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# -*- coding: utf-8 -*-
__author__ = "Konstantin Klementiev"
__date__ = "11 Nov 2017"
import os, sys; sys.path.append(os.path.join('..', '..')) # analysis:ignore
import numpy as np
import time
import matplotlib.pyplot as plt
import xrt.backends.raycing.sources as rs
import xrt.backends.raycing.coherence as rco
harmonics = 3, 7
energySpreads = 0.8e-3,
emittances = 280., # pmrad
bw = 1e-3
p = 40000.
Kmax = 1.92
betaX, betaZ = 2., 2. # m
thetaMax, psiMax = 60e-6, 30e-6 # rad
binsx, binsz = 64+1, 32+1
theta = np.linspace(-thetaMax, thetaMax, binsx)
psi = np.linspace(-psiMax, psiMax, binsz)
repeats = 10 # "macro-electrons"
kw = dict(
eE=3.0, eI=0.5, # MAX IV
name='IVU19', period=19, n=162, # MAX IV
targetE=(10000, 7),
betaX=betaX, betaZ=betaZ,
xPrimeMax=thetaMax*1e3, zPrimeMax=psiMax*1e3,
# targetOpenCL='CPU',
xPrimeMaxAutoReduce=False, zPrimeMaxAutoReduce=False)
def main():
und = rs.Undulator(**kw)
for harmonic in harmonics:
Eh = harmonic * und.E1
# Eh = Eh * (1 - 1./harmonic/und.Np) # detuned to harmonic's maximum
und.eMin = Eh * (1 - bw/2)
und.eMax = Eh * (1 + bw/2)
und.reset()
energy = np.ones(repeats) * Eh
st = 'st' if harmonic == 1 else 'nd' if harmonic == 2 else 'rd'\
if harmonic == 3 else 'th'
for energySpread in energySpreads:
und.eEspread = energySpread
for emittancex in emittances:
if energySpread > 1e-12:
ses = '{0:.1e}'.format(energySpread)
ses = ses[:-2] + ses[-1] # removes "0" from power
else:
ses = '0'
txt = '{0}{1} harmonic ({2:.0f} eV){5}{3} energy spread{5}' +\
'$\\epsilon_x$ = {4:.0f} pmrad'
cap = txt.format(harmonic, st, Eh, ses, emittancex, ', ')
baseName = 'h{0:02d}-esp{1}-em{2:04.0f}'.format(
harmonic, energySpread, emittancex)
emittancez = 10 if emittancex > 1e-12 else 0
und.dx = np.sqrt(emittancex*betaX) * 1e-3 # in mm
und.dz = np.sqrt(emittancez*betaZ) * 1e-3 # in mm
und.dxprime = \
emittancex*1e-9 / und.dx if und.dx > 0 else 0. # rad
und.dzprime = \
emittancez*1e-9 / und.dz if und.dz > 0 else 0. # rad
Es, Ep = und.multi_electron_stack(energy, theta, psi)
print("Es.shape", Es.shape)
k = binsx * binsz
D = np.array(Es).reshape((repeats, k), order='F').T
J = np.dot(D, D.T.conjugate()) # / repeats
print("solving eigenvalue problem...")
start = time.time()
dotc4 = rco.calc_degree_of_transverse_coherence_4D(J)
# print('dotc4', dotc4)
wN, vN = rco.calc_eigen_modes_4D(J, eigenN=4)
stop = time.time()
print("the eigenvalue problem has taken {0:.4} s".format(
stop-start))
print("vN.shape", vN.shape)
print("Top 4 eigen values (4D) = {0}".format(wN))
figE4 = rco.plot_eigen_modes(theta*p, psi*p, wN, vN,
xlabel='x (mm)', ylabel='z (mm)')
figE4.axes[0].xaxis.set_ticklabels([])
figE4.axes[1].xaxis.set_ticklabels([])
figE4.suptitle('Eigen modes of mutual intensity,\n'
+ cap, fontsize=11)
plt.text(0.05, 0.05, 'DoTC={0:.3f}'.format(dotc4),
transform=figE4.axes[0].transAxes,
ha='left', va='bottom', color='w', size=10)
figE4.savefig('Modes-{0}-{1}.png'.format('s', baseName))
print("solving PCA problem...")
start = time.time()
dotcP = rco.calc_degree_of_transverse_coherence_PCA(Es)
# print('dotcP', dotcP)
wPCA, vPCA = rco.calc_eigen_modes_PCA(Es, eigenN=4)
stop = time.time()
print("the PCA problem has taken {0:.4} s".format(stop-start))
print("vPCA.shape", vPCA.shape)
print("Top 4 eigen values (PCA) = {0}".format(wPCA))
figEP = rco.plot_eigen_modes(theta*p, psi*p, wPCA, vPCA,
xlabel='x (mm)', ylabel='z (mm)')
figEP.axes[0].xaxis.set_ticklabels([])
figEP.axes[1].xaxis.set_ticklabels([])
figEP.suptitle('Principal components of one-electron images,\n'
+ cap, fontsize=11)
plt.text(0.05, 0.05, 'DoTC={0:.3f}'.format(dotcP),
transform=figEP.axes[0].transAxes,
ha='left', va='bottom', color='w', size=10)
figEP.savefig('Components-{0}-{1}.png'.format('s', baseName))
xdata = rco.calc_1D_coherent_fraction(Es, 'x', theta*p, p)
ydata = rco.calc_1D_coherent_fraction(Es, 'z', psi*p, p)
fig2D1, figXZ = rco.plot_1D_degree_of_coherence(
xdata, 'x', theta*p)
fig2D2, figXZ = rco.plot_1D_degree_of_coherence(
ydata, 'z', psi*p, fig2=figXZ)
fig2D1.suptitle('Mutual intensity for horizontal cut,\n '
+ cap, size=11)
fig2D2.suptitle('Mutual intensity for vertical cut,\n '
+ cap, size=11)
figXZ.suptitle('Intensity and Degree of Coherence,\n '
+ cap, size=11)
fig2D1.savefig('MutualI-x-{0}-{1}.png'.format('s', baseName))
fig2D2.savefig('MutualI-z-{0}-{1}.png'.format('s', baseName))
figXZ.savefig('DOC-{0}-{1}.png'.format('s', baseName))
plt.show()
# plt.close('all')
if __name__ == '__main__':
main()
print("Done")
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