From a1b57c64fc39961931a18a11c9ad6a7c9f0e6c7d Mon Sep 17 00:00:00 2001 From: Karthik Chandrashekara Date: Wed, 5 Mar 2025 19:31:07 +0100 Subject: [PATCH] Minor corrections. --- .../ExactSolutionThomasFermiDipolarGas.nb | 838 +++++++++++++++--- .../extractIRF.m | 3 +- 2 files changed, 710 insertions(+), 131 deletions(-) diff --git a/Estimations/ExactSolutionThomasFermiDipolarGas.nb b/Estimations/ExactSolutionThomasFermiDipolarGas.nb index b8b42a1..59af041 100644 --- a/Estimations/ExactSolutionThomasFermiDipolarGas.nb +++ b/Estimations/ExactSolutionThomasFermiDipolarGas.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 88751, 2177] -NotebookOptionsPosition[ 85817, 2128] -NotebookOutlinePosition[ 86336, 2147] -CellTagsIndexPosition[ 86293, 2144] +NotebookDataLength[ 114204, 2755] +NotebookOptionsPosition[ 111264, 2706] +NotebookOutlinePosition[ 111782, 2725] +CellTagsIndexPosition[ 111739, 2722] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -560,8 +560,8 @@ Cell[BoxData[{ RowBox[{"FrameLabel", "\[Rule]", RowBox[{"{", RowBox[{ - RowBox[{"HoldForm", "[", "\[CapitalXi]", "]"}], ",", - RowBox[{"HoldForm", "[", "\[Kappa]", "]"}]}], "}"}]}], ",", + RowBox[{"HoldForm", "[", "\[Kappa]", "]"}], ",", " ", + RowBox[{"HoldForm", "[", "\[CapitalXi]", "]"}]}], "}"}]}], ",", RowBox[{"PlotLabel", "\[Rule]", "None"}], ",", RowBox[{"LabelStyle", "\[Rule]", RowBox[{"{", @@ -573,18 +573,18 @@ Cell[BoxData[{ RowBox[{"Black", ",", RowBox[{"Thickness", "[", "Large", "]"}]}], "]"}]}]}], "]"}], "\[IndentingNewLine]", - RowBox[{"Plot", "[", + RowBox[{"LogLinearPlot", "[", RowBox[{ RowBox[{"Evaluate", "[", RowBox[{"f", "[", "\[Kappa]", "]"}], "]"}], ",", " ", RowBox[{"{", - RowBox[{"\[Kappa]", ",", " ", "1", ",", " ", "2"}], "}"}], ",", " ", + RowBox[{"\[Kappa]", ",", " ", "0.01", ",", " ", "100"}], "}"}], ",", " ", RowBox[{"PlotRange", "\[Rule]", "Full"}], ",", " ", RowBox[{"FrameLabel", "\[Rule]", RowBox[{"{", RowBox[{ - RowBox[{"HoldForm", "[", "f", "]"}], ",", - RowBox[{"HoldForm", "[", "\[Kappa]", "]"}]}], "}"}]}], ",", + RowBox[{"HoldForm", "[", "\[Kappa]", "]"}], ",", " ", + RowBox[{"HoldForm", "[", "f", "]"}]}], "}"}]}], ",", RowBox[{"PlotLabel", "\[Rule]", "None"}], ",", RowBox[{"LabelStyle", "\[Rule]", RowBox[{"{", @@ -613,8 +613,9 @@ Cell[BoxData[{ 3.921915096563401*^9}, 3.921915425823962*^9, {3.9219162262764597`*^9, 3.921916267628192*^9}, {3.921918065077128*^9, 3.921918073619347*^9}, { 3.9219182218598757`*^9, 3.921918222370739*^9}, {3.922000091404818*^9, - 3.9220001321464205`*^9}}, - CellLabel->"In[84]:=",ExpressionUUID->"fa978809-3917-431e-807d-035d120fce82"], + 3.9220001321464205`*^9}, {3.9501881321062207`*^9, + 3.9501881511459165`*^9}, {3.950188188115255*^9, 3.950188189401899*^9}}, + CellLabel->"In[87]:=",ExpressionUUID->"fa978809-3917-431e-807d-035d120fce82"], Cell[BoxData[ GraphicsBox[{{{}, {}, @@ -650,7 +651,7 @@ VUdpJcPAUTI0YN1McKs0RePKW1c3t7SW93hW4rduQwx4PF3/VvA7wabIjL/P DjKw3pwRu5F3TOS7aC/eh/yUF6p5C8P7r5a/ZuDK2sZxM+9cY7jIj/d/5LNS Nw== "]]}, - Annotation[#, "Charting`Private`Tag$13646#1"]& ]}, {}}, + Annotation[#, "Charting`Private`Tag$15564#1"]& ]}, {}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, @@ -709,8 +710,8 @@ Nw== 3.9219162271200533`*^9, 3.9219162681030407`*^9}, {3.921918066734226*^9, 3.9219180739907923`*^9}, 3.9219182230640154`*^9, 3.9219943516392436`*^9, { 3.92200009357691*^9, 3.9220001325201864`*^9}, {3.9501529205190115`*^9, - 3.950152946436215*^9}}, - CellLabel->"Out[84]=",ExpressionUUID->"9f080d1e-c33d-46cc-9d98-4517405a6908"], + 3.950152946436215*^9}, {3.950188160137885*^9, 3.9501881903993874`*^9}}, + CellLabel->"Out[87]=",ExpressionUUID->"19059dfa-d58a-4b81-90ad-fde3d7493758"], Cell[BoxData[ GraphicsBox[{{{}, {}, @@ -746,7 +747,7 @@ BEkL2QOHf6Lgk7xOVKgk8CnNj+/bRIHBvJkUpSHIeNZZkbeRwiHaztCHWoI6 y+fh/VwKku5Z7iw9gWf57akeRubd6LA7bdylQG5OV36kMb8gW/N5t+JH3EUD HAr/Aw59iwc= "]]}, - Annotation[#, "Charting`Private`Tag$13694#1"]& ]}, {}}, + Annotation[#, "Charting`Private`Tag$15612#1"]& ]}, {}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, @@ -754,13 +755,13 @@ HAr/Aw59iwc= DisplayFunction->Identity, Frame->{{True, True}, {True, True}}, FrameLabel->{{ + FormBox[ + TagBox["\[CapitalXi]", HoldForm], TraditionalForm], None}, { FormBox[ TagBox[ TagBox[ TagBox["\[Kappa]", HoldForm], HoldForm], HoldForm], TraditionalForm], - None}, { - FormBox[ - TagBox["\[CapitalXi]", HoldForm], TraditionalForm], None}}, + None}}, FrameStyle->Directive[ GrayLevel[0], Thickness[Large]], @@ -806,63 +807,476 @@ HAr/Aw59iwc= 3.9219162271200533`*^9, 3.9219162681030407`*^9}, {3.921918066734226*^9, 3.9219180739907923`*^9}, 3.9219182230640154`*^9, 3.9219943516392436`*^9, { 3.92200009357691*^9, 3.9220001325201864`*^9}, {3.9501529205190115`*^9, - 3.950152946483117*^9}}, - CellLabel->"Out[85]=",ExpressionUUID->"c8213d60-0c97-4ed5-9009-25a8ce528380"], + 3.950152946436215*^9}, {3.950188160137885*^9, 3.950188190444285*^9}}, + CellLabel->"Out[88]=",ExpressionUUID->"3b870275-72c1-4718-8a28-c01b4fa852f2"], Cell[BoxData[ GraphicsBox[{{{}, {}, TagBox[ {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ 1.], LineBox[CompressedData[" -1:eJwVjHk41Hkcx5GWJkWTSS1lszlik4q1aH2wSG3WtT1irTSdWjnSJpG0g5RC -oYtmKpOila1NVOpjVEjjyBEz6/xtrnLMMMYxM75r/3g/rz/er+e1mhnmvU9F -SUnJfW7/0zL8xHwlJRHYP/CJYyQ5vuQqT95wVBaBi2e4J2hboHZG5LcsFRG4 -j8qE95Y64HhxyIEv5otAUNWQ+RfdEx/JAt9q0ETgvdo/VagVhBZnfriwQlsE -HR3uaZsXhaMZW4OxyUQEYZlRr2lfxKMBn71mv6cIuiITJBGjafiOdjIx7a4I -2H71Remsmzit+dF2bEoEcZ80jUcC7uHS3lT7MjcxcCzrqtLHi3AgZ5y1lSOG -tYmh03vVH6OTbs9KLZEYovVkRo2vStA3Nnn62pYxMLscfmF3+XP0K4z8OuXG -GIhLM4bTshG7uf23iofHoLTeK6c0g4cGpxjMXOdxsF5Vba4a/QoH9fnHarLG -YdaaGBZYv8Gc9ErBzt5xmND5MHCrvxJpH0/EFdhJQCw7teRDcTUqFCVRVucl -8Le6n57Brhq8P/PgEetfCUjbtG++MOSja9WgnY3NBNT5700t7KjFff6FK0zO -ToBbi9a8fUfq0aHB1EbYNQH1818rP7zYgByNDYVvLKRgbFB6TMXvPT4zEzOP -Jksh9nBAAs28EXlfTuw/1ykFcQ9jxFneiO4Np1FgPgn9qrMxy581YebBar+h -xElQ0xzeuDaxGYOqrrh91zoJsLGfYePQgsulBYmfjaaAnxfH2TLRgilqx1WZ -J6fg823GNYOSD8jqqm1dUjcFdmF9w38Gt6L19Y6hBMNpiGWicZ5JG7au2eC5 -K2YaxoS6yzg9bSj/fZF65Ltp6OctvyNOEWB7fq7yNoMZuL2Y4m11EqIjt8LD -P3IGNrsUaPl8EuKlUMOh9xUz8EZRf2jhhX+QretUo7FCBpAb6XPArh3Xp/XL -44Nl0HQ5q2FhezvG9LpGlJbLoHZ8KEkluQO3q6y3XUuXA5+j/v0lo06kjfp7 -KTPlIPyK52JW3omslw4FOaVyeLzHx6psbxee/rnIN2KBAuTGNPsIeRfa1ra6 -LtitAN7BgqvBHt3YxXBOUC9RwIjK84X67G5cYGizzFFtFprPr2vJ7+vGkWUD -g5sDZ6FGpnYnyLIHd9br048UzUKhvWS3ZmwPFvlmJy8ms+ARQgRneD3Iq2hw -CN1BQD/0GU9Vg8KdklR3tTwCFabXLhZ7UlhZ52QRdpcA/eiuhD4vCi3zpfTW -ewSaTz4+oONDoWZgYFvefQIWHppK0Tvm/Kp1e1wfzv0/3o2y86fQKpt/PLGM -wMqQX1gv9lBId6Jx5zURaJRztZ8cozBe72XSb80EzlUe1u2NonBEGhHc1EJg -v+ogXTuawrf3Bea5bQRstsuaImLmfEb+U6dOAusZD9jfxFM4OrCl/vQgAUWc -sy/nLIUBr2QPBz8RoEKfBteeo7DmRlGm1xCBkKSxEFkKhXneOv6rRwm0ZBW7 -+KZSGFjW97FcQsCPznZYnEEh//L1KhMpgUN6PgK7TAptI34qSJ8k8OuqFmZw -FoUMoydhQTMETMOd3V5fofAPpUPe1TICI2ObuOKrFIqEK60sFAS2NUlEq67P -9Yvf61ydJXDKNNl8e/ZcPy1xhhAC3CWjAdE5FP4HXgOlTA== +1:eJwV1Xk8VOsbAHDGWMYyZuSmIVmKlCWVqFy9SaRsNy2oq6tCKruyXHJJCxUh +EYpkqYiUbEXnoV1Zyk6RFsuYOSdGSg3ze39/nM/7+X7O5/28z3ne53mO1oEA +Zy+amJhYN37+vzpwFty9d1QJAq8fcQr4TiH/eMKo2UcJ5tmlPtuPnfzDu2zU +SwnCbUqX78Tu6Kws1fBQglDdww1rsfek7riTuFMJpl8XLRLH9pa7ePuwhRKs +k3U9nTRFoehZyQItRSW4vFrnULaAQtd9SxdbyCsB8x0n5Tx2Q//OfFeGEnie +X3EzEpv+MP/GRQm8v+fvjL3Y50It82Z/sEF+K/O0KnY6FZXT+5ENjjdG/kub +pNDdIcGVlPtsUB9YuCF8AsebvKTV/y4b2L0cfU/sYLRL0v4OG2qPDQmdsE2v +VQVJFbHhyeWNjkux61wjtkVmskElb3NBxzcKNbXO/faMYUNc8m/hMuwv9Yx/ +1jqyQfGyxM7HJIWe+66//IcdGypiVFKKsG+qHX09uYUNB7JVy5Kwj0S8MSu1 +ZMPqB9Zn92FPmFxkaa9hQ//Cs/eEfArNlSg3yi1kg8uvBmIVNidLQ2dwjAUW +NsKzp8Yp9CbbPWlimAVq4bp2R7BjrmX/kPjCgm6/w3wn7NHrKk16AyxQUMts +UcWuuqkYEPyOBXlHVorKuBRyrhTVSD5iATxc+71tDOevbdDe4AIL1ugYyP4a +odCGd+pVGxJY4PaY808/9kT7Xo3tZ1jQGfQ4sQ7btbt74ngMCzwSQsKisXUH +WtOJYyxY5OYXJobdOE58dHZnQe4CgUj4lUK/pa4fizBiQc2lA31dnyn0b7Fy +apY+C7Q14+oqsH85JNx9pMcCdsJASDL2z7Rg7qw2C+j0qP1bsae1rT1OqrBA +q4JYVfuJQpMbuHbnxVhQ7a4ekzyE643vY7O+UBEO9Jc4LRykULuJc2xUriJ8 +2cYIEQxQ6F2ked3jTEWIPjvk2YTdxmCuskpShCykWhGG/UanQt0+TBHOeVsL +Wj9Q6Kn77JT7VkXQWx7UEvqeQhXNKfmxfCZsXfrK8movhValJdptGWGCmmVB +pQ/2/T0JAvkhJmQ6zxs2wS4fibG60sEEznfXyDc9FLojHvi57BETNqmq+//s +plDRGsfF7xOYYK+moGfVRaGsa7L5prpMWLWBCsl7h+/bU8pOqMEEJ/6dZk/s +K8tpggYOE/o9UnqWYmdUz2xyUGCCBWklVvqWQmlvRz8dnFKAhEtHL1S0UShR +8oV2SqMCbFbRQvdacH34xd0Y36cAE5sNjH2bKJTfm1mu5qYADs2xJcuwn1uX +P7bboQDScsVdw68oJL/oQ1/JFgUQ3RWt98C+0mI6z9cYu+/USqeXuJ9WcON4 +4gqgNP/dSfXnFBqY+MuLXyAP+y340hENFBLfdyhEPVceAjLsG/WxlzSdiHXI +lAdihabmAOD6v1F8rTRRHuKHI59aYk8707v8QuUhb/mOAjpBIeaDahtyizx8 +cQrdH15HIYvQRXoUVw5kJxc3KFdT6OP+Lfk3vsjBiPGSxIoqCp1yCFy0e0AO +uLat/duxm5Y0Kte/lYPCmPq5C5UU2t3uJX6+Rg5UZn9sna2gUKBxaZ/uGTmw +97lw9Fk5zgfXPHGflhy89JU5SN2mkE2Xp4ySmhzM6oTan8DmNiTGPVOWAwlb +Kl8W2zhzMMJARg5WGW/IWnwLz4ctcd6/SFnQk6lLdiyiUFdBE0qvk4UHB1lS +8TcoxPjHbbLZRRYkDGvJuCwKbU6iOnO2y8LBdCgQw46pP10bYCcLVSc2V0dl +4nyo3Y9hI1nYb0qQwVco9KlHVnGXriyosi1TXdIp9NC5Tv/9FAMqljbPiaVS +yNdGw4ubwoDc8Z73LfF43hyvtH10ngEBQcnX1mB/KrAzuHCaARttF+Rln8X9 +KxEuMIxgQNzuZX5eZyhkDW2xQR4MSPBli3+Lo9Ci9SdzfhoxoNtY5PwxmkKt +hl+7pd7IgN3TPJulxyhURkvX2vRcBsQ7tctiQih0odvm6AmQgR23r7v0BlNo +W+ytOcEDGcio8vaLD8L11XFUZ+iaDMhVPU784I/zFTkZ/ChABtiqK3gHDlOo ++JVIIXCeDFimNNp1uFMoIafcpURBBvqVpfcqY/uE7M8blpaBtF6/lB1/43mj +/sTEXSgN5nrswNY9FMoLPLN321dp2Bab0F/ngutVReH2kmpp8N3omuu3nUKn +vVQ39+6Rho2G8Y6am/G8rv3wK2OnNBwqDHhtbIXvg5l3b7ejNKTHNuls3EQh +WvVSjQ5LaaAo8Nu7Ef+fZNb8atGThq9pNbqn/qRQaIlT+dNpKRgcnlhwzQTH +N3FqYXmqFOyp3nf182IKvbC2bfe/IAWrzb3MmrVxvFly5wzPSEFnTf6pSi18 +/qbUH8URUrBdl2F8UoNCHmm57wo9pMA6gZ8np0YhN7OH8dlGUpBv/M/tD2yc +zxPU1JkmSXhlZ1oTMkcih7BmdvlTSShSvbnOZpZEfwWVGPU+lgSR2ZifipBE +u70O+ehXSALv/I2xyhkS7XcY7G/NloS/OwQyn6dIFK7e2rjADzvj4SMhl0SF +9WXJxYqS0L+M2ruki0S3qi+UtjMk4eYlXkZTB4mK7x1pEkpIgurVnD0B7SQq +L9SlO/2kw7oxJ/8HbSSqS8wJE3ykQ7HjRKHBaxK9c0/a9+d9OjQuzpHtIEgk +Nudn0LKTDs5PIphTN0mUbV57T9mJDrQ9mtKBRSQyjaCb7d1Kh1FZZ29uAYmO +TmVZjlrQQSLAzrkvj0Rd3Be7aUvpkBMgXVWUTaI73VqxpjMS4K/ov/NbEolc +73V25lyTgP+yukjzYyQSkJp7v2ZIwHzr+srYYBIlGfh+1E+VAK0N+eXPAkn0 +5CZtvOaMBJjfbDa39SORUc4KsfYACTi1ei7czJtE9PMJy6U3SYDqltk/6l3w +93pa/BcwTIO7NQWdrutI9ForO2jdRxq0z9RMm5qRaHjg50GJPhqsn1WoVVpD +ooVuD2wzmmm4fy0XPDEmUbyDvhLxgAb5ZYMiKT0SeZhyCplxNEhX1DjEmU8i +lsz3plINGtw2XdLt8o2P9J8514dxaNCzxDDhK5+PbE6W37WcR4PXh2IuBo7z +UZTwaFqnFA3m7fqRFD3MR6PfPrnP8sXx/Dqo9O97PoLetm/2deLgVlZA8V7w +UUDJnfk8V3FYWO7QdvcqHxkxdQI0d4iDu3e02rwsPuIFXnux00EcxG2fN4Vk +8NER06TwektxCFF7Zm+YykeeDQF9ScvFoYDhfj3mLB/t6V6Vs1IoBvTsoeSi +IByfRK1OWK4YGIZ/LRu04iNJ75XRJZli8KVWZdH4Rj56+vJ21+Al7DPutwQW +fGSZlHXWNl4MDKIr6EIzPvqTEzXGCcL7yTVZY/p8tGoFKq3bJAa/i020Tefh +91XnDtPfiAjDpUnVcYM89PDf61MhhIho+T4iO9zPQ2tR1X+f74sIkaHR1c09 +PGTycuhyYyZ265Oj0208ZNC3tjHmkIj4a0uOl0EjD6nNDavO0kSEMPueYCCf +h35ZW735vm6OSFeJLN3iyUPhsm4uXoZzBNuiIlzfg4emW/w/dWjOEZqt2zly +f/PQpEvWzwrpOWLwsVtz/Q4e4h6eWBLcOUuYlR+/8W0TD/Ul5p4gA2eJi4/o +8gmaPFTb+dto5KaQMMxo/uXbM468tXjnUrKFxPY/z1f2tY8jZb/3w+YXhYTk +2yna5tZxFEivz0kOFRJJa7JtGc/Hkd7qaOZ6ayEhYldo76sYR+nJYuSFT7+J +lGB/faPEcRRsJ1m6Sv03ca+kyOQvi3G0vIGpH506Q+zyiYkaTOIiDVeTHbNn +ZojTmcWHIxO4SJlyi4yKnCEW7O5oUDrFRaKFha//9ZwhRmc5t1ZHcFFHuLlv +mOkMofpxgcjiIBdFG/uUBvb9JMA0wjfYlIvacxtWHNT+STw8snzGpncMRUUf +M7G9P02kLsw9IckaQ8HKhGlL4TRxZL7VaJfMGPIpZqzbmTlN9Lzw0bohPoZ2 +dOVYeMRME8FFpRM6glG03OiVTbjjNKF1PKXkU+co6vmg7naL+50wT61OM8wa +RSYWL07ILP5OaFfqMSbVRxHvN+fFy0sCou9O551Y9gha9iHz8uJ4AdHKMxuy +Yowg78ccz+goATFP218kEhtBQzEccRMvASEYnaC8vg2jLkmOea6pgGiqYXmM +tgwjUFxw93jvJJE/0hTx7NwwSls8P0NbY5LYsDflR9vsV/SnndKhqOJvRLW/ +fWNN2xe0uzJNs1lynDAIXXn//egQUve1/cjo+EI0FNfqtml9QFsTrY67cQYI +B1Ob7kl6F2rb9N0xIuUtseutW0bD2yZ0QPQy7HJENREZ8UfT+Kn7KOvTWiMb +RR9iTGGK6WZxEP0PP83wzA== + "]], LineBox[CompressedData[" +1:eJwVyn8w1Hkcx/Fl2di1u9/9Xh32ROyKSiV3Whe17zpMKfmxqTUSndrURU4/ +zq+OWz9yNf0YP1JXOlFJKoxLhni7fsmVNH4ft6YS5RyXJT/Sfr6398drnvOY +edl+eyBwtyGLxdqk3/9NSRUs9xZGymO8Dp9OXBuBk7s5N7x5rfI7c4Vb0pub +ccGYTNVfrJHH9W5OzHnUje9W3yGt1gPyXP544fPqV7htmKvZuGlYjpceBoR1 +DGJqQqh/2bH38qbDLRKJahg98IOjunhcTmyGlLWc9zjPxX3CNmtSbhnDnn/S +RIsz3X2Z/OgZuebGxlJd+zgirstZl/lJnuH7UZJ09gNebVdkeUYx8uWDoa3W +vCmsyslir19vAAfrCgfnRU/j4s4A2RY0hPxq+2tRp2awaEWDH2e5EcxN0Zhy +0j4i/9YpiabOGDim57+ZiJzFY1gZI3aZA9ROE19/m0+oHXOLT3pkAkmUl4Tb ++Akj1kSp0gK44Gx5IzMuQIdvbKefae/zQHXE/XRMvQ61zcmWrk08qDZ+kWzX +oENWwhzVDy08eHAuWNb2uw6/aP2cme3lAbM6jTg/0mGg2nWF8QcevDxayu57 +qsOG17G55g5mwJ1Iv0C6dXixaCTU44QZyGL7joZpdRhk3z+aruDD3RHeuT9s +CTYs8e8IDebDlTFFqJWE4GKXulrXMD7sWtfpHiUlSNbkZQ7s4wPnXZu3mQPB +a8qNdl5qPqxaVHJF7kRw8kRlkFEFH6Jqo0jiSoJntan31AIBpKZ+Tfn5EOxE +6fHkJgG8yt7Tn3SA4HW11GRViwDunX1bmR1DMMFLmjHRLoC5jnmNJd8TtH4q +Ue99KYCCUlVN20GCezrtEhRTAqgueNNjHUdw+p8F+xzshbAhNPpAVgpBS/F8 +n5YUIRzqbrXUniG4rIabLrSi4Fxiv9vNMoJdIT/xl9hQkOYpUpSWE0zRTeV6 +21HQqbYvL6kg2AoD1446UpDHMXe9UknwSCM+Gf6KAs+worgzdwnWtR8ye+JL +gcIhPtgbCW76ty87JZkCp9Eh0yXPCe6VVhaOvabgZd7PIeNDBOGg1XTXAAVP +PVq11X8TtLif7lv/joLz4f6sH4cJPg5TTh8fpeDmth3JnBGCdhd0vtKPFCzl +N5uL3hPsEa2f2SoSgVNFvgF/kqAP85ffPbkIdo0MLy40YNCph6PLuCiCsq7Y +ii3mDDratBQ/+FUE8QZXn/EtGLTflRfIKhLBUJVm62O9rUcdrseXiMCDK65x +FTNIGW5Q7K8Sgdi/vJE/n8GJRSdKAl6IIOiHt6FFdgzWxQu3WhnRsH1vfsie +pQzW1HexgufQsL+2caFwGYNV7ILSXC4Noni76Cq9y086GwhFNHTazMaynRks +vBxw08CahgePF4bnuTCY0ZRt+FZGA082bF0sY1At2H5L4k5Dfe/lXm83BpMV +UmX4GhocleXiQb3jNL/d+tOThlPiIFvJKgb3jXUonwXQEJ7kHJLnwaBq5SW2 +aRANfkli1y9XMxiRqLrtpaShsSco57ne242n2LiDBvMItzdsOYNKH7w9u1P/ +r/2lI1/voNPHgt1207Cw5aGvDBgMbPczOhxJg9HJz3xf6L3Z0qKs4jsaLAr6 +2yLXMvgfQnhTIw== "]]}, - Annotation[#, "Charting`Private`Tag$13742#1"]& ]}, {}}, + Annotation[#, "Charting`Private`Tag$15673#1"]& ], {}}, {}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, - AxesOrigin->{1., 0}, + AxesOrigin->{-4.605170185988091, 0}, + CoordinatesToolOptions:>{"DisplayFunction" -> ({ + Exp[ + Part[#, 1]], + Part[#, 2]}& ), "CopiedValueFunction" -> ({ + Exp[ + Part[#, 1]], + Part[#, 2]}& )}, DisplayFunction->Identity, Frame->{{True, True}, {True, True}}, FrameLabel->{{ FormBox[ - TagBox[ - TagBox[ - TagBox["\[Kappa]", HoldForm], HoldForm], HoldForm], TraditionalForm], - None}, { + TagBox["f", HoldForm], TraditionalForm], None}, { FormBox[ - TagBox["f", HoldForm], TraditionalForm], None}}, + TagBox[ + TagBox["\[Kappa]", HoldForm], HoldForm], TraditionalForm], None}}, FrameStyle->Directive[ GrayLevel[0], Thickness[Large]], - FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, - GridLines->{Automatic, Automatic}, + FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[ + Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , + Charting`ScaledFrameTicks[{Log, Exp}]}}, {{ + Automatic, Automatic}, {{{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.01\"", ShowStringCharacters -> False], 0.01, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.10\"", ShowStringCharacters -> False], 0.1, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}, {{-4.605170185988091, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, { + 4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, + 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}], + GridLines->{{-4.605170185988091, -2.3025850929940455`, 0., + 2.302585092994046, 4.605170185988092}, Automatic}, GridLinesStyle->Directive[ GrayLevel[0.5, 0.4]], ImagePadding->All, @@ -877,24 +1291,186 @@ FoUMoydhQTMETMOd3V5fofAPpUPe1TICI2ObuOKrFIqEK60sFAS2NUlEq67P "Droplines" -> { "freeformCursorMode" -> True, "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> - AbsolutePointSize[6], "ScalingFunctions" -> None, - "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ - (Identity[#]& )[ - Part[#, 1]], - (Identity[#]& )[ - Part[#, 2]]}& ), "CopiedValueFunction" -> ({ - (Identity[#]& )[ - Part[#, 1]], - (Identity[#]& )[ - Part[#, 2]]}& )}}, - PlotRange->{{1, 2}, {-0.5816008391489516, -8.160139184556422*^-9}}, + AbsolutePointSize[6], "ScalingFunctions" -> None}, + PlotRange->NCache[{{-4.605170185988091, + Log[100]}, {-1.9534691121025443`, + 0.9987103034118388}}, {{-4.605170185988091, + 4.605170185988092}, {-1.9534691121025443`, 0.9987103034118388}}], PlotRangeClipping->True, PlotRangePadding->{{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.05], Scaled[0.05]}}, - Ticks->{Automatic, Automatic}]], "Output", + Ticks->FrontEndValueCache[{Quiet[ + Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , + Automatic}, {{{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.01\"", ShowStringCharacters -> False], 0.01, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.10\"", ShowStringCharacters -> False], 0.1, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, + Automatic}]]], "Output", CellChangeTimes->{ 3.9219055686320353`*^9, 3.9219146880815086`*^9, 3.9219147786718583`*^9, 3.9219148191025305`*^9, {3.9219148526610117`*^9, 3.921914866223222*^9}, { @@ -903,8 +1479,8 @@ FoUMoydhQTMETMOd3V5fofAPpUPe1TICI2ObuOKrFIqEK60sFAS2NUlEq67P 3.9219162271200533`*^9, 3.9219162681030407`*^9}, {3.921918066734226*^9, 3.9219180739907923`*^9}, 3.9219182230640154`*^9, 3.9219943516392436`*^9, { 3.92200009357691*^9, 3.9220001325201864`*^9}, {3.9501529205190115`*^9, - 3.950152946554635*^9}}, - CellLabel->"Out[86]=",ExpressionUUID->"af00977e-e8a0-4eee-9ca3-ec9eded84f66"] + 3.950152946436215*^9}, {3.950188160137885*^9, 3.9501881905526495`*^9}}, + CellLabel->"Out[89]=",ExpressionUUID->"1c7c1d4f-c933-4684-8316-8aac54de33a1"] }, Open ]], Cell[TextData[StyleBox["Number density and chemical potential from \ @@ -934,47 +1510,49 @@ Cell[BoxData[{ SubscriptBox["v", "z"], " ", "=", " ", "500"}], ";"}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ - RowBox[{"SL", " ", "=", " ", - RowBox[{"Table", "[", - RowBox[{ - RowBox[{"i", " ", "BohrRadius"}], ",", - RowBox[{"{", - RowBox[{"i", ",", "130", ",", " ", "200"}], "}"}]}], "]"}]}], ";", " ", + RowBox[{ + RowBox[{"SL", " ", "=", " ", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"i", " ", "BohrRadius"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "130", ",", " ", "200"}], "}"}]}], "]"}]}], ";"}], + " ", RowBox[{"(*", - RowBox[{"Range", " ", "of", " ", "scattering", " ", "lengths"}], "*)"}], - "\[IndentingNewLine]", - RowBox[{"Plot", "[", + RowBox[{"Range", " ", "of", " ", "scattering", " ", "lengths"}], + "*)"}]}], "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"AspectRatioEquation", "[", - RowBox[{"\[Kappa]", ",", " ", "as"}], "]"}], "/.", " ", - RowBox[{"{", - RowBox[{ - RowBox[{"\[Gamma]", "\[Rule]", " ", - FractionBox[ - SubscriptBox["v", "z"], - SubscriptBox["v", "x"]]}], ",", " ", - RowBox[{"as", "\[Rule]", " ", - RowBox[{"130", " ", "BohrRadius"}]}]}], "}"}]}], ",", " ", + RowBox[{"AspectRatioEquation", "[", + RowBox[{"\[Kappa]", ",", " ", "as"}], "]"}], "/.", " ", RowBox[{"{", - RowBox[{"\[Kappa]", ",", " ", "0", ",", " ", "250.0"}], "}"}], ",", " ", - RowBox[{"PlotRange", "\[Rule]", "Full"}], ",", - RowBox[{"FrameLabel", "\[Rule]", - RowBox[{"{", - RowBox[{ - RowBox[{"HoldForm", "[", "\[Kappa]", "]"}], ",", - RowBox[{"HoldForm", "[", "Values", "]"}]}], "}"}]}], ",", - RowBox[{"PlotLabel", "\[Rule]", "None"}], ",", - RowBox[{"LabelStyle", "\[Rule]", - RowBox[{"{", - RowBox[{"16", ",", "Black", ",", "Bold"}], "}"}]}], ",", - RowBox[{"GridLines", "\[Rule]", "Automatic"}], ",", - RowBox[{"Frame", "\[Rule]", "True"}], ",", - RowBox[{"FrameStyle", "\[Rule]", - RowBox[{"Directive", "[", - RowBox[{"Black", ",", - RowBox[{"Thickness", "[", "Large", "]"}]}], "]"}]}]}], - "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Gamma]", "\[Rule]", " ", + FractionBox[ + SubscriptBox["v", "z"], + SubscriptBox["v", "x"]]}], ",", " ", + RowBox[{"as", "\[Rule]", " ", + RowBox[{"130", " ", "BohrRadius"}]}]}], "}"}]}], ",", " ", + RowBox[{"{", + RowBox[{"\[Kappa]", ",", " ", "0", ",", " ", "250.0"}], "}"}], ",", " ", + RowBox[{"PlotRange", "\[Rule]", "Full"}], ",", + RowBox[{"FrameLabel", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"HoldForm", "[", "\[Kappa]", "]"}], ",", + RowBox[{"HoldForm", "[", "Values", "]"}]}], "}"}]}], ",", + RowBox[{"PlotLabel", "\[Rule]", "None"}], ",", + RowBox[{"LabelStyle", "\[Rule]", + RowBox[{"{", + RowBox[{"16", ",", "Black", ",", "Bold"}], "}"}]}], ",", + RowBox[{"GridLines", "\[Rule]", "Automatic"}], ",", + RowBox[{"Frame", "\[Rule]", "True"}], ",", + RowBox[{"FrameStyle", "\[Rule]", + RowBox[{"Directive", "[", + RowBox[{"Black", ",", + RowBox[{"Thickness", "[", "Large", "]"}]}], "]"}]}]}], + "]"}], "\[IndentingNewLine]", RowBox[{"FindRoot", "[", RowBox[{ RowBox[{ @@ -2126,8 +2704,8 @@ Cell[BoxData[""], "Input", 3.9219996555440273`*^9}},ExpressionUUID->"525d49fe-438b-455d-acfe-\ 64f548d9b197"] }, -WindowSize->{1920, 989}, -WindowMargins->{{1912, Automatic}, {Automatic, -8}}, +WindowSize->{1904, 981}, +WindowMargins->{{1920, Automatic}, {Automatic, 0}}, TaggingRules->{ "WelcomeScreenSettings" -> {"FEStarting" -> False}, "TryRealOnly" -> False}, Magnification->1.5, @@ -2154,31 +2732,31 @@ Cell[5564, 153, 390, 9, 49, "Input",ExpressionUUID->"a535950b-0832-4f86-9704-498 Cell[5957, 164, 11540, 342, 1078, "Input",ExpressionUUID->"6499959a-0ec7-4fa4-9039-96cfca376bb0"], Cell[17500, 508, 267, 8, 49, "Input",ExpressionUUID->"4b274978-c5a7-486d-ab9a-bc223c69fab2"], Cell[CellGroupData[{ -Cell[17792, 520, 4445, 96, 189, "Input",ExpressionUUID->"fa978809-3917-431e-807d-035d120fce82"], -Cell[22240, 618, 4262, 94, 382, "Output",ExpressionUUID->"9f080d1e-c33d-46cc-9d98-4517405a6908"], -Cell[26505, 714, 4275, 95, 381, "Output",ExpressionUUID->"c8213d60-0c97-4ed5-9009-25a8ce528380"], -Cell[30783, 811, 4289, 95, 373, "Output",ExpressionUUID->"af00977e-e8a0-4eee-9ca3-ec9eded84f66"] +Cell[17792, 520, 4569, 97, 189, "Input",ExpressionUUID->"fa978809-3917-431e-807d-035d120fce82"], +Cell[22364, 619, 4310, 94, 382, "Output",ExpressionUUID->"19059dfa-d58a-4b81-90ad-fde3d7493758"], +Cell[26677, 715, 4321, 95, 381, "Output",ExpressionUUID->"3b870275-72c1-4718-8a28-c01b4fa852f2"], +Cell[31001, 812, 29527, 670, 388, "Output",ExpressionUUID->"1c7c1d4f-c933-4684-8316-8aac54de33a1"] }, Open ]], -Cell[35087, 909, 350, 9, 49, "Input",ExpressionUUID->"80c1bd0f-beae-4d0d-a962-1fd9f07e9fbf"], +Cell[60543, 1485, 350, 9, 49, "Input",ExpressionUUID->"80c1bd0f-beae-4d0d-a962-1fd9f07e9fbf"], Cell[CellGroupData[{ -Cell[35462, 922, 4087, 91, 323, "Input",ExpressionUUID->"08544f05-6456-4e6e-8560-567b589ce9ff"], -Cell[39552, 