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📄 afterburner2.inp

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afterburner2{High-energy electron bunch enters a quiet plasma in cylindrical geometry --Modeling the SLAC "afterburner" concept of Tom Katsouleas.This input file includes the effects of electron-impact ionizationand elastic scattering by the plasma electrons AND the beam electrons.The secondary electrons are treated as the same species as the plasmaelectrons, so that they further ionize the lithium.This simulation models a beam-plasma wake-field accelerator:a)  The background plasma is pre-ionized.  Ions are assumed stationary.b)  Beam density exceeds electron plasma density, so the beam "blows out"    plasma electrons near the symmetry axis.c)  The electron beam is Gaussian in z and r.e)  The electron beam is overfocussed by these fields and so executes    betatron oscillations;  however, the focussing force varies axially.Moving window:a)  Once the electron beam has entered the grid and is close to the far    edge of the simulation region, a moving window algorithm is invoked    so that the beam can be modeled for long times.Boundary conditions:a)  The simulation region must be bounded by either conductors or    insulators, in order to capture lost particles.b)  Conductors were chosen, to avoid any charge build up.c)  The choice of conducting boundary conditions means that electric    fields parallel to the boundaries are forced to zero;  however,    fields near the boundaries of the simulation must be small anyway    to accurately model a semi-infinite plasma, so this is OK.}// Define variables that can be used throughout this input file.Variables{// First, define some useful constants.	pi = 3.14159	speedOfLight = 2.998e+08	unitCharge = 1.602e-19	electronCharge = -1 * unitCharge	electronMass = 9.1095e-31	electronMassEV = electronMass * speedOfLight * speedOfLight / unitCharge	ionCharge = unitCharge	unitMassMKS = 1.6606e-27	lithiumMassNum = 6.942	lithiumMass = unitMassMKS * lithiumMassNum// Next, define the parameters of the high-energy electron beam.	beamEnergyEV = 50.0e+09	beamTempEV = 0.0	thermalBeamSpeedEV = 0.5 * beamTempEV	totalNumBeam = 2.0e+10	totalBeamCharge = totalNumBeam * electronCharge	rmsBeamRadius = 1.e-05	rmsBeamLength = 4.e-05	rmsBeamTime = rmsBeamLength / speedOfLight	radialCutoffFac = 3	axialCutoffFac = 3	totalBeamRadius = radialCutoffFac * rmsBeamRadius	totalBeamLength = 2 * axialCutoffFac * rmsBeamLength	beamAspectRatio = totalBeamLength / totalBeamRadius  totalBeamArea = pi * totalBeamRadius * totalBeamRadius  rmsBeamVolume = pi * rmsBeamRadius * rmsBeamRadius * rmsBeamLength//	rmsBeamEmittanceNormPiMRad = 1.25e-04// Define the number of grids in R and Z	lengthOverRadiusAspectRatio = 6	simRadiusOverBeamRadius = 8	numRgridsAcrossBeam = 8	numZgridsAcrossBeam = numRgridsAcrossBeam * beamAspectRatio	numRgrids = numRgridsAcrossBeam * simRadiusOverBeamRadius	numZgrids = numRgrids * lengthOverRadiusAspectRatio	numCells = numRgrids * numZgrids// Number of beam particles	numBeamPtclsPerCell = 1000	numBeamCells = numRgridsAcrossBeam * numZgridsAcrossBeam	numBeamPtcls = numBeamPtclsPerCell * numBeamCells	beamNumRatio = totalNumBeam / numBeamPtcls// Intermediate calculations for modeling Gaussian shape of the beam.	invSigRsq = 1.0 / ( rmsBeamRadius * rmsBeamRadius )	invSigZsq = 0.5 / ( rmsBeamLength * rmsBeamLength )	invSigTsq = invSigZsq * speedOfLight * speedOfLight// Calculate the size of the simulation region, grid spacings, time step.// We are assuming the same grid size in both z and r	  maxRadiusMKS = simRadiusOverBeamRadius * totalBeamRadius	rGridSize = maxRadiusMKS / numRgrids	zGridSize = rGridSize	maxLengthMKS = numZgrids * zGridSize	timeStep = 0.43 * rGridSize / speedOfLight// This is the desired delay time before the moving window algorithm activates.	movingWindowDelay = 0.97 * maxLengthMKS / speedOfLight// Calculate peak currents for defining emission of the high-energy beam.  peakCurrentDensity=totalBeamCharge*speedOfLight/rmsBeamVolume/sqrt(2.*pi)	peakCurrent = peakCurrentDensity * totalBeamArea	pulseLengthSec = totalBeamLength / speedOfLight  oneHalfPulse = pulseLengthSec/2.  oneEighthPulse = pulseLengthSec/8.  threeEighthsPulse = 3.*oneEighthPulse  sevenEighthsPulse = 7.*oneEighthPulse// Define the plasma density, number of plasma electron macro-particles, etc.	plasmaDensityMKS = 2e+22	simulationVolume = pi * maxRadiusMKS * maxRadiusMKS * maxLengthMKS	totalNumPlasma = plasmaDensityMKS * simulationVolume	numPtclsPerCell = 10	numPlasmaPtcls = numPtclsPerCell * numCells	plasmaNumRatio = totalNumPlasma / numPlasmaPtcls// Define plasma temperature and resulting flux of electrons into the simulation region.	gasTempEV = 0.088  gasDensityMKS = 2.0e23  gasPressureTorr = 1.20e-21 * gasDensityMKS * gasTempEV	plasmaTempEV = 0.0	thermalSpeed = speedOfLight * sqrt( plasmaTempEV / electronMassEV )	currentFactor = maxRadiusMKS * thermalSpeed * plasmaDensityMKS * electronCharge	endCurrent = currentFactor * maxRadiusMKS * sqrt(pi/2.)	