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# -*- coding: utf-8 -*-
__author__ = "Konstantin Klementiev"
__date__ = "08 Mar 2016"
import os, sys; sys.path.append(os.path.join('..', '..', '..')) # analysis:ignore
import numpy as np
import copy
#import matplotlib as mpl
import matplotlib.pyplot as plt
import xrt.backends.raycing as raycing
import xrt.backends.raycing.sources as rs
import xrt.backends.raycing.apertures as ra
import xrt.backends.raycing.oes as roe
import xrt.backends.raycing.run as rr
import xrt.backends.raycing.materials as rm
import xrt.plotter as xrtp
import xrt.runner as xrtr
import xrt.backends.raycing.screens as rsc
showIn3D = False
mGold = rm.Material('Au', rho=19.3)
mGoldenGrating = rm.Material(
'Au', rho=19.3, kind='grating',
efficiency=[(1, 2)], efficiencyFile='efficiency1-LEG.txt')
# efficiency=[(1, 1)], efficiencyFile='efficiency1-LEG.pickle')
# efficiency=[(1, 0.3)])
# )
E0 = 80.
dE = 0.01
#distE = 'lines'
#energies = np.linspace(E0-dE, E0+dE, 5)
distE = 'flat'
energies = E0-dE, E0+dE
#=============================================================================
# Do not put many scanEnergies AND s1openings together or else you'll have
# MemoryError due to the numerous plots. You should fix one of the two and scan
# the other.
#=============================================================================
#scanEnergies = np.linspace(E0 - dE*0.75, E0 + dE*0.75, 7)
scanEnergies = E0,
#s1openings = np.linspace(0.01, 0.25, 25)
s1openings = 0.03,
cff = 2.25
pitch = np.radians(2)
fixedExit = 30.
rho = 1221.
class Grating(roe.OE):
def local_g(self, x, y, rho=rho):
return 0, -rho, 0 # constant line spacing along y
def build_beamline(azimuth=0, nrays=raycing.nrays):
beamLine = raycing.BeamLine(azimuth=azimuth, height=0)
rs.GeometricSource(
beamLine, 'MAX-IV',
nrays=nrays, dx=0.187, dz=0.032, dxprime=77e-6, dzprime=70e-6,
distE=distE, energies=energies, polarization='horizontal')
beamLine.fsm0 = rsc.Screen(beamLine, 'FSM0')
beamLine.m1 = roe.ToroidMirror(
beamLine, 'M1', surface=('Au',), material=(mGold,),
limPhysX=(-10., 10.), limPhysY=(-150., 150.), positionRoll=np.pi/2,
R=1e12, alarmLevel=0.2)
beamLine.fsm1 = rsc.Screen(beamLine, 'FSM-M1')
beamLine.m2 = roe.OE(
beamLine, 'M2', surface=('Au',), material=(mGold,),
limPhysX=(-10., 10.), limPhysY=(-150., 150.), alarmLevel=0.2)
beamLine.pg = Grating(
beamLine, 'PlaneGrating', material=mGoldenGrating,
positionRoll=np.pi, limPhysX=(-15., 15.), limPhysY=(-55., 55.),
alarmLevel=0.2)
# beamLine.pg.order = -2,-1,0,1,2,3
beamLine.pg.order = 1
beamLine.fsmPG = rsc.Screen(beamLine, 'FSM-PG')
beamLine.m3 = roe.ToroidMirror(
beamLine, 'M3', material=(mGold,),
positionRoll=-np.pi/2, limPhysX=(-15., 15.), limPhysY=(-150., 150.),
alarmLevel=0.2)
beamLine.fsm3hf = rsc.Screen(beamLine, 'FSM-M3hf')
beamLine.fsm3vf = rsc.Screen(beamLine, 'FSM-M3vf')
beamLine.s1s = [
ra.RectangularAperture(
beamLine, 'vert. slit', [0, 0, fixedExit],
('bottom', 'top'), [-opening/2., +opening/2.])
