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Figured out how to extract periodicity of any lattice also determine its type, made modifications to plotting routines, included new colormaps.

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Karthik 2025-02-01 04:30:54 +01:00
parent 58fc2dae02
commit 5d07f3eb39
12 changed files with 1378 additions and 110 deletions
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76
Dipolar-Gas-Simulator/+Helper/+Colormaps/fake_parula.m Normal file
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function cm_data=fake_parula(m)
cm = [[0.2081, 0.1663, 0.5292],
[0.2116238095, 0.1897809524, 0.5776761905],
[0.212252381, 0.2137714286, 0.6269714286],
[0.2081, 0.2386, 0.6770857143],
[0.1959047619, 0.2644571429, 0.7279],
[0.1707285714, 0.2919380952, 0.779247619],
[0.1252714286, 0.3242428571, 0.8302714286],
[0.0591333333, 0.3598333333, 0.8683333333],
[0.0116952381, 0.3875095238, 0.8819571429],
[0.0059571429, 0.4086142857, 0.8828428571],
[0.0165142857, 0.4266, 0.8786333333],
[0.032852381, 0.4430428571, 0.8719571429],
[0.0498142857, 0.4585714286, 0.8640571429],
[0.0629333333, 0.4736904762, 0.8554380952],
[0.0722666667, 0.4886666667, 0.8467],
[0.0779428571, 0.5039857143, 0.8383714286],
[0.079347619, 0.5200238095, 0.8311809524],
[0.0749428571, 0.5375428571, 0.8262714286],
[0.0640571429, 0.5569857143, 0.8239571429],
[0.0487714286, 0.5772238095, 0.8228285714],
[0.0343428571, 0.5965809524, 0.819852381],
[0.0265, 0.6137, 0.8135],
[0.0238904762, 0.6286619048, 0.8037619048],
[0.0230904762, 0.6417857143, 0.7912666667],
[0.0227714286, 0.6534857143, 0.7767571429],
[0.0266619048, 0.6641952381, 0.7607190476],
[0.0383714286, 0.6742714286, 0.743552381],
[0.0589714286, 0.6837571429, 0.7253857143],
[0.0843, 0.6928333333, 0.7061666667],
[0.1132952381, 0.7015, 0.6858571429],
[0.1452714286, 0.7097571429, 0.6646285714],
[0.1801333333, 0.7176571429, 0.6424333333],
[0.2178285714, 0.7250428571, 0.6192619048],
[0.2586428571, 0.7317142857, 0.5954285714],
[0.3021714286, 0.7376047619, 0.5711857143],
[0.3481666667, 0.7424333333, 0.5472666667],
[0.3952571429, 0.7459, 0.5244428571],
[0.4420095238, 0.7480809524, 0.5033142857],
[0.4871238095, 0.7490619048, 0.4839761905],
[0.5300285714, 0.7491142857, 0.4661142857],
[0.5708571429, 0.7485190476, 0.4493904762],
[0.609852381, 0.7473142857, 0.4336857143],
[0.6473, 0.7456, 0.4188],
[0.6834190476, 0.7434761905, 0.4044333333],
[0.7184095238, 0.7411333333, 0.3904761905],
[0.7524857143, 0.7384, 0.3768142857],
[0.7858428571, 0.7355666667, 0.3632714286],
[0.8185047619, 0.7327333333, 0.3497904762],
[0.8506571429, 0.7299, 0.3360285714],
[0.8824333333, 0.7274333333, 0.3217],
[0.9139333333, 0.7257857143, 0.3062761905],
[0.9449571429, 0.7261142857, 0.2886428571],
[0.9738952381, 0.7313952381, 0.266647619],
[0.9937714286, 0.7454571429, 0.240347619],
[0.9990428571, 0.7653142857, 0.2164142857],
[0.9955333333, 0.7860571429, 0.196652381],
[0.988, 0.8066, 0.1793666667],
[0.9788571429, 0.8271428571, 0.1633142857],
[0.9697, 0.8481380952, 0.147452381],
[0.9625857143, 0.8705142857, 0.1309],
[0.9588714286, 0.8949, 0.1132428571],
[0.9598238095, 0.9218333333, 0.0948380952],
[0.9661, 0.9514428571, 0.0755333333],
[0.9763, 0.9831, 0.0538]];
if nargin < 1
cm_data = cm;
else
hsv=rgb2hsv(cm);
cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m));
cm_data=hsv2rgb(cm_data);
end
end

