{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Making a Telescope Point Spread Function\n", "\n", "This tutorial introduces the basic elements in HCIpy and makes a broadband PSF from a telescope." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "import matplotlib as mpl\n", "mpl.rc('image', interpolation='nearest', origin='lower')\n", "mpl.rcParams.update({'font.size': 22})\n", "plt.rc('figure', figsize=(10.0, 10.0))\n", "\n", "\n", "from hcipy import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will make monochromatic point spread functions (PSFs) for a telescope, and introduce the basic elements in HCIPy. We'll start by making a telescope pupil, then explain the code below." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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m42CoQC5B4SBIh4OhQiksZDoE0pZaMPwa+J+B7/Mjzf3mYpZ69zxQ3bbjGavWj25zo6Q+2m0Mkq5FxINz17GtnOrNqVbIq965a/UHtZhZh4PBzDpqCIYLcxewo5zqzalWyKveWWstfo3BzHZXw4zBzHbkYDCzjiKDQdJdki5LerX5yrw7VtzuEUnvSrpz6hpbNaytVdKHJf27pNckvS7pL2eo8Yiki02NL0m6e2n715vaXpf0yanrW7ZFvS9L+omk65JOzVVnU8vaWpvbPCDppqT7p6qryGAAngRejIjTwJvAE8s3kPQo8AjwxsS1LdtU6++BL0TEZ4DvA2cmrg8Ovrn8RlPjJeDpxYZmID8OfBr4IvDdGepbtrLexpmIeAh4Fjg3dXFL1tYq6TgHdf54yqJKDYajwPXm56vAsfbGJhQejohvTl3YIdbWGhF/iIjfNv88wTxBtq7GjwE/iwM3OLhib26b2vQ3zY9ztWfbylolPQA8A3wV+GDKolK7JHonzbdqX1r69TvATeDWmj99DDgl6QoHg+MF4PNj1LjQo9bF338F+FBE/GCE8raxrsaN9c9gbU2SPgc8BDw1STXrrar1UeA48CPg48AnJH02It4bu6CsgyEifgU8vPx7SeeAU8BPm/+/tfR3/9C67RXgb8ass3nMvWrVwZsYvg18EBHfGLvOFd4CPgVcplvjLzkYvEi6jzTei7CuXiSdBe4HnoqIuUNtZa0RcR44DyDpeeCfpgiFxYMX9x9wV9PQrwD/CtzR/P4ScO/Sba8Ad6ZaKwfPav/X1HkF+OcZajwCXGxqfBm4m4MBe6LZ/g3gNeA/gJMJ9P/KeoH7OFi3WbTn5VRrXbrd88D9U9XlC5zMrKPUxUcz68HBYGYdDgYz63AwmFmHg8HMOhwMZtbhYDCzDgeDmXX8P7D3YntvQOPpAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pupil_grid = make_pupil_grid(256)\n", "\n", "aperture = make_magellan_aperture(True)\n", "\n", "telescope_pupil = aperture(pupil_grid)\n", "\n", "imshow_field(telescope_pupil, cmap='gray')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The basic unit is `Coords` - by themselves, they are a number or a list of numbers with no units or coordinate system specified on their own.\n", "\n", "You can then make a `Grid` out of `Coords` along with a specified coordinate system, for example Cartesian, Polar or even Hexagonal, along with a way of specifying the spatial positions of the `Coords`.\n", "\n", "Finally there is a `Field`, which specifies the values on that `Grid` - so to plot something in HCIPy, you are plotting a `Field` that has a `Grid` associated with it.\n", "\n", "The `Field` is a one-dimensional list of values, but the associated `Grid` tells you the `(x,y)` or `(r, theta)` positions of the actual points. There are functions in HCIPy that handle the most used `Grid`s such as regularly spaced grids, and displays them.\n", "\n", "`make_pupil_grid()` did three things - it made a list of `Coords` to be put into a regularly-spaced grid, then made a `CartesianGrid` that tells us that the `Coords` are to be interpreted in a Cartesian coordinate system, and finally it's stored in `pupil_grid`. But we don't have any `Field` values associated with that `CartesianGrid` - so what's next?\n", "\n", "We now use a `Field` generator, called `make_magellan_aperture()`, which returns a function that you can then evaluate on any `Grid`, be it Cartesian or Polar. This is stored into a variable that is called `aperture`.\n", "\n", "We then run the function `aperture` on the `CartesianGrid` object `pupil_grid` to make a `Field` called `telescope_pupil` and we then display it as an image using the HCIPy function `imshow_field`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have the telescope pupil for the [Magellan 6.5m telescope](https://obs.carnegiescience.edu/Magellan) at Las Campanas Observatory in Chile. Let's immediately make the point spread function (PSF) for the telescope, and then talk about what we've done." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wavefront = Wavefront(telescope_pupil, 1)\n", "\n", "focal_grid = make_focal_grid(pupil_grid, 8, 16)\n", "\n", "prop = FraunhoferPropagator(pupil_grid, focal_grid)\n", "\n", "focal_image = prop.forward(wavefront)\n", "\n", "imshow_field(np.log10(focal_image.intensity / focal_image.intensity.max()), vmin=-5)\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to see what happens when we image a point source (such as a distant star) with a telescope that has this particular telescope pupil geometry.