for opening in s1openings]
beamLine.m4 = roe.ToroidMirror(
beamLine, 'M4', material=(mGold,),
positionRoll=np.pi/2, limPhysX=(-15., 15.), limPhysY=(-150., 150.),
alarmLevel=0.2)
beamLine.fsmExp1 = rsc.Screen(beamLine, 'FSM-Exp1')
beamLine.fsmExp2 = rsc.Screen(beamLine, 'FSM-Exp2')
return beamLine
def run_process(beamLine, shineOnly1stSource=False):
beamSource = beamLine.sources[0].shine()
# beamLine.feFixedMask.propagate(beamSource)
beamFSM0 = beamLine.fsm0.expose(beamSource)
beamM1global, beamM1local = beamLine.m1.reflect(beamSource)
beamFSM1 = beamLine.fsm1.expose(beamM1global)
beamM2global, beamM2local = beamLine.m2.reflect(beamM1global)
beamPGglobal, beamPGlocal = beamLine.pg.reflect(beamM2global)
beamFSMPG = beamLine.fsmPG.expose(beamPGglobal)
beamM3global, beamM3local = beamLine.m3.reflect(beamPGglobal)
beamFSM3hf = beamLine.fsm3hf.expose(beamM3global)
beamFSM3vf = beamLine.fsm3vf.expose(beamM3global)
outDict = {'beamSource': beamSource,
'beamFSM0': beamFSM0,
'beamM1global': beamM1global, 'beamM1local': beamM1local,
'beamFSM1': beamFSM1,
'beamM2global': beamM2global, 'beamM2local': beamM2local,
'beamPGglobal': beamPGglobal, 'beamPGlocal': beamPGlocal,
'beamFSMPG': beamFSMPG,
'beamM3global': beamM3global, 'beamM3local': beamM3local,
'beamFSM3hf': beamFSM3hf, 'beamFSM3vf': beamFSM3vf,
}
for iopening, s1 in enumerate(beamLine.s1s):
if showIn3D:
beamM3globalCopy = beamM3global
else:
beamM3globalCopy = copy.deepcopy(beamM3global)
beamTemp1 = s1.propagate(beamM3globalCopy)
beamFSM3vs = beamLine.fsm3vf.expose(beamM3globalCopy)
beamM4global, beamM4local = beamLine.m4.reflect(beamM3globalCopy)
beamFSMExp1 = beamLine.fsmExp1.expose(beamM4global)
beamFSMExp2 = beamLine.fsmExp2.expose(beamM4global)
sti = '{0:02d}'.format(iopening)
outDict['beamFSM3vsOp'+sti] = beamFSM3vs
outDict['beamM4globalOp'+sti] = beamM4global
outDict['beamM4localOp'+sti] = beamM4local
outDict['beamFSMExp1Op'+sti] = beamFSMExp1
outDict['beamFSMExp2Op'+sti] = beamFSMExp2
if showIn3D:
break
if showIn3D:
beamLine.prepare_flow()
return outDict
rr.run_process = run_process
eps = 1e-5
def align_grating(grating, E, m, cff):
g = grating.local_g(0, 0)
rho = np.dot(g, g)**0.5
order = abs(m) if cff > 1 else -abs(m)
f1 = cff**2 + 1
f2 = cff**2 - 1
if abs(f2) < eps:
raise ValueError('cff is not allowed to be close to 1!')
ml_d = order * rho * rm.ch / E * 1e-7
cosAlpha = np.sqrt(-ml_d**2 * f1 + 2*abs(ml_d) *
np.sqrt(f2**2 + cff**2 * ml_d**2)) / abs(f2)
cosBeta = cff * cosAlpha
alpha = np.arccos(cosAlpha)
beta = -np.arccos(cosBeta)
return alpha, beta
def align_beamline(
beamLine, E0=E0, pitchM1=pitch, cff=cff, fixedExit=fixedExit,
pitchM3=pitch, pitchM4=pitch):
pM1 = 12000.
beamLine.sources[0].center = pM1 * np.sin(2*pitchM1), \
-pM1 * np.cos(2*pitchM1), 0
beamLine.fsm0.center = beamLine.sources[0].center
rM1 = 2. * pM1 * np.sin(pitchM1)
print('M1: r = {0} mm'.format(rM1))
beamLine.m1.center = 0, 0, 0
beamLine.m1.pitch = pitchM1
beamLine.m1.r = rM1
beamLine.fsm1.center = beamLine.m1.center
if isinstance(beamLine.pg.order, int):
m = beamLine.pg.order
else:
m = beamLine.pg.order[0]
alpha, beta = align_grating(beamLine.pg, E0, m=m, cff=cff)
includedAngle = alpha - beta
print('alpha = {0} deg'.format(np.degrees(alpha)))
print('beta = {0} deg'.format(np.degrees(beta)))
print('included angle = {0} deg'.format(np.degrees(includedAngle)))
print('cos(beta)/cos(alpha) = {0}'.format(np.cos(beta)/np.cos(alpha)))
t = -fixedExit / np.tan(includedAngle)
print('t = {0} mm'.format(t))
pPG = 3000.
beamLine.m2.center = 0, pPG - t, 0
beamLine.m2.pitch = (np.pi - includedAngle) / 2.