269
Dipolar-Gas-Simulator/+Helper/+Colormaps/inferno.m Normal file
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function [cm_data]=inferno(m)
cm = [[ 1.46159096e-03, 4.66127766e-04, 1.38655200e-02],
[ 2.26726368e-03, 1.26992553e-03, 1.85703520e-02],
[ 3.29899092e-03, 2.24934863e-03, 2.42390508e-02],
[ 4.54690615e-03, 3.39180156e-03, 3.09092475e-02],
[ 6.00552565e-03, 4.69194561e-03, 3.85578980e-02],
[ 7.67578856e-03, 6.13611626e-03, 4.68360336e-02],
[ 9.56051094e-03, 7.71344131e-03, 5.51430756e-02],
[ 1.16634769e-02, 9.41675403e-03, 6.34598080e-02],
[ 1.39950388e-02, 1.12247138e-02, 7.18616890e-02],
[ 1.65605595e-02, 1.31362262e-02, 8.02817951e-02],
[ 1.93732295e-02, 1.51325789e-02, 8.87668094e-02],
[ 2.24468865e-02, 1.71991484e-02, 9.73274383e-02],
[ 2.57927373e-02, 1.93306298e-02, 1.05929835e-01],
[ 2.94324251e-02, 2.15030771e-02, 1.14621328e-01],
[ 3.33852235e-02, 2.37024271e-02, 1.23397286e-01],
[ 3.76684211e-02, 2.59207864e-02, 1.32232108e-01],
[ 4.22525554e-02, 2.81385015e-02, 1.41140519e-01],
[ 4.69146287e-02, 3.03236129e-02, 1.50163867e-01],
[ 5.16437624e-02, 3.24736172e-02, 1.59254277e-01],
[ 5.64491009e-02, 3.45691867e-02, 1.68413539e-01],
[ 6.13397200e-02, 3.65900213e-02, 1.77642172e-01],
[ 6.63312620e-02, 3.85036268e-02, 1.86961588e-01],
[ 7.14289181e-02, 4.02939095e-02, 1.96353558e-01],
[ 7.66367560e-02, 4.19053329e-02, 2.05798788e-01],
[ 8.19620773e-02, 4.33278666e-02, 2.15289113e-01],
[ 8.74113897e-02, 4.45561662e-02, 2.24813479e-01],
[ 9.29901526e-02, 4.55829503e-02, 2.34357604e-01],
[ 9.87024972e-02, 4.64018731e-02, 2.43903700e-01],
[ 1.04550936e-01, 4.70080541e-02, 2.53430300e-01],
[ 1.10536084e-01, 4.73986708e-02, 2.62912235e-01],
[ 1.16656423e-01, 4.75735920e-02, 2.72320803e-01],
[ 1.22908126e-01, 4.75360183e-02, 2.81624170e-01],
[ 1.29284984e-01, 4.72930838e-02, 2.90788012e-01],
[ 1.35778450e-01, 4.68563678e-02, 2.99776404e-01],
[ 1.42377819e-01, 4.62422566e-02, 3.08552910e-01],
[ 1.49072957e-01, 4.54676444e-02, 3.17085139e-01],
[ 1.55849711e-01, 4.45588056e-02, 3.25338414e-01],
[ 1.62688939e-01, 4.35542881e-02, 3.33276678e-01],
[ 1.69575148e-01, 4.24893149e-02, 3.40874188e-01],
[ 1.76493202e-01, 4.14017089e-02, 3.48110606e-01],
[ 1.83428775e-01, 4.03288858e-02, 3.54971391e-01],
[ 1.90367453e-01, 3.93088888e-02, 3.61446945e-01],
[ 1.97297425e-01, 3.84001825e-02, 3.67534629e-01],
[ 2.04209298e-01, 3.76322609e-02, 3.73237557e-01],
[ 2.11095463e-01, 3.70296488e-02, 3.78563264e-01],
[ 2.17948648e-01, 3.66146049e-02, 3.83522415e-01],
[ 2.24762908e-01, 3.64049901e-02, 3.88128944e-01],
[ 2.31538148e-01, 3.64052511e-02, 3.92400150e-01],
[ 2.38272961e-01, 3.66209949e-02, 3.96353388e-01],
[ 2.44966911e-01, 3.70545017e-02, 4.00006615e-01],
[ 2.51620354e-01, 3.77052832e-02, 4.03377897e-01],
[ 2.58234265e-01, 3.85706153e-02, 4.06485031e-01],
[ 2.64809649e-01, 3.96468666e-02, 4.09345373e-01],
[ 2.71346664e-01, 4.09215821e-02, 4.11976086e-01],
[ 2.77849829e-01, 4.23528741e-02, 4.14392106e-01],
[ 2.84321318e-01, 4.39325787e-02, 4.16607861e-01],
[ 2.90763373e-01, 4.56437598e-02, 4.18636756e-01],
[ 2.97178251e-01, 4.74700293e-02, 4.20491164e-01],
[ 3.03568182e-01, 4.93958927e-02, 4.22182449e-01],
[ 3.09935342e-01, 5.14069729e-02, 4.23720999e-01],
[ 3.16281835e-01, 5.34901321e-02, 4.25116277e-01],
[ 3.22609671e-01, 5.56335178e-02, 4.26376869e-01],
[ 3.28920763e-01, 5.78265505e-02, 4.27510546e-01],
[ 3.35216916e-01, 6.00598734e-02, 4.28524320e-01],
[ 3.41499828e-01, 6.23252772e-02, 4.29424503e-01],
[ 3.47771086e-01, 6.46156100e-02, 4.30216765e-01],
[ 3.54032169e-01, 6.69246832e-02, 4.30906186e-01],
[ 3.60284449e-01, 6.92471753e-02, 4.31497309e-01],
[ 3.66529195e-01, 7.15785403e-02, 4.31994185e-01],
[ 3.72767575e-01, 7.39149211e-02, 4.32400419e-01],
[ 3.79000659e-01, 7.62530701e-02, 4.32719214e-01],
[ 3.85228383e-01, 7.85914864e-02, 4.32954973e-01],
[ 3.91452659e-01, 8.09267058e-02, 4.33108763e-01],
[ 3.97674379e-01, 8.32568129e-02, 4.33182647e-01],
[ 4.03894278e-01, 8.55803445e-02, 4.33178526e-01],
[ 4.10113015e-01, 8.78961593e-02, 4.33098056e-01],
[ 4.16331169e-01, 9.02033992e-02, 4.32942678e-01],
[ 4.22549249e-01, 9.25014543e-02, 4.32713635e-01],
[ 4.28767696e-01, 9.47899342e-02, 4.32411996e-01],
[ 4.34986885e-01, 9.70686417e-02, 4.32038673e-01],
[ 4.41207124e-01, 9.93375510e-02, 4.31594438e-01],
[ 4.47428382e-01, 1.01597079e-01, 4.31080497e-01],
[ 4.53650614e-01, 1.03847716e-01, 4.30497898e-01],
[ 4.59874623e-01, 1.06089165e-01, 4.29845789e-01],
[ 4.66100494e-01, 1.08321923e-01, 4.29124507e-01],
[ 4.72328255e-01, 1.10546584e-01, 4.28334320e-01],
[ 4.78557889e-01, 1.12763831e-01, 4.27475431e-01],
[ 4.84789325e-01, 1.14974430e-01, 4.26547991e-01],
[ 4.91022448e-01, 1.17179219e-01, 4.25552106e-01],
[ 4.97257069e-01, 1.19379132e-01, 4.24487908e-01],
[ 5.03492698e-01, 1.21575414e-01, 4.23356110e-01],
[ 5.09729541e-01, 1.23768654e-01, 4.22155676e-01],
[ 5.15967304e-01, 1.25959947e-01, 4.20886594e-01],
[ 5.22205646e-01, 1.28150439e-01, 4.19548848e-01],
[ 5.28444192e-01, 1.30341324e-01, 4.18142411e-01],
[ 5.34682523e-01, 1.32533845e-01, 4.16667258e-01],
[ 5.40920186e-01, 1.34729286e-01, 4.15123366e-01],
[ 5.47156706e-01, 1.36928959e-01, 4.13510662e-01],
[ 5.53391649e-01, 1.39134147e-01, 4.11828882e-01],
[ 5.59624442e-01, 1.41346265e-01, 4.10078028e-01],
[ 5.65854477e-01, 1.43566769e-01, 4.08258132e-01],
[ 5.72081108e-01, 1.45797150e-01, 4.06369246e-01],
[ 5.78303656e-01, 1.48038934e-01, 4.04411444e-01],
[ 5.84521407e-01, 1.50293679e-01, 4.02384829e-01],
[ 5.90733615e-01, 1.52562977e-01, 4.00289528e-01],
[ 5.96939751e-01, 1.54848232e-01, 3.98124897e-01],
[ 6.03138930e-01, 1.57151161e-01, 3.95891308e-01],
[ 6.09330184e-01, 1.59473549e-01, 3.93589349e-01],
[ 6.15512627e-01, 1.61817111e-01, 3.91219295e-01],
[ 6.21685340e-01, 1.64183582e-01, 3.88781456e-01],
[ 6.27847374e-01, 1.66574724e-01, 3.86276180e-01],
[ 6.33997746e-01, 1.68992314e-01, 3.83703854e-01],
[ 6.40135447e-01, 1.71438150e-01, 3.81064906e-01],
[ 6.46259648e-01, 1.73913876e-01, 3.78358969e-01],
[ 6.52369348e-01, 1.76421271e-01, 3.75586209e-01],
[ 6.58463166e-01, 1.78962399e-01, 3.72748214e-01],
[ 6.64539964e-01, 1.81539111e-01, 3.69845599e-01],
[ 6.70598572e-01, 1.84153268e-01, 3.66879025e-01],
[ 6.76637795e-01, 1.86806728e-01, 3.63849195e-01],
[ 6.82656407e-01, 1.89501352e-01, 3.60756856e-01],
[ 6.88653158e-01, 1.92238994e-01, 3.57602797e-01],
[ 6.94626769e-01, 1.95021500e-01, 3.54387853e-01],
[ 7.00575937e-01, 1.97850703e-01, 3.51112900e-01],
[ 7.06499709e-01, 2.00728196e-01, 3.47776863e-01],
[ 7.12396345e-01, 2.03656029e-01, 3.44382594e-01],
[ 7.18264447e-01, 2.06635993e-01, 3.40931208e-01],
[ 7.24102613e-01, 2.09669834e-01, 3.37423766e-01],
[ 7.29909422e-01, 2.12759270e-01, 3.33861367e-01],
[ 7.35683432e-01, 2.15905976e-01, 3.30245147e-01],
[ 7.41423185e-01, 2.19111589e-01, 3.26576275e-01],
[ 7.47127207e-01, 2.22377697e-01, 3.22855952e-01],
[ 7.52794009e-01, 2.25705837e-01, 3.19085410e-01],
[ 7.58422090e-01, 2.29097492e-01, 3.15265910e-01],
[ 7.64009940e-01, 2.32554083e-01, 3.11398734e-01],
[ 7.69556038e-01, 2.36076967e-01, 3.07485188e-01],
[ 7.75058888e-01, 2.39667435e-01, 3.03526312e-01],
[ 7.80517023e-01, 2.43326720e-01, 2.99522665e-01],
[ 7.85928794e-01, 2.47055968e-01, 2.95476756e-01],
[ 7.91292674e-01, 2.50856232e-01, 2.91389943e-01],
[ 7.96607144e-01, 2.54728485e-01, 2.87263585e-01],
[ 8.01870689e-01, 2.58673610e-01, 2.83099033e-01],
[ 8.07081807e-01, 2.62692401e-01, 2.78897629e-01],
[ 8.12239008e-01, 2.66785558e-01, 2.74660698e-01],
[ 8.17340818e-01, 2.70953688e-01, 2.70389545e-01],
[ 8.22385784e-01, 2.75197300e-01, 2.66085445e-01],
[ 8.27372474e-01, 2.79516805e-01, 2.61749643e-01],
[ 8.32299481e-01, 2.83912516e-01, 2.57383341e-01],
[ 8.37165425e-01, 2.88384647e-01, 2.52987700e-01],
[ 8.41968959e-01, 2.92933312e-01, 2.48563825e-01],
[ 8.46708768e-01, 2.97558528e-01, 2.44112767e-01],
[ 8.51383572e-01, 3.02260213e-01, 2.39635512e-01],
[ 8.55992130e-01, 3.07038188e-01, 2.35132978e-01],
[ 8.60533241e-01, 3.11892183e-01, 2.30606009e-01],
[ 8.65005747e-01, 3.16821833e-01, 2.26055368e-01],
[ 8.69408534e-01, 3.21826685e-01, 2.21481734e-01],
[ 8.73740530e-01, 3.26906201e-01, 2.16885699e-01],
[ 8.78000715e-01, 3.32059760e-01, 2.12267762e-01],
[ 8.82188112e-01, 3.37286663e-01, 2.07628326e-01],
[ 8.86301795e-01, 3.42586137e-01, 2.02967696e-01],
[ 8.90340885e-01, 3.47957340e-01, 1.98286080e-01],
[ 8.94304553e-01, 3.53399363e-01, 1.93583583e-01],
[ 8.98192017e-01, 3.58911240e-01, 1.88860212e-01],
[ 9.02002544e-01, 3.64491949e-01, 1.84115876e-01],
[ 9.05735448e-01, 3.70140419e-01, 1.79350388e-01],
[ 9.09390090e-01, 3.75855533e-01, 1.74563472e-01],
[ 9.12965874e-01, 3.81636138e-01, 1.69754764e-01],
[ 9.16462251e-01, 3.87481044e-01, 1.64923826e-01],
[ 9.19878710e-01, 3.93389034e-01, 1.60070152e-01],
[ 9.23214783e-01, 3.99358867e-01, 1.55193185e-01],
[ 9.26470039e-01, 4.05389282e-01, 1.50292329e-01],
[ 9.29644083e-01, 4.11479007e-01, 1.45366973e-01],
[ 9.32736555e-01, 4.17626756e-01, 1.40416519e-01],
[ 9.35747126e-01, 4.23831237e-01, 1.35440416e-01],
[ 9.38675494e-01, 4.30091162e-01, 1.30438175e-01],
[ 9.41521384e-01, 4.36405243e-01, 1.25409440e-01],
[ 9.44284543e-01, 4.42772199e-01, 1.20354038e-01],
[ 9.46964741e-01, 4.49190757e-01, 1.15272059e-01],
[ 9.49561766e-01, 4.55659658e-01, 1.10163947e-01],
[ 9.52075421e-01, 4.62177656e-01, 1.05030614e-01],
[ 9.54505523e-01, 4.68743522e-01, 9.98735931e-02],
[ 9.56851903e-01, 4.75356048e-01, 9.46952268e-02],
[ 9.59114397e-01, 4.82014044e-01, 8.94989073e-02],
[ 9.61292850e-01, 4.88716345e-01, 8.42893891e-02],
[ 9.63387110e-01, 4.95461806e-01, 7.90731907e-02],
[ 9.65397031e-01, 5.02249309e-01, 7.38591143e-02],
[ 9.67322465e-01, 5.09077761e-01, 6.86589199e-02],
[ 9.69163264e-01, 5.15946092e-01, 6.34881971e-02],
[ 9.70919277e-01, 5.22853259e-01, 5.83674890e-02],
[ 9.72590351e-01, 5.29798246e-01, 5.33237243e-02],
[ 9.74176327e-01, 5.36780059e-01, 4.83920090e-02],
[ 9.75677038e-01, 5.43797733e-01, 4.36177922e-02],
[ 9.77092313e-01, 5.50850323e-01, 3.90500131e-02],
[ 9.78421971e-01, 5.57936911e-01, 3.49306227e-02],
[ 9.79665824e-01, 5.65056600e-01, 3.14091591e-02],
[ 9.80823673e-01, 5.72208516e-01, 2.85075931e-02],
[ 9.81895311e-01, 5.79391803e-01, 2.62497353e-02],
[ 9.82880522e-01, 5.86605627e-01, 2.46613416e-02],
[ 9.83779081e-01, 5.93849168e-01, 2.37702263e-02],
[ 9.84590755e-01, 6.01121626e-01, 2.36063833e-02],
[ 9.85315301e-01, 6.08422211e-01, 2.42021174e-02],
[ 9.85952471e-01, 6.15750147e-01, 2.55921853e-02],
[ 9.86502013e-01, 6.23104667e-01, 2.78139496e-02],
[ 9.86963670e-01, 6.30485011e-01, 3.09075459e-02],
[ 9.87337182e-01, 6.37890424e-01, 3.49160639e-02],
[ 9.87622296e-01, 6.45320152e-01, 3.98857472e-02],
[ 9.87818759e-01, 6.52773439e-01, 4.55808037e-02],
[ 9.87926330e-01, 6.60249526e-01, 5.17503867e-02],
[ 9.87944783e-01, 6.67747641e-01, 5.83286889e-02],
[ 9.87873910e-01, 6.75267000e-01, 6.52570167e-02],
[ 9.87713535e-01, 6.82806802e-01, 7.24892330e-02],
[ 9.87463516e-01, 6.90366218e-01, 7.99897176e-02],
[ 9.87123759e-01, 6.97944391e-01, 8.77314215e-02],
[ 9.86694229e-01, 7.05540424e-01, 9.56941797e-02],
[ 9.86174970e-01, 7.13153375e-01, 1.03863324e-01],
[ 9.85565739e-01, 7.20782460e-01, 1.12228756e-01],
[ 9.84865203e-01, 7.28427497e-01, 1.20784651e-01],
[ 9.84075129e-01, 7.36086521e-01, 1.29526579e-01],
[ 9.83195992e-01, 7.43758326e-01, 1.38453063e-01],
[ 9.82228463e-01, 7.51441596e-01, 1.47564573e-01],
[ 9.81173457e-01, 7.59134892e-01, 1.56863224e-01],
[ 9.80032178e-01, 7.66836624e-01, 1.66352544e-01],
[ 9.78806183e-01, 7.74545028e-01, 1.76037298e-01],
[ 9.77497453e-01, 7.82258138e-01, 1.85923357e-01],
[ 9.76108474e-01, 7.89973753e-01, 1.96017589e-01],
[ 9.74637842e-01, 7.97691563e-01, 2.06331925e-01],
[ 9.73087939e-01, 8.05409333e-01, 2.16876839e-01],
[ 9.71467822e-01, 8.13121725e-01, 2.27658046e-01],
[ 9.69783146e-01, 8.20825143e-01, 2.38685942e-01],
[ 9.68040817e-01, 8.28515491e-01, 2.49971582e-01],
[ 9.66242589e-01, 8.36190976e-01, 2.61533898e-01],
[ 9.64393924e-01, 8.43848069e-01, 2.73391112e-01],
[ 9.62516656e-01, 8.51476340e-01, 2.85545675e-01],
[ 9.60625545e-01, 8.59068716e-01, 2.98010219e-01],
[ 9.58720088e-01, 8.66624355e-01, 3.10820466e-01],
[ 9.56834075e-01, 8.74128569e-01, 3.23973947e-01],
[ 9.54997177e-01, 8.81568926e-01, 3.37475479e-01],
[ 9.53215092e-01, 8.88942277e-01, 3.51368713e-01],
[ 9.51546225e-01, 8.96225909e-01, 3.65627005e-01],
[ 9.50018481e-01, 9.03409063e-01, 3.80271225e-01],
[ 9.48683391e-01, 9.10472964e-01, 3.95289169e-01],
[ 9.47594362e-01, 9.17399053e-01, 4.10665194e-01],
[ 9.46809163e-01, 9.24168246e-01, 4.26373236e-01],
[ 9.46391536e-01, 9.30760752e-01, 4.42367495e-01],
[ 9.46402951e-01, 9.37158971e-01, 4.58591507e-01],
[ 9.46902568e-01, 9.43347775e-01, 4.74969778e-01],
[ 9.47936825e-01, 9.49317522e-01, 4.91426053e-01],
[ 9.49544830e-01, 9.55062900e-01, 5.07859649e-01],
[ 9.51740304e-01, 9.60586693e-01, 5.24203026e-01],
[ 9.54529281e-01, 9.65895868e-01, 5.40360752e-01],
[ 9.57896053e-01, 9.71003330e-01, 5.56275090e-01],
[ 9.61812020e-01, 9.75924241e-01, 5.71925382e-01],
[ 9.66248822e-01, 9.80678193e-01, 5.87205773e-01],
[ 9.71161622e-01, 9.85282161e-01, 6.02154330e-01],
[ 9.76510983e-01, 9.89753437e-01, 6.16760413e-01],
[ 9.82257307e-01, 9.94108844e-01, 6.31017009e-01],
[ 9.88362068e-01, 9.98364143e-01, 6.44924005e-01]];
if nargin < 1
cm_data = cm;
else
hsv=rgb2hsv(cm);
hsv(144:end,1)=hsv(144:end,1)+1; % hardcoded
cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m));
cm_data(cm_data(:,1)>1,1)=cm_data(cm_data(:,1)>1,1)-1;
cm_data=hsv2rgb(cm_data);
end
end

