{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Rayleigh-Sommerfeld (RS)\n", "According to Rayleigh-Sommerfeld approach, the field at a plane z from the mask, can be computed as\n", "\n", "$$E(\\mathbf{r},t)=ike^{-i\\omega t}\\iint E_{0}(\\xi,\\eta)cos\\theta\\frac{e^{ikR}}{R}d\\xi d\\eta,$$\n", "\n", "where $\\mathbf{r}=(x, y, z)$, $R=\\sqrt{(\\xi-x)^{2}+(\\eta-y)^{2}+{z}^{2}}$, and $cos\\theta=z/R.$\n", "\n", "This integral can be computed as a convolution,\n", "\n", "$$E(x,y,z)=E_{0}(\\xi,\\eta)*h(\\xi,\\eta;z),$$\n", "\n", "where the convolution kernel is\n", "\n", "$$h(\\xi,\\eta;z)=-\\frac{1}{2\\pi}\\frac{z}{R}\\left(ik-\\frac{1}{R}\\right)\\frac{e^{ikR}}{R},$$\n", "\n", "with $R=\\sqrt{\\xi^{2}+\\eta^{2}+{z}^{2}}.$\n", "\n", "\n", "In Diffractio, we have used the algorithm described in:\n", "\n", "**Shen, F. & Wang, A. Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula. Appl. Opt. 45, 1102–1110 (2006).**\n", "\n", "The algorithm can be applied to X, and XY schemes, and also in the propagated schemes: XZ and XYZ.\n", "\n", "The main characteristics of the algorithm are:\n", "- Propagation ocurrs between two parallel planes, whose distance between them is z. The results are more accurate when de distance between de planes increases. The function to perform Rayleigh-Sommerfeld approach is RS. There is a parameter which stores the quality parameter (self.quality). Also, it can be seen when invoquing to RS function. The parameter verbose, when it is True, shows the quality parameter.\n", "\n", "\n", "- The algorithm is programmed using two FFT and one IFFT. The size of the matrices is 2N x 2N, where N is the number of data involved in the analysis.\n", "- There is a quality parameter, described in self.quality, which allows us to determine whether the results is acceptable (quality parameter >1).\n", "- The size of the output matrices is equal to that of the input matrices. Nevertheless, higher size of the output fields can be obtained as the output field can be displaced from the center. This is programmed with parameter amplification, which size the amplification of the output field with respect to the input field. The computation time is proportional to the amplification.\n", "- The X and XZ schemes are accurate when the fields and masks are simmetrycal with respect to Z axis. That means that the lens in the X and XZ shcemes is a cylindrical lens.\n", "\n", "\n", "Now, let us show an example of usage of Rayleigh-Sommerfeld approach for the differente schemes:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from diffractio import np, mm, degrees, um" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## X scheme" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-05-01T22:59:18.340256Z", "start_time": "2020-05-01T22:59:16.547227Z" } }, "outputs": [], "source": [ "from diffractio.scalar_sources_X import Scalar_source_X\n", "from diffractio.scalar_masks_X import Scalar_mask_X" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-05-01T22:59:21.600123Z", "start_time": "2020-05-01T22:59:20.979949Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Good result: factor 33.64\n" ] }, { "data": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wavelength = 0.5 * um\n", "x0 = np.linspace(-0.25 * mm, 0.25 * mm, 1024 * 16)\n", "\n", "u0 = Scalar_source_X(x=x0, wavelength=wavelength, info=\"u0\")\n", "u0.plane_wave(A=1)\n", "t0 = Scalar_mask_X(x=x0, wavelength=wavelength, info=\"t0\")\n", "t0.slit(x0=0, size=300 * um)\n", "t0.draw(kind=\"intensity\")\n", "\n", "u1 = t0 * u0\n", "\n", "t2 = u1.RS(z=1 * mm, verbose=True)\n", "t2.normalize()\n", "t2.draw(kind=\"intensity\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "quality = [33.64442563]\n" ] } ], "source": [ "print(\"quality = {}\".format(t2.quality))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bad quality parameter\n", "\n", "When the quality parameter is < 1, then the field computed using the RS algorithm produces bad results:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "- Needs denser sampling: factor 0.13\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wavelength = 0.5 * um\n", "x0 = np.linspace(-0.5 * mm, 0.5 * mm, 512)\n", "\n", "u0 = Scalar_source_X(x=x0, wavelength=wavelength, info=\"u0\")\n", "u0.plane_wave(A=1)\n", "t0 = Scalar_mask_X(x=x0, wavelength=wavelength, info=\"t0\")\n", "t0.slit(x0=0, size=300 * um)\n", "t0.draw(kind=\"intensity\")\n", "\n", "u1 = t0 * u0\n", "\n", "t2 = u1.RS(z=0.1 * mm, verbose=True)\n", "t2.normalize()\n", "t2.draw(kind=\"intensity\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Amplification of the field\n", "\n", "The Rayleigh-Sommefeld implementation allows an amplification of the field since, sometimes, light diverges. Processing time increases approximately linearly with amplification number." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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fPY9Ahk2am5vR3t4OANi1axc++9nPQgiBlStXKpOxWltbsWvXLgwNDcFutyvXo7OzE0VFRSEeQVlZGbxeb8h1A/zDP9977z0lJCMr/DfeeAP19fXwer0YHBxUBCucEPT19aGqqipICIqLiw1j5aeddhrmzJkT9DtWV1cH9acMDAwoXo/6nmhoaIgqlDY6OoqcnBxs3LjRsA/h6aefxoYNG5CVlYWlS5dOuJ+AZxezEKQk6o673/72t4ZJzWS4QD2CRXtc+5CMjY3h7rvvRkNDQ8TQkJ4Q3HnnnVi5cqWuPUNDQ8jNzVVi4UNDQygvL1eEQC1Kao9Afo7X68XIyAi+8pWvYOPGjYpHIGPZ6slq8hw1NTVwuVzo7u5GWVlZUL+HbHl3dXXphj0aGxvxH//xH/jZz36Gu+66C4888ghuueUW/PrXv8bPfvYzzJ8/X4nvy+tRVVWFzs5OxSOQ32lgYAAzZsxAR0dHUF+C/B3U8wCkpzI4OIh3330XN954o7K/srJSEYKCgoKgyl1thxROwO+JFRYWGo7iWbFiBW6//fYgz04KqETPI/B4PJg+fTruvvtu03mOZL9QuMZJS0uL0rgxM/mNiQwLQQqizlNUW1sbcVSEegZqJA4dOoTe3l5dIdCGhrRCIIc3GqVVUE/gAvytw5KSEvT19WFsbCzIe5AtXo/Hg76+PpSWlgaFkDIyMoJCQ1rBs9ls6O/vV1q2bW1tSp+KrIC8Xi9KSkrQ2dmptLTl5xMRrrvuOnzrW9/CY489hr//+7/Hli1bcOmll+KXv/wlrr76anz1q18NusYdHR2GHsHo6Chqa2vR3t4e1Jegvr7yN5UCJVNUSJulR9DX16d4IVrkUNWKioqgzt5wo3jkca0QqD0CPSFwu92ora1Ff39/SL+KUWex2WSLFRUVAMwJwejoqOF8GGlLusNCkICEuzHNDHeLNnNpuMRmWluOHj2KRx99NOQBNCMEsvNXjvDRoh7xIyksLERvb69yTN1KlEMgtbNmAX+Fpw4Nab+T3W5Hd3e30rJtamrC3Llzg76znMHb1dWl9A3IDmpZJj8/HzabDdnZ2XjqqaeQk5ODrKwslJeXAzgxcay4uBiHDh1CZWUlurq6UFhYGDK0t6GhAbt371ZCN729vcjOzg4SHyD8hLLy8nLFI5BDXyXZ2dkYGRlBX18fnE5nkBiHy2lERBGFYGBgQFcI8vPz8fOf/zwkPGTU2g83d0UP9eACI6I9ZzrCQpCAhItZmr3xzQiBrFj0PAJpgzZNsmzV6wlBeXl5yPBRdYhDCoH689RCIysv9b7CwkKlhasWCTk8Uo4ukUNl1e/Vhobk+4QQihCUlZWhs7MTPT09mDJlSsg1cjgc6OzsRF5enpLorL293fRIq+nTp+PIkSMoLi7GsWPH4HQ60dnZGTQaSl7r2bNnY9u2bejs7FSGXeq16rWdxfJ7j42NKcNdtd6V/C4ylKYeJUREho0Beb20I7bUw24BY48gLy8vZKLh8PCw4TwZdaVtJnZvxiPgRZ4iw0KQZOTl5UUcTaGXwjocerN/5exRbT58OURRPSFJfqZ2HLl2GKScyKWtdDIyMpRRPpE8Aq3dg4ODQZko1ZWHFAK9kIfdbkdPTw/y8vLw5z//GV/84hcBnBASm80Gn88XJARdXV0oKSnBT37yE1x22WUmrqw/2+j999+vzGCV51FPhlO3+K+66iq89tpryM3NRXd3tyIEamGWnbter1d5rzwu01tLUVUjK/P29nZUVlYq+2VFr3edRkZGkJ2dHTSxTW/UkM/nQ3FxcchIory8PMUmiRQivbUY1PdurIQgkkfAncUsBAnH8PAwsrOzDY/rpXHQom0BRYqB6j1MsrKQLXKJbNVr3yNb5erPGhsbC2r9y/eqKx31xCe9cEZdXR0OHjyoCIG60pTn6ezsRFlZWZD9RKSEhmQFrEZ6BLm5uTj33HOxbNkyxR553Ov1Ijc3F11dXUrFXFJSgrKyMt28Ono4HA6UlZUpawPI88nx/loWL16MCy64QBEqbTjM6XTi2LFjuqEhIYSSaFCvj0BW5kePHlVi7BL5G/h8PthsNuU6q38ztRBoO6KJKKTCN/IIZGiqqKgoZK6Ax+NR7l0zsftYCAHAYsBCkGBEas3HMiYqb349cXn33XexbNkypUUuUXsEajtGRkaQlZWlnFPG0dVplmVlLsVhaGgI2dnZQdvaVr/dbg86pn5g5fs6OzuDEqpJ5CgkGZOXqPsIHA4H7rvvvpBKRwqB2iPQExyzSCGQ53E4HMo1U0NEuPfee0FEQTOFpX2FhYVob29HXl6ekitJfbyqqgqtra1BYTaZPFBW5qOjo7DZbEGfK0VVna9ICKFM0NOGhrSCrb5mErUQqAWivb0d1dXVWLp0KTZu3Bh0DvUkwskSAjPZVlMdFoIEI1I804xHoH3QI7V29B6mPXv2YP78+Zg7dy6am5uV/UZ9BNrP6OnpUTpM1WXUHY/Hjx9HeXm5si1bsdpzyRTQOTk5qKysVBLDSSGQlSFwovKQoSsiCsq8KSelyXH92opYCph6PQLpERw/fnzcQiBDQ1lZWXC5XMjNzdUN36iRn6+eSFdYWIju7m5kZmYGdZLL43LYZX9/vyKq+/fvR21tLRwOBwYGBkLEVl5LOQ/D4XAolbfM96Su5KWwyP4I9bVXhwZlBawNI27fvh1z587FsmXLsH379iA7tPmlImFm4Z5IQjDZCzglInEVAiI6l4h2E9E+Ivq+zvGpRPQ2EX1IRM1EdH487UkGImUeNdNHEO1wOD1xkcPt5syZg927dyv7ZUUhR6BItMNB9R4+aZd8eFtaWjBt2jSlQpcdnNrvWFxcjI6ODuTk5GD16tV44YUXlJBSV1eXbkxZHaZQJ1yTZYxagUNDQ3A4HEoYxeFwwOVyITs7GytWrBi3EBQUFCj9ELKVLc9vtG6xnlCoK63e3l4UFRUpx+T1nT17Nv72t78p73322WfxD//wD3A4HDh69GhQDqquri4UFRUpHoFskTc2NmLPnj3Ktvqekq8rKyuVSXXyumoT0UkhUDca2traMHXqVN0hpEbprI0ws0YHC0Fk4iYERGQD8DCA8wDMA/AlItImsf8BgOeEEIsAXAHgkXjZkyzIVrIRZjyCaAnnXssx+RK9RV16e3tDRu2Ee/ikEDQ1NWHJkiUhHsGZZ56Jt956SylfXl6OtrY25OTkYNq0aejq6lJa7c3NzWhsbFTKajtNAb+4akNHkYawqkNDch7CH//4x5CQilmISFlsSLZ6ZUWvbTFL9PpM1KE6tUegrlAbGhrQ3NysfOfh4WGlsm9tbQ1a63ft2rVYvXp1kEeQl5eHU045Bdu2bQtbMWsHEgBQvpf8nnl5eSGj0tTXUE8IYj3Uk4UgMvH0CJYB2CeEaBFCDAN4FsAaTRkBQD6hTgBH4mhPUtDW1oaqqirD42aEQNtCMvIQ1GPhtefUawECUOL66s9RV7RyX7iHT1Y6UkC0HsHSpUuxY8cOpXxRURGOHTum23+wY8cOzJo1K8ROrUcg7ZOegJEQaD0Gm80W845EeW1k4jyjoZtqO2XrXt1573K5QuZPAEB9fT2am5tDPEu73Y7Dhw8HCcGBAwfQ2NgYlLQvNzcXdXV1aG1tDfs76i3WU1lZqcwZkCOObDab6ZnF0XoEZtCbZ6KmoqICHR0dMf3MZCOeQjAFwGHVdmtgn5o7AfwjEbUCeB3At/RORETXE1ETETVFm/kx2di5c6fhqk4AQkZmmEF2GKqRM3WB6GYW67nz6g5u+Tl6nd7qSlbG7+W29AhycnKQmZkZFGt2Op1KaEhNRkYG9u7di5kzZwadHwiuMNVCIMMwRkIg14IwOh4LxsbGkJmZqXgGRkIjBUA9AkidJkMdGlL/xjU1Ndi/f3+IN6HnEcj3yntAHQrKyMgIWzHLfgR1KhIz2VnDhS69Xm/YUXPq+9YsXV1dId9Zzcknn4ytW7dGdc5Uw+rO4i8BeEoIUQvgfAC/JaIQm4QQjwkhlgghloQLm6QC6qF7eqjTARuhfb9eRa9uZeqlfIimFayewCY7RcNNatN28En71B3l6u+gFQL1+4eHh5VQlVxiEgDKysqUPPhqj0V2Bust+AIAU6ZMQU1NjeHxWCIr2dLSUtTX14ccV4em5Hc3Cg2p+zzkNSCioBa9VgjU11h+X3XFL0cNaYVAO9qstbVVmYyn9i6N7qFI95a0S29dBKP1psMhh8QaYbfb0z6VdWbkIuOmDYB6xZPawD411wI4FwCEEO8TkR1AGYDoVv5IISK1dsKt9WqE7ANQV8zRPFDyM41sU1c2y5Ytw+bNm011FktkaMRoxJQ2NFRbW4uPPvoIAPDEE08o5WTqA8A/jFIuSu5yuRQhWLlyJUZHRw1b/HfccQcAKEs/AjBMmz1e1Etp5uXl4eyzz9YtJzvmL7/8cqXyttvtSuWoDg1pxf73v/89AH9KkFNOOQUAdDuLJbLTVeYHAqCk6o7kEWzevFmZhyEnzMn3S6LJbiuREx3VHsJ40kWYeV7C5SJKB+L57bcAaCSiBiLKhr8zeK2mzCEAZwMAEc0FYAeQ2rGfMISbeq8mkhhoj+l5BNoHPNz51O/XK6euwKdOnRoxtqyNiTscDqxfvx6dnZ3K91eHG5xOJ9ra2oK8DunNXHPNNcp51J9ZWlqqVE433XSTUpmceuqpOO200yKGftTHv/KVrxiWGw/yfJEqtZ6eHhQVFeGss87CwoULAfh/+29/+9sAgIULFyqhIe1vfMUVVwDwV3BypJPdbsexY8cMJxv29/dj3bp1QbO0w9ko57TIUUBA8MADvXtFbw6DGrU9ep3o4TwUPfTmahiRzpPK4uYRCCF8RHQTgDcA2AD