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87627fc | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 | import astropy.units as u
import pyoptica as po
import matplotlib.pyplot as plt
import numpy as np
import math
import os
from scipy.fft import fft2, ifft2, fftshift, ifftshift
import aotools.opticalpropagation as op
import scipy.special as sc
import time
import multiprocessing
from multiprocessing import Pool
from zern_generator import generate_zern_wavefront, generate_zern_wavefront_fig
from scipy.ndimage import zoom
fig, (ax1, ax2) = plt.subplots(2,1)
#f2.show()
f = 100 * 10 ** -3 # Форкусное расстояние линзы
radius = 5 * 10 ** -3 # Радиус линзы
span = (-(2*radius), 2*radius)
lens = po.ThinLens(radius, f)
z = 100 * 10 ** -3 # Расстояние
wavelength = 500 * 10 ** -9 # Длина волны
pixel_scale = 250 * 10 ** -4 # Размер пикселя
npix = 2**9 # Размер сетки
ddx = np.linspace(*span, npix)
ddy = np.linspace(*span, npix)
xv, yv = np.meshgrid(ddx, ddy)
f2 = generate_zern_wavefront(xv, yv, [0,0,0,1,0,0], norm_radius=radius)
dist_from_center = np.sqrt(xv**2 + yv**2)
mask = dist_from_center <= radius
f2[mask==0] = 0
f2[np.isnan(f2)] = 0
k = 2*math.pi/wavelength
wf = np.zeros((npix, npix), dtype=np.complex64)
wf[mask] = 1 + 0j
wf += f2 * 1j
wf = fftshift(fft2(wf))
phase_mul = ((np.exp(1j*k*z) * np.exp(1j*k*(xv**2 + yv**2)/(2*z)))/(1j*wavelength*z))
#wf = wf * phase_mul
wf= np.abs(wf)**2
#wf = np.log10(wf)
crop = 20
center = npix//2
vx = np.linspace(*span, npix)
ax1.imshow(wf, extent = (*span, *span), cmap="gray")
#ax2.plot(vx, wf[npix//2])
ax2.imshow(f2, extent = (*span, *span),cmap="gray")
print(np.ptp(wf))
plt.show()
# amp = np.array(wf.amplitude)
# a = fftshift(fft2(wf.amplitude))
# a = np.abs(a)**2
# print(a)
# ax.imshow(a, extent=(-npix*pixel_scale/2, npix*pixel_scale/2,-npix*pixel_scale/2, npix*pixel_scale/2))
# plt.show()
# # Двойной интеграл из 4.13
# def calc_point_fourier(x,y, uxy):
# res = 0 + 0j
# for x0 in range(npix):
# x_r = to_real(x0)
# for y0 in range(npix):
# y_r = to_real(y0)
# res += uxy * np.exp(-1j*k*(x*x_r + y*y_r)/z)
# return res
# # Считает точку по 4.13
# def calc_point(x,y):
# x_r = to_real(x)
# y_r = to_real(y)
# if y%100 == 1:
# os.system('cls')
# print(f"{npix*x + y}/{npix**2}")
# return ((np.exp(1j*k*z) * np.exp(1j*k*(x_r**2 + y_r**2)/(2*z)))/(1j*wavelength*z)) * calc_point_fourier(x_r, y_r, amp[x][y])
# if __name__ == "__main__":
# pairs = []
# for x in range(npix):
# for y in range(npix):
# pairs.append((x,y))
# multiprocessing.freeze_support()
# with Pool(20) as p:
# res = p.starmap_async(calc_point, pairs)
# a = res.get()
# a = np.abs(a)**2
# a = a.reshape((npix, npix))
# a /= np.max(a)
# ax.imshow(a, extent=(-npix*pixel_scale/2, npix*pixel_scale/2,-npix*pixel_scale/2, npix*pixel_scale/2))
# plt.show()
try:
pass
except KeyError:
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