shellCurrent = currentFactor * maxLengthMKS * sqrt(2.*pi)}// This simulation has only one "region", which contains grid, all particles, etc.Region{// Define the grid for this region.Grid{// Define number of grids along Z-axis and physical coordinates.	J = numZgrids	x1s = 0.0	x1f = maxLengthMKS	n1 = 1.0// Define number of grids along R-axis and physical coordinates.	K = numRgrids	x2s = 0.0	x2f = maxRadiusMKS	n2 = 1.0}// Specify "control" parameters for this regionControl{// Specify the time step.	dt = timeStep// Turn on the moving window algorithm.	movingWindow = 1	shiftDelayTime = movingWindowDelay// Turn on damping for the high-frequency EM fields	emdamping = 0.4999}// Define the plasma ions.Species{	name = plasma_ions	m = lithiumMass	q = ionCharge	subcycle = 10}// Load the plasma ions over the entire simulation region.Load{	speciesName = plasma_ions	density = plasmaDensityMKS	x1MinMKS = 0.0	x1MaxMKS = maxLengthMKS	x2MinMKS = 0.0	x2MaxMKS = maxRadiusMKS// This specifies a static uniform background (no macro-particles).	np2c = 0}// Define the plasma electrons.Species{	name = plasma_electrons	m = electronMass	q = electronCharge	collisionModel = 1}// Load the plasma electrons over the entire simulation region, but//   leave the last dz strip of cells empty, because this strip must//   be handled separately to accomodate the moving window algorithm.VarWeightLoad{	speciesName = plasma_electrons	density = plasmaDensityMKS	x1MinMKS = 0.0	x1MaxMKS = maxLengthMKS - zGridSize	x2MinMKS = 0.0	x2MaxMKS = maxRadiusMKS	np2c = 2 * plasmaNumRatio// Specify a finite plasma temperature (can be zero, of course).//	units = EV//	temperature = plasmaTempEV	v1thermal = thermalSpeed	v2thermal = thermalSpeed	v3thermal = 0.0// Specify loading that is more uniform than random	LoadMethodFlag = 1}// Load the plasma electrons into the last dz strip of cells, which was//   omitted by the load instruction above.VarWeightLoad{// Name this load group "shiftLoad" so that the moving window algorithm//   knows to invoke it every time the simulation window is shifted.	Name = shiftLoad	speciesName = plasma_electrons	density = plasmaDensityMKS// The fudged values for x1MaxMKS and x2MaxMKS are required, because a//   bug in the load algorithm occasionally puts a randomly loaded macro-//   particle right on the boundary, which then crashes the code.	x1MinMKS = maxLengthMKS - zGridSize	x1MaxMKS = maxLengthMKS - 0.001 * zGridSize	x2MinMKS = 0.0	x2MaxMKS = maxRadiusMKS - 0.001 * rGridSize	np2c = 2 * plasmaNumRatio// Specify a finite plasma temperature (can be zero, of course).//	units = EV//	temperature = plasmaTempEV	v1thermal = thermalSpeed	v2thermal = thermalSpeed	v3thermal = 0.0// Specify loading that is more uniform than random	LoadMethodFlag = 1}// Define the beam electrons.Species{	name = beam_electrons	m = electronMass	q = electronCharge	collisionModel = 1}// Define the beam emitter, which introduces the high-energy beam into the// simulation.VarWeightBeamEmitter{	speciesName = beam_electrons	I = peakCurrent// Define the 2-D function F(x,t) that specifies beam emission profile.  xtFlag = 3  nIntervals = 32  F=exp(-invSigRsq*x*x)*exp(-invSigTsq*(t-oneHalfPulse)*(t-oneHalfPulse))*step(pulseLengthSec-t)// Macroparticles are emitted from the left boundary, close to the axis of symmetry.	j1 = 0	j2 = 0	k1 = 0	k2 = numRgridsAcrossBeam	normal = 1	np2c = beamNumRatio// Emit particles, directed along the Z-axis,  with specified energy and temperature.	units = EV	v1drift = beamEnergyEV	v1thermal = 0.0	v2thermal = 0.0	v3thermal = 0.0}// Specify the Monte Carlo collision parameters for background Li gasMCC{	gas = Li  relativisticMCC = 1	pressure = gasPressureTorr	temperature = gasTempEV	eSpecies = plasma_electrons	iSpecies = plasma_ions}// Specify a perfect conductor along the left boundary.  This serves as a particle//   boundary condition (catches particles that leave the simulation) and as a//   field boundary condition (E_r is forced to vanish).Conductor{	j1 = 0	j2 = 0	k1 = 0	k2 = numRgrids	normal = 1}// Specify a perfect conductor along the radial boundary.  This serves as a//   particle boundary condition (catches particles that leave the simulation)//   and as a field boundary condition (E_z is forced to vanish).Conductor{	j1 = 0	j2 = numZgrids	k1 = numRgrids	k2 = numRgrids	normal = -1}// Specify a perfect conductor along the right boundary.  This serves as a//   particle boundary condition (catches particles that leave the simulation)//   and as a field boundary condition (E_r is forced to vanish).Conductor{	j1 = numZgrids	j2 = numZgrids	k1 = numRgrids	k2 = 0	normal = -1}// Define the cylindrical symmetry axis.CylindricalAxis{	j1 = 0	j2 = numZgrids	k1 = 0	k2 = 0	normal = 1}}

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