diff --git a/Accordion_2.m b/Accordion_2.m new file mode 100644 index 0000000..b3e21a7 --- /dev/null +++ b/Accordion_2.m @@ -0,0 +1,69 @@ +clear; + +% Elementary constants +c = 299792458; %Speed of light [m/s] +h = 6.626070040e-34; %Planck constant [J/Hz] +hbar = h/2/pi; +u0 = 4*pi*1e-7; %Vacuum permeability [N/A^2] +e0 = 1/u0/(c^2); %Vacuum permittivity [A^2*s^4/kg/m^3] +qe = 1.6021766208e-19; %Elementary charge [C] +G = 6.67408e-11; %Gravitational constant [m^3/kg/s^2] +kB = 1.38064852e-23; %Boltzmann constant [J/K] +me = 9.10938356e-31; %Electron rest mass [kg] +mp = 1.672621898e-27; %Proton mass [kg] +uB = qe*hbar /2/me; %Bohr magneton [J/T] +uN = qe*hbar /2/mp; %Nuclear magnton [J/T] +alpha = u0*qe^2*c/(2*h); %Fine structure constant +u = 1.660539040e-27; %Atomic mass unit [kg] +a0 = 4*pi*e0*hbar^2/me/qe^2; %Bohr radius [m] +Ry = 13.605693009; %Rydberg energy [eV] + +%Dysprosium properties +mDy = 164*u; %Dysprosium mass [kg] +abuDy164 = 0.2826; %Dy164 abundance +Polar1064 = 193*4*pi*e0*a0^3; %Dynamical polarizability of Dy for 1064 and 532 [A^2s^4/kg] +Polar532 = 350*4*pi*e0*a0^3; + +%Laser properties +lambda = 532e-9; %Laser wavelength [m] +k = 2*pi/lambda; %Wave number of laser [m^-1] +P0 = 10; %Power [W] + +%Coordinate rotation y-axis for E1 +theta= 4/180*pi; %Half angle between the beams +x = linspace(-3000,3000,1501)*1e-6; %Definition of coordinate System +y = 0; +z = linspace(-300,300,1501)*1e-6; + +[X,Z]=meshgrid(x,z); +xt= X.*cos(theta)+Z.*sin(theta); +yt = y; +zt= -X.*sin(theta)+Z.*cos(theta); + +%Gaussian beam propagating in xt direction +w0 = 90e-6; %Beam waist at x=xt=0 (center of the trap) +xr = pi*w0.^2/lambda; %Rayleigh length i xt-direction +wxt = w0.*sqrt(1+(xt./xr).^2); %Radius to 1/e +P = P0/2; + +E0 = sqrt(2*P./(pi*wxt.^2*c*e0)); %Electric field at time 0 , x=-f origin +E1 = E0*w0./wxt.*exp(-(zt.^2+yt.^2)./wxt.^2).*exp(-1i*k.*xt); %Electric field 1 + +%Coordinate rotation y-axis for E2 +theta= -theta; %Half angle between the beams +xt= X.*cos(theta)+Z.*sin(theta); +yt = y; +zt= -X.*sin(theta)+Z.*cos(theta); + +E2 = E0*w0./wxt.*exp(-(zt.^2+yt.^2)./wxt.^2).*exp(-1i*k.*xt); %Electric field 1 + +%Interference of the two beams +Itot = abs(E1+E2).^2 ; %Intensity of the interference pattern + +figure +imagesc(x,z,Itot) +set(gca,'YDir','normal') + + + +