271
Dipolar-Gas-Simulator/+Helper/+Colormaps/magma.m Normal file
View File

@ -0,0 +1,271 @@
function [cm_data]=magma(m)
cm = [[ 1.46159096e-03, 4.66127766e-04, 1.38655200e-02],
[ 2.25764007e-03, 1.29495431e-03, 1.83311461e-02],
[ 3.27943222e-03, 2.30452991e-03, 2.37083291e-02],
[ 4.51230222e-03, 3.49037666e-03, 2.99647059e-02],
[ 5.94976987e-03, 4.84285000e-03, 3.71296695e-02],
[ 7.58798550e-03, 6.35613622e-03, 4.49730774e-02],
[ 9.42604390e-03, 8.02185006e-03, 5.28443561e-02],
[ 1.14654337e-02, 9.82831486e-03, 6.07496380e-02],
[ 1.37075706e-02, 1.17705913e-02, 6.86665843e-02],
[ 1.61557566e-02, 1.38404966e-02, 7.66026660e-02],
[ 1.88153670e-02, 1.60262753e-02, 8.45844897e-02],
[ 2.16919340e-02, 1.83201254e-02, 9.26101050e-02],
[ 2.47917814e-02, 2.07147875e-02, 1.00675555e-01],
[ 2.81228154e-02, 2.32009284e-02, 1.08786954e-01],
[ 3.16955304e-02, 2.57651161e-02, 1.16964722e-01],
[ 3.55204468e-02, 2.83974570e-02, 1.25209396e-01],
[ 3.96084872e-02, 3.10895652e-02, 1.33515085e-01],
[ 4.38295350e-02, 3.38299885e-02, 1.41886249e-01],
[ 4.80616391e-02, 3.66066101e-02, 1.50326989e-01],
[ 5.23204388e-02, 3.94066020e-02, 1.58841025e-01],
[ 5.66148978e-02, 4.21598925e-02, 1.67445592e-01],
[ 6.09493930e-02, 4.47944924e-02, 1.76128834e-01],
[ 6.53301801e-02, 4.73177796e-02, 1.84891506e-01],
[ 6.97637296e-02, 4.97264666e-02, 1.93735088e-01],
[ 7.42565152e-02, 5.20167766e-02, 2.02660374e-01],
[ 7.88150034e-02, 5.41844801e-02, 2.11667355e-01],
[ 8.34456313e-02, 5.62249365e-02, 2.20755099e-01],
[ 8.81547730e-02, 5.81331465e-02, 2.29921611e-01],
[ 9.29486914e-02, 5.99038167e-02, 2.39163669e-01],
[ 9.78334770e-02, 6.15314414e-02, 2.48476662e-01],
[ 1.02814972e-01, 6.30104053e-02, 2.57854400e-01],
[ 1.07898679e-01, 6.43351102e-02, 2.67288933e-01],
[ 1.13094451e-01, 6.54920358e-02, 2.76783978e-01],
[ 1.18405035e-01, 6.64791593e-02, 2.86320656e-01],
[ 1.23832651e-01, 6.72946449e-02, 2.95879431e-01],
[ 1.29380192e-01, 6.79349264e-02, 3.05442931e-01],
[ 1.35053322e-01, 6.83912798e-02, 3.14999890e-01],
[ 1.40857952e-01, 6.86540710e-02, 3.24537640e-01],
[ 1.46785234e-01, 6.87382323e-02, 3.34011109e-01],
[ 1.52839217e-01, 6.86368599e-02, 3.43404450e-01],
[ 1.59017511e-01, 6.83540225e-02, 3.52688028e-01],
[ 1.65308131e-01, 6.79108689e-02, 3.61816426e-01],
[ 1.71713033e-01, 6.73053260e-02, 3.70770827e-01],
[ 1.78211730e-01, 6.65758073e-02, 3.79497161e-01],
[ 1.84800877e-01, 6.57324381e-02, 3.87972507e-01],
[ 1.91459745e-01, 6.48183312e-02, 3.96151969e-01],
[ 1.98176877e-01, 6.38624166e-02, 4.04008953e-01],
[ 2.04934882e-01, 6.29066192e-02, 4.11514273e-01],
[ 2.11718061e-01, 6.19917876e-02, 4.18646741e-01],
[ 2.18511590e-01, 6.11584918e-02, 4.25391816e-01],
[ 2.25302032e-01, 6.04451843e-02, 4.31741767e-01],
[ 2.32076515e-01, 5.98886855e-02, 4.37694665e-01],
[ 2.38825991e-01, 5.95170384e-02, 4.43255999e-01],
[ 2.45543175e-01, 5.93524384e-02, 4.48435938e-01],
[ 2.52220252e-01, 5.94147119e-02, 4.53247729e-01],
[ 2.58857304e-01, 5.97055998e-02, 4.57709924e-01],
[ 2.65446744e-01, 6.02368754e-02, 4.61840297e-01],
[ 2.71994089e-01, 6.09935552e-02, 4.65660375e-01],
[ 2.78493300e-01, 6.19778136e-02, 4.69190328e-01],
[ 2.84951097e-01, 6.31676261e-02, 4.72450879e-01],
[ 2.91365817e-01, 6.45534486e-02, 4.75462193e-01],
[ 2.97740413e-01, 6.61170432e-02, 4.78243482e-01],
[ 3.04080941e-01, 6.78353452e-02, 4.80811572e-01],
[ 3.10382027e-01, 6.97024767e-02, 4.83186340e-01],
[ 3.16654235e-01, 7.16895272e-02, 4.85380429e-01],
[ 3.22899126e-01, 7.37819504e-02, 4.87408399e-01],
[ 3.29114038e-01, 7.59715081e-02, 4.89286796e-01],
[ 3.35307503e-01, 7.82361045e-02, 4.91024144e-01],
[ 3.41481725e-01, 8.05635079e-02, 4.92631321e-01],
[ 3.47635742e-01, 8.29463512e-02, 4.94120923e-01],
[ 3.53773161e-01, 8.53726329e-02, 4.95501096e-01],
[ 3.59897941e-01, 8.78311772e-02, 4.96778331e-01],
[ 3.66011928e-01, 9.03143031e-02, 4.97959963e-01],
[ 3.72116205e-01, 9.28159917e-02, 4.99053326e-01],
[ 3.78210547e-01, 9.53322947e-02, 5.00066568e-01],
[ 3.84299445e-01, 9.78549106e-02, 5.01001964e-01],
[ 3.90384361e-01, 1.00379466e-01, 5.01864236e-01],
[ 3.96466670e-01, 1.02902194e-01, 5.02657590e-01],
[ 4.02547663e-01, 1.05419865e-01, 5.03385761e-01],
[ 4.08628505e-01, 1.07929771e-01, 5.04052118e-01],
[ 4.14708664e-01, 1.10431177e-01, 5.04661843e-01],
[ 4.20791157e-01, 1.12920210e-01, 5.05214935e-01],
[ 4.26876965e-01, 1.15395258e-01, 5.05713602e-01],
[ 4.32967001e-01, 1.17854987e-01, 5.06159754e-01],
[ 4.39062114e-01, 1.20298314e-01, 5.06555026e-01],
[ 4.45163096e-01, 1.22724371e-01, 5.06900806e-01],
[ 4.51270678e-01, 1.25132484e-01, 5.07198258e-01],
[ 4.57385535e-01, 1.27522145e-01, 5.07448336e-01],
[ 4.63508291e-01, 1.29892998e-01, 5.07651812e-01],
[ 4.69639514e-01, 1.32244819e-01, 5.07809282e-01],
[ 4.75779723e-01, 1.34577500e-01, 5.07921193e-01],
[ 4.81928997e-01, 1.36891390e-01, 5.07988509e-01],
[ 4.88088169e-01, 1.39186217e-01, 5.08010737e-01],
[ 4.94257673e-01, 1.41462106e-01, 5.07987836e-01],
[ 5.00437834e-01, 1.43719323e-01, 5.07919772e-01],
[ 5.06628929e-01, 1.45958202e-01, 5.07806420e-01],
[ 5.12831195e-01, 1.48179144e-01, 5.07647570e-01],
[ 5.19044825e-01, 1.50382611e-01, 5.07442938e-01],
[ 5.25269968e-01, 1.52569121e-01, 5.07192172e-01],
[ 5.31506735e-01, 1.54739247e-01, 5.06894860e-01],
[ 5.37755194e-01, 1.56893613e-01, 5.06550538e-01],
[ 5.44015371e-01, 1.59032895e-01, 5.06158696e-01],
[ 5.50287252e-01, 1.61157816e-01, 5.05718782e-01],
[ 5.56570783e-01, 1.63269149e-01, 5.05230210e-01],
[ 5.62865867e-01, 1.65367714e-01, 5.04692365e-01],
[ 5.69172368e-01, 1.67454379e-01, 5.04104606e-01],
[ 5.75490107e-01, 1.69530062e-01, 5.03466273e-01],
[ 5.81818864e-01, 1.71595728e-01, 5.02776690e-01],
[ 5.88158375e-01, 1.73652392e-01, 5.02035167e-01],
[ 5.94508337e-01, 1.75701122e-01, 5.01241011e-01],
[ 6.00868399e-01, 1.77743036e-01, 5.00393522e-01],
[ 6.07238169e-01, 1.79779309e-01, 4.99491999e-01],
[ 6.13617209e-01, 1.81811170e-01, 4.98535746e-01],
[ 6.20005032e-01, 1.83839907e-01, 4.97524075e-01],
[ 6.26401108e-01, 1.85866869e-01, 4.96456304e-01],
[ 6.32804854e-01, 1.87893468e-01, 4.95331769e-01],
[ 6.39215638e-01, 1.89921182e-01, 4.94149821e-01],
[ 6.45632778e-01, 1.91951556e-01, 4.92909832e-01],
[ 6.52055535e-01, 1.93986210e-01, 4.91611196e-01],
[ 6.58483116e-01, 1.96026835e-01, 4.90253338e-01],
[ 6.64914668e-01, 1.98075202e-01, 4.88835712e-01],
[ 6.71349279e-01, 2.00133166e-01, 4.87357807e-01],
[ 6.77785975e-01, 2.02202663e-01, 4.85819154e-01],
[ 6.84223712e-01, 2.04285721e-01, 4.84219325e-01],
[ 6.90661380e-01, 2.06384461e-01, 4.82557941e-01],
[ 6.97097796e-01, 2.08501100e-01, 4.80834678e-01],
[ 7.03531700e-01, 2.10637956e-01, 4.79049270e-01],
[ 7.09961888e-01, 2.12797337e-01, 4.77201121e-01],
[ 7.16387038e-01, 2.14981693e-01, 4.75289780e-01],
[ 7.22805451e-01, 2.17193831e-01, 4.73315708e-01],
[ 7.29215521e-01, 2.19436516e-01, 4.71278924e-01],
[ 7.35615545e-01, 2.21712634e-01, 4.69179541e-01],
[ 7.42003713e-01, 2.24025196e-01, 4.67017774e-01],
[ 7.48378107e-01, 2.26377345e-01, 4.64793954e-01],
[ 7.54736692e-01, 2.28772352e-01, 4.62508534e-01],
[ 7.61077312e-01, 2.31213625e-01, 4.60162106e-01],
[ 7.67397681e-01, 2.33704708e-01, 4.57755411e-01],
[ 7.73695380e-01, 2.36249283e-01, 4.55289354e-01],
[ 7.79967847e-01, 2.38851170e-01, 4.52765022e-01],
[ 7.86212372e-01, 2.41514325e-01, 4.50183695e-01],
[ 7.92426972e-01, 2.44242250e-01, 4.47543155e-01],
[ 7.98607760e-01, 2.47039798e-01, 4.44848441e-01],
[ 8.04751511e-01, 2.49911350e-01, 4.42101615e-01],
[ 8.10854841e-01, 2.52861399e-01, 4.39304963e-01],
[ 8.16914186e-01, 2.55894550e-01, 4.36461074e-01],
[ 8.22925797e-01, 2.59015505e-01, 4.33572874e-01],
[ 8.28885740e-01, 2.62229049e-01, 4.30643647e-01],
[ 8.34790818e-01, 2.65539703e-01, 4.27671352e-01],
[ 8.40635680e-01, 2.68952874e-01, 4.24665620e-01],
[ 8.46415804e-01, 2.72473491e-01, 4.21631064e-01],
[ 8.52126490e-01, 2.76106469e-01, 4.18572767e-01],
[ 8.57762870e-01, 2.79856666e-01, 4.15496319e-01],
[ 8.63320397e-01, 2.83729003e-01, 4.12402889e-01],
[ 8.68793368e-01, 2.87728205e-01, 4.09303002e-01],
[ 8.74176342e-01, 2.91858679e-01, 4.06205397e-01],
[ 8.79463944e-01, 2.96124596e-01, 4.03118034e-01],
[ 8.84650824e-01, 3.00530090e-01, 4.00047060e-01],
[ 8.89731418e-01, 3.05078817e-01, 3.97001559e-01],
[ 8.94700194e-01, 3.09773445e-01, 3.93994634e-01],
[ 8.99551884e-01, 3.14616425e-01, 3.91036674e-01],
[ 9.04281297e-01, 3.19609981e-01, 3.88136889e-01],
[ 9.08883524e-01, 3.24755126e-01, 3.85308008e-01],
[ 9.13354091e-01, 3.30051947e-01, 3.82563414e-01],
[ 9.17688852e-01, 3.35500068e-01, 3.79915138e-01],
[ 9.21884187e-01, 3.41098112e-01, 3.77375977e-01],
[ 9.25937102e-01, 3.46843685e-01, 3.74959077e-01],
[ 9.29845090e-01, 3.52733817e-01, 3.72676513e-01],
[ 9.33606454e-01, 3.58764377e-01, 3.70540883e-01],
[ 9.37220874e-01, 3.64929312e-01, 3.68566525e-01],
[ 9.40687443e-01, 3.71224168e-01, 3.66761699e-01],
[ 9.44006448e-01, 3.77642889e-01, 3.65136328e-01],
[ 9.47179528e-01, 3.84177874e-01, 3.63701130e-01],
[ 9.50210150e-01, 3.90819546e-01, 3.62467694e-01],
[ 9.53099077e-01, 3.97562894e-01, 3.61438431e-01],
[ 9.55849237e-01, 4.04400213e-01, 3.60619076e-01],
[ 9.58464079e-01, 4.11323666e-01, 3.60014232e-01],
[ 9.60949221e-01, 4.18323245e-01, 3.59629789e-01],
[ 9.63310281e-01, 4.25389724e-01, 3.59469020e-01],
[ 9.65549351e-01, 4.32518707e-01, 3.59529151e-01],
[ 9.67671128e-01, 4.39702976e-01, 3.59810172e-01],
[ 9.69680441e-01, 4.46935635e-01, 3.60311120e-01],
[ 9.71582181e-01, 4.54210170e-01, 3.61030156e-01],
[ 9.73381238e-01, 4.61520484e-01, 3.61964652e-01],
[ 9.75082439e-01, 4.68860936e-01, 3.63111292e-01],
[ 9.76690494e-01, 4.76226350e-01, 3.64466162e-01],
[ 9.78209957e-01, 4.83612031e-01, 3.66024854e-01],
[ 9.79645181e-01, 4.91013764e-01, 3.67782559e-01],
[ 9.81000291e-01, 4.98427800e-01, 3.69734157e-01],
[ 9.82279159e-01, 5.05850848e-01, 3.71874301e-01],
[ 9.83485387e-01, 5.13280054e-01, 3.74197501e-01],
[ 9.84622298e-01, 5.20712972e-01, 3.76698186e-01],
[ 9.85692925e-01, 5.28147545e-01, 3.79370774e-01],
[ 9.86700017e-01, 5.35582070e-01, 3.82209724e-01],
[ 9.87646038e-01, 5.43015173e-01, 3.85209578e-01],
[ 9.88533173e-01, 5.50445778e-01, 3.88365009e-01],
[ 9.89363341e-01, 5.57873075e-01, 3.91670846e-01],
[ 9.90138201e-01, 5.65296495e-01, 3.95122099e-01],
[ 9.90871208e-01, 5.72706259e-01, 3.98713971e-01],
[ 9.91558165e-01, 5.80106828e-01, 4.02441058e-01],
[ 9.92195728e-01, 5.87501706e-01, 4.06298792e-01],
[ 9.92784669e-01, 5.94891088e-01, 4.10282976e-01],
[ 9.93325561e-01, 6.02275297e-01, 4.14389658e-01],
[ 9.93834412e-01, 6.09643540e-01, 4.18613221e-01],
[ 9.94308514e-01, 6.16998953e-01, 4.22949672e-01],
[ 9.94737698e-01, 6.24349657e-01, 4.27396771e-01],
[ 9.95121854e-01, 6.31696376e-01, 4.31951492e-01],
[ 9.95480469e-01, 6.39026596e-01, 4.36607159e-01],
[ 9.95809924e-01, 6.46343897e-01, 4.41360951e-01],
[ 9.96095703e-01, 6.53658756e-01, 4.46213021e-01],
[ 9.96341406e-01, 6.60969379e-01, 4.51160201e-01],
[ 9.96579803e-01, 6.68255621e-01, 4.56191814e-01],
[ 9.96774784e-01, 6.75541484e-01, 4.61314158e-01],
[ 9.96925427e-01, 6.82827953e-01, 4.66525689e-01],
[ 9.97077185e-01, 6.90087897e-01, 4.71811461e-01],
[ 9.97186253e-01, 6.97348991e-01, 4.77181727e-01],
[ 9.97253982e-01, 7.04610791e-01, 4.82634651e-01],
[ 9.97325180e-01, 7.11847714e-01, 4.88154375e-01],
[ 9.97350983e-01, 7.19089119e-01, 4.93754665e-01],
[ 9.97350583e-01, 7.26324415e-01, 4.99427972e-01],
[ 9.97341259e-01, 7.33544671e-01, 5.05166839e-01],
[ 9.97284689e-01, 7.40771893e-01, 5.10983331e-01],
[ 9.97228367e-01, 7.47980563e-01, 5.16859378e-01],
[ 9.97138480e-01, 7.55189852e-01, 5.22805996e-01],
[ 9.97019342e-01, 7.62397883e-01, 5.28820775e-01],
[ 9.96898254e-01, 7.69590975e-01, 5.34892341e-01],
[ 9.96726862e-01, 7.76794860e-01, 5.41038571e-01],
[ 9.96570645e-01, 7.83976508e-01, 5.47232992e-01],
[ 9.96369065e-01, 7.91167346e-01, 5.53498939e-01],
[ 9.96162309e-01, 7.98347709e-01, 5.59819643e-01],
[ 9.95932448e-01, 8.05527126e-01, 5.66201824e-01],
[ 9.95680107e-01, 8.12705773e-01, 5.72644795e-01],
[ 9.95423973e-01, 8.19875302e-01, 5.79140130e-01],
[ 9.95131288e-01, 8.27051773e-01, 5.85701463e-01],
[ 9.94851089e-01, 8.34212826e-01, 5.92307093e-01],
[ 9.94523666e-01, 8.41386618e-01, 5.98982818e-01],
[ 9.94221900e-01, 8.48540474e-01, 6.05695903e-01],
[ 9.93865767e-01, 8.55711038e-01, 6.12481798e-01],
[ 9.93545285e-01, 8.62858846e-01, 6.19299300e-01],
[ 9.93169558e-01, 8.70024467e-01, 6.26189463e-01],
[ 9.92830963e-01, 8.77168404e-01, 6.33109148e-01],
[ 9.92439881e-01, 8.84329694e-01, 6.40099465e-01],
[ 9.92089454e-01, 8.91469549e-01, 6.47116021e-01],
[ 9.91687744e-01, 8.98627050e-01, 6.54201544e-01],
[ 9.91331929e-01, 9.05762748e-01, 6.61308839e-01],
[ 9.90929685e-01, 9.12915010e-01, 6.68481201e-01],
[ 9.90569914e-01, 9.20048699e-01, 6.75674592e-01],
[ 9.90174637e-01, 9.27195612e-01, 6.82925602e-01],
[ 9.89814839e-01, 9.34328540e-01, 6.90198194e-01],
[ 9.89433736e-01, 9.41470354e-01, 6.97518628e-01],
[ 9.89077438e-01, 9.48604077e-01, 7.04862519e-01],
[ 9.88717064e-01, 9.55741520e-01, 7.12242232e-01],
[ 9.88367028e-01, 9.62878026e-01, 7.19648627e-01],
[ 9.88032885e-01, 9.70012413e-01, 7.27076773e-01],
[ 9.87690702e-01, 9.77154231e-01, 7.34536205e-01],
[ 9.87386827e-01, 9.84287561e-01, 7.42001547e-01],
[ 9.87052509e-01, 9.91437853e-01, 7.49504188e-01]];
if nargin < 1
cm_data = cm;
else
hsv=rgb2hsv(cm);
hsv(170:end,1)=hsv(170:end,1)+1; % hardcoded
cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m));
cm_data(cm_data(:,1)>1,1)=cm_data(cm_data(:,1)>1,1)-1;
cm_data=hsv2rgb(cm_data);
end
end

