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@brandondube
Created March 12, 2019 02:40
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Onion Ring Bokeh.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \"Onion Ring Bokeh\"\n",
"\n",
"In the photography community, defects in the out-of-focus highlights of lenses are widely discussed. These result from mid-particular spatial frequency errors on the optical surfaces. Here, we will show an example of using prysm in a relatively extended fashion to model this. We begin, as usual, by importing some classes and other libraries."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"from prysm import NollZernike, PSF\n",
"\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We begin by using the `NollZernike` class to make a pupil with 25 waves fo defocus to give us a relatively uniform disk for the diffraction limited out of focus image."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x18a283d47b8>)"
]
},
"execution_count": 2,
"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": [
"pupil = NollZernike(Z4=25/1.5, samples=384, dia=25) # 100 waves PV of defocus, 25mm for F/2\n",
"pupil._gengrid() # generate the (normalized coordinate) grid, stored in pupil.rho, pupil.phi\n",
"\n",
"ps = PSF.from_pupil(pupil, efl=50, Q=1.25)\n",
"ps.plot2d(axlim=200, power=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ripples are Fresnel rings and are a consequence interference very similar to the [Gibbs phenomenon](https://en.wikipedia.org/wiki/Gibbs_phenomenon). They disappear the farther out of focus you go, and can be wiped away by coarser sampling with an image sensor, or significantly polychromatic light.\n",
"\n",
"We used a value of Q below 2 (worse than Nyquist sampled) because the image is so out of focus, it largely lacks high frequency detail to be aliased, so the choice of Q has minimal consequence.\n",
"\n",
"What if the pupil had some ripples in it from structured errors on optical surfaces in the system?"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x18a283b51d0>)"
]
},
"execution_count": 3,
"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": [
"pupil2 = pupil.copy()\n",
"\n",
"# 15 cycles per aperture, lambda/25 RMS amplitude\n",
"const = 2 * np.pi * 15\n",
"phase_mod = np.sin(pupil.rho * const) * (np.sqrt(2) / 25)\n",
"pupil2.phase += phase_mod\n",
"\n",
"ps = PSF.from_pupil(pupil2, efl=50, Q=1.25) \n",
"ps.plot2d(axlim=200, power=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ripples print through into the in-focus image. What if the image was in focus?"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x18a29299c18>)"
]
},
"execution_count": 4,
"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"
},
{
"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": [
"pupil3 = NollZernike(samples=384, dia=25) # same parameters as before, but no error\n",
"pupil3.phase += phase_mod\n",
"\n",
"pupil3.plot2d(clim=0.25) # +/- 138 nm\n",
"plt.title('Wavefront with ripple error')\n",
"\n",
"ps = PSF.from_pupil(pupil3, efl=50, Q=3) # Q=2 now, we need high resolution\n",
"ps.plot2d(axlim=20, power=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This looks just like an Airy disk; the ripples have low RMS amplitude, so they do little damage to the in-focus image.\n",
"\n",
"What if the ripples were more localized, occuring in just one band within the clear aperture?"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x18a2a0328d0>)"
]
},
"execution_count": 5,
"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"
},
{
"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": [
"def gauss_r(r, center, sigma=0.1, amplitude=1):\n",
" numerator = (r-center) ** 2\n",
" denominator = 2 * sigma ** 2\n",
" return amplitude * np.exp(-numerator / denominator)\n",
" \n",
"phase_mod2 = phase_mod * gauss_r(pupil.rho, center=0.66, sigma=0.02)\n",
"phase_mod_vis = phase_mod2.copy()\n",
"phase_mod_vis[pupil._mask == 0] = np.nan\n",
"plt.imshow(phase_mod_vis, cmap='inferno')\n",
"\n",
"pupil4 = pupil.copy()\n",
"pupil4.phase += phase_mod2\n",
"\n",
"ps = PSF.from_pupil(pupil4, efl=50, Q=1.25) # Q=2 now, we need high resolution\n",
"ps.plot2d(axlim=200, power=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now there is an inner ring in addition to the Fresnel rings. The formation of this is related to the angular spectrum of the aperture. An ensemble of rays from the perturbed annulus of the aperture propagate at a different angle to the rest; the interference begins at the radius they appear at within the clear aperture, crosses through the center at focus where they overlap with the natural interference from the support of the aperture, then dissipate to an infinite distance as the observation plane moves further behind focus."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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