propagation_example_01.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# SIMEX notebook to demonstrate setting up a Gaussian wavefront using the SimEx Calculator \"GaussPhotonSource\".\n",
    "\n",
    "In this notebook, we will demonstrate how to propagate a simple Gaussian wavefront between two planes through vacuum. This is the simplest case of coherent wavefront propagation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'/gpfs/exfel/data/user/grotec/Codes/eucall-software/simex_notebooks'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pwd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "# Import all SimEx modules\n",
    "from SimEx.Calculators.WavePropagator import WavePropagator\n",
    "from SimEx.Calculators.GaussianPhotonSource import GaussianPhotonSource\n",
    "from SimEx.Parameters.WavePropagatorParameters import WavePropagatorParameters\n",
    "from SimEx.Parameters.GaussWavefrontParameters import GaussWavefrontParameters\n",
    "\n",
    "from SimEx.Utilities.Units import electronvolt, meter, joule, radian\n",
    "import numpy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup the initial wavefront\n",
    "We first create a wavefront with a Gaussian intensity distribution. To this end, we use the `GaussianPhotonSource` Calculator and it's corresponding parameter class, the `GaussWavefrontParameters`. Looking up the documentation of these two classes gives us the information needed to create the instances:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mInit signature:\u001b[0m\n",
       "\u001b[0mGaussWavefrontParameters\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mphoton_energy\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mpulse_energy\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mphoton_energy_relative_bandwidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mnumber_of_transverse_grid_points\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mnumber_of_time_slices\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mbeam_diameter_fwhm\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mdivergence\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0mz\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;31mDocstring:\u001b[0m      Abstract class for all calculator parameters.\n",
       "\u001b[0;31mInit docstring:\u001b[0m\n",
       ":class GaussWavefrontParameters: Encapsulates the parameters of a photon\n",
       "beam with Gaussian beam profile, Gaussian energy spectrum, and Gaussian\n",
       "temporal structure.\n",
       "\n",
       ":param photon_energy: The mean photon energy in units of electronvolts (eV).\n",
       ":type photon_energy: PhysicalQuantity\n",
       "\n",
       ":param photon_energy_relative_bandwidth: The relative energy bandwidth\n",
       ":type photon_energy_relative_bandwidth: float (>0.0).\n",
       "\n",
       ":param beam_diameter_fwhm: Beam diameter in units of metre (m).\n",
       ":type beam_diameter_fwhm: PhysicalQuantity\n",
       "\n",
       ":param pulse_energy: Total energy of the pulse in units of Joule (J).\n",
       ":type pulse_energy: PhysicalQuantity\n",
       "\n",
       ":param divergence: Beam divergence angle in units of radian (rad).\n",
       ":type divergence: PhysicalQuantity\n",
       "\n",
       ":param number_of_transverse_grid_points: The number of grid points in both horizontal (x) and\n",
       "                                         vertical (y) dimension transverse to the beam direction.t\n",
       ":type  number_of_transverse_grid_points: int\n",
       "\n",
       ":param number_of_time_slices: The number of time slices.\n",
       ":type number_of_time_slices: int\n",
       "\n",
       ":param z: The position of the pulse in the beam direction (z).\n",
       ":type z: PhysicalQuantity\n",
       "\n",
       ":param kwargs: Key-value pairs to be passed to the parent class constructor.\n",
       ":type kwargs: dict\n",
       "\u001b[0;31mFile:\u001b[0m           /gpfs/exfel/data/user/grotec/Codes/eucall-software/simex_platform/develop/Sources/python/SimEx/Parameters/GaussWavefrontParameters.py\n",
       "\u001b[0;31mType:\u001b[0m           ABCMeta\n",
       "\u001b[0;31mSubclasses:\u001b[0m     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "GaussWavefrontParameters?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mInit signature:\u001b[0m \u001b[0mGaussianPhotonSource\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparameters\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minput_path\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moutput_path\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;31mDocstring:\u001b[0m      :class GaussianPhotonSource: Class representing a x-ray free electron laser photon source.\n",
       "\u001b[0;31mInit docstring:\u001b[0m\n",
       ":param parameters : Photon source parameters.\n",
       ":type parameters: PhotonBeamParameters\n",
       "\n",
       ":param output_path: The path where to save output data.\n",
       ":type output: str, default FELsource_out.h5\n",
       "\u001b[0;31mFile:\u001b[0m           /gpfs/exfel/data/user/grotec/Codes/eucall-software/simex_platform/develop/Sources/python/SimEx/Calculators/GaussianPhotonSource.py\n",
       "\u001b[0;31mType:\u001b[0m           ABCMeta\n",
       "\u001b[0;31mSubclasses:\u001b[0m     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "GaussianPhotonSource?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first describe the wavefront parameters which will then be used to create the wavefront itself:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "wavefront_parameters = GaussWavefrontParameters(photon_energy=8.0e3*electronvolt,\n",