270
Dipolar-Gas-Simulator/+Helper/+Colormaps/plasma.m Normal file
View File

@ -0,0 +1,270 @@
function cm_data=plasma(m)
cm = [[ 5.03832136e-02, 2.98028976e-02, 5.27974883e-01],
[ 6.35363639e-02, 2.84259729e-02, 5.33123681e-01],
[ 7.53531234e-02, 2.72063728e-02, 5.38007001e-01],
[ 8.62217979e-02, 2.61253206e-02, 5.42657691e-01],
[ 9.63786097e-02, 2.51650976e-02, 5.47103487e-01],
[ 1.05979704e-01, 2.43092436e-02, 5.51367851e-01],
[ 1.15123641e-01, 2.35562500e-02, 5.55467728e-01],
[ 1.23902903e-01, 2.28781011e-02, 5.59423480e-01],
[ 1.32380720e-01, 2.22583774e-02, 5.63250116e-01],
[ 1.40603076e-01, 2.16866674e-02, 5.66959485e-01],
[ 1.48606527e-01, 2.11535876e-02, 5.70561711e-01],
[ 1.56420649e-01, 2.06507174e-02, 5.74065446e-01],
[ 1.64069722e-01, 2.01705326e-02, 5.77478074e-01],
[ 1.71573925e-01, 1.97063415e-02, 5.80805890e-01],
[ 1.78950212e-01, 1.92522243e-02, 5.84054243e-01],
[ 1.86212958e-01, 1.88029767e-02, 5.87227661e-01],
[ 1.93374449e-01, 1.83540593e-02, 5.90329954e-01],
[ 2.00445260e-01, 1.79015512e-02, 5.93364304e-01],
[ 2.07434551e-01, 1.74421086e-02, 5.96333341e-01],
[ 2.14350298e-01, 1.69729276e-02, 5.99239207e-01],
[ 2.21196750e-01, 1.64970484e-02, 6.02083323e-01],
[ 2.27982971e-01, 1.60071509e-02, 6.04867403e-01],
[ 2.34714537e-01, 1.55015065e-02, 6.07592438e-01],
[ 2.41396253e-01, 1.49791041e-02, 6.10259089e-01],
[ 2.48032377e-01, 1.44393586e-02, 6.12867743e-01],
[ 2.54626690e-01, 1.38820918e-02, 6.15418537e-01],
[ 2.61182562e-01, 1.33075156e-02, 6.17911385e-01],
[ 2.67702993e-01, 1.27162163e-02, 6.20345997e-01],
[ 2.74190665e-01, 1.21091423e-02, 6.22721903e-01],
[ 2.80647969e-01, 1.14875915e-02, 6.25038468e-01],
[ 2.87076059e-01, 1.08554862e-02, 6.27294975e-01],
[ 2.93477695e-01, 1.02128849e-02, 6.29490490e-01],
[ 2.99855122e-01, 9.56079551e-03, 6.31623923e-01],
[ 3.06209825e-01, 8.90185346e-03, 6.33694102e-01],
[ 3.12543124e-01, 8.23900704e-03, 6.35699759e-01],
[ 3.18856183e-01, 7.57551051e-03, 6.37639537e-01],
[ 3.25150025e-01, 6.91491734e-03, 6.39512001e-01],
[ 3.31425547e-01, 6.26107379e-03, 6.41315649e-01],
[ 3.37683446e-01, 5.61830889e-03, 6.43048936e-01],
[ 3.43924591e-01, 4.99053080e-03, 6.44710195e-01],
[ 3.50149699e-01, 4.38202557e-03, 6.46297711e-01],
[ 3.56359209e-01, 3.79781761e-03, 6.47809772e-01],
[ 3.62553473e-01, 3.24319591e-03, 6.49244641e-01],
[ 3.68732762e-01, 2.72370721e-03, 6.50600561e-01],
[ 3.74897270e-01, 2.24514897e-03, 6.51875762e-01],
[ 3.81047116e-01, 1.81356205e-03, 6.53068467e-01],
[ 3.87182639e-01, 1.43446923e-03, 6.54176761e-01],
[ 3.93304010e-01, 1.11388259e-03, 6.55198755e-01],
[ 3.99410821e-01, 8.59420809e-04, 6.56132835e-01],
[ 4.05502914e-01, 6.78091517e-04, 6.56977276e-01],
[ 4.11580082e-01, 5.77101735e-04, 6.57730380e-01],
[ 4.17642063e-01, 5.63847476e-04, 6.58390492e-01],
[ 4.23688549e-01, 6.45902780e-04, 6.58956004e-01],
[ 4.29719186e-01, 8.31008207e-04, 6.59425363e-01],
[ 4.35733575e-01, 1.12705875e-03, 6.59797077e-01],
[ 4.41732123e-01, 1.53984779e-03, 6.60069009e-01],
[ 4.47713600e-01, 2.07954744e-03, 6.60240367e-01],
[ 4.53677394e-01, 2.75470302e-03, 6.60309966e-01],
[ 4.59622938e-01, 3.57374415e-03, 6.60276655e-01],
[ 4.65549631e-01, 4.54518084e-03, 6.60139383e-01],
[ 4.71456847e-01, 5.67758762e-03, 6.59897210e-01],
[ 4.77343929e-01, 6.97958743e-03, 6.59549311e-01],
[ 4.83210198e-01, 8.45983494e-03, 6.59094989e-01],
[ 4.89054951e-01, 1.01269996e-02, 6.58533677e-01],
[ 4.94877466e-01, 1.19897486e-02, 6.57864946e-01],
[ 5.00677687e-01, 1.40550640e-02, 6.57087561e-01],
[ 5.06454143e-01, 1.63333443e-02, 6.56202294e-01],
[ 5.12206035e-01, 1.88332232e-02, 6.55209222e-01],
[ 5.17932580e-01, 2.15631918e-02, 6.54108545e-01],
[ 5.23632990e-01, 2.45316468e-02, 6.52900629e-01],
[ 5.29306474e-01, 2.77468735e-02, 6.51586010e-01],
[ 5.34952244e-01, 3.12170300e-02, 6.50165396e-01],
[ 5.40569510e-01, 3.49501310e-02, 6.48639668e-01],
[ 5.46157494e-01, 3.89540334e-02, 6.47009884e-01],
[ 5.51715423e-01, 4.31364795e-02, 6.45277275e-01],
[ 5.57242538e-01, 4.73307585e-02, 6.43443250e-01],
[ 5.62738096e-01, 5.15448092e-02, 6.41509389e-01],
[ 5.68201372e-01, 5.57776706e-02, 6.39477440e-01],
[ 5.73631859e-01, 6.00281369e-02, 6.37348841e-01],
[ 5.79028682e-01, 6.42955547e-02, 6.35126108e-01],
[ 5.84391137e-01, 6.85790261e-02, 6.32811608e-01],
[ 5.89718606e-01, 7.28775875e-02, 6.30407727e-01],
[ 5.95010505e-01, 7.71902878e-02, 6.27916992e-01],
[ 6.00266283e-01, 8.15161895e-02, 6.25342058e-01],
[ 6.05485428e-01, 8.58543713e-02, 6.22685703e-01],
[ 6.10667469e-01, 9.02039303e-02, 6.19950811e-01],
[ 6.15811974e-01, 9.45639838e-02, 6.17140367e-01],
[ 6.20918555e-01, 9.89336721e-02, 6.14257440e-01],
[ 6.25986869e-01, 1.03312160e-01, 6.11305174e-01],
[ 6.31016615e-01, 1.07698641e-01, 6.08286774e-01],
[ 6.36007543e-01, 1.12092335e-01, 6.05205491e-01],
[ 6.40959444e-01, 1.16492495e-01, 6.02064611e-01],
[ 6.45872158e-01, 1.20898405e-01, 5.98867442e-01],
[ 6.50745571e-01, 1.25309384e-01, 5.95617300e-01],
[ 6.55579615e-01, 1.29724785e-01, 5.92317494e-01],
[ 6.60374266e-01, 1.34143997e-01, 5.88971318e-01],
[ 6.65129493e-01, 1.38566428e-01, 5.85582301e-01],
[ 6.69845385e-01, 1.42991540e-01, 5.82153572e-01],
[ 6.74522060e-01, 1.47418835e-01, 5.78688247e-01],
[ 6.79159664e-01, 1.51847851e-01, 5.75189431e-01],
[ 6.83758384e-01, 1.56278163e-01, 5.71660158e-01],
[ 6.88318440e-01, 1.60709387e-01, 5.68103380e-01],
[ 6.92840088e-01, 1.65141174e-01, 5.64521958e-01],
[ 6.97323615e-01, 1.69573215e-01, 5.60918659e-01],
[ 7.01769334e-01, 1.74005236e-01, 5.57296144e-01],
[ 7.06177590e-01, 1.78437000e-01, 5.53656970e-01],
[ 7.10548747e-01, 1.82868306e-01, 5.50003579e-01],
[ 7.14883195e-01, 1.87298986e-01, 5.46338299e-01],
[ 7.19181339e-01, 1.91728906e-01, 5.42663338e-01],
[ 7.23443604e-01, 1.96157962e-01, 5.38980786e-01],
[ 7.27670428e-01, 2.00586086e-01, 5.35292612e-01],
[ 7.31862231e-01, 2.05013174e-01, 5.31600995e-01],
[ 7.36019424e-01, 2.09439071e-01, 5.27908434e-01],
[ 7.40142557e-01, 2.13863965e-01, 5.24215533e-01],
[ 7.44232102e-01, 2.18287899e-01, 5.20523766e-01],
[ 7.48288533e-01, 2.22710942e-01, 5.16834495e-01],
[ 7.52312321e-01, 2.27133187e-01, 5.13148963e-01],
[ 7.56303937e-01, 2.31554749e-01, 5.09468305e-01],
[ 7.60263849e-01, 2.35975765e-01, 5.05793543e-01],
[ 7.64192516e-01, 2.40396394e-01, 5.02125599e-01],
[ 7.68090391e-01, 2.44816813e-01, 4.98465290e-01],
[ 7.71957916e-01, 2.49237220e-01, 4.94813338e-01],
[ 7.75795522e-01, 2.53657797e-01, 4.91170517e-01],
[ 7.79603614e-01, 2.58078397e-01, 4.87539124e-01],
[ 7.83382636e-01, 2.62499662e-01, 4.83917732e-01],
[ 7.87132978e-01, 2.66921859e-01, 4.80306702e-01],
[ 7.90855015e-01, 2.71345267e-01, 4.76706319e-01],
[ 7.94549101e-01, 2.75770179e-01, 4.73116798e-01],
[ 7.98215577e-01, 2.80196901e-01, 4.69538286e-01],
[ 8.01854758e-01, 2.84625750e-01, 4.65970871e-01],
[ 8.05466945e-01, 2.89057057e-01, 4.62414580e-01],
[ 8.09052419e-01, 2.93491117e-01, 4.58869577e-01],
[ 8.12611506e-01, 2.97927865e-01, 4.55337565e-01],
[ 8.16144382e-01, 3.02368130e-01, 4.51816385e-01],
[ 8.19651255e-01, 3.06812282e-01, 4.48305861e-01],
[ 8.23132309e-01, 3.11260703e-01, 4.44805781e-01],
[ 8.26587706e-01, 3.15713782e-01, 4.41315901e-01],
[ 8.30017584e-01, 3.20171913e-01, 4.37835947e-01],
[ 8.33422053e-01, 3.24635499e-01, 4.34365616e-01],
[ 8.36801237e-01, 3.29104836e-01, 4.30905052e-01],
[ 8.40155276e-01, 3.33580106e-01, 4.27454836e-01],
[ 8.43484103e-01, 3.38062109e-01, 4.24013059e-01],
[ 8.46787726e-01, 3.42551272e-01, 4.20579333e-01],
[ 8.50066132e-01, 3.47048028e-01, 4.17153264e-01],
[ 8.53319279e-01, 3.51552815e-01, 4.13734445e-01],
[ 8.56547103e-01, 3.56066072e-01, 4.10322469e-01],
[ 8.59749520e-01, 3.60588229e-01, 4.06916975e-01],
[ 8.62926559e-01, 3.65119408e-01, 4.03518809e-01],
[ 8.66077920e-01, 3.69660446e-01, 4.00126027e-01],
[ 8.69203436e-01, 3.74211795e-01, 3.96738211e-01],
[ 8.72302917e-01, 3.78773910e-01, 3.93354947e-01],
[ 8.75376149e-01, 3.83347243e-01, 3.89975832e-01],
[ 8.78422895e-01, 3.87932249e-01, 3.86600468e-01],
[ 8.81442916e-01, 3.92529339e-01, 3.83228622e-01],
[ 8.84435982e-01, 3.97138877e-01, 3.79860246e-01],
[ 8.87401682e-01, 4.01761511e-01, 3.76494232e-01],
[ 8.90339687e-01, 4.06397694e-01, 3.73130228e-01],
[ 8.93249647e-01, 4.11047871e-01, 3.69767893e-01],
[ 8.96131191e-01, 4.15712489e-01, 3.66406907e-01],
[ 8.98983931e-01, 4.20391986e-01, 3.63046965e-01],
[ 9.01807455e-01, 4.25086807e-01, 3.59687758e-01],
[ 9.04601295e-01, 4.29797442e-01, 3.56328796e-01],
[ 9.07364995e-01, 4.34524335e-01, 3.52969777e-01],
[ 9.10098088e-01, 4.39267908e-01, 3.49610469e-01],
[ 9.12800095e-01, 4.44028574e-01, 3.46250656e-01],
[ 9.15470518e-01, 4.48806744e-01, 3.42890148e-01],
[ 9.18108848e-01, 4.53602818e-01, 3.39528771e-01],
[ 9.20714383e-01, 4.58417420e-01, 3.36165582e-01],
[ 9.23286660e-01, 4.63250828e-01, 3.32800827e-01],
[ 9.25825146e-01, 4.68103387e-01, 3.29434512e-01],
[ 9.28329275e-01, 4.72975465e-01, 3.26066550e-01],
[ 9.30798469e-01, 4.77867420e-01, 3.22696876e-01],
[ 9.33232140e-01, 4.82779603e-01, 3.19325444e-01],
[ 9.35629684e-01, 4.87712357e-01, 3.15952211e-01],
[ 9.37990034e-01, 4.92666544e-01, 3.12575440e-01],
[ 9.40312939e-01, 4.97642038e-01, 3.09196628e-01],
[ 9.42597771e-01, 5.02639147e-01, 3.05815824e-01],
[ 9.44843893e-01, 5.07658169e-01, 3.02433101e-01],
[ 9.47050662e-01, 5.12699390e-01, 2.99048555e-01],
[ 9.49217427e-01, 5.17763087e-01, 2.95662308e-01],
[ 9.51343530e-01, 5.22849522e-01, 2.92274506e-01],
[ 9.53427725e-01, 5.27959550e-01, 2.88883445e-01],
[ 9.55469640e-01, 5.33093083e-01, 2.85490391e-01],
[ 9.57468770e-01, 5.38250172e-01, 2.82096149e-01],
[ 9.59424430e-01, 5.43431038e-01, 2.78700990e-01],
[ 9.61335930e-01, 5.48635890e-01, 2.75305214e-01],
[ 9.63202573e-01, 5.53864931e-01, 2.71909159e-01],
[ 9.65023656e-01, 5.59118349e-01, 2.68513200e-01],
[ 9.66798470e-01, 5.64396327e-01, 2.65117752e-01],
[ 9.68525639e-01, 5.69699633e-01, 2.61721488e-01],
[ 9.70204593e-01, 5.75028270e-01, 2.58325424e-01],
[ 9.71835007e-01, 5.80382015e-01, 2.54931256e-01],
[ 9.73416145e-01, 5.85761012e-01, 2.51539615e-01],
[ 9.74947262e-01, 5.91165394e-01, 2.48151200e-01],
[ 9.76427606e-01, 5.96595287e-01, 2.44766775e-01],
[ 9.77856416e-01, 6.02050811e-01, 2.41387186e-01],
[ 9.79232922e-01, 6.07532077e-01, 2.38013359e-01],
[ 9.80556344e-01, 6.13039190e-01, 2.34646316e-01],
[ 9.81825890e-01, 6.18572250e-01, 2.31287178e-01],
[ 9.83040742e-01, 6.24131362e-01, 2.27937141e-01],
[ 9.84198924e-01, 6.29717516e-01, 2.24595006e-01],
[ 9.85300760e-01, 6.35329876e-01, 2.21264889e-01],
[ 9.86345421e-01, 6.40968508e-01, 2.17948456e-01],
[ 9.87332067e-01, 6.46633475e-01, 2.14647532e-01],
[ 9.88259846e-01, 6.52324832e-01, 2.11364122e-01],
[ 9.89127893e-01, 6.58042630e-01, 2.08100426e-01],
[ 9.89935328e-01, 6.63786914e-01, 2.04858855e-01],
[ 9.90681261e-01, 6.69557720e-01, 2.01642049e-01],
[ 9.91364787e-01, 6.75355082e-01, 1.98452900e-01],
[ 9.91984990e-01, 6.81179025e-01, 1.95294567e-01],
[ 9.92540939e-01, 6.87029567e-01, 1.92170500e-01],
[ 9.93031693e-01, 6.92906719e-01, 1.89084459e-01],
[ 9.93456302e-01, 6.98810484e-01, 1.86040537e-01],
[ 9.93813802e-01, 7.04740854e-01, 1.83043180e-01],
[ 9.94103226e-01, 7.10697814e-01, 1.80097207e-01],
[ 9.94323596e-01, 7.16681336e-01, 1.77207826e-01],
[ 9.94473934e-01, 7.22691379e-01, 1.74380656e-01],
[ 9.94553260e-01, 7.28727890e-01, 1.71621733e-01],
[ 9.94560594e-01, 7.34790799e-01, 1.68937522e-01],
[ 9.94494964e-01, 7.40880020e-01, 1.66334918e-01],
[ 9.94355411e-01, 7.46995448e-01, 1.63821243e-01],
[ 9.94140989e-01, 7.53136955e-01, 1.61404226e-01],
[ 9.93850778e-01, 7.59304390e-01, 1.59091984e-01],
[ 9.93482190e-01, 7.65498551e-01, 1.56890625e-01],
[ 9.93033251e-01, 7.71719833e-01, 1.54807583e-01],
[ 9.92505214e-01, 7.77966775e-01, 1.52854862e-01],
[ 9.91897270e-01, 7.84239120e-01, 1.51041581e-01],
[ 9.91208680e-01, 7.90536569e-01, 1.49376885e-01],
[ 9.90438793e-01, 7.96858775e-01, 1.47869810e-01],
[ 9.89587065e-01, 8.03205337e-01, 1.46529128e-01],
[ 9.88647741e-01, 8.09578605e-01, 1.45357284e-01],
[ 9.87620557e-01, 8.15977942e-01, 1.44362644e-01],
[ 9.86509366e-01, 8.22400620e-01, 1.43556679e-01],
[ 9.85314198e-01, 8.28845980e-01, 1.42945116e-01],
[ 9.84031139e-01, 8.35315360e-01, 1.42528388e-01],
[ 9.82652820e-01, 8.41811730e-01, 1.42302653e-01],
[ 9.81190389e-01, 8.48328902e-01, 1.42278607e-01],
[ 9.79643637e-01, 8.54866468e-01, 1.42453425e-01],
[ 9.77994918e-01, 8.61432314e-01, 1.42808191e-01],
[ 9.76264977e-01, 8.68015998e-01, 1.43350944e-01],
[ 9.74443038e-01, 8.74622194e-01, 1.44061156e-01],
[ 9.72530009e-01, 8.81250063e-01, 1.44922913e-01],
[ 9.70532932e-01, 8.87896125e-01, 1.45918663e-01],
[ 9.68443477e-01, 8.94563989e-01, 1.47014438e-01],
[ 9.66271225e-01, 9.01249365e-01, 1.48179639e-01],
[ 9.64021057e-01, 9.07950379e-01, 1.49370428e-01],
[ 9.61681481e-01, 9.14672479e-01, 1.50520343e-01],
[ 9.59275646e-01, 9.21406537e-01, 1.51566019e-01],
[ 9.56808068e-01, 9.28152065e-01, 1.52409489e-01],
[ 9.54286813e-01, 9.34907730e-01, 1.52921158e-01],
[ 9.51726083e-01, 9.41670605e-01, 1.52925363e-01],
[ 9.49150533e-01, 9.48434900e-01, 1.52177604e-01],
[ 9.46602270e-01, 9.55189860e-01, 1.50327944e-01],
[ 9.44151742e-01, 9.61916487e-01, 1.46860789e-01],
[ 9.41896120e-01, 9.68589814e-01, 1.40955606e-01],
[ 9.40015097e-01, 9.75158357e-01, 1.31325517e-01]];
if nargin < 1
cm_data = cm;
else
hsv=rgb2hsv(cm);
hsv(153:end,1)=hsv(153:end,1)+1; % hardcoded
cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m));
cm_data(cm_data(:,1)>1,1)=cm_data(cm_data(:,1)>1,1)-1;
cm_data=hsv2rgb(cm_data);
end
end

267
Dipolar-Gas-Simulator/+Helper/+Colormaps/viridis.m Normal file
View File

@ -0,0 +1,267 @@
function cm_data=viridis(m)
cm = [[ 0.26700401, 0.00487433, 0.32941519],
[ 0.26851048, 0.00960483, 0.33542652],
[ 0.26994384, 0.01462494, 0.34137895],
[ 0.27130489, 0.01994186, 0.34726862],
[ 0.27259384, 0.02556309, 0.35309303],
[ 0.27380934, 0.03149748, 0.35885256],
[ 0.27495242, 0.03775181, 0.36454323],
[ 0.27602238, 0.04416723, 0.37016418],
[ 0.2770184 , 0.05034437, 0.37571452],
[ 0.27794143, 0.05632444, 0.38119074],
[ 0.27879067, 0.06214536, 0.38659204],
[ 0.2795655 , 0.06783587, 0.39191723],
[ 0.28026658, 0.07341724, 0.39716349],
[ 0.28089358, 0.07890703, 0.40232944],
[ 0.28144581, 0.0843197 , 0.40741404],
[ 0.28192358, 0.08966622, 0.41241521],
[ 0.28232739, 0.09495545, 0.41733086],
[ 0.28265633, 0.10019576, 0.42216032],
[ 0.28291049, 0.10539345, 0.42690202],
[ 0.28309095, 0.11055307, 0.43155375],
[ 0.28319704, 0.11567966, 0.43611482],
[ 0.28322882, 0.12077701, 0.44058404],
[ 0.28318684, 0.12584799, 0.44496 ],
[ 0.283072 , 0.13089477, 0.44924127],
[ 0.28288389, 0.13592005, 0.45342734],
[ 0.28262297, 0.14092556, 0.45751726],
[ 0.28229037, 0.14591233, 0.46150995],
[ 0.28188676, 0.15088147, 0.46540474],
[ 0.28141228, 0.15583425, 0.46920128],
[ 0.28086773, 0.16077132, 0.47289909],
[ 0.28025468, 0.16569272, 0.47649762],
[ 0.27957399, 0.17059884, 0.47999675],
[ 0.27882618, 0.1754902 , 0.48339654],
[ 0.27801236, 0.18036684, 0.48669702],
[ 0.27713437, 0.18522836, 0.48989831],
[ 0.27619376, 0.19007447, 0.49300074],
[ 0.27519116, 0.1949054 , 0.49600488],
[ 0.27412802, 0.19972086, 0.49891131],
[ 0.27300596, 0.20452049, 0.50172076],
[ 0.27182812, 0.20930306, 0.50443413],
[ 0.27059473, 0.21406899, 0.50705243],
[ 0.26930756, 0.21881782, 0.50957678],
[ 0.26796846, 0.22354911, 0.5120084 ],
[ 0.26657984, 0.2282621 , 0.5143487 ],
[ 0.2651445 , 0.23295593, 0.5165993 ],
[ 0.2636632 , 0.23763078, 0.51876163],
[ 0.26213801, 0.24228619, 0.52083736],
[ 0.26057103, 0.2469217 , 0.52282822],
[ 0.25896451, 0.25153685, 0.52473609],
[ 0.25732244, 0.2561304 , 0.52656332],
[ 0.25564519, 0.26070284, 0.52831152],
[ 0.25393498, 0.26525384, 0.52998273],
[ 0.25219404, 0.26978306, 0.53157905],
[ 0.25042462, 0.27429024, 0.53310261],
[ 0.24862899, 0.27877509, 0.53455561],
[ 0.2468114 , 0.28323662, 0.53594093],
[ 0.24497208, 0.28767547, 0.53726018],
[ 0.24311324, 0.29209154, 0.53851561],
[ 0.24123708, 0.29648471, 0.53970946],
[ 0.23934575, 0.30085494, 0.54084398],
[ 0.23744138, 0.30520222, 0.5419214 ],
[ 0.23552606, 0.30952657, 0.54294396],
[ 0.23360277, 0.31382773, 0.54391424],
[ 0.2316735 , 0.3181058 , 0.54483444],
[ 0.22973926, 0.32236127, 0.54570633],
[ 0.22780192, 0.32659432, 0.546532 ],
[ 0.2258633 , 0.33080515, 0.54731353],
[ 0.22392515, 0.334994 , 0.54805291],
[ 0.22198915, 0.33916114, 0.54875211],
[ 0.22005691, 0.34330688, 0.54941304],
[ 0.21812995, 0.34743154, 0.55003755],
[ 0.21620971, 0.35153548, 0.55062743],
[ 0.21429757, 0.35561907, 0.5511844 ],
[ 0.21239477, 0.35968273, 0.55171011],
[ 0.2105031 , 0.36372671, 0.55220646],
[ 0.20862342, 0.36775151, 0.55267486],
[ 0.20675628, 0.37175775, 0.55311653],
[ 0.20490257, 0.37574589, 0.55353282],
[ 0.20306309, 0.37971644, 0.55392505],
[ 0.20123854, 0.38366989, 0.55429441],
[ 0.1994295 , 0.38760678, 0.55464205],
[ 0.1976365 , 0.39152762, 0.55496905],
[ 0.19585993, 0.39543297, 0.55527637],
[ 0.19410009, 0.39932336, 0.55556494],
[ 0.19235719, 0.40319934, 0.55583559],
[ 0.19063135, 0.40706148, 0.55608907],
[ 0.18892259, 0.41091033, 0.55632606],
[ 0.18723083, 0.41474645, 0.55654717],
[ 0.18555593, 0.4185704 , 0.55675292],
[ 0.18389763, 0.42238275, 0.55694377],
[ 0.18225561, 0.42618405, 0.5571201 ],
[ 0.18062949, 0.42997486, 0.55728221],
[ 0.17901879, 0.43375572, 0.55743035],
[ 0.17742298, 0.4375272 , 0.55756466],
[ 0.17584148, 0.44128981, 0.55768526],
[ 0.17427363, 0.4450441 , 0.55779216],
[ 0.17271876, 0.4487906 , 0.55788532],
[ 0.17117615, 0.4525298 , 0.55796464],
[ 0.16964573, 0.45626209, 0.55803034],
[ 0.16812641, 0.45998802, 0.55808199],
[ 0.1666171 , 0.46370813, 0.55811913],
[ 0.16511703, 0.4674229 , 0.55814141],
[ 0.16362543, 0.47113278, 0.55814842],
[ 0.16214155, 0.47483821, 0.55813967],
[ 0.16066467, 0.47853961, 0.55811466],
[ 0.15919413, 0.4822374 , 0.5580728 ],
[ 0.15772933, 0.48593197, 0.55801347],
[ 0.15626973, 0.4896237 , 0.557936 ],
[ 0.15481488, 0.49331293, 0.55783967],
[ 0.15336445, 0.49700003, 0.55772371],
[ 0.1519182 , 0.50068529, 0.55758733],
[ 0.15047605, 0.50436904, 0.55742968],
[ 0.14903918, 0.50805136, 0.5572505 ],
[ 0.14760731, 0.51173263, 0.55704861],
[ 0.14618026, 0.51541316, 0.55682271],
[ 0.14475863, 0.51909319, 0.55657181],
[ 0.14334327, 0.52277292, 0.55629491],
[ 0.14193527, 0.52645254, 0.55599097],
[ 0.14053599, 0.53013219, 0.55565893],
[ 0.13914708, 0.53381201, 0.55529773],
[ 0.13777048, 0.53749213, 0.55490625],
[ 0.1364085 , 0.54117264, 0.55448339],
[ 0.13506561, 0.54485335, 0.55402906],
[ 0.13374299, 0.54853458, 0.55354108],
[ 0.13244401, 0.55221637, 0.55301828],
[ 0.13117249, 0.55589872, 0.55245948],
[ 0.1299327 , 0.55958162, 0.55186354],
[ 0.12872938, 0.56326503, 0.55122927],
[ 0.12756771, 0.56694891, 0.55055551],
[ 0.12645338, 0.57063316, 0.5498411 ],
[ 0.12539383, 0.57431754, 0.54908564],
[ 0.12439474, 0.57800205, 0.5482874 ],
[ 0.12346281, 0.58168661, 0.54744498],
[ 0.12260562, 0.58537105, 0.54655722],
[ 0.12183122, 0.58905521, 0.54562298],
[ 0.12114807, 0.59273889, 0.54464114],
[ 0.12056501, 0.59642187, 0.54361058],
[ 0.12009154, 0.60010387, 0.54253043],
[ 0.11973756, 0.60378459, 0.54139999],
[ 0.11951163, 0.60746388, 0.54021751],
[ 0.11942341, 0.61114146, 0.53898192],
[ 0.11948255, 0.61481702, 0.53769219],
[ 0.11969858, 0.61849025, 0.53634733],
[ 0.12008079, 0.62216081, 0.53494633],
[ 0.12063824, 0.62582833, 0.53348834],
[ 0.12137972, 0.62949242, 0.53197275],
[ 0.12231244, 0.63315277, 0.53039808],
[ 0.12344358, 0.63680899, 0.52876343],
[ 0.12477953, 0.64046069, 0.52706792],
[ 0.12632581, 0.64410744, 0.52531069],
[ 0.12808703, 0.64774881, 0.52349092],
[ 0.13006688, 0.65138436, 0.52160791],
[ 0.13226797, 0.65501363, 0.51966086],
[ 0.13469183, 0.65863619, 0.5176488 ],
[ 0.13733921, 0.66225157, 0.51557101],
[ 0.14020991, 0.66585927, 0.5134268 ],
[ 0.14330291, 0.66945881, 0.51121549],
[ 0.1466164 , 0.67304968, 0.50893644],
[ 0.15014782, 0.67663139, 0.5065889 ],
[ 0.15389405, 0.68020343, 0.50417217],
[ 0.15785146, 0.68376525, 0.50168574],
[ 0.16201598, 0.68731632, 0.49912906],
[ 0.1663832 , 0.69085611, 0.49650163],
[ 0.1709484 , 0.69438405, 0.49380294],
[ 0.17570671, 0.6978996 , 0.49103252],
[ 0.18065314, 0.70140222, 0.48818938],
[ 0.18578266, 0.70489133, 0.48527326],
[ 0.19109018, 0.70836635, 0.48228395],
[ 0.19657063, 0.71182668, 0.47922108],
[ 0.20221902, 0.71527175, 0.47608431],
[ 0.20803045, 0.71870095, 0.4728733 ],
[ 0.21400015, 0.72211371, 0.46958774],
[ 0.22012381, 0.72550945, 0.46622638],
[ 0.2263969 , 0.72888753, 0.46278934],
[ 0.23281498, 0.73224735, 0.45927675],
[ 0.2393739 , 0.73558828, 0.45568838],
[ 0.24606968, 0.73890972, 0.45202405],
[ 0.25289851, 0.74221104, 0.44828355],
[ 0.25985676, 0.74549162, 0.44446673],
[ 0.26694127, 0.74875084, 0.44057284],
[ 0.27414922, 0.75198807, 0.4366009 ],
[ 0.28147681, 0.75520266, 0.43255207],
[ 0.28892102, 0.75839399, 0.42842626],
[ 0.29647899, 0.76156142, 0.42422341],
[ 0.30414796, 0.76470433, 0.41994346],
[ 0.31192534, 0.76782207, 0.41558638],
[ 0.3198086 , 0.77091403, 0.41115215],
[ 0.3277958 , 0.77397953, 0.40664011],
[ 0.33588539, 0.7770179 , 0.40204917],
[ 0.34407411, 0.78002855, 0.39738103],
[ 0.35235985, 0.78301086, 0.39263579],
[ 0.36074053, 0.78596419, 0.38781353],
[ 0.3692142 , 0.78888793, 0.38291438],
[ 0.37777892, 0.79178146, 0.3779385 ],
[ 0.38643282, 0.79464415, 0.37288606],
[ 0.39517408, 0.79747541, 0.36775726],
[ 0.40400101, 0.80027461, 0.36255223],
[ 0.4129135 , 0.80304099, 0.35726893],
[ 0.42190813, 0.80577412, 0.35191009],
[ 0.43098317, 0.80847343, 0.34647607],
[ 0.44013691, 0.81113836, 0.3409673 ],
[ 0.44936763, 0.81376835, 0.33538426],
[ 0.45867362, 0.81636288, 0.32972749],
[ 0.46805314, 0.81892143, 0.32399761],
[ 0.47750446, 0.82144351, 0.31819529],
[ 0.4870258 , 0.82392862, 0.31232133],
[ 0.49661536, 0.82637633, 0.30637661],
[ 0.5062713 , 0.82878621, 0.30036211],
[ 0.51599182, 0.83115784, 0.29427888],
[ 0.52577622, 0.83349064, 0.2881265 ],
[ 0.5356211 , 0.83578452, 0.28190832],
[ 0.5455244 , 0.83803918, 0.27562602],
[ 0.55548397, 0.84025437, 0.26928147],
[ 0.5654976 , 0.8424299 , 0.26287683],
[ 0.57556297, 0.84456561, 0.25641457],
[ 0.58567772, 0.84666139, 0.24989748],
[ 0.59583934, 0.84871722, 0.24332878],
[ 0.60604528, 0.8507331 , 0.23671214],
[ 0.61629283, 0.85270912, 0.23005179],
[ 0.62657923, 0.85464543, 0.22335258],
[ 0.63690157, 0.85654226, 0.21662012],
[ 0.64725685, 0.85839991, 0.20986086],
[ 0.65764197, 0.86021878, 0.20308229],
[ 0.66805369, 0.86199932, 0.19629307],
[ 0.67848868, 0.86374211, 0.18950326],
[ 0.68894351, 0.86544779, 0.18272455],
[ 0.69941463, 0.86711711, 0.17597055],
[ 0.70989842, 0.86875092, 0.16925712],
[ 0.72039115, 0.87035015, 0.16260273],
[ 0.73088902, 0.87191584, 0.15602894],
[ 0.74138803, 0.87344918, 0.14956101],
[ 0.75188414, 0.87495143, 0.14322828],
[ 0.76237342, 0.87642392, 0.13706449],
[ 0.77285183, 0.87786808, 0.13110864],
[ 0.78331535, 0.87928545, 0.12540538],
[ 0.79375994, 0.88067763, 0.12000532],
[ 0.80418159, 0.88204632, 0.11496505],
[ 0.81457634, 0.88339329, 0.11034678],
[ 0.82494028, 0.88472036, 0.10621724],
[ 0.83526959, 0.88602943, 0.1026459 ],
[ 0.84556056, 0.88732243, 0.09970219],
[ 0.8558096 , 0.88860134, 0.09745186],
[ 0.86601325, 0.88986815, 0.09595277],
[ 0.87616824, 0.89112487, 0.09525046],
[ 0.88627146, 0.89237353, 0.09537439],
[ 0.89632002, 0.89361614, 0.09633538],
[ 0.90631121, 0.89485467, 0.09812496],
[ 0.91624212, 0.89609127, 0.1007168 ],
[ 0.92610579, 0.89732977, 0.10407067],
[ 0.93590444, 0.8985704 , 0.10813094],
[ 0.94563626, 0.899815 , 0.11283773],
[ 0.95529972, 0.90106534, 0.11812832],
[ 0.96489353, 0.90232311, 0.12394051],
[ 0.97441665, 0.90358991, 0.13021494],
[ 0.98386829, 0.90486726, 0.13689671],
[ 0.99324789, 0.90615657, 0.1439362 ]];
if nargin < 1
cm_data = cm;
else
hsv=rgb2hsv(cm);
cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m));
cm_data=hsv2rgb(cm_data);
end
end