print('M2 pitch = {0} deg'.format(np.degrees(beamLine.m2.pitch)))
beamLine.m2.yaw = -2 * pitchM1
beamLine.pg.pitch = -(beta + np.pi/2)
print('PG pitch = {0} deg'.format(np.degrees(beamLine.pg.pitch)))
beamLine.pg.center = 0, pPG, fixedExit
beamLine.pg.yaw = -2 * pitchM1
beamLine.fsmPG.center = 0, beamLine.pg.center[1]+1000, fixedExit
pM3 = 1000.
pM3mer = pM1 + pPG + pM3
qM3mer = 5000.
qM3sag = 7000.
sinPitchM3 = np.sin(pitchM3)
rM3 = 2. * sinPitchM3 * qM3sag
RM3 = 2. / sinPitchM3 * (pM3mer*qM3mer) / (pM3mer+qM3mer)
print('M3: r = {0} mm, R = {1} m'.format(rM3, RM3*1e-3))
beamLine.m3.center = 0, pPG + pM3, fixedExit
beamLine.m3.pitch = -2*pitchM1 + pitchM3
beamLine.m3.r = rM3
beamLine.m3.R = RM3
beamLine.fsm3hf.center = -qM3mer * np.sin(2*pitchM3),\
beamLine.m3.center[1] + qM3mer * np.cos(2*pitchM3), fixedExit
beamLine.fsm3vf.center = -qM3sag * np.sin(2*pitchM3),\
beamLine.m3.center[1] + qM3sag * np.cos(2*pitchM3), fixedExit
for s1 in beamLine.s1s:
s1.center = beamLine.fsm3vf.center
pM4mer = 5000.
pM4sag = 3000.
qM4 = 3500.
sinPitchM4 = np.sin(pitchM4)
rM4 = 2. * sinPitchM4 * (pM4sag*qM4) / (pM4sag+qM4)
RM4 = 2. / sinPitchM4 * (pM4mer*qM4) / (pM4mer+qM4)
print('M4: r = {0} mm, R = {1} m'.format(rM4, RM4*1e-3))
dM34 = qM3mer + pM4mer # = qM3sag + pM4sag
beamLine.m4.center = -dM34 * np.sin(2*pitchM3),\
beamLine.m3.center[1] + dM34 * np.cos(2*pitchM3), fixedExit
beamLine.m4.pitch = 2*pitchM1 - 2*pitchM3 + pitchM4
beamLine.m4.r = rM4
beamLine.m4.R = RM4
qFSMExp1 = 1500. # upstream of the focus
beamLine.fsmExp1.center = beamLine.m4.center[0],\
beamLine.m4.center[1] + qM4 - qFSMExp1, fixedExit
beamLine.fsmExp2.center = beamLine.m4.center[0],\
beamLine.m4.center[1] + qM4, fixedExit
def define_plots(beamLine):
plots = []
plotsMono = []
plotsFocus = []
# plot = xrtp.XYCPlot('beamSource', (1,),
# xaxis=xrtp.XYCAxis(r'$x$', 'mm'),
# yaxis=xrtp.XYCAxis(r'$z$', 'mm'))
# plot.xaxis.fwhmFormatStr = '%.3f'
# plot.yaxis.fwhmFormatStr = '%.3f'
# plots.append(plot)
plot = xrtp.XYCPlot(
'beamFSM0', (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm'),
yaxis=xrtp.XYCAxis(r'$z$', 'mm'),
title='00-FSM0')
plot.xaxis.fwhmFormatStr = '%.3f'
plot.yaxis.fwhmFormatStr = '%.3f'
plots.append(plot)
#
# plot = xrtp.XYCPlot(
# 'beamM1local', (1,), aspect='auto',
# xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
# yaxis=xrtp.XYCAxis(r'$y$', 'mm', limits=[-150, 150]),
# title='01-M1local')
# plots.append(plot)
#
plot = xrtp.XYCPlot(
'beamFSM1', (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm', limits=[-4, 4]),
title='02-FSM1')
plots.append(plot)
#
# plot = xrtp.XYCPlot(
# 'beamM2local', (1,), aspect='auto',
# xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
# yaxis=xrtp.XYCAxis(r'$y$', 'mm', limits=[-55, 55]),
# title='03-M2local')
# plots.append(plot)
#
plot = xrtp.XYCPlot(
'beamPGlocal', (1,), aspect='auto',
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
yaxis=xrtp.XYCAxis(r'$y$', 'mm', limits=[-55, 55]),
title='04-PGlocal')
plots.append(plot)
plot = xrtp.XYCPlot(
'beamFSMPG', (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm', limits=[-4, 4]),
title='05-FSMPG')
plots.append(plot)
plot = xrtp.XYCPlot(
'beamFSMPG', (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm', limits=[-4, 4]),
caxis=xrtp.XYCAxis('path', 'mm'),
title='05-FSMPG-P')
plot.caxis.offset = 16000
plots.append(plot)
plot = xrtp.XYCPlot(
'beamM3local', (1,), aspect='auto',
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
yaxis=xrtp.XYCAxis(r'$y$', 'mm', limits=[-150, 150]),
title='06-M3local')
plots.append(plot)
plot = xrtp.XYCPlot(
'beamFSM3hf', (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-0.5, 0.5]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm',
limits=[-0.5, 0.5]),
title='07-FSM3hf')
plots.append(plot)
for is1, (s1, op) in enumerate(zip(beamLine.s1s, s1openings)):
sti = '{0:02d}'.format(is1)
plot = xrtp.XYCPlot(
'beamFSM3vf', (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-0.5, 0.5]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm',
limits=[-0.5, 0.5]),
title='08-FSM3vfOp'+sti, oe=s1)
plots.append(plot)
plot = xrtp.XYCPlot(
'beamFSM3vsOp'+sti, (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-0.5, 0.5]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm',
limits=[-0.5, 0.5]),
title='09-FSM3vsOp'+sti)
plots.append(plot)
plotsMono.append(plot)
plot = xrtp.XYCPlot(
'beamM4localOp'+sti, (1,), aspect='auto',
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-4, 4]),
yaxis=xrtp.XYCAxis(r'$y$', 'mm', limits=[-150, 150]),
title='10-M4localOp'+sti)
plots.append(plot)
plotsMono.append(plot)
plot = xrtp.XYCPlot(
'beamFSMExp1Op'+sti, (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-1, 1]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm',
limits=[-1, 1]),
title='11-FSMExp1Op'+sti)
plot.xaxis.fwhmFormatStr = '%.3f'
plot.yaxis.fwhmFormatStr = '%.3f'
plots.append(plot)
plotsMono.append(plot)
plot = xrtp.XYCPlot(
'beamFSMExp2Op'+sti, (1,),
xaxis=xrtp.XYCAxis(r'$x$', 'mm', limits=[-0.25, 0.25]),
yaxis=xrtp.XYCAxis(r'$z$', 'mm',
limits=[-0.25, 0.25]),
caxis=xrtp.XYCAxis('energy', 'eV', bins=256, ppb=1),
title='12-FSMExp2Op'+sti)
plot.xaxis.fwhmFormatStr = '%.3f'
plot.yaxis.fwhmFormatStr = '%.3f'
if len(s1openings) > 1:
plot.textPanel = plot.fig.text(
0.8, 0.8, u'slit opening\n{0:.0f} µm'.format(op*1e3),
transform=plot.fig.transFigure, size=14, color='r', ha='left')
plots.append(plot)
plotsMono.append(plot)
plotsFocus.append(plot)
for plot in plots:
if "energy" in plot.caxis.label:
plot.caxis.limits = [E0-dE, E0+dE]
plot.caxis.offset = E0
if plot in plotsMono:
plot.caxis.fwhmFormatStr = '%.4f'
else:
plot.caxis.fwhmFormatStr = None
return plots, plotsMono, plotsFocus
def plot_generator(plots, plotsMono, plotsFocus, beamLine):
for ienergy, energy in enumerate(scanEnergies):
align_beamline(beamLine, E0=energy)
for plot in plots:
plot.saveName = 'FlexPES-{0}-{1}.png'.format(
plot.title, ienergy)
yield
if len(s1openings) > 1:
flux = np.array([plot.intensity for plot in plotsFocus])
dE = np.array([E0/plot.dE*1e-4 for plot in plotsFocus])
op = np.array(s1openings)
fig = plt.figure(figsize=(5, 4), dpi=72)
fig.subplots_adjust(right=0.88, bottom=0.12)
ax1 = fig.add_subplot(111)
ax2 = ax1.twinx()
ax1.set_title('At E = 40 eV')
ax1.plot(op*1e3, dE, '-r', lw=2)
ax2.plot(op*1e3, flux/max(flux), '-b', lw=2)
ax1.set_xlabel(u'slit opening (µm)')
ax1.set_ylabel(r'energy resolution $E/dE\times10^{4}$', color='r')
ax2.set_ylabel('relative flux', color='b')
fig.savefig('FlexPES-dE.png')
def main():
beamLine = build_beamline(azimuth=-2*pitch, nrays=10000)
align_beamline(beamLine)
if showIn3D:
beamLine.glow(scale=[100, 10, 1000], centerAt='M2')
return
plots, plotsMono, plotsFocus = define_plots(beamLine)
args = [plots, plotsMono, plotsFocus, beamLine]
xrtr.run_ray_tracing(plots, repeats=1, beamLine=beamLine,
generator=plot_generator, generatorArgs=args,
processes='half')
#this is necessary to use multiprocessing in Windows, otherwise the new Python
#contexts cannot be initialized:
if __name__ == '__main__':
main()
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