8txDiEyK6G0CTEGItgNsA/JqIboG/4/ifRBr/GpFWipI4nU7dkTBG6I0KitQpp30gw1UIbrdbyb0jl3LMz883TBWQlZUV5PIXFhbiV7/6lZL0TWtDQUEBjhw5olRg55xzDs466yxdO+RnEhH+/Oc/A0DQAjKS/Px83dxC6u+8aNEiw+OxoKGhIezAgNraWt374cEHHwQAvPPOO8o+o36eX//610pFKPtm1K1f9W/z9ttv48MPP8RDDz2k7At3n8j7YmxsTLHTaASadqayer/a21SHaIzu22g8gt7eXhQXF0csJ0UnXZPTxTM0BCHE6/B3Aqv3/VD1eieA0+NpQzJhNjmWTJRmVgj0Komenp6gB0R2omZlZYXEVGXct6KiQnc0kbpjWHZuEpHyXcrKyrB3716l0pEdm/IzioqK8P777+Ozn/2scm6Hw6H0hWRkZATNr7DZbLqtymjCBna7PWQyk5pp06Ypwz3jxcsvvxz2+Mcff2w6ZGEkBOp5CDk5OSExd7UQfPjhh3jvvfeUEJyc3aw+R1NTk9L6lzF8IYTicRkJgXoxIPVvJLOzygl+auHT+07RTjgz+0zJwQXpKgTpHRhLMCJNJpPIDlkjtHFXvYdTKwSNjY3Yu3cvgBOzhyWR0lpo+x9knh9Zodxwww1KzFqifUCXL1+ON998U9mWKRkkcihiOKLtSEz0uHA09o2MjESc46C9L7T5iP7617/itNNOU7YzMzMxPDwc9L5XX31VWWdBmx4biJzyQVuRqzvld+3aFeQVxsIjiFYI0pXEfhLSDLM3bbiHTa9C0CsvUx1LKisrlWF/2odVPdNXux5Ad3e3YX4kWUHk5OTA5/MFVRgy8ZiaVatWKa+zs7ODFm6Rq3CF44orrlDmFKQbjY2NuOqqqyKW0/apqH9nbae10ZwVo9AScKL/5+jRo0H3l1FoSD3aSS4AJNEb3x+tR2DWS0x3IYhraIiJDrMegXpkhhaXyxUSE9VzsVtaWpQORcDfufrpp58CCH1YjTyCVatW4e233w5JhaDXzaNtjUaa5HPSSScFXYuHH37YsKzk6quvjlgmVVmwYAEWLFgQsZx6lNWKFSuUORh66E0YMzP0UwiBdevW4Zxzzgk5rm3RqzvlBwYGgtZ5mDFjBt54442Q99fV1QXtk4kJ9QTCbOMqHjP2kwn2CBIIszdtuAlg6glWEj2PQE6ckhQVFSlr0GofVrVHoE1lcPDgwZD9RqgrkUhCsHTpUlxyySURz8mMn0suuUQZWqqHtnLU+42NfvfW1lbduRHaFr3aI9C23vUqZ73Q0MyZMw3X5Tb7TI1nomYqwUKQQETjERiFhj755BPMmxec0klPOPT6EbTrBkiMWkvh3Gnt+bXzEHp7e013djPWoG4cSMzO6h0eHg5ZUU5vgpq6j8BMpa0XGpo7dy527txpWN5MaIiFgEkYoukjMPIIWltblQlB6vJa4dCbfSzLaB/WSEMCzSAnR0n0+giYxEKbLkI9tyNa5GiycKGhcJMQJd3d3SGhz1mzZikDHbRE4xFwaIhJCKIJDRl5BEKIkNEmRssQqlG3zLStrvHET/XmDqhTLbNHkPhohUAvLGNWGGRjIlxoSDtUVY+RkZGQnFPZ2dmGSe2i6SNIZ4+AO4sTCLOZF8MJgV4rXZtLSC4soi2jHuut5xGYzR2jN/O5trYWPp9P2a6qqgpZLpFJLMrLy5U5A4B/SO94xVt6sXoegTq8qL1/1SusAaHrXkTCbGjIzEpnqQwLQQKh15rXI1xaX6NwjbpijiQ42uPy8yKtqKW2QWvfjTfeGGTD1q1bo84iyUwudrsd7733nrL9z//8zyG/2cjIiKmKVjZe3G53UIgwUnI/ub5BpAaSUSPF5/MFrWBnhJkFblIZDg2lCdpheuHcZSOhcLlcQStiAfoPoNH6BmqRYxFIDtS/k81mC2momE11Ilvcet5muLCleqCD3v2nZ6eZ/UwwLARJSrQ3eEVFRdCEsXCtOL3jQgi0traa6uDlFZ/Sh2j6tTo6OoJSiwCR+5/UQnD06NGw+aH0SOdWfjSwEKQJ6o6/SA+v0ezNZcuWhazZq7dQTbg+DCa1GBkZCQm96C0e43A4sHr16pD90QiB2eHVTPSwEKQYRi2goqIipZUebtEYACGtNsD/wF922WVKamdJTk5OSDrnzMzMsFk1mdTB4XCEdPrrZdGdP38+vva1r4XMS4g0ok0tBOqV5rSMZ70D5gTcWZxARHPTjmdxGpm3JVJuID07Dh48iC9+8YshoaH8/Hy0trYG7bv00ktx8cUXR2Ufk5w88sgjIR6B3v1VVFSEc889F08//XTQ/kj3vFoo+vv7Ee0KhRwaMgd7BAnERG9avWGhErULHskj0OPTTz/F9OnTQ/brDRUlIlMjNZjkJysrK6QyN5oPUF9fjwMHDkR1frMeATMx+GlNUvRaUpGWFZRxeyOPAPAvDKInSEZC8PnPfz5oHQGG+frXv46ampqQ/UZCIITAyMiI7j2dm5ur9G319fUZ9hHYbDbTQ0WZUPiqJQhyUXWz6FXW4UYDqRPHGZUTQuCGG25Ac3Mz7rrrrqBj3/zmN1FZWRnynjlz5pi2mUkPTj9df62p4uJifPe73w3Z//LLL+umRgHMdxbL9NcT6UxO5zASh4YShF27dmH27NkTOoeZ9WUjlauqqsK1114bsv/OO+/kjjdmQhARfvCDH4Tsv/nmm1FVVaUb1lSPQFMvdhSu3Hiprq7G4cOHJ3SOZIWFIEHYvn17VGvk6lXK4Sp4uawgYBxCcjgcGB4exg033GDaDoaZKF/96lfh9Xp1792CggJTFbxeiojR0dGoVnlbtmwZtmzZYrp8KsFCkCC0tLRgxowZpstrF4AHIk8Uk67v6Oiobiw13RfnYKzD6N7Ny8tTksGF80j1hMDsZDfJnDlzsGfPHtPlUwkWggRhbGwsqo6u4uLikHWLIwlBpNBOuifeYqxDL7004G/wyGSF4WL4eo2Yjo4O3X4tI2Reo3SEhSBJUS82LzGbvdSIgoKCCb2fYcZLbm6uYfzfDHqNmP379wctfWmGdO0wZiFIUhYtWoSmpqagfWZT7hrd7BdddBHuv//+mNjHMNHw6KOPYs2aNWHLhPNo9TyCTZs24dRTT42JfakODx9NUsrKyqIODUUiMzOTx2EzlmAmvXk4jNblzs7Ojuo86Toyjj2CJEY7IsJMaGjlypUYGhqKp1kME1PcbjfOPvvssGX0PIJoRgxJ0jU0xM2/JEbbejHjEfT19