2
Dipolar-Gas-Simulator/+Plotter/plotLive2D.m
View File

@ -26,7 +26,7 @@ function plotLive2D(psi, Params, Transf, Observ, vrun)
cbar1 = colorbar;
cbar1.Label.Interpreter = 'latex';
% cbar1.Ticks = []; % Disable the ticks
colormap(gca, 'parula')
colormap(gca, Helper.Colormaps.plasma())
% clim(ax1,[0.00,0.3]);
ylabel(cbar1,'$na_{dd}^2$','FontSize',16,'Rotation',270)
xlabel('$x$ ($\mu$m)', 'Interpreter', 'latex', 'FontSize', 14)

2
Dipolar-Gas-Simulator/+Plotter/visualizeGSWavefunction2D.m
View File

@ -45,7 +45,7 @@ function visualizeGSWavefunction2D(folder_path, run_index)
set(plotxy, 'EdgeColor', 'none');
cbar1 = colorbar;
cbar1.Label.Interpreter = 'latex';
colormap(gca, 'parula')
colormap(gca, Helper.Colormaps.plasma())
% clim(ax1,[0.00,0.3]);
ylabel(cbar1,'$na_{dd}^2$','FontSize',16,'Rotation',270)
xlabel('$x$ ($\mu$m)', 'Interpreter', 'latex', 'FontSize', 14)

103
Dipolar-Gas-Simulator/+Scripts/analyzeGSWavefunction.m
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@ -56,33 +56,7 @@ function [contrast, periodX, periodY] = analyzeGSWavefunction(folder_path, run_i
%------------------ Lattice Properties ------------------ %
% Apply 2D Fourier Transform
fftResult = fft2(double(nxyScaled));
fftMagnitude = abs(fftshift(fftResult)); % Shift zero frequency to center
% Get the size of the image
[Ny, Nx] = size(nxyScaled);
% Set the DC component to zero (ignore it)
fftMagnitude(Ny/2 + 1, Nx/2 + 1) = 0; % Assuming fftshift was used
% Calculate the sampling intervals (real-space distance)
dx = mean(diff(x)); % Sampling interval in the X direction
dy = mean(diff(y)); % Sampling interval in the Y direction
% Calculate wavenumber increment (frequency axes)
dkx = 1 / (Nx * dx); % Increment in the X direction (in micrometers^-1)
dky = 1 / (Ny * dy); % Increment in the Y direction (in micrometers^-1)
% Create the wavenumber axes
kx = (-Nx/2:Nx/2-1) * dkx; % Wavenumber axis in X (micrometers^-1)
ky = (-Ny/2:Ny/2-1) * dky; % Wavenumber axis in Y (micrometers^-1)
[G1, G2, reciprocalAngle, periodX, periodY] = extractLatticeProperties(fftMagnitude', kx, ky);
G1 = G1 * Params.l0;
G2 = G2 * Params.l0;
periodX = periodX/Params.l0;
periodY = periodY/Params.l0;
[kx, ky, fftMagnitude, lattice_type, periodX, periodY, freq_x, freq_y, rotation_angle] = Scripts.extractLatticeProperties(nxyScaled, x, y);
%------------------ Plotting ------------------ %
@ -96,89 +70,26 @@ function [contrast, periodX, periodY] = analyzeGSWavefunction(folder_path, run_i
set(plotxy, 'EdgeColor', 'none');
cbar1 = colorbar;
cbar1.Label.Interpreter = 'latex';
colormap(gca, 'parula')
colormap(gca, Helper.Colormaps.plasma())
% clim(ax1,[0.00,0.3]);
ylabel(cbar1,'$na_{dd}^2$','FontSize',16,'Rotation',270)
xlabel('$x$ ($\mu$m)', 'Interpreter', 'latex', 'FontSize', 14)
ylabel('$y$ ($\mu$m)', 'Interpreter', 'latex', 'FontSize', 14)
title(['$|\Psi(x,y)|^2$ - Contrast: ', num2str(contrast, '%.3f'), '; Period X = ', num2str(periodX, '%.2f'), '$ \mu$m', '; Period Y = ', num2str(periodY, '%.2f'), '$ \mu$m'], 'Interpreter', 'latex', 'FontSize', 14)
% Plot 2-D FFT
% Plot 2-D FFT with detected peaks
nexttile; % Equivalent to subplot('Position', [0.05, 0.55, 0.28, 0.4]);
plotxy = pcolor(kx*Params.l0,ky*Params.l0,fftMagnitude');
set(plotxy, 'EdgeColor', 'none');
imagesc(kx*Params.l0,ky*Params.l0, log(1 + fftMagnitude));
cbar1 = colorbar;
cbar1.Label.Interpreter = 'latex';
colormap(gca, 'parula')
% Overlay the reciprocal lattice vectors
colormap(gca, 'jet')
hold on;
quiver(0, 0, G1(1), G1(2), 0, 'r', 'LineWidth', 2, 'MaxHeadSize', 1); % G1 vector
quiver(0, 0, G2(1), G2(2), 0, 'b', 'LineWidth', 2, 'MaxHeadSize', 1); % G2 vector
% Display the angle between the vectors
angleDeg = rad2deg(reciprocalAngle); % Convert the angle to degrees
midX = (G1(1) + G2(1)) / 2;
midY = (G1(2) + G2(2)) / 2;
% Add the angle text annotation to the plot
text(midX, midY, sprintf('Angle = %.2f deg', angleDeg), 'Color', 'white', 'FontSize', 16, 'FontWeight', 'bold');
plot(freq_x*Params.l0, freq_y*Params.l0, 'ro', 'MarkerSize', 10, 'LineWidth', 2);
hold off;
xlabel('$k_x l_o$', 'Interpreter', 'latex', 'FontSize', 14)
ylabel('$k_y l_o$', 'Interpreter', 'latex', 'FontSize', 14)
title('$\mathcal{F}\{|\Psi(x,y)|^2\}$', 'Interpreter', 'latex', 'FontSize', 16);
end
function [G1, G2, reciprocalAngle, periodX, periodY] = extractLatticeProperties(fftMagnitude, kx, ky)
% Define the index ranges for the positive side (first quadrant)
posX = kx > 0; % Positive kx
posY = ky > 0; % Positive ky
% Restrict the FFT magnitude to only the positive quadrant (kx > 0, ky > 0)
fftMagnitudePos = fftMagnitude(posY, posX);
% Find peaks in the Fourier domain using findpeaks
[peaks, peakIdx] = findpeaks(fftMagnitudePos(:)); % Find all peaks in the positive quadrant
[~, sortIdx] = sort(peaks, 'descend'); % Sort peaks in descending order
% Select the two largest distinct peaks
peakIdx1 = peakIdx(sortIdx(1)); % Index of the largest peak
peakIdx2 = peakIdx(sortIdx(2)); % Index of the second largest peak
% Convert peak indices to subscripts in the original FFT size
[peakY1, peakX1] = ind2sub(size(fftMagnitudePos), peakIdx1);
[peakY2, peakX2] = ind2sub(size(fftMagnitudePos), peakIdx2);
% Convert these subscripts back to the full FFT index space
peakY1 = find(posY, 1, 'first') + peakY1 - 1;
peakX1 = find(posX, 1, 'first') + peakX1 - 1;
peakY2 = find(posY, 1, 'first') + peakY2 - 1;
peakX2 = find(posX, 1, 'first') + peakX2 - 1;
% Extract the wavenumbers corresponding to the peaks
kx1 = kx(peakX1); ky1 = ky(peakY1);
kx2 = kx(peakX2); ky2 = ky(peakY2);
% Reciprocal lattice vectors
G1 = [kx1, ky1]; % Reciprocal lattice vector 1
G2 = [kx2, ky2]; % Reciprocal lattice vector 2
% Calculate the angle between the reciprocal lattice vectors using dot product
dotProduct = dot(G1, G2); % Dot product of G1 and G2
magnitudeG1 = norm(G1); % Magnitude of G1
magnitudeG2 = norm(G2); % Magnitude of G2
% Angle between the reciprocal lattice vectors (in radians)
reciprocalAngle = acos(dotProduct / (magnitudeG1 * magnitudeG2));
% Correct periodicity calculations (swap kx and ky for periodicity)
periodX = 1 / abs(kx1); % Periodicity along x-axis (use kx1)
periodY = 1 / abs(ky1); % Periodicity along y-axis (use ky1)
sgtitle(['$\omega_z = 2 \pi \times$', num2str(round(Params.wz/(2*pi)), '%.2f'), ' Hz; $\theta = $', num2str(rad2deg(Params.theta), '%.2f'), '$^\circ$; ', sprintf('Detected Lattice Type: %s\n', lattice_type)], 'Interpreter', 'latex', 'FontSize', 18, 'FontWeight', 'bold')
end

48
Dipolar-Gas-Simulator/+Scripts/analyzeGSWavefunction_multipleruns.m Normal file
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@ -0,0 +1,48 @@
function [contrast_array, periodX_array, periodY_array] = analyzeGSWavefunction_multipleruns(folder_base_path, numberofruns)
% Extract the last two folder names from folder_base_path
folder_parts = strsplit(folder_base_path, '/');
if length(folder_parts) >= 2
video_name_base = strcat(folder_parts{end-1}, '_', folder_parts{end});
else
video_name_base = folder_parts{end}; % In case there's only one folder in the path
end
% Create the output video name with .mp4 extension
output_video_name = strcat(video_name_base, '_wavefunction_analysis.mp4');
% Initialize arrays to store contrast, periodX, and periodY for each run
contrast_array = zeros(1, numberofruns);
periodX_array = zeros(1, numberofruns);
periodY_array = zeros(1, numberofruns);
% Set up video writer
videoObj = VideoWriter(output_video_name, 'MPEG-4'); % Create a video file object
videoObj.FrameRate = 1; % Set the frame rate (adjust as needed)
videoObj.Quality = 100; % Maximum quality (for compression)
open(videoObj); % Open the video file for writing
% Loop through all the runs and process each folder
for run_index = 1:numberofruns
% Call the function that processes the wavefunction data
[contrast, periodX, periodY] = Scripts.analyzeGSWavefunction(folder_base_path, run_index);
% Store the results in the arrays
contrast_array(run_index) = contrast;
periodX_array(run_index) = periodX;
periodY_array(run_index) = periodY;
% Capture the current figure (output of analyzeGSWavefunction_multipleruns)
frame = getframe(gcf); % Get current figure as a frame
writeVideo(videoObj, frame); % Write the frame to the video file
% Optionally close the figure if you don't need it
close(gcf);
end
% Close the video writer after all frames have been added
close(videoObj);
fprintf('Video saved as %s\n', output_video_name);
% Return the arrays
end

3
Dipolar-Gas-Simulator/+Scripts/analyzeRun2D.m
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@ -1,3 +0,0 @@
function analyzeRun2D(folder_path, run_index)
end

154
Dipolar-Gas-Simulator/+Scripts/extractLatticeProperties.m Normal file
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@ -0,0 +1,154 @@
function [kx, ky, fftMagnitude, lattice_type, dx_um, dy_um, freq_x, freq_y, rotation_angle] = extractLatticeProperties(I, x, y)
% Detects lattice geometry, extracts periodic spacings, and reconstructs real-space lattice vectors.
% Handles arbitrary lattice geometries with rotation correction.
%
% Inputs:
% I - Grayscale image with periodic structures.
% x - X-coordinates in micrometers.
% y - Y-coordinates in micrometers.
%
% Outputs:
% lattice_type - Identified lattice type (Square, Rectangular, Hexagonal, Oblique, or Unknown)
% dx_um - Spacing along x-axis in micrometers.
% dy_um - Spacing along y-axis in micrometers.
% real_lattice_vectors - [2x2] matrix of lattice vectors in micrometers.
% rotation_angle - Angle of rotation of the lattice in degrees.
% Compute 2D Fourier Transform
F = fft2(double(I));
fftMagnitude = abs(fftshift(F))'; % Shift zero frequency to center
% Calculate wavenumber increment (frequency axes)
Nx = length(x);
Ny = length(y);
dx = mean(diff(x));
dy = mean(diff(y));
dkx = 1 / (Nx * dx); % Increment in the X direction (in micrometers^-1)
dky = 1 / (Ny * dy); % Increment in the Y direction (in micrometers^-1)
% Create the wavenumber axes
kx = (-Nx/2:Nx/2-1) * dkx; % Wavenumber axis in X (micrometers^-1)
ky = (-Ny/2:Ny/2-1) * dky; % Wavenumber axis in Y (micrometers^-1)
% Find peaks in Fourier domain
peak_mask = imregionalmax(fftMagnitude); % Detect local maxima
threshold = max(fftMagnitude(:)) * 0.1; % Adaptive threshold
peak_mask = peak_mask & (fftMagnitude > threshold);
% Extract peak positions
[rows, cols] = find(peak_mask);
% Convert indices to frequency values
freq_x = kx(cols);
freq_y = ky(rows);
distances = sqrt(freq_x.^2 + freq_y.^2);
% Remove DC component (center peak)
valid_idx = distances > 1e-3;
freq_x = freq_x(valid_idx);
freq_y = freq_y(valid_idx);
distances = distances(valid_idx);
% Sort by frequency magnitude
[~, idx] = sort(distances);
freq_x = freq_x(idx);
freq_y = freq_y(idx);
% Select first two unique peaks as lattice vectors
unique_vectors = unique([freq_x', freq_y'], 'rows', 'stable');
if size(unique_vectors, 1) < 4
warning('Not enough detected peaks for lattice vector determination.');
lattice_type = 'Undetermined';
dx_um = NaN;
dy_um = NaN;
freq_x = NaN;
freq_y = NaN;
rotation_angle = NaN;
else
% Select two shortest independent lattice vectors - Reciprocal lattice vectors
% Reciprocal lattice vectors
G1 = unique_vectors(1, :); % Reciprocal lattice vector 1
G2 = unique_vectors(3, :); % Reciprocal lattice vector 2
reciprocal_lattice_vectors = vertcat(G1, G2);
% Calculate the angle between the reciprocal lattice vectors using dot product
dotProduct = dot(G1, G2); % Dot product of G1 and G2
magnitudeG1 = norm(G1); % Magnitude of G1
magnitudeG2 = norm(G2); % Magnitude of G2
% Angle between the reciprocal lattice vectors (in degrees)
rotation_angle = rad2deg(acos(dotProduct / (magnitudeG1 * magnitudeG2)));
% Convert to real-space lattice vectors
% Compute the determinant of the reciprocal lattice vectors
detG = G1(1) * G2(2) - G1(2) * G2(1); % Determinant of the matrix formed by G1 and G2
if detG == 0
% Handle the case of collinear reciprocal lattice vectors
disp('Reciprocal lattice vectors are collinear.');
% If both G1, G2 or just G1 are along x-direction
if G1(1) ~= 0 && G1(2) == 0
a1 = [1 / norm(G1), 0]; % Real-space lattice vector along x
a2 = [0, 0]; % No periodicity in the y-direction (1D lattice)
% If G2 is along x-direction or if G1 is zero.
elseif G2(1) ~= 0 && G2(2) == 0
a1 = [1 / norm(G2), 0]; % Real-space lattice vector along x
a2 = [0, 0]; % No periodicity in the y-direction
% If G1 and G2 are both in the y-direction (i.e., [0, non-zero])
elseif G1(1) == 0 && G2(1) == 0
a1 = [0, 1 / norm(G1)]; % Real-space lattice vector along y
a2 = [0, 0]; % No periodicity in the x-direction
% If both vectors are zero (no periodicity)
else
a1 = [0, 0];
a2 = [0, 0];
end
else
% If reciprocal vectors are not collinear, compute the 2D real-space lattice
a1 = [G2(2), -G1(2)] / detG;
a2 = [-G2(1), G1(1)] / detG;
end
real_lattice_vectors = vertcat(a1, a2);
% Ensure correct orientation
real_lattice_vectors(isinf(real_lattice_vectors) | isnan(real_lattice_vectors)) = 0;
% Compute lattice spacings
dx_um = (1/norm(G2)) * 1E6;
dy_um = (1/norm(G1)) * 1E6;
% Correct for rotation by applying inverse rotation matrix
theta_rad = deg2rad(-rotation_angle); % Convert to radians
R = [cos(theta_rad), -sin(theta_rad); sin(theta_rad), cos(theta_rad)]; % Rotation matrix
real_lattice_vectors = (R * real_lattice_vectors')'; % Apply rotation correction
% Classify lattice type based on angle symmetry
angle_between_vectors = atan2d(real_lattice_vectors(2,2), real_lattice_vectors(2,1)) - ...
atan2d(real_lattice_vectors(1,2), real_lattice_vectors(1,1));
angle_between_vectors = mod(angle_between_vectors, 180);
if abs(angle_between_vectors - 60) < 5 || abs(angle_between_vectors - 120) < 5
lattice_type = 'Hexagonal';
elseif abs(angle_between_vectors - 90) < 5
lattice_type = 'Square';
elseif abs(angle_between_vectors - 90) > 5 && abs(angle_between_vectors - 120) > 5
lattice_type = 'Oblique';
else
lattice_type = 'Unknown';
end
% Display results
% fprintf('Detected Lattice Type: %s\n', lattice_type);
% fprintf('Estimated Spacing (dx): %.2f µm\n', dx_um);
% fprintf('Estimated Spacing (dy): %.2f µm\n', dy_um);
% fprintf('Rotation Angle: %.2f°\n', rotation_angle);
% fprintf('Lattice Vectors:\n');
% disp(real_lattice_vectors);
end
end

19
Dipolar-Gas-Simulator/+Scripts/run_locally.m
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@ -252,23 +252,28 @@ Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
%% - Analysis
SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz500';
JobNumber = 1;
Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
[contrast, periodicity] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
%% - Analysis
SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz750';
JobNumber = 1;
Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
[contrast, periodicity] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
%% - Analysis
SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz1000';
JobNumber = 1;
Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
[contrast, periodicity] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
%% - Analysis
SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz2000';
JobNumber = 1;
Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
[contrast, periodicity] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
%% - Analysis
SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz500';
NumberOfJobs = 14;
[contrast_array, periodX_array, periodY_array] = Scripts.analyzeGSWavefunction_multipleruns(SaveDirectory, NumberOfJobs);