    "                                                photon_energy_relative_bandwidth=1e-3,\n",
    "                                                beam_diameter_fwhm=1.0e-4*meter,\n",
    "                                                pulse_energy=2.0e-6*joule,\n",
    "                                                number_of_transverse_grid_points=400,\n",
    "                                                number_of_time_slices=12,\n",
    "                                                z=100*meter,\n",
    "                                                )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we use these`wavefront_parameters` to initialize the Photon Source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "photon_source = GaussianPhotonSource(wavefront_parameters, input_path=\"/dev/null\", output_path=\"initial_wavefront.h5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's calculate the initial wavefront and visualize it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "146.22875114783653\n"
     ]
    }
   ],
   "source": [
    "photon_source.backengine()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can retrieve the wavefront data from the calculator:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "wavefront = photon_source.data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's visualize the wavefront using the WPG utilities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from wpg import wpg_uti_wf as wpg_utils"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First plot the intensity distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R-space\n",
      "(400,) (400,)\n",
      "FWHM in x = 1.147e-04 m.\n",
      "FWHM in y = 1.147e-04 m.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wpg_utils.plot_intensity_map(wavefront)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot intensity distribution in q-space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Q-space\n",
      "{'fwhm_x': 6.657123479604694e-07, 'fwhm_y': 6.657123479604694e-07}\n",
      "Q-space\n",
      "(400,) (400,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wpg_utils.plot_intensity_qmap(wavefront)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the power as a function of time integrated over the transverse dimensions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "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 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number of meaningful slices: 7\n",
      "Pulse energy 2e-06 J\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1059337216.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "wpg_utils.integral_intensity(wavefront)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the power spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import wpg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the sampling quality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WAVEFRONT SAMPLING REPORT\n",
      "+----------+---------+---------+---------+---------+---------+---------+---------+\n",
      "|x/y       |FWHM     |px       |ROI      |R        |Fzone    |px*7     |px*10    |\n",
      "+----------+---------+---------+---------+---------+---------+---------+---------+\n",
      "|Horizontal|1.147e-04|6.386e-06|2.548e-03|1.772e+02|1.196e-04|4.470e-05|6.386e-05|\n",
      "|Vertical  |1.147e-04|6.386e-06|2.548e-03|1.772e+02|1.196e-04|4.470e-05|6.386e-05|\n",
      "+----------+---------+---------+---------+---------+---------+---------+---------+\n",
      "\n",
      "Horizontal Fresnel zone extension NOT within [7,10]*pixel_width -> Check pixel width.\"\n",
      "Vertical Fresnel zone extension NOT within [7,10]*pixel_height -> Check pixel width.\"\n",
      "Horizontal ROI > 3* FWHM(x) -> OK\n",
      "Horizontal ROI > 3* FWHM(y) -> OK\n",
      "Focus sampling: FWHM > 10*px\n",
      "\n",
      "END OF REPORT\n"
     ]
    }
   ],
   "source": [
    "print(wpg_utils.check_sampling(wavefront))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ok, we're happy with our initial wavefront and will now proceed to setup the beamline. Our beamline will consist just of a stretch of vacuum over 10 m distance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Estimate the beam size after 100 m propagation through empty space\n",
    "Before we launch the numerical propagation machinery, let's estimate the beam size to be expected after propagating through 10 m of vacuum. \n",
    "\n",
    "The beam waist size (rms width of the E-field distribution, or distance from beam axis where intensity drops to $1/e^2$ of its on-axis value) is given by the expression\n",
    "\n",
    "$ w(z) = w_0 \\sqrt{1 + \\left(\\frac{z}{R}\\right)^2}$, with the Rayleigh length $R = \\frac{\\pi w_0^2}{\\lambda}$, $\\lambda$ is the central wavelength of the laser (ca,. 0.15 nm at 8 keV.)\n",
    "\n",
    "Our Gaussian source distribution has a FWHM of $10^{-4} m$. The FWHM and the beam waist radius as defined above are related to each other through $\\mathrm{FWHM}(z) = \\sqrt{2 \\ln 2} w(z) \\simeq 1.177 w(z)$\n",
    "\n",
    "\n",
    "Beam waist at z=0: $w_0 = 100\\,\\mathrm{\\mu m} / 1.177 \\simeq 84.9\\,\\mathrm{\\mu m}$.  \n",
    "The Rayleigh length for our Gaussian beam is $R = \\frac{\\pi w_0^2}{0.15 \\mathrm{nm}} \\simeq 151\\,\\mathrm{m}$.\n",
    "\n",
    "At $z=100\\,\\mathrm{m}$, we therefore expect a FWHM of $100\\,\\mu\\mathrm{m}\\cdot\\sqrt{1.+\\left(100/151\\right)^2} \\simeq 119.9 \\mu\\mathrm{m}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For numerical reasons, we have to set the radius of curvature to a finite value. Here we choose to set it to a value corresponding approximately to a distance of 1 m from the source position, $z = 1\\,\\mathrm{m}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup the beamline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "from wpg import Beamline, optical_elements, srwlib\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "beamline = Beamline()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "free_space = optical_elements.Drift(_L=99, _treat=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "free_space_propagation_parameters = optical_elements.Use_PP(semi_analytical_treatment=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "beamline.append(free_space, free_space_propagation_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<wpg.srw.srwlib.SRWLWfr at 0x2af03f55c4d0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "srwlib.srwl.SetRepresElecField(wavefront._srwl_wf, 'f')\n",
    "beamline.propagate(wavefront)\n",
    "srwlib.srwl.SetRepresElecField(wavefront._srwl_wf, 't')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R-space\n",
      "(400,) (400,)\n",
      "FWHM in x = 1.282e-04 m.\n",
      "FWHM in y = 1.282e-04 m.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wpg_utils.plot_intensity_map(wavefront)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is $\\mathrm{FWHM} = 128.2\\,\\mathrm{\\mu m}$ at $z=100\\,\\mathrm{m}$. Considering that the FWHM is measured by counting pixels in the intensity profile, this is in rather good agreement with the analytical calculation above which yielded $119\\,\\mathrm{\\mu m}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Propagation through a pinhole\n",
    "We will now put a pinhole aperture into the beam and observe the intensity distribution of our beam behind the aperture.\n",
    "\n",
    "The aperture is another optical element from `wpg.optical_elements'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from wpg.optical_elements import Aperture"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at the documentation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mSignature:\u001b[0m \u001b[0mAperture\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0map_or_ob\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mDx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mDy\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1e+23\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;31mDocstring:\u001b[0m\n",
       "Defining an aperture/obstacle propagator: A wrapper to a SRWL function SRWLOptA()\n",
       "\n",
       ":param shape:    'r' for rectangular, 'c' for circular\n",
       ":param ap_or_ob:  'a' for aperture, 'o' for obstacle\n",
       ":param Dx, Dy:   transverse dimensions [m]; in case of circular aperture, only Dx is used for diameter\n",
       ":param x, y:     transverse coordinates of center [m]\n",
       ":return: opAp  - aperture propagator, ``struct SRWLOptA``\n",
       "\u001b[0;31mFile:\u001b[0m      ~/Projects/dot.conda/envs/simex/lib/python3.7/wpg/optical_elements.py\n",
       "\u001b[0;31mType:\u001b[0m      function\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Aperture?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "pinhole = Aperture(shape='c', \n",
    "                   ap_or_ob='a',\n",
    "                   Dx=50.0e-6,\n",
    "                   x=0.0,\n",
    "                   y=0.0,\n",
    "                   )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "pinhole_propagation_parameters = optical_elements.Use_PP(semi_analytical_treatment=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "beamline.append(pinhole, pinhole_propagation_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<wpg.srw.srwlib.SRWLWfr at 0x2ab55545cf50>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "srwlib.srwl.SetRepresElecField(wavefront._srwl_wf, 'f')\n",
    "beamline.propagate(wavefront)\n",
    "srwlib.srwl.SetRepresElecField(wavefront._srwl_wf, 't')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R-space\n",
      "(400,) (400,)\n",
      "FWHM in x = 5.343e-05 m.\n",
      "FWHM in y = 5.343e-05 m.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wpg_utils.plot_intensity_map(wavefront)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "beamline.append(free_space, free_space_propagation_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<wpg.srw.srwlib.SRWLWfr at 0x2ab5572d5250>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "srwlib.srwl.SetRepresElecField(wavefront._srwl_wf, 'f')\n",
    "beamline.propagate(wavefront)\n",
    "srwlib.srwl.SetRepresElecField(wavefront._srwl_wf, 't')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R-space\n",
      "(400,) (400,)\n",
      "FWHM in x = 3.211e-04 m.\n",
      "FWHM in y = 3.211e-04 m.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wpg_utils.plot_intensity_map(wavefront)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate the FWHM of the central diffraction peak and the position of the first diffraction side maximum. Compare your results with the simulated experiment. \n",
    "### Pinhole of size 50 $\\mu$m.\n",
    "### Pinhole of size 10 $\\mu$m.\n",
    "### Circular disk of 50 $\\mu$m.\n",
    "### Circular disk of 10 $\\mu$m.\n",
    "### Confirm Babinet's principle. Calculate the ratio of integrated intensities between diffraction from an aperture and from the circular disk."
   ]
  },
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   "source": [
    "## Solutions \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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