def calc_bm_spectrum(e_gev=6.0,e_min=100.0,e_max=100000.00,output_file=""):
# input for ESRF BM
import scipy.constants.codata
r_m = 3.3*e_gev/0.856 # magnetic radius in m
i_a = 0.2 # electron current in A
# calculate critical energy in eV
gamma = e_gev*1e3/codata_mee
ec_m = 4.0*numpy.pi*r_m/3.0/numpy.power(gamma,3) # wavelength in m
ec_ev = m2ev/ec_m
print("Critical energy = %f eV"%ec_ev)
print("Magnetic radius = %f m"%r_m)
print("Gamma = %f "%gamma)
print("mee = %f "%codata_mee)
energy_ev = numpy.linspace(e_min,e_max,500) # photon energy grid
f_psi = 0 # flag: full angular integration
flux = srfunc.sync_ene(f_psi,energy_ev,ec_ev=ec_ev,polarization=0, \
e_gev=e_gev,i_a=i_a,hdiv_mrad=1.0, \
psi_min=0.0, psi_max=0.0, psi_npoints=1)
# for 2mrad
flux *= 2
tmp = (numpy.vstack((energy_ev,flux)))
print(tmp.shape)
numpy.savetxt(output_file,tmp.T)
x = numpy.array((5000.,10000,20000,40000,80000))
return numpy.interp(x,energy_ev,flux)
def xoppy_calc_bm(MACHINE_NAME="ESRF bending magnet",RB_CHOICE=0,MACHINE_R_M=25.0,BFIELD_T=0.8,\
BEAM_ENERGY_GEV=6.04,CURRENT_A=0.1,HOR_DIV_MRAD=1.0,VER_DIV=0,\
PHOT_ENERGY_MIN=100.0,PHOT_ENERGY_MAX=100000.0,NPOINTS=500,LOG_CHOICE=1,\
PSI_MRAD_PLOT=1.0,PSI_MIN=-1.0,PSI_MAX=1.0,PSI_NPOINTS=500,TYPE_CALC=0,FILE_DUMP=0):
# electron energy in GeV
gamma = BEAM_ENERGY_GEV * 1e3 / srfunc.codata_mee
r_m = MACHINE_R_M # magnetic radius in m
if RB_CHOICE == 1:
r_m = srfunc.codata_me * srfunc.codata_c / srfunc.codata_ec / BFIELD_T * numpy.sqrt(
gamma * gamma - 1)
# calculate critical energy in eV
ec_m = 4.0 * numpy.pi * r_m / 3.0 / numpy.power(gamma,
3) # wavelength in m
ec_ev = srfunc.m2ev / ec_m
fm = None
a = None
energy_ev = None
if TYPE_CALC == 0:
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN, PHOT_ENERGY_MAX,
NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),
numpy.log10(PHOT_ENERGY_MAX),
NPOINTS) # photon energy grid
a5 = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=0, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5par = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=1, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5per = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=2, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
if VER_DIV == 0:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw]', 'Power[Watts/eV]'
]
title = 'integrated in Psi,'
if VER_DIV == 1:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw/mrad(Psi)]', 'Power[Watts/eV/mrad(Psi)]'
]
title = 'at Psi=0,'
if VER_DIV == 2:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw]', 'Power[Watts/eV]'
]
title = 'in Psi=[%e,%e]' % (PSI_MIN, PSI_MAX)
if VER_DIV == 3:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw/mrad(Psi)]', 'Power[Watts/eV/mrad(Psi)]'
]
title = 'at Psi=%e mrad' % (PSI_MIN)
a6 = numpy.zeros((7, len(energy_ev)))
a1 = energy_ev
a6[0, :] = (a1)
a6[1, :] = srfunc.m2ev * 1e10 / (a1)
a6[2, :] = (a1) / ec_ev # E/Ec
a6[3, :] = numpy.array(a5par) / numpy.array(a5)
a6[4, :] = numpy.array(a5per) / numpy.array(a5)
a6[5, :] = numpy.array(a5)
a6[6, :] = numpy.array(a5) * 1e3 * srfunc.codata_ec
if TYPE_CALC == 1: # angular distributions over over all energies
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,
NPOINTS) # angle grid
a6 = numpy.zeros((6, NPOINTS))
a6[0, :] = angle_mrad # angle in mrad
a6[1, :] = angle_mrad * gamma / 1e3 # Psi[rad]*Gamma
a6[2, :] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
a6[5, :] = srfunc.sync_ang(0,
angle_mrad,
i_a=CURRENT_A,
hdiv_mrad=HOR_DIV_MRAD,
e_gev=BEAM_ENERGY_GEV,
r_m=r_m)
coltitles = [
'Psi[mrad]', 'Psi[rad]*Gamma', 'F', 'F s-pol', 'F p-pol',
'Power[Watts/mrad(Psi)]'
]
if TYPE_CALC == 2: # angular distributions at a single energy
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,
NPOINTS) # angle grid
a6 = numpy.zeros((7, NPOINTS))
a6[0, :] = angle_mrad # angle in mrad
a6[1, :] = angle_mrad * gamma / 1e3 # Psi[rad]*Gamma
a6[2, :] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
tmp = srfunc.sync_ang(1,
angle_mrad,
energy=PHOT_ENERGY_MIN,
i_a=CURRENT_A,
hdiv_mrad=HOR_DIV_MRAD,
e_gev=BEAM_ENERGY_GEV,
ec_ev=ec_ev)
tmp.shape = -1
a6[5, :] = tmp
a6[6, :] = a6[5, :] * srfunc.codata_ec * 1e3
coltitles = [
'Psi[mrad]', 'Psi[rad]*Gamma', 'F', 'F s-pol', 'F p-pol',
'Flux[Ph/sec/0.1%bw/mrad(Psi)]', 'Power[Watts/eV/mrad(Psi)]'
]
if TYPE_CALC == 3: # angular,energy distributions flux
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,
NPOINTS) # angle grid
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN, PHOT_ENERGY_MAX,
NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),
numpy.log10(PHOT_ENERGY_MAX),
NPOINTS) # photon energy grid
# fm[angle,energy]
fm = srfunc.sync_ene(4, energy_ev, ec_ev=ec_ev, e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, \
hdiv_mrad=HOR_DIV_MRAD, psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a = numpy.linspace(PSI_MIN, PSI_MAX, PSI_NPOINTS)
a6 = numpy.zeros((4, len(a) * len(energy_ev)))
ij = -1
for i in range(len(a)):
for j in range(len(energy_ev)):
ij += 1
a6[0, ij] = a[i]
a6[1, ij] = energy_ev[j]
a6[2, ij] = fm[i, j] * srfunc.codata_ec * 1e3
a6[3, ij] = fm[i, j]
coltitles = [
'Psi [mrad]', 'Photon Energy [eV]', 'Power [Watts/eV/mrad(Psi)]',
'Flux [Ph/sec/0.1%bw/mrad(Psi)]'
]
# write spec file
ncol = len(coltitles)
npoints = len(a6[0, :])
if FILE_DUMP:
outFile = "bm.spec"
f = open(outFile, "w")
f.write("#F " + outFile + "\n")
f.write("\n")
f.write("#S 1 bm results\n")
f.write("#N %d\n" % (ncol))
f.write("#L")
for i in range(ncol):
f.write(" " + coltitles[i])
f.write("\n")
for i in range(npoints):
f.write((" %e " * ncol + "\n") % (tuple(a6[:, i].tolist())))
f.close()
print("File written to disk: " + outFile)
if TYPE_CALC == 0:
if LOG_CHOICE == 0:
print("\nPower from integral of spectrum: %15.3f W" %
(a5.sum() * 1e3 * srfunc.codata_ec *
(energy_ev[1] - energy_ev[0])))
return a6.T, fm, a, energy_ev
def xoppy_calc_bm(MACHINE_NAME="ESRF bending magnet",RB_CHOICE=0,MACHINE_R_M=25.0,BFIELD_T=0.8,\
BEAM_ENERGY_GEV=6.04,CURRENT_A=0.1,HOR_DIV_MRAD=1.0,VER_DIV=0,\
PHOT_ENERGY_MIN=100.0,PHOT_ENERGY_MAX=100000.0,NPOINTS=500,LOG_CHOICE=1,\
PSI_MRAD_PLOT=1.0,PSI_MIN=-1.0,PSI_MAX=1.0,PSI_NPOINTS=500,TYPE_CALC=0,FILE_DUMP=0):
print("Inside xoppy_calc_bm. ")
# electron energy in GeV
gamma = BEAM_ENERGY_GEV*1e3 / srfunc.codata_mee
r_m = MACHINE_R_M # magnetic radius in m
if RB_CHOICE == 1:
r_m = srfunc.codata_me * srfunc.codata_c / srfunc.codata_ec / BFIELD_T * numpy.sqrt(gamma * gamma - 1)
# calculate critical energy in eV
ec_m = 4.0*numpy.pi*r_m/3.0/numpy.power(gamma,3) # wavelength in m
ec_ev = srfunc.m2ev / ec_m
fm = None
a = None
energy_ev = None
if TYPE_CALC == 0:
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN,PHOT_ENERGY_MAX,NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),numpy.log10(PHOT_ENERGY_MAX),NPOINTS) # photon energy grid
a5 = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=0, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5par = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=1, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5per = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=2, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
if VER_DIV == 0:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw]','Power[Watts/eV]']
title='integrated in Psi,'
if VER_DIV == 1:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw/mrad(Psi)]','Power[Watts/eV/mrad(Psi)]']
title='at Psi=0,'
if VER_DIV == 2:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw]','Power[Watts/eV]']
title='in Psi=[%e,%e]'%(PSI_MIN,PSI_MAX)
if VER_DIV == 3:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw/mrad(Psi)]','Power[Watts/eV/mrad(Psi)]']
title='at Psi=%e mrad'%(PSI_MIN)
a6=numpy.zeros((7,len(energy_ev)))
a1 = energy_ev
a6[0,:] = (a1)
a6[1,:] = srfunc.m2ev * 1e10 / (a1)
a6[2,:] = (a1)/ec_ev # E/Ec
a6[3,:] = numpy.array(a5par)/numpy.array(a5)
a6[4,:] = numpy.array(a5per)/numpy.array(a5)
a6[5,:] = numpy.array(a5)
a6[6,:] = numpy.array(a5)*1e3 * srfunc.codata_ec
if TYPE_CALC == 1: # angular distributions over over all energies
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,NPOINTS) # angle grid
a6 = numpy.zeros((6,NPOINTS))
a6[0,:] = angle_mrad # angle in mrad
a6[1,:] = angle_mrad*gamma/1e3 # Psi[rad]*Gamma
a6[2,:] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
a6[5,:] = srfunc.sync_ang(0, angle_mrad, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, e_gev=BEAM_ENERGY_GEV, r_m=r_m)
coltitles=['Psi[mrad]','Psi[rad]*Gamma','F','F s-pol','F p-pol','Power[Watts/mrad(Psi)]']
if TYPE_CALC == 2: # angular distributions at a single energy
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,NPOINTS) # angle grid
a6 = numpy.zeros((7,NPOINTS))
a6[0,:] = angle_mrad # angle in mrad
a6[1,:] = angle_mrad*gamma/1e3 # Psi[rad]*Gamma
a6[2,:] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
tmp = srfunc.sync_ang(1, angle_mrad, energy=PHOT_ENERGY_MIN, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, e_gev=BEAM_ENERGY_GEV, ec_ev=ec_ev)
tmp.shape = -1
a6[5,:] = tmp
a6[6,:] = a6[5,:] * srfunc.codata_ec * 1e3
coltitles=['Psi[mrad]','Psi[rad]*Gamma','F','F s-pol','F p-pol','Flux[Ph/sec/0.1%bw/mrad(Psi)]','Power[Watts/eV/mrad(Psi)]']
if TYPE_CALC == 3: # angular,energy distributions flux
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,NPOINTS) # angle grid
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN,PHOT_ENERGY_MAX,NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),numpy.log10(PHOT_ENERGY_MAX),NPOINTS) # photon energy grid
# fm[angle,energy]
fm = srfunc.sync_ene(4, energy_ev, ec_ev=ec_ev, e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, \
hdiv_mrad=HOR_DIV_MRAD, psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a = numpy.linspace(PSI_MIN,PSI_MAX,PSI_NPOINTS)
a6 = numpy.zeros((4,len(a)*len(energy_ev)))
ij = -1
for i in range(len(a)):
for j in range(len(energy_ev)):
ij += 1
a6[0,ij] = a[i]
a6[1,ij] = energy_ev[j]
a6[2,ij] = fm[i,j] * srfunc.codata_ec * 1e3
a6[3,ij] = fm[i,j]
coltitles=['Psi [mrad]','Photon Energy [eV]','Power [Watts/eV/mrad(Psi)]','Flux [Ph/sec/0.1%bw/mrad(Psi)]']
# write spec file
ncol = len(coltitles)
npoints = len(a6[0,:])
if FILE_DUMP == 1:
outFile = "bm.spec"
f = open(outFile,"w")
f.write("#F "+outFile+"\n")
f.write("\n")
f.write("#S 1 bm results\n")
f.write("#N %d\n"%(ncol))
f.write("#L")
for i in range(ncol):
f.write(" "+coltitles[i])
f.write("\n")
for i in range(npoints):
f.write((" %e "*ncol+"\n")%(tuple(a6[:,i].tolist())))
f.close()
print("File written to disk: " + outFile)
return a6.T, fm, a, energy_ev
def __calculate_rays(self,
F_COHER=0, NRAYS=5000, SEED=123456,
EPSI_DX=0.0, EPSI_DZ=0.0,
psi_interval_in_units_one_over_gamma=None,
psi_interval_number_of_points=1001,
verbose=False):
"""
compute the rays in SHADOW matrix (shape (npoints,18) )
:param F_COHER: set this flag for coherent beam
:param user_unit_to_m: default 1.0 (m)
:return: rays, a numpy.array((npoits,18))
"""
if SEED != 0:
numpy.random.seed(SEED)
rays = numpy.zeros((NRAYS,18))
#RAD_MIN= numpy.abs(self.get_magnetic_structure().radius())
#RAD_MAX= numpy.abs(self.get_magnetic_structure().radius())
# r_aladdin = bending magnet radius in units of length used for source size, CCW rings negative.
r_aladdin = self.get_magnetic_structure().radius()
if r_aladdin < 0:
POL_ANGLE = -90.0 * numpy.pi / 2
else:
POL_ANGLE = 90.0 * numpy.pi / 2
HDIV1 = 0.5 * self.get_magnetic_structure().horizontal_divergence()
HDIV2 = HDIV1
gamma = self.get_electron_beam().gamma()
critical_energy = self.get_magnetic_structure().get_critical_energy(self.get_electron_beam().energy())
if psi_interval_in_units_one_over_gamma is None:
c = numpy.array([-0.3600382, 0.11188709]) # see file fit_psi_interval.py
x = numpy.log10(self.get_magnetic_structure()._EMIN / critical_energy)
y_fit = c[1] + c[0] * x
psi_interval_in_units_one_over_gamma = 10 ** y_fit # this is the semi interval
psi_interval_in_units_one_over_gamma *= 4 # doubled interval
if psi_interval_in_units_one_over_gamma < 2:
psi_interval_in_units_one_over_gamma = 2
if verbose:
print(">>> psi_interval_in_units_one_over_gamma: ",psi_interval_in_units_one_over_gamma)
angle_array_mrad = numpy.linspace(-0.5*psi_interval_in_units_one_over_gamma * 1e3 / gamma,
0.5*psi_interval_in_units_one_over_gamma * 1e3 / gamma,
psi_interval_number_of_points)
if self.get_magnetic_structure().is_monochromatic():
if verbose:
print(">>> calculate_rays: is monochromatic")
print(">>> calculate_rays: sync_ang (s) E=%f GeV, I=%f A, D=%f mrad, R=%f m, PhE=%f eV, Ec=%f eV, PhE/Ec=%f "% ( \
self.get_electron_beam().energy(),
self.get_electron_beam().current(),
(HDIV1 + HDIV2) * 1e3,
self.get_magnetic_structure().radius(), # not needed anyway
self.get_magnetic_structure()._EMIN,
critical_energy,
self.get_magnetic_structure()._EMIN/critical_energy,
))
angular_distribution_s = sync_ang(1,#Flux at a given photon energy
angle_array_mrad,
polarization=1,#1 Parallel (l2=1, l3=0, in Sokolov&Ternov notation)
e_gev=self.get_electron_beam().energy(),
i_a=self.get_electron_beam().current(),
hdiv_mrad=(HDIV1+HDIV2)*1e3,
r_m=self.get_magnetic_structure().radius(),#not needed anyway
energy=self.get_magnetic_structure()._EMIN,
ec_ev=critical_energy)
if verbose:
print(">>> calculate_rays: sync_ang (p)")
angular_distribution_p = sync_ang(1,#Flux at a given photon energy
angle_array_mrad,
polarization=2,#1 Parallel (l2=1, l3=0, in Sokolov&Ternov notation)
e_gev=self.get_electron_beam().energy(),
i_a=self.get_electron_beam().current(),
hdiv_mrad=(HDIV1+HDIV2)*1e3,
r_m=self.get_magnetic_structure().radius(),#not needed anyway
energy=self.get_magnetic_structure()._EMIN,
ec_ev=critical_energy)
angular_distribution_s = angular_distribution_s.flatten()
angular_distribution_p = angular_distribution_p.flatten()
if verbose:
from srxraylib.plot.gol import plot
plot(angle_array_mrad,angular_distribution_s,
angle_array_mrad,angular_distribution_p,xtitle="angle / mrad",legend=["s","p"])
sampler_angle = Sampler1D(angular_distribution_s+angular_distribution_p,angle_array_mrad*1e-3)
if verbose:
print(">>> calculate_rays: get_n_sampled_points (angle)")
sampled_angle = sampler_angle.get_n_sampled_points(NRAYS)
if verbose:
print(">>> calculate_rays: DONE get_n_sampled_points (angle) %d points"%(sampled_angle.size))
pol_deg_interpolator = interp1d(angle_array_mrad*1e-3,
angular_distribution_s/(angular_distribution_s+angular_distribution_p))
sampled_polarization = pol_deg_interpolator(sampled_angle)
sampled_photon_energy = numpy.zeros_like(sampled_angle) + self.get_magnetic_structure()._EMIN
else: # polychromatic
photon_energy_array = numpy.linspace(self.get_magnetic_structure()._EMIN,
self.get_magnetic_structure()._EMAX,
self.get_magnetic_structure()._NG_E)
if verbose:
print(">>> sync_ene: calculating energy distribution")
fm_s = sync_ene(4,photon_energy_array,
ec_ev=self.get_magnetic_structure().get_critical_energy(self.get_electron_beam().energy()),
e_gev=self.get_electron_beam().energy(),
i_a=self.get_electron_beam().current(),
hdiv_mrad=1,
psi_min=angle_array_mrad.min(),
psi_max=angle_array_mrad.max(),
psi_npoints=angle_array_mrad.size,
polarization=1)
fm_p = sync_ene(4,photon_energy_array,
ec_ev=self.get_magnetic_structure().get_critical_energy(self.get_electron_beam().energy()),
e_gev=self.get_electron_beam().energy(),
i_a=self.get_electron_beam().current(),
hdiv_mrad=1,
psi_min=angle_array_mrad.min(),
psi_max=angle_array_mrad.max(),
psi_npoints=angle_array_mrad.size,
polarization=2)
fm = fm_s + fm_p
if verbose:
print(">>> DONE sync_ene: calculating energy distribution",photon_energy_array.shape,fm.shape)
from srxraylib.plot.gol import plot,plot_image
plot(photon_energy_array,fm[fm.shape[0]//2,:],xtitle="Energy / eV",ytitle="Flux at zero elevation")
plot(angle_array_mrad, fm[:,0], xtitle="Angle / mrad", ytitle="Flux at Emin="%(photon_energy_array[0]))
print(">>>>>>>",fm.shape,angle_array_mrad.shape,photon_energy_array.shape)
plot_image(fm,angle_array_mrad,photon_energy_array,aspect='auto',show=0,title="flux",xtitle="Psi / mrad",ytitle="Energy / eV")
plot_image(fm_s/fm,angle_array_mrad,photon_energy_array,aspect='auto',title="polarization",xtitle="Psi / mrad",ytitle="Energy / eV")
fm1 = numpy.zeros_like(fm)
for i in range(fm.shape[0]):
fm1[i,:] = fm[i,:] / (photon_energy_array*0.001) # in photons/ev
# plot_image(fm,angle_array_mrad,photon_energy_array,aspect='auto',show=0)
# plot_image(fm_s/fm,angle_array_mrad,photon_energy_array,aspect='auto',title="polarization")
sampler2 = Sampler2D(fm1,angle_array_mrad*1e-3,photon_energy_array)
sampled_angle,sampled_photon_energy = sampler2.get_n_sampled_points(NRAYS)
Angle_array_mrad = numpy.outer(angle_array_mrad,numpy.ones_like(photon_energy_array))
Photon_energy_array = numpy.outer(numpy.ones_like(angle_array_mrad),photon_energy_array)
Pi = numpy.array([Angle_array_mrad.flatten()*1e-3, Photