karthik/Calculations
1
0
Fork 0
Code Issues Pull Requests repo.project_board Releases Wiki Activity

Added calculation of heating rate in the ODT (requires correction).

Browse Source
This commit is contained in:
Karthik 2023-03-16 19:28:49 +01:00
parent 6976e0ef91
commit 294fe62c36
2 changed files with 319 additions and 311 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

598
ODTCalculations.ipynb
View File

File diff suppressed because one or more lines are too long

28
calculateDipoleTrapPotential.py
View File

@ -81,9 +81,17 @@ def w(pos, w_0, lamb):
return w_0*np.sqrt(1+(pos / z_R(w_0, lamb))**2)
#####################################################################
# COLLISION RATES, PSD #
# CALCULATIONS
#####################################################################
def calculateHeatingRate(w_x, w_y, P, linewidth, detuning, wavelength = 1.064*u.um):
U = trap_depth(w_x, w_y, P).decompose()
Gamma_sr = ((linewidth * U) / (ac.hbar * detuning)).decompose()
E_recoil = (ac.h**2 / (2 * DY_MASS * wavelength**2)).decompose()
T_recoil = (E_recoil/ac.k_B).to(u.uK)
HeatingRate = 2/3 * Gamma_sr * T_recoil
return HeatingRate, T_recoil, Gamma_sr, U
def calculateAtomNumber(NCount, pixel_size, magnification, eta):
sigma = 8.468e-14 * (u.m)**(2)
return (1/eta * 1/sigma * NCount * pixel_size**2/magnification**2).decompose()
@ -267,7 +275,7 @@ def crossed_beam_potential(positions, waists, P, options, alpha = DY_POLARIZABIL
U_1 = - U_1_tilde * A_1 * np.exp(-2 * ((beam_1_positions[0,:]/w(beam_1_positions[1,:] + focus_shift_beam_1, waists[0][0], wavelength))**2 + (beam_1_positions[2,:]/w(beam_1_positions[1,:] + focus_shift_beam_1, waists[0][1], wavelength))**2))
R = rotation_matrix([0, 0, 1], np.radians(delta))
beam_2_positions = np.dot(R, beam_1_positions) + beam_2_disp
beam_2_positions = np.dot(R, positions + beam_2_disp)
A_2 = 2*P[1]/(np.pi*w(beam_2_positions[1,:] + focus_shift_beam_2, waists[1][0], wavelength)*w(beam_2_positions[1,:] + focus_shift_beam_2, waists[1][1], wavelength))
U_2_tilde = (1 / (2 * ac.eps0 * ac.c)) * alpha * (4 * np.pi * ac.eps0 * ac.a0**3)
U_2 = - U_2_tilde * A_2 * np.exp(-2 * ((beam_2_positions[0,:]/w(beam_2_positions[1,:] + focus_shift_beam_2, waists[1][0], wavelength))**2 + (beam_2_positions[2,:]/w(beam_2_positions[1,:] + focus_shift_beam_2, waists[1][1], wavelength))**2))
@ -299,7 +307,7 @@ def astigmatic_crossed_beam_potential(positions, waists, P, options, alpha = DY_
U_1 = - U_1_tilde * A_1 * np.exp(-2 * ((beam_1_positions[0,:]/w(beam_1_positions[1,:] - (del_y_1/2) + focus_shift_beam_1, waists[0][0], wavelength))**2 + (beam_1_positions[2,:]/w(beam_1_positions[1,:] + (del_y_1/2) + focus_shift_beam_1, waists[0][1], wavelength))**2))
R = rotation_matrix([0, 0, 1], np.radians(delta))
beam_2_positions = np.dot(R, beam_1_positions) + beam_2_disp
beam_2_positions = np.dot(R, positions + beam_2_disp)
A_2 = 2*P[1]/(np.pi*w(beam_2_positions[1,:] - (del_y_2/2) + focus_shift_beam_2, waists[1][0], wavelength)*w(beam_2_positions[1,:] + (del_y_2/2) + focus_shift_beam_2, waists[1][1], wavelength))
U_2_tilde = (1 / (2 * ac.eps0 * ac.c)) * alpha * (4 * np.pi * ac.eps0 * ac.a0**3)
U_2 = - U_2_tilde * A_2 * np.exp(-2 * ((beam_2_positions[0,:]/w(beam_2_positions[1,:] - (del_y_2/2) + focus_shift_beam_2, waists[1][0], wavelength))**2 + (beam_2_positions[2,:]/w(beam_2_positions[1,:] + (del_y_2/2) + focus_shift_beam_2, waists[1][1], wavelength))**2))
@ -369,9 +377,16 @@ def extractTrapFrequency(Positions, TrappingPotential, axis):
xdata = tmp_pos[lb:ub]
Potential = tmp_pot[lb:ub]
p0 = [1e3, tmp_pos[center_idx].value, -100]
popt, pcov = curve_fit(harmonic_potential, xdata, Potential, p0)
v = popt[0]
dv = pcov[0][0]**0.5
try:
popt, pcov = curve_fit(harmonic_potential, xdata, Potential, p0)
v = popt[0]
dv = pcov[0][0]**0.5
except:
popt = np.nan
pcov = np.nan
v = np.nan
dv = np.nan
return v, dv, popt, pcov
def computeTrapPotential(w_x, w_z, Power, options):
@ -999,4 +1014,3 @@ def plotCollisionRatesAndPSD(Gamma_elastic, PSD, modulation_depth, new_aspect_ra
plt.show()
#####################################################################