1015, 6774, 135, 340, "Output",ExpressionUUID->"a56e03af-27ef-4723-91b7-02dbedfbe63a"], -Cell[46329, 1152, 1032, 15, 64, "Output",ExpressionUUID->"0120f67f-5eff-4e56-973c-cf293fac64e9"] +Cell[60918, 1498, 4078, 93, 323, "Input",ExpressionUUID->"08544f05-6456-4e6e-8560-567b589ce9ff"], +Cell[64999, 1593, 6774, 135, 340, "Output",ExpressionUUID->"a56e03af-27ef-4723-91b7-02dbedfbe63a"], +Cell[71776, 1730, 1032, 15, 49, "Output",ExpressionUUID->"0120f67f-5eff-4e56-973c-cf293fac64e9"] }, Open ]], Cell[CellGroupData[{ -Cell[47398, 1172, 9028, 249, 936, "Input",ExpressionUUID->"39d82f2f-f93e-4569-a27f-746628c12c7d"], -Cell[56429, 1423, 3944, 86, 374, "Output",ExpressionUUID->"9fabf922-5e82-4700-84e1-c8aac18133aa"], -Cell[60376, 1511, 4140, 93, 345, "Output",ExpressionUUID->"e1c69af0-39e9-4f97-bde0-aa56b7d99d93"], -Cell[64519, 1606, 3974, 87, 387, "Output",ExpressionUUID->"abb1c42d-f7e9-49b4-b4fe-21d73fef27bd"], -Cell[68496, 1695, 3980, 88, 374, "Output",ExpressionUUID->"587a9128-f3ad-4e3e-b918-a8be29bfb029"] +Cell[72845, 1750, 9028, 249, 936, "Input",ExpressionUUID->"39d82f2f-f93e-4569-a27f-746628c12c7d"], +Cell[81876, 2001, 3944, 86, 374, "Output",ExpressionUUID->"9fabf922-5e82-4700-84e1-c8aac18133aa"], +Cell[85823, 2089, 4140, 93, 345, "Output",ExpressionUUID->"e1c69af0-39e9-4f97-bde0-aa56b7d99d93"], +Cell[89966, 2184, 3974, 87, 387, "Output",ExpressionUUID->"abb1c42d-f7e9-49b4-b4fe-21d73fef27bd"], +Cell[93943, 2273, 3980, 88, 374, "Output",ExpressionUUID->"587a9128-f3ad-4e3e-b918-a8be29bfb029"] }, Open ]], -Cell[72491, 1786, 397, 9, 49, "Input",ExpressionUUID->"ed8a25ea-12c4-4537-94e8-a47e73924303"], +Cell[97938, 2364, 397, 9, 49, "Input",ExpressionUUID->"ed8a25ea-12c4-4537-94e8-a47e73924303"], Cell[CellGroupData[{ -Cell[72913, 1799, 5735, 153, 551, "Input",ExpressionUUID->"2e1754c7-5e5b-421e-af86-eaf3b61abddd"], -Cell[78651, 1954, 3503, 82, 394, "Output",ExpressionUUID->"544c3284-a827-4642-ae3a-c3c53bad9c90"], -Cell[82157, 2038, 3487, 82, 378, "Output",ExpressionUUID->"56c6c934-d5fa-42c2-ba7c-fa8bcedd54f0"] +Cell[98360, 2377, 5735, 153, 551, "Input",ExpressionUUID->"2e1754c7-5e5b-421e-af86-eaf3b61abddd"], +Cell[104098, 2532, 3503, 82, 394, "Output",ExpressionUUID->"544c3284-a827-4642-ae3a-c3c53bad9c90"], +Cell[107604, 2616, 3487, 82, 378, "Output",ExpressionUUID->"56c6c934-d5fa-42c2-ba7c-fa8bcedd54f0"] }, Open ]], -Cell[85659, 2123, 154, 3, 43, "Input",ExpressionUUID->"525d49fe-438b-455d-acfe-64f548d9b197"] +Cell[111106, 2701, 154, 3, 43, "Input",ExpressionUUID->"525d49fe-438b-455d-acfe-64f548d9b197"] } ] *) diff --git a/Imaging-Response-Function-Extractor/extractIRF.m b/Imaging-Response-Function-Extractor/extractIRF.m index 039a02a..149e1d3 100644 --- a/Imaging-Response-Function-Extractor/extractIRF.m +++ b/Imaging-Response-Function-Extractor/extractIRF.m @@ -18,7 +18,8 @@ span = [255, 255]; fraction = [0.1, 0.1]; NA = 0.6; -pixel_size = 4.6e-6; +Magnification = 21; +pixel_size = 4.6e-6 / Magnification; lambda = 421e-9; % The diameter of the first dark concentric ring surrounding the central intensity peak of a point spread function (or Airy disk)