\n", "\n", "The function `Wavefront` assigns a wavelength of 1 to the `Field` called `telescope_pupil` and produces an object called `wavefront` with a new object type called `Wavefront`.\n", "\n", "We then make a `CartesianGrid` representing the output focal plane with `make_focal_grid()`, and the size of the image is measured in diffraction widths - the sampling is 8 pixels per diffraction width, and the half size of the image is 16 diffraction widths.\n", "\n", "We then need to do two more things - tell HCIPy how we want to propagate the field from the pupil plane to the focal plane, and then actually perform the calculation.\n", "\n", "The propagator is defined with `FraunhoferPropagator(pupil_grid, focal_grid)`, and then we carry out the calculation on the specific `wavefront` with `prop.forward(wavefront)` and the resultant `Wavefront` in the camera focal plane is `focal_image`.\n", "\n", "Next, we want to take a cut across this image to see what how the flux changes as a function of angular separation from the on-axis position in units of diffraction widths $(\\lambda/D)$.\n", "\n", "`focal_image` is a `Wavefront` object, which has several properties including `intensity`, so we use that:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "psf = focal_image.intensity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we want to know the size and shape of the `psf`, but it's stored as a 1D list of values. We call the `shaped` method to get a reshaped version of `psf`, which has the shape according to its grid, and then call `shape` to return a 2 element array with the dimensions of `psf`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(256, 256)\n" ] } ], "source": [ "psf_shape = psf.shaped.shape\n", "print(psf_shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then cut out the middle row from the image using `[:,psf_shape[0]//2]` remembering that we need to have shaped the `psf` first before doing the slicing, and then we normalise the slice by the peak value of the `psf` image." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "slicefoc = psf.shaped[:,psf_shape[0]//2]\n", "\n", "slicefoc_normalised = slicefoc / psf.max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we plot out the normalised slice. Note that HCIPy keeps track of the units and coordinates so that you don't have to propagate them yourself and risk making an error in the process - we get the units by taking the `x` values from the `focal_grid`, remembering to `reshape` them to a 2D array, and then slicing out one of the rows and using these values for the x axis of our plot:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-5, 0.1)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(focal_grid.x.reshape(psf_shape)[0,:], np.log10(slicefoc_normalised))\n", "plt.xlabel('Focal plane distance [$\\lambda/D$]')\n", "plt.ylabel('Normalised intensity [I]')\n", "plt.title('Magellan telescope PSF in diffraction units')\n", "plt.xlim(-10,10)\n", "plt.ylim(-5,0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've plotted up the monochromatic case, but now let's see the effect for broadening the range of wavelengths through our telescope - we adjust the wavelength in the `wavefront`, then calculate the intensity image and add them together for several different wavelengths. We pick 11 monochromatic PSFs over the fractional bandwidth:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bandwidth = 0.2\n", "\n", "focal_total = 0\n", "for wlen in np.linspace(1 - bandwidth / 2., 1 + bandwidth / 2., 11):\n", " wavefront = Wavefront(telescope_pupil, wlen)\n", " focal_total += prop(wavefront).intensity\n", " \n", "imshow_field(np.log10(focal_total / focal_total.max()), vmin=-5)\n", "\n", "plt.title('Magellan PSF with a bandwidth of {:.2f}'.format(bandwidth))\n", "plt.xlabel('Focal plane distance [$\\lambda/D$]')\n", "plt.ylabel('Focal plane distance [$\\lambda/D$]')\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }