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@diplodocuslongus
Last active June 17, 2021 07:28
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prysm, new syntax, defocus, draft
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Defocus and contrast inversion\n",
"\n",
"This notebook attemps at reproducing the same results as in the original notebook but using the new syntax of prysm.\n",
"\n",
"It is a work in progress and the result of several exchanges with the author of prysm, Brandon Dube. \n",
"\n",
"References used were the Lens-MTF-Model notebook (in the tutorials) and others are mentioned wherever apropriate throughout the notebook.\n",
"\n",
"Many comments are unchanged from the original notebook, some added by myself to make it easier to follow for anyone learning physcial optics.\n",
"\n",
"In this notebook, we will use prysm to show how contrast inversion occurs as the image is swept out of focus. We begin by importing the relevant libraries and pieces of prysm:\n",
"\n",
"## Noll notation Zernike polynomial\n",
"\n",
"https://en.wikipedia.org/wiki/Zernike_polynomials\n",
"\n",
"Below, Z4 is used, which is defocus, and corrresponds to n,l = 2,0 (Z_n^l = Z_j)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Notable changes (0.19.2 onward)\n",
"\n",
"Most of the comments below were found in the online documentation for the latest release.\n",
"\n",
"The PSF module has changed from being a core part of propagation usage to a module purely for computing criteria of PSFs, such as fwhm, centroid, etc. PSF has been removed, and all metrics and measurements have moved from being methods of PSF to top-level functions\n",
" \n",
"https://prysm.readthedocs.io/en/latest/releases/v0.20.html#psf\n",
"\n",
" MTF was removed, use mtf_from_psf()\n",
" PTF was removed, use ptf_from_psf()\n",
" OTF was removed, use otf_from_psf()\n",
"\n",
"https://prysm.readthedocs.io/en/latest/releases/v0.20.html#otf\n",
"\n",
"SiemensStar has been removed, use siemensstar()\n",
"prysm.objects.siemensstar(r, t, spoke, ...) see the doc for more parameters, returns a 2D array of the same shape as r, t which is in the range [0,1]\n",
"https://prysm.readthedocs.io/en/latest/releases/v0.20.html#objects"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"# from prysm import NollZernike, PSF, MTF, SiemensStar\n",
"from prysm.polynomials import zernike_nm, noll_to_nm #, fringe_to_nm, ansi_j_to_nm\n",
"from prysm.objects import siemensstar\n",
"from prysm import coordinates\n",
"from prysm.propagation import Wavefront\n",
"from prysm.geometry import regular_polygon, circle\n",
"from prysm.otf import mtf_from_psf\n",
"\n",
"from matplotlib import pyplot as plt, animation\n",
"\n",
"from IPython.display import Video\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we create the source object to be blurred and a sequence of defocus values to interrogate, as well as some matplotlib code:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4785746970>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"efl = 50\n",
"fno = 4\n",
"wvl = 0.633 # ~ HeNe wl\n",
"\n",
"x, y = coordinates.make_xy_grid(256, diameter=efl/fno)\n",
"# x, y = coordinates.make_xy_grid(512, diameter=efl/fno)\n",
"dx = x[0,1]-x[0,0]\n",
"r, t = coordinates.cart_to_polar(x, y)\n",
"radius = efl/fno/2\n",
"rho = r / radius\n",
"# n_sides = 14\n",
"# aperture = regular_polygon(n_sides, radius, x, y)\n",
"# or\n",
"aperture = circle(radius, r) \n",
"# aperture = circle(1, r) # try this to see defocus and a ring patterned PSF\n",
"plt.imshow(aperture, origin='lower')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"defocus_values = np.linspace(-2, 2, 100) # 100 defocus values, spanning +/-4 waves of OPD (zernikes are 2r^2)\n",
"source_img = siemensstar(r,t, 32) # 64 spoke, square bar target Siemens Star\n",
"\n",
"# we'll deal with animation later\n",
"# Writer = animation.writers['ffmpeg']\n",
"# writer = Writer(fps=12)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4785730340>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(source_img)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"radius = 1\n",
"def xy():\n",
" x, y = coordinates.make_xy_grid(128, diameter=2*radius)\n",
" return x, y\n",
"\n",
"def rt(xy):\n",
" x, y = xy\n",
" return coordinates.cart_to_polar(x, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"r,t=rt(xy())\n",
"x,y = xy()\n",
"dx = x[0,1]-x[0,0]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-2.0\n"
]
}
],
"source": [
"print(defocus_values[0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All that is left is to write the plot loop, which will generate a view of the pupil, MTF, PSF, and blurred image:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use \n",
"prysm.polynomials.zernike.noll_to_nm(idx) to onvert Noll notation Z to (n, m) two-term index (instead of the old syntax NollZernike)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f478568bbe0>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mask = circle(1,rho) == 0\n",
"znoll = noll_to_nm(4) #NollZernike(Z4=defocus_values[idx])\n",
"zerp4 = zernike_nm(*znoll,rho,t) # Zernike polynomial on the r,t grid\n",
"# zerp4 = zernike_nm(*znoll,r,t) # Zernike polynomial on the r,t grid\n",
"zerp4[mask]=0 #np.nan # results on the whole PSF below being nan\n",
"plt.imshow(zerp4,cmap='RdBu')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## creating the psf\n",
"\n",
"We'll first create a pupil, for this we'll use the `from_amp_and_phase` method from the `prysm.propagation.Wavefront` class. \n",
"As the name implies it takes an amplitude and a phase to create .\n",
"\n",
"The phase is defined by the zernike polynomial created above, zerp4.\n",
"We can also include a wavefront error to the optical path difference but here the focus is on defocus.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"wfe_nm_rms = wvl/14*1e3 # nm, 3/4 of a wave, 1e3 = um to nm\n",
"opd = zerp4 * wfe_nm_rms\n",
"pup = Wavefront.from_amp_and_phase(aperture, opd, wvl, dx)\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"pup = Wavefront.from_amp_and_phase(aperture, zerp4, wvl, dx)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# pup.plot2d # find out later how to plot the pupil"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get the incoherent psf via the pupil wavefunction and intensity method\n",
"We use the prysm.propagation.focus(wavefunction, Q, norm=None) which propagates a pupil plane to a PSF plane (performs a “pupil” to “psf” plane propgation)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>, <AxesSubplot:>)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"psf = pup.focus(efl, Q=6).intensity\n",
"# psf = pup.focus(0.1, Q=2).intensity\n",
"# print(psf.fwhm) # error, 'RichData' object has no attribute 'fwhm' so here psf isn't np ary\n",
"psf_radius = 1.22*wvl*fno # 1.22 lambda / 2NA; 0.633um, f/# 4\n",
"psf.plot2d(xlim=psf_radius*5, log=True, cmap='gray',\n",
" clim=(1e5,1e9), interpolation='bilinear')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1536\n",
"2644887565.947786\n",
"2.2210596801810367e-07\n"
]
}
],
"source": [
"print(np.max(psf.data.shape)) # \n",
"print(np.max(psf.data))\n",
"print(np.min(psf.data))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Create the siemens star object\n",
"\n",
"We'll use the grid created for generating the psf"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4780bd16d0>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"source_img = siemensstar(psf.r, psf.t, 64,300) #psf.x.max()*0.8)\n",
"plt.imshow(source_img,cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### now onto the MTF\n",
"\n",
"mtf_from_psf returns a container holding the MTF, ready for plotting or slicing, return type: RichData (from [doc](https://prysm.readthedocs.io/en/latest/api/otf.html?highlight=mtf_from_psf#prysm.otf.mtf_from_psf))\n",
"\n",
"For plotting we'll take inspiration from prysm.mtf_utils.plot_mtf_vs_field, see [here](https://prysm.readthedocs.io/en/latest/api/mtf_utils.html?highlight=mtf_from_psf#prysm.mtf_utils.plot_mtf_vs_field)\n",
"\n",
"(data_dict, fig=None, ax=None, labels=('MTF', 'Freq [lp/mm]', 'Field [mm]', 'Az'), palette=None)\n",
"\n",
" Plot MTF vs Field.\n",
"Note: plot_mtf_vs_field() has been rewritten, and now requires seaborn as a dependency."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"mtf = mtf_from_psf(psf)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[Text(0.5, 0, 'Spatial frequency, cy/mm'), Text(0, 0.5, 'MTF')]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fx, _ = mtf.slices().x\n",
"fig, ax = mtf.slices().plot(['x', 'y'], xlim=(0,200))\n",
"# difflim = diffraction_limited_mtf(fno, wvl, fx)\n",
"\n",
"# ax.plot(fx, difflim, ls=':', c='k', alpha=0.75, zorder=1)\n",
"ax.set(xlabel='Spatial frequency, cy/mm', ylabel='MTF')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### note on the MTF above\n",
"\n",
"well... maybe not what I expected."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f477e6d04f0>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from prysm.convolution import conv\n",
"blurred = conv(source_img,psf.data)\n",
"# blurred /= 500000 # arbitrary normalization to get the Siemens Star about the right brightness\n",
"\n",
"plt.imshow(blurred,cmap='gray')\n",
"# blurred.show(fig=fig, ax=axs[3], show_colorbar=False)\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"112904290241.83978\n"
]
}
],
"source": [
"print(np.max(blurred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### defocus sweep\n",
"\n",
"This part is a work in progress and largely in the state of a pre-draft. It is directly derived from [this issue](https://github.com/brandondube/prysm/issues/38)."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(1, 1), (1, -1), (2, 0), (2, -2), (2, 2), (3, -1), (3, 1), (3, -3), (3, 3), (4, 0), (4, 2), (4, -2), (4, 4), (4, -4), (5, 1), (5, -1), (5, 3), (5, -3), (5, 5), (5, -5), (6, 0), (6, -2), (6, 2)]\n",
"2\n"
]
}
],
"source": [
"nms = [noll_to_nm(j) for j in range(2,25)] # tilt to some higher order thing\n",
"idefocus = nms.index((2,0))\n",
"print(nms)\n",
"print(idefocus)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"from prysm.polynomials import zernike_nm_sequence,sum_of_2d_modes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### sum_of_2d_modes\n",
"\n",
"[Documentation](https://prysm.readthedocs.io/en/latest/api/polynomials.html?highlight=%22sum_of_2d_modes%22#prysm.polynomials.sum_of_2d_modes) and [here](https://prysm.readthedocs.io/en/latest/releases/v0.20.html?highlight=%22sum_of_2d_modes%22) also.\n",
"\n",
"We achieve the defocus by applying a weight to the Z4 defocus using the sum_of_2d_modes method. It constructs a phase / OPD from Zernike modes.\n",
"We need the basis, which is built from the Noll Zernike numbering converted to nm convention with noll_to_nm, and the weighting (coefficient) for each element in the basis_set.\n",
"\n",
"Below and from the issue mentioned above is an example building a phase from random weights (coefficients), this is to illustrate how `sum_of_2d_modes` works."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"length of basis_set list: 23\n",
"basis_set[0].shape: (256, 256)\n",
"[0.94413475 0.04993929 0.74428983 0.24166831 0.48005599 0.19618575\n",
" 0.27230576 0.43872613 0.49118963 0.19876146 0.98558751 0.95394607\n",
" 0.8665605 0.73555692 0.05556889 0.18607358 0.45063063 0.32612989\n",
" 0.89920819 0.51360845 0.61175216 0.63584739 0.84183491]\n"
]
}
],
"source": [
"basis_set = list(zernike_nm_sequence(nms, r, t))\n",
"coefs = np.random.rand(len(nms))\n",
"c2 = coefs.copy()\n",
"phs = sum_of_2d_modes(basis_set, coefs)\n",
"print(f'length of basis_set list: {len(basis_set)}')\n",
"print(f'basis_set[0].shape: {basis_set[0].shape}')\n",
"print(coefs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### No defocus\n",
"\n",
"We'll use the same basis_set, but set all weight coefficients to 0 -> no defocus."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"length of basis_set list: 23\n",
"basis_set[0].shape: (256, 256)\n",
"[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n"
]
}
],
"source": [
"basis_set = list(zernike_nm_sequence(nms, r, t))\n",
"coefs = np.zeros(len(nms))\n",
"coefs[idefocus] = 0 #no phase difference, all 0\n",
"# nominal\n",
"phs = sum_of_2d_modes(basis_set, coefs)\n",
"print(f'length of basis_set list: {len(basis_set)}')\n",
"print(f'basis_set[0].shape: {basis_set[0].shape}')\n",
"print(coefs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### pupil from the nominal phase\n",
"\n",
"It's of course the same as one build above."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(256, 256) (256, 256)\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>, <AxesSubplot:>)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"print(aperture.shape, phs.shape)\n",
"pup = Wavefront.from_amp_and_phase(aperture, phs, wvl, dx)\n",
"psf = pup.focus(efl, Q=6).intensity\n",
"psf_radius = 1.22*wvl*fno # 1.22 lambda / 2NA; 0.633um, f/# 4\n",
"psf.plot2d(xlim=psf_radius*5, log=True, cmap='gray',\n",
" clim=(1e5,1e9), interpolation='bilinear')"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"mtf = mtf_from_psf(psf)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[Text(0.5, 0, 'Spatial frequency, cy/mm'), Text(0, 0.5, 'MTF')]"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fx, _ = mtf.slices().x\n",
"fig, ax = mtf.slices().plot(['x', 'y'], xlim=(0,200))\n",
"ax.set(xlabel='Spatial frequency, cy/mm', ylabel='MTF')"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4782f9e130>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"blurred = conv(source_img,psf.data)\n",
"plt.imshow(blurred,cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Now add defocus\n",
"\n",
"We'll use the same basis_set, this time with a defocus of 1nm (phase difference/error of 1nm introduced at the `idefocus` (2nd) element of the `coefs`)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"length of basis_set list: 23\n",
"basis_set[0].shape: (256, 256)\n",
"[0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n"
]
}
],
"source": [
"coefs = np.zeros(len(nms))\n",
"coefs[idefocus] = 1 #1 nm of phase difference, from_amp_and_phase takes a phase error in nm\n",
"phs = sum_of_2d_modes(basis_set, coefs)\n",
"print(f'length of basis_set list: {len(basis_set)}')\n",
"print(f'basis_set[0].shape: {basis_set[0].shape}')\n",
"print(coefs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### pupil from the nominal phase"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(256, 256) (256, 256)\n"
]
},
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>, <AxesSubplot:>)"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"print(aperture.shape, phs.shape)\n",
"pup = Wavefront.from_amp_and_phase(aperture, phs, wvl, dx)\n",
"psf = pup.focus(efl, Q=6).intensity\n",
"psf_radius = 1.22*wvl*fno # 1.22 lambda / 2NA; 0.633um, f/# 4\n",
"psf.plot2d(xlim=psf_radius*5, log=True, cmap='gray',\n",
" clim=(1e5,1e9), interpolation='bilinear')"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"mtf = mtf_from_psf(psf)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[Text(0.5, 0, 'Spatial frequency, cy/mm'), Text(0, 0.5, 'MTF')]"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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