aG5uTmeZjFMTNm6dSu8Xm/YSpoHOkwM9giSGO2DEWkFseHhYZx22mn8wDBJx6JFi4KWOtWiJwTp2rofDywEKYQQImyMs7W1FZ/5zGewfv36yTOKYSbIW2+9hYULF+LYsWOGZWw2G0ZHR5XtSM8CEwyHhhIAn88Xkv/fDJmZmRgZGUFWVhaAyB1dp556KhobG/kBYZKKjIwMzJ8/P6ii10PtAUQ7mUySrs8GC0ECMN6bVk6/l+u4joyMhC3/zW9+czzmMYzlnHHGGTjjjDPCllELQW9vr+H6xuEgorDp3FOV9Pq2Ccp4h33m5+cr0+8/+ugjNDY2xto0hkkaampqlBQRLpfL1PraWtTZTtMJFoIEYCJCIIfM7d+/HyeffHKsTWOYpGHZsmXYtWsXgPEvYlNQUKA0rtIJU0JARKXjOTkRnUtEu4loHxF936DMZUS0k4g+IaLfjedzkp2JhIbkTdvd3Y2SkpJYm8YwSUNNTQ2OHj0KwL92wUSfqXTCrEfwARE9T0Tnk8neFCKyAXgYwHkA5gH4EhHN05RpBHA7gNOFEPMBfMe05SlELDwCFgIm3SkuLobL5QLgb1yNZ5GawsJCFoIwzALwGICrAOwlon8nolkR3rMMwD4hRIsQYhjAswC0yUS+BuBhIUQPAAghjMeHpTDjFQJ164XXc2XSHbvdrmQPDbeaWTgKCgrQ19cXa9MSHlNCIPysE0J8Cf7K+2oAm4noHSIyWrB2CgD1cj+tgX1qZgGYRUTvEdEHRHRulPanBOMVgsLCQvT29gLgcdMMo2YiQpCOHoGp4aOBPoJ/hN8j6ADwLQBrAZwC4HkADRP4/EYAKwHUAthARCcLIVyaz78ewPUAMHXq1HF+VOIy3j6C0tLSkMRzDMNwH0G0mA0NvQ+gEMBFQojVQog/CiF8QogmAI8avKcNQJ1quzawT00rgLVCiBEhxH4Ae+AXhiCEEI8JIZYIIZaUl5ebNDl5GG/rxel04vjx40oHGcOkO0SEo0ePYmBgYFzrG7AQhOcHQogfCSFa5Q4iuhQAhBA/NXjPFgCNRNRARNkAroDfi1DzEvzeAIioDP5QUYtp61MEo9WZIpGRkYF33nkHV111VRysYpjk5LrrrsP69evHFSrlzuLw6A39vD3cG4QQPgA3AXgDwC4AzwkhPiGiu4nowkCxNwB0EdFOAG8D+J4QosukTSmD0RrCZti0aVNUi94zTCojhMD8+fOxefPmcb0/Nzc3LZMyhq19iOg8AOcDmEJED6kOFQIwTgUYQAjxOoDXNft+qHotANwa+EtbxsbGxv3e7du347nnnouhNQyT3DgcDuzYsWNc75UpJtKNSM3QIwCaAFwIYKtqfz+AW+JlVLoxkdE+8+fPx9DQEA8dZRj4EzF6PB7Mnz/falOSirBCIITYAWAHET0TCPUwMWa8oxvUDA0NTWjhb4ZJFbKzs5VJZeMlKysLw8PDUS9zmcxECg09J4S4DMCHRKRe5YHgj+wsiKt1acCnn36KmTNnTugcp59+OnsEDANg9uzZmDFjxoTOMW3aNBw+fHjC50kmIoWGbg78vyDehqQrLpdrXCOG1FxyySUxsoZhkps1a7TJC6KnrKwMXV1daSUEYUcNCSHkAPVOAIeFEAcB5ABYCH//ATNBent7x5Uul2GY+FBWVobOzk6rzZhUzA4f3QDATkRTALwJ/wzjp+JlVDrBOYIYJrEoLi5GT0+P1WZMKmaFgIQQHgAXA3hECHEpAO6WjwHsETBMYpGfn592cwlMC0EgudyXAbwW2Bf9IrtMCOwRMExioU7vni6YFYKb4Z9J/KfA7ODp8M8EZiYID/1kmMQiHWcXm8prIITYAH8/gdxuAfDteBnFMAxjFTabDaOjo1abMamYTUM9C8B3AdSr3yOEOCs+ZjEMwzCThdlMZ8/Dn276cQDpJZUMwzApjlkh8Akh/iuulqQpvKoYwzBWY7az+BUiupGIqomoRP7F1bI0wZ+AlWEYxjrMegRXB/5/T7VPAJgeW3MYhmGYycbsqKHxrknMRIBDQwyTeKSbp24qNEREuUT0AyJ6LLDdSESciC4GpNsNxzDJQLo10Mz2ETwJYBjAaYHtNgA/jotFaQSLAMMwiYBZIZghhLgXwAgABPIOpZdkxgGPx4Pc3FyrzWAYRkN2djaGhoasNmPSMCsEw0TkgL+DGEQ0A0D6XKU40dnZifLycqvNYBhGQ3Fx8YRXOksmzArBnQD+AqCOiJ4B8BaA/xcvo9KFY8eOoaKiwmozGIbRkG6pqE0JgRDiTfhTUP8TgN8DWCKE4KRzE+TgwYOYOnWq1WYwDKNh6tSp2L9/v9VmTBpmRw29JYToEkK8JoR4VQjRSURvxdu4VGfnzp2YO3eu1WYwDKNhwYIFaG5uttqMSSPS4vV2ALkAyoioGCc6iAsBTImzbSmPz+dDVlaW1WYwDKMh3RaniTSh7AYA3wFQA2ArTghBH4Bfxs+s9CDdxiozTDKRTs9nWCEQQjwI4EEi+pYQ4heTZFPakE43GsMwiYvZFBO/IKLTELoewdNxsivl4clkDJP4CCHSosFmdmGa3wKYAWA7TqxHIACwEIyTwcFBnkzGMAmMw+GA1+uFw+Gw2pS4Yzb76BIA8wQ3Y2OGy+VCUVGR1WYwDGNAQUEB+vv700IIzE4o+xhAVTwNSTdYCBgmsSksLERfX5/VZkwKZj2CMgA7iWgzVKklhBAXxsWqNICFgGESG+kRpANmheDOeBqRjrhcLpSVlVltBsMwBrBHoEEI8U68DUk3XC4XZsyYYbUZDMMYUFBQgI6ODqvNmBTC9hEQ0buB//1E1Kf66yeiiFJJROcS0W4i2kdE3w9T7h+ISBDRkui/QnLCoSGGSWzYIwgghDgj8L8g2hMTkQ3AwwBWAWgFsIWI1gohdmrKFQC4GcCmaD8jmenr60NhYaHVZjAMY0A69RGYHTU0HpYB2CeEaBFCDAN4FsAanXI/AvBTAN442pJweL1e2O12q81gGMYAp9OJ3t5eq82YFOIpBFMAHFZtt0KTqI6IFgOoE0K8Fu5ERHQ9ETURUdPx48djb6kFpMuMRYZJVnJzc9Mm8Vw8hSAsRJQB4H4At0UqK4R4TAixRAixhFf0YhhmMkinhlo8haANQJ1quzawT1IA4CQA64noAIDlANamU4cxwzBMIhBPIdgCoJGIGogoG8AVANbKg0KIXiFEmRCiXghRD+ADABcKIZriaBPDMIxp0sUriJsQCCF8AG4C8AaAXQCeE0J8QkR3E1Haz0jmtE0Mk/iMjY1ZbcKkYHZm8bgQQrwO4HXNvh8alF0ZT1sSiUOHDmHKFF7gjWESnaKiInR3d6OkpMRqU+KKZZ3F6cy7776LM88802ozGIaJwIoVK7BhwwarzYg7LAQWsHfvXsyePdtqMxiGicC8efOwe/duq82IOywEFiCEQEYGX3qGSXTy8vLSYi4B10YMwzBhSIeRQywEDMMwYWAhYBiGYVIeFgKGYZg0h4VgkuGJZAzDJBosBJOM1+uFw+Gw2gyGYRgFFoJJpqenh1cmY5gkwm63Y3Bw0Goz4goLwSTjcrlQXFxstRkMw5iktLQUnZ2dVpsRV1gIJhleq5hhkovy8nKkyoJYRrAQTDI9PT3sETBMEsFCwMScY8eOgVdZY5jkgYWAiTlHjhxBTU2N1WYwDGOSiooKHDt2zGoz4goLwSTjdruRnZ1ttRkMw5jE6XSiq6vLajPiCgvBJOJ2u5Gbm2u1GQzDRAERITMzE0NDQ1abEjdYCCaRI0eOYNq0aVabwTBMlMyZMwf79++32oy4wUIwiXR0dKCqqspqMxiGiZL6+noWAiY2tLe3o7Ky0mozGIaJkvLy8pSeVMZCMIl0dHSwEDBMElJWVsZCwMSGzs5OlJWVWW0GwzBR4nQ60dvba7UZcYOFYBIZGxuDzWaz2gyGYaKEiFI6hTwLwSSSyjcSwzDJCwsBwzBMmsNCwDAMk+awEEwSQggQkdVmMAzDhMBCMEl0d3ejpKTEajMYhhkneXl5GBgYsNqMuMBCMEk0Nzdj7ty5VpvBMMw4mTVrFnbu3Gm1GXGBhWCS+Mtf/oKzzjrLajMYhhkn55xzDtauXWu1GXGBhWCSsNvtyMzMtNoMhmHGicPhSNl5QCwEk8DY2Bh3FDNMCpCZmQmfz2e1GTEnrkJAROcS0W4i2kdE39c5fisR7SSiZiJ6i4hSMkczp5ZgmNQgVZetjJsQEJENwMMAzgMwD8CXiGieptiHAJYIIRYAeAHAvfGyx0paW1tRW1trtRkMw0yQyspKdHR0WG1GzImnR7AMwD4hRIsQYhjAswDWqAsIId4WQngCmx8ASMnasq2tjYWAYVKAqqoqtLe3W21GzImnEEwBcFi13RrYZ8S1AP6sd4CIrieiJiJqSka3rLW1FVOmhPvqDMMkAywEcYSI/hHAEgD36R0XQjwmhFgihFhSXl4+ucbFgI6ODlRUVFhtBsMwE6SmpgZtbW1WmxFz4jmesQ1AnWq7NrAvCCL6PIA7APydECIlV4cWQqTssDOGSSdycnIwPDxstRkxJ54ewRYAjUTUQETZAK4AEDQbg4gWAfgVgAuFEMfiaIulcPpphmESmbgJgRDCB+AmAG8A2AXgOSHEJ0R0NxFdGCh2H4B8AM8T0XYiSrlpe9u2bePlKRkmhbDb7Thw4IDVZsQUSrbW6pIlS0RTU5PVZpjmhz/8Ie68805kZCREdwzDMBNkeHgY99xzD+666y6rTYkKItoqhFiid4xrpzhDRCwCDJNCZGdnp1y4l2sohmGYKEm1lDEsBHEk1VoNDMOkJiwEcaSjowNVVVVWm8EwTIwpKChAX1+f1WbEDBaCOLJ//340NDRYbQbDMDFmxowZaGlpsdqMmMFCEEcOHDiA+vp6q81gGCbGzJw5E/v27bPajJjBQhAnhoeH8cYbb2DGjBlWm8IwTIyZMWMGXnvtNYyMjFhtSkxgIYgTb775Jq677jpkZWVZbQrDMDEmNzcXl1xyCd5++22rTYkJLARxYteuXViwYIHVZjAMEyfOOOMMNDc3W21GTGAhiBP9/f0oLCy02gyGYeKE0+lMmZFDLAQMwzBpDgtBHOCJZAyTPqTC885CEAdaWlp4IhnDpAF1dXU4fPhw5IIJDgtBjBkZGcEPfvADXHrppVabwjBMnDnvvPPw3e9+N+kXq2EhiDG7du3CxRdfjGRcUpNhmOiora3FZZddhl27dlltyoRgIYgxW7duxeLFi602g2GYSeKkk07CRx99ZLUZE4KFIMa0tLRg+vTpVpvBMMwk0djYiL1791ptxoRgIYghBw8exPDwcMrlKmcYxhibzYbBwUG0tbVZbcq4YSGIIffeey+uuOIKq81gGGaSOe+883DnnXdabca4YSGIEV6vF9XV1Vi0aJHVpjAMM8l87nOfw+zZs+Fyuaw2ZVywEMSITZs24dRTT7XaDIZhLGLFihXYuHGj1WaMCxaCGPDuu+/igQcewOmnn261KQzDWMTixYvxzDPPJGUiOhaCGPD666/j3nvvRW5urtWmMAxjEVlZWfi3f/s3PPvss1abEjUsBBPE5/MhMzMTjY2NVpvCMIzFzJ07FxkZGRgbG7PalKhgIZgAhw8fxqpVq3DGGWdYbQrDMAnCqaeeissuuwy7d++22hTTsBBMgN/97nd4+umnsWrVKqtNYRgmQVi9ejUeeuihpAoRsRCMg9HRUfz7v/87enp6UFdXxxPIGIZRyMjIQE1NDQYHB3HfffclxbrGLATj4JVXXsGCBQtwyy23WG0KwzAJyg033IC6ujq88sorVpsSkUyrDUgmhBC49tprMTQ0hP/5n/9hT4BhGEMaGhpQX1+PK6+8En/605/w1FNPwWazWW2WLpRsq+ssWbJENDU1TfrnPvfcc2hpacHChQtx1llnIScnZ9JtYBgm+RgcHMSOHTvw+uuvY86cObjyyistsYOItgohlugdY48gAhs2bMDevXvR3t6OFStW4Mwzz7TaJIZhkgiHw4Hly5ejs7MTH330EX7zm99g2rRpWLlypdWmKbBHoIMQAq+88go2bdoEn8+HNWvWYNGiRXA4HHH9XIZhUhuPx4N169bh/fffR1ZWFs444wx84QtfmJQwcziPgIUAftdNCIFnnnkGIyMj2LZtG2bPno1vfOMbyMzMhN1uj+nnMQyT3gwMDKC3txdPPvkkOjs7UVZWhsrKSqxZswZOpzMuoWfLhICIzgXwIAAbgMeFED/RHM8B8DSAzwDoAnC5EOJAuHOORwhGR0dhs9mwe/du1NbW4g9/+AMaGhrw0ksvIT8/Hx6PBxkZGbj88ssxNjaG5cuXR3V+hmGYibBlyxZkZ2fj6aefhhAC2dnZGBwcxEUXXYQDBw7g8ssvR1tbGxobGzE2NoaMjOgHfFoiBERkA7AHwCoArQC2APiSEGKnqsyNABYIIb5ORFcA+HshxOXhznvSSSeJxx9/HHl5edizZw+qq6vR1NSE+vp6bNmyBbW1tWhpaYHdbofH41FcLiEEpk+fjiNHjuDiiy/GoUOHcP7552NwcBCFhYVxuQYMwzDjobe3F/n5+Vi7di3q6+vxwgsvYMqUKWhpaVHqNCJCbm4uBgcHMX36dLS2tmLp0qU4ePAgFi9ejPb2dsyaNQtutxvl5eWYOXOmJULwWQB3CiHOCWzfDgBCiP9QlXkjUOZ9IsoE0A6gXIQxqr6+XvziF79Af38/5syZg7a2NixZsgT79+/H0qVLcfjwYTQ0NMDr9XJMn2GYlGZwcBB2ux0tLS2YOnUqtmzZgvr6emzduhU1NTXYvXs3CgoK0N7ejuuvv96SUUNTABxWbbcC0CbsV8oIIXxE1AugFECnuhARXQ/g+sDmwIUXXpgISTzKoLEzwUk2e4HksznZ7AXY5skgUeydZnQgKYaPCiEeA/CY1XaoIaImI3VNRJLNXiD5bE42ewG2eTJIBnvjmWKiDUCdars2sE+3TCA05IS/05hhGIaZJOIpBFsANBJRAxFlA7gCwFpNmbUArg68vgTA/4brH2AYhmFiT9xCQ4GY/00A3oB/+Oh/CyE+IaK7ATQJIdYCeALAb4loH4Bu+MUiWUioUJUJks1eIPlsTjZ7AbZ5Mkh4e5NuQhnDMAwTWzgNNcMwTJrDQsAwDJPmsBCYgIi+RUR/I6JPiOhe1f7biWgfEe0monNU+88N7NtHRN+3xmqAiG4jIkFEZYFtIqKHAnY1E9FiVdmriWhv4O9q47PGxc77Ate3mYj+RERFqmMJfY0T1R4AIKI6InqbiHYG7t2bA/tLiGhd4LdeR0TFgf2G94cFttuI6EMiejWw3UBEmwK2/SEwAAVElBPY3hc4Xm+RvUVE9ELgPt5FRJ9NhuusIITgvzB/AD4H4K8AcgLbFYH/8wDsAJADoAHAp/B3itsCr6cDyA6UmWeB3XXwd9QfBFAW2Hc+gD8DIADLAWwK7C8B0BL4Xxx4XTyJtn4BQGbg9U8B/DQZrrHK/oSyR2VXNYDFgdcF8Kd8mQfgXgDfD+z/vup6694fFtl+K4DfAXg1sP0cgCsCrx8F8I3A6xsBPBp4fQWAP1hk728AXBd4nQ2gKBmus/xjjyAy3wDwEyHEEAAIIY4F9q8B8KwQYkgIsR/APgDLAn/7hBAtQohhAM8Gyk42PwfwzwDUowHWAHha+PkAQBERVQM4B8A6IUS3EKIHwDoA506WoUKIN4UQvsDmB/DPOZH2JvI1liSaPQAAIcRRIcS2wOt+ALvgn82/Bv6KC4H/FwVeG90fkwoR1QJYDeDxwDYBOAvAC4EiWpvld3kBwNlEk7t0IBE5AZwJ/yhICCGGhRAuJPh1VsNCEJlZAFYE3M53iGhpYL9eCo0pYfZPGkS0BkCbEGKH5lDC2qziGvhbS0By2Asknj0hBEImiwBsAlAphDgaONQOoDLwOlG+xwPwN2LGAtulAFyqxoLarqA0NQBkmprJpAHAcQBPBsJZjxNRHhL/OiskRYqJeENEfwVQpXPoDvivUQn8LtxSAM8R0fRJNE+XCDb/C/zhloQhnL1CiJcDZe4A4APwzGTaluoQUT6AFwF8RwjRp24wCyEEESXMGHIiugDAMSHEViJaabE5ZskEsBjAt4QQm4joQfhDQQqJdp21sBAAEEJ83ugYEX0DwB+FP7i3mYjG4E8iFS6FRqTUGhPGyGYiOhn+FsqOwANfC2AbES0LY3MbgJWa/esnw14JEf0TgAsAnB241oDF1zgKzKRTsQQiyoJfBJ4RQvwxsLuDiKqFEEcDIQkZ7kyE73E6gAuJ6HwAdgCF8K9pUkREmYFWv9ouaXMrWZemphVAqxBiU2D7BfiFIJGvczBWd1Ik+h+ArwO4O/B6FvwuHQGYj+COzBb4Ow0zA68bcKLjcL6F9h/Aic7i1QjupNoc2F8CYD/8HcXFgdclk2jjuQB2wp+CXL0/Wa5xQtmjsovgX/jpAc3++xDciXlvuPvDQvtX4kRn8fMI7iy+MfD6mwjuLH7OIls3ApgdeH1n4BonxXUWQrAQmPiBswH8D4CPAWwDcJbq2B3wjxbZDeA81f7z4R+h8Sn8oQ8r7VcLAQF4OGDXRwCWqMpdA39n7D4AX51kG/fBL7DbA3+PJtM1TkR7AjadAf9ggWbVtT0f/hj6WwD2wj8iriTS/WGR/WohmA5gc+BeeR4nRvHZA9v7AsenW2TrKQCaAtf6JfgbVElxnYUQnGKCYRgm3eFRQwzDMGkOCwHDMEyaw0LAMAyT5rAQMAzDpDksBAzDMGkOCwHDMEyaw0LAMAyT5rAQMEwUEJEjkHzQFoNzZRPRhkBqBIaxDBYChomOa+DPPTU60RMJf8rqtwBcPmGrGGYCsBAwjIbAql6rAq9/TES/UB3+MoCXVWXXE9GcwOtSIvpYdex5IvolEb1LRAeJ6Awi+i0R7SGiJwLFXgqck2Esg11Shgnl3wDcTUQV8OfwvxDwh3Lgz2VzQFV2Jvw5hgBgAfy5YyQnA3hfCHETEf0L/AuXrIQ/d30rEeXAn8NqKRjGQlgIGEaDEGJDYJWrWwGsVIWBygC4ZDkimgb/AkByAZUF8CcdAxHZ4V+u8AF5WgBPiMBCJUQ0CmBYCCGIaJiICoR/FTGGmXQ4NMQwGgJrOlTDX1GrK+dB+LNdShYiUPEH+Ixqez6AbSqRWAj/6mByKcYj4kTGxxwA3ph+CYaJAhYChlERWEDkGfjXlR0gImXtZuFfz9kWaO0D/tTD9sD7GgPvkaGhk+Ffl0CieAtQCQgRlQLoFEKMxOP7MIwZWAgYJgAR5QL4I4DbhBC7APwI/v4CNW/Cn+cf8FfoGUS0A8AP4V9c5+rAsZPhz/8vw0SOgJAAwaLwOQCvxfzLMEwU8HoEDBMFRLQYwC1CiKuIaC+AxROJ7RPRH+FfxWpPxMIMEyfYI2CYKBBCbAPwNhE5/ZsTEoFsAC+xCDBWwx4BwzBMmsMeAcMwTJrDQsAwDJPmsBAwDMOkOSwEDMMwaQ4LAcMwTJrDQsAwDJPmsBAwDMOkOf8fKxHnj1Xw+O4AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wavelength = 0.5 * um\n", "x0 = np.linspace(-0.125 * mm, 0.125 * mm, 1024 * 16)\n", "\n", "u0 = Scalar_source_X(x=x0, wavelength=wavelength, info=\"u0\")\n", "u0.spherical_wave(A=1, x0=0 * um, z0=-0.1 * mm)\n", "t0 = Scalar_mask_X(x=x0, wavelength=wavelength, info=\"t0\")\n", "t0.slit(x0=0, size=100 * um)\n", "t0.draw(kind=\"intensity\")\n", "\n", "u1 = t0 * u0\n", "\n", "u2 = u1.RS(z=1 * mm, amplification=6, verbose=False)\n", "u2.normalize()\n", "u2.draw(kind=\"intensity\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## XZ scheme" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from diffractio.scalar_fields_X import Scalar_field_X\n", "from diffractio.scalar_sources_X import Scalar_source_X\n", "from diffractio.scalar_masks_X import Scalar_mask_X\n", "from diffractio.scalar_masks_XZ import Scalar_mask_XZ" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time in RS= 2.6157617568969727. num proc= 8\r" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wavelength = 0.5 * um\n", "x0 = np.linspace(-100 * um, 100 * um, 1024)\n", "z0 = np.linspace(100 * um, 10 * mm, 512)\n", "\n", "u0 = Scalar_source_X(x=x0, wavelength=wavelength, info=\"u0\")\n", "u0.plane_wave(A=1)\n", "t0 = Scalar_mask_X(x=x0, wavelength=wavelength, info=\"t0\")\n", "t0.slit(x0=0, size=100 * um)\n", "\n", "u1 = t0 * u0\n", "\n", "uz = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength, info=\"t0\")\n", "uz.incident_field(u1)\n", "\n", "uz.RS(verbose=True)\n", "uz.draw(kind=\"intensity\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## XY scheme" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from diffractio.scalar_fields_XY import Scalar_field_XY\n", "from diffractio.scalar_sources_XY import Scalar_source_XY\n", "from diffractio.scalar_masks_XY import Scalar_mask_XY" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wavelength = 0.5 * um\n", "x0 = np.linspace(-100 * um, 100 * um, 1024)\n", "y0 = np.linspace(-100 * um, 100 * um, 1024)\n", "\n", "u0 = Scalar_source_XY(x=x0, y=y0, wavelength=wavelength, info=\"u0\")\n", "u0.plane_wave(A=1)\n", "\n", "t0 = Scalar_mask_XY(x=x0, y=y0, wavelength=wavelength, info=\"t0\")\n", "t0.square(r0=(0 * um, 0 * um), size=150 * um, angle=0 * degrees)\n", "\n", "u1 = t0 * u0\n", "\n", "u2 = u1.RS(z=500 * um)\n", "\n", "u2.draw(kind=\"intensity\", has_colorbar=\"vertical\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## XYZ Scheme\n", "\n", "We perform the XYZ field distribution by a for loop. Then the computing time and the storing size is proportional to the number of z planes used in the z parameter." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from diffractio.scalar_fields_XYZ import Scalar_field_XYZ" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time in RS= 5.383280992507935. num proc= 1\n" ] } ], "source": [ "wavelength = 0.5 * um\n", "x0 = np.linspace(-100 * um, 100 * um, 256)\n", "y0 = np.linspace(-100 * um, 100 * um, 256)\n", "z0 = np.linspace(500 * um, 2 * mm, 64)\n", "\n", "u0 = Scalar_source_XY(x=x0, y=y0, wavelength=wavelength, info=\"u0\")\n", "u0.plane_wave(A=1)\n", "\n", "t0 = Scalar_mask_XY(x=x0, y=y0, wavelength=wavelength, info=\"t0\")\n", "t0.square(r0=(0 * um, 0 * um), size=150 * um, angle=0 * degrees)\n", "\n", "u1 = t0 * u0\n", "\n", "uz = Scalar_field_XYZ(x=x0, y=y0, z=z0, wavelength=wavelength)\n", "uz.incident_field(u1)\n", "uz.RS(verbose=True)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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