{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Flux - All About\n", "\n", "This document gives detailed examples about flux calculations in OSCARS.\n", "\n", "Any of these can be run in multi-threaded, GPU, or MPI mode. Results from running on separate nodes on grid/cloud computing can be combined.\n", "\n", "## Polarization\n", "\n", "One can select which polarization to compute. The default is 'all' polarizations. One may also specify the *polarization* parameter as:\n", "* 'linear-horizontal' or 'lh'\n", "* 'linear-vertical' or 'lv'\n", "* 'circular-right' or 'cr'\n", "* 'circular-left' or 'cl'\n", "\n", "One may alternatively specify the angle of polarization of interest with respect to the horizontal direction as (for instance for 45 degrees):\n", "* angle=45. * osr.pi() / 180.\n", "\n", "Calculating polarization requires a definition of the horizontal and vertical directions. The defaults for these assume the beam is in the +z direction with +x being the horizontal direction. It is possible to change these definitions with the parameters *horizontal_direction* and *propogation_direction*" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OSCARS v2.1.1 - Open Source Code for Advanced Radiation Simulation\n", "Brookhaven National Laboratory, Upton NY, USA\n", "http://oscars.bnl.gov\n", "oscars@bnl.gov\n" ] } ], "source": [ "# matplotlib plots inline\n", "%matplotlib inline\n", "\n", "# Import the OSCARS SR module\n", "import oscars.sr\n", "\n", "# Import OSCARS plots (matplotlib)\n", "from oscars.plots_mpl import *" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU is not available: Setting gpu global setting to 0.\n" ] } ], "source": [ "# Create a new OSCARS object. Default to 8 threads and always use the GPU if available\n", "osr = oscars.sr.sr(nthreads=8, gpu=1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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lJI2gNj49V1V0YzlJ7O5RlBcYj4pmBkRFNGmNF5kHsZzEPMVPeyrXaNz3lIFi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# For these examples we will make use of a simple undulator field\n", "osr.add_bfield_undulator(bfield=[0, 1, 0], period=[0, 0, 0.042], nperiods=31)\n", "\n", "# Plot the field\n", "plot_bfield(osr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Beam\n", "\n", "Add a basic beam somewhat like NSLS2. Filament beam for simple studies." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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tj9htgDy3wx919OjOQXG8Xm6C8HgUcG9d5rBFVkVVxJmZ/2yr0l0LTxdYIjJ1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\nMJ3rVlELYudKFPy5k+Urbn3DPEx2QVAKog0enfCR70ctmyQSBpYIME0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Add a basic electron beam with zero emittance\n", "osr.set_particle_beam(energy_GeV=3,\n", " x0=[0, 0, -1],\n", " current=0.500)\n", "\n", "# You MUST set the start and stop time for the calculation\n", "osr.set_ctstartstop(0, 2)\n", "\n", "# Plot trajectory\n", "osr.set_new_particle()\n", "plot_trajectory_position(osr.calculate_trajectory())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectrum\n", "\n", "Calculate the spectrum so we can pick what energy we want to look at in the 2D flux maps" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Evenly spaced spectrum in an energy range\n", "spectrum = osr.calculate_spectrum(obs=[0, 0, 30], energy_range_eV=[200, 260], npoints=500)\n", "plot_spectrum(spectrum)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flux on Rectangular surface\n", "\n", "First let's look at a simple flux on a rectangular surface" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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NnuN8x6iCdGljqzRsIGRQKsXBkamSMerCJqS0yyXEGFXCyVibYKYSTo5q+ktE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\nqVtyRvtUSeRGhZFyQSJBCYkcc1e0RvW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate flux on rectangular surface\n", "# Here we essentially create a rectanglular surface in the XY plane, then translate\n", "# it 30m downstream\n", "flux = osr.calculate_flux_rectangle(plane='XY',\n", " energy_eV=235,\n", " width=[0.01, 0.01],\n", " npoints=[101, 101],\n", " translation=[0, 0, 30])\n", "plot_flux(flux)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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FREnv3yqEskWeo7pUp8cWuSlHwujH3vsiQ3/UkD/uBZNb1OW4ZpfiGWBRRFrADuDGNftP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\nyhDTA9P4RR3VE2uQZ1Z17cNG2kw28rqbBVW0M2m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k2DGUGDvQoekdK9BmzlqR7pT/Ewmh5Z0ivuIPiudCpvjCpOj2WTmdVQsqzIs1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate linear horizontal and linear vertical polarizations\n", "flux = osr.calculate_flux_rectangle(plane='XY',\n", " energy_eV=235,\n", " width=[0.01, 0.01],\n", " npoints=[101, 101],\n", " translation=[0, 0, 30],\n", " polarization='lh'\n", " )\n", "plot_flux(flux)\n", "\n", "flux = osr.calculate_flux_rectangle(plane='XY',\n", " energy_eV=235,\n", " width=[0.01, 0.01],\n", " npoints=[101, 101],\n", " translation=[0, 0, 30],\n", " polarization='lv'\n", " )\n", "plot_flux(flux)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multi-particle flux\n", "\n", "### Non-zero emittance beam" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Add a basic electron beam with zero emittance\n", "osr.set_particle_beam(type='electron',\n", " energy_GeV=3,\n", " x0=[0, 0, -1],\n", " current=0.500,\n", " sigma_energy_GeV=0.001*3,\n", " beta=[1.5, 0.8],\n", " emittance=[0.9e-9, 0.008e-9])\n", "\n", "# You MUST set the start and stop time for the calculation\n", "osr.set_ctstartstop(0, 2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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mi/37Z4vtZv78Gs5D0nnmfm6M+06kR6GmU4l+kbB8iWO/BHDJwmKULREM5arF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\nvW29a0Va1SAIgjrUVCl9KpW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FX9QN4vDXuojsMwsmRCiVYNz8GvC99McOWRTP\ngyT9VI8e6mrOAC5cVfZh4AxJvwKsmNnfkUWVPUzSY91xxwFfTs7eV5L5Xqo4DrgSOkNhO8zs9rTP\nG5ggCEqIyY/BtkbZuu8fH2TSnbbQYm1BMCpCqQTbnRZw8CCTH4E5oF11fBBsJ0KpBEEQBCMjlEoQ\nBEEwMsKoBEEQBCMjjEoQBEEwMsKoBEEQBCMjjEoQBEEwMsKoBEEQBCMjjEoQBEEwMsKoBEEQBCPj\n/weXWX70BXLNCwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate flux on rectangular surface\n", "# Here we can set nparticle equal to the number of desired particles to use\n", "flux = osr.calculate_flux_rectangle(plane='XY',\n", " energy_eV=235,\n", " width=[0.01, 0.01],\n", " npoints=[101, 101],\n", " translation=[0, 0, 30],\n", " nparticles=3)\n", "plot_flux(flux)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }