{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Image-Based Wavefront Sensing\n", "\n", "In this example, we will show how to implement image-based wavefront sensing based on prysm. We will use the library both to synthesize the truth data, and as the embedded modeling tool used as part of the optimization routine.\n", "\n", "We begin by importing a few classes and functions from prysm and other modules and writing some functions to generate data from zernike coefficients," ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from functools import partial\n", "\n", "import numpy as np\n", "\n", "from scipy.optimize import minimize\n", "\n", "from prysm import NollZernike, PSF\n", "\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "plt.style.use('bmh')\n", "\n", "def bake_in_defocus(zernikes, defocus_values):\n", " return [{**zernikes, **dict(Z4=defocus)} for defocus in defocus_values]\n", "\n", "def zerns_idxs_to_dict(zernike_coefs, indices):\n", " return {k:v for k, v in zip(indices, zernike_coefs)}\n", "\n", "# a few extra variables are passed in and aren't used,\n", "# but we're aiming for brevity in this example, not pristine code\n", "# so we just collect them with kwargs and don't use them\n", "def zernikes_to_pupil(zerns, epd, wvl, samples, efl=None, Q=None, phase_mask=None):\n", " return NollZernike(**zerns, # coefficients\n", " dia=epd, wavelength=wvl, # physical parameters\n", " norm=True, z_unit='waves', # units and normalization\n", " transmission='circle', phase_mask=phase_mask, # geometry\n", " samples=samples) # sampling\n", "\n", "def zernikes_to_psfs(sets_of_zernikes, efl, epd, Q, wvl, samples):\n", " psfs = []\n", " for zerns in sets_of_zernikes:\n", " pupil = zernikes_to_pupil(zerns, epd, wvl, samples)\n", " psf = PSF.from_pupil(pupil, Q=Q, efl=efl)\n", " psfs.append(psf)\n", " return psfs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`zernikes_to_psfs` is quite terse, but has a lot going on. `zerns` is a dictionary that contains key-value pairs of (Noll) Zernike indexes and their coefficients. Unpacking it allows us use arbitrary combinations of Zernike terms within the algorithm. In `zernikes_to_pupil,` `mask_target` is used to avoid masking the phase during optimization, improving performance. We make explicit that the pupil is circular with `mask`. It will be used both inside the optimizer and to synthesize data. We will treat EFL, EPD, Q, and $\\lambda$ as known.\n", "\n", "Next, we synthesize the truth data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# wavefront data\n", "defocus_values_waves_rms = [-0.65, 0, 0.76] # noninteger values with nothing special about them\n", "reference_zernikes = dict(Z5=0.012, Z6=0.023, Z7=0.034, Z8=0.045, Z9=0.056, Z10=0.067, Z11=0.12)\n", "wavefront_coefs = bake_in_defocus(reference_zernikes, defocus_values_waves_rms)\n", "\n", "# system parameters\n", "efl = 1500\n", "epd = 150 # F/10, e.g. an unobscured telescope with 15 cm aperture\n", "wvl = 0.55 # monochromatic visible system\n", "Q = 2.13 # minorly oversampled\n", "samples = 128 # this is a reasonable number for small OPD and uncomplicated aperture geometry\n", "\n", "ztp_kwargs = dict(efl=efl, epd=epd, Q=Q, wvl=wvl, samples=samples)\n", "truth_psfs = zernikes_to_psfs(wavefront_coefs, **ztp_kwargs)\n", "\n", "def rowplot_psfs(psfs):\n", " fig, axs = plt.subplots(ncols=3, figsize=(10,4))\n", " for psf, ax in zip(psfs, axs):\n", " psf.plot2d(fig=fig, ax=ax, xlim=125, power=1/2)\n", " ax.grid(False)\n", "\n", " fig.tight_layout()\n", " return fig, axs\n", "\n", "rowplot_psfs(truth_psfs);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal of image-based wavefront sensing is to take these PSFs and use them to estimate the wavefront that generated them (above, `reference_zernikes`) without prior knowledge. We do this by constructing a nonlinear optimization problem and asking the computer to determine the wavefront coefficients for us. To that end, we formulate a cost function which calculates the mean square error between the data and the truth," ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def optfcn(zernike_coefs, indices, ztp_kwargs, defocuses, truth_psfs):\n", " base_wavefront_coefs = zerns_idxs_to_dict(zernike_coefs, indices)\n", " wavefront_coefs = bake_in_defocus(base_wavefront_coefs, defocuses)\n", " psfs = zernikes_to_psfs(wavefront_coefs, **ztp_kwargs)\n", " \n", " # t = truth, m = model. sum(^2) = mean square error\n", " diffs = [((t.data - m.data)**2).sum() for t, m in zip(truth_psfs, psfs)]\n", " \n", " # normalize by N,\n", " # psf.size = number of pixels\n", " diff = sum(diffs) / (len(psfs) * psfs[0].size)\n", " return diff\n", "\n", "coefs = [f'Z{n}' for n in [5, 6, 7, 8, 9, 10, 11]]\n", "optfcn_used = partial(optfcn,\n", " indices=coefs,\n", " ztp_kwargs=ztp_kwargs,\n", " defocuses=defocus_values_waves_rms,\n", " truth_psfs=truth_psfs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This function computes the mean square error between the data in our model PSFs and the truth. Let's check that it returns zero for the truth:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "optfcn_used(reference_zernikes.values())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This (probably) means we didn't make a mistake. In your own program, this should be verified more rigorously. To get a sense for execution time, how quickly can we evaluate it?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12.6 ms ± 313 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%timeit optfcn_used(reference_zernikes.values())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the computer this document was written on, the time is 5.5ms per run. So we should expect much less than a second per iteration of the optimizer; this problem is not so large that running it requires a supercomputer.\n", "\n", "All that is left to do is ask the optimizer kindly for the true wavefront, given a guess. A general guess might be all zeros -- a pupil with no wavefront error. This does not assume any prior knowledge. The L-BFGS-B minimizer tends to perform the best for this problem, from experience." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " fun: 7.042575279445578e-10\n", " hess_inv: <7x7 LbfgsInvHessProduct with dtype=float64>\n", " jac: array([1.46646785e-06, 2.59797657e-06, 3.68414703e-06, 3.74960584e-06,\n", " 4.64570900e-07, 3.23406804e-06, 1.38068190e-06])\n", " message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n", " nfev: 208\n", " nit: 18\n", " status: 0\n", " success: True\n", " x: array([0.01205381, 0.0231425 , 0.03408251, 0.04508824, 0.05602528,\n", " 0.06708393, 0.12002983])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opt_result = minimize(optfcn_used, tuple([0] * len(coefs)), method='L-BFGS-B')\n", "opt_result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Casting the `x0` variable to a tuple makes it immutable, which will help when you try to debug one of these problems, but doesn't matter here.\n", "\n", "How did the optimizer do? Well, let's compare the PSFs." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "true PSFs\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# this is copy pasted from optfcn, but we aren't trying to make the cleanest code right now.\n", "base_wavefront_coefs = zerns_idxs_to_dict(opt_result.x, coefs)\n", "wavefront_coefs = bake_in_defocus(base_wavefront_coefs, defocus_values_waves_rms)\n", "retrieved_psfs = zernikes_to_psfs(wavefront_coefs, **ztp_kwargs)\n", "\n", "print('true PSFs')\n", "rowplot_psfs(truth_psfs);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "estimated PSFs\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('estimated PSFs')\n", "rowplot_psfs(retrieved_psfs);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like a good match. How about the wavefronts? We have to change the mask target here to the phase visualizes the way we expect." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "true_wavefront = zernikes_to_pupil(reference_zernikes, **ztp_kwargs, phase_mask='circle')\n", "retrieved_wavefront = zernikes_to_pupil(wavefront_coefs[1], **ztp_kwargs, phase_mask='circle')\n", "elementwise_difference = true_wavefront - retrieved_wavefront\n", "\n", "fig, axs = plt.subplots(ncols=3, figsize=(14,8))\n", "true_wavefront.plot2d(fig=fig, ax=axs[0])\n", "retrieved_wavefront.plot2d(fig=fig, ax=axs[1])\n", "elementwise_difference.plot2d(fig=fig, ax=axs[2])\n", "\n", "\n", "for ax in axs:\n", " ax.grid(False)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimization function ideally lets us predict the RMS error of the estimate. Let's compare," ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2.6537850853913506e-05, 0.00021508427530044047)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sqrt(opt_result.fun), elementwise_difference.rms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "They differ by about a factor of ten, which is unfortunate. The RMS error is 2 thousandths of a wave; a pretty good result. What's the peak error?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0015135008964947683" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "elementwise_difference.pv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "about 1 1/2 hundredth of a wave, or ~7 nanometers. Not bad. Competitive with interferometers, anyway." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More advanced tasks are left to the reader, such as:\n", "\n", "* handling of noise\n", "\n", "* performance optimization\n", "\n", "* improved flexibility w.r.t units, pupil shapes, etc\n", "\n", "* estimation of Q or other system parameters\n", "\n", "* inclusion of focal plane effects\n", "\n", "* extension to N PSFs instead of 3\n", "\n", "* use of more terms\n", "\n", "* use of other types of phase diversity instead of focus\n", "\n", "* formulation of a cost function better connected to the error in the wavefront estimate\n", "\n", "* tracking of the optimizer to better understand the course of optimization\n", "\n", "* use of other data, such as [MTF](https://static1.squarespace.com/static/578d10066a4963fd85e0aa32/t/5af25e61aa4a99ed9ecfa39c/1525833475522/bdd_ug_thesis_10.pdf)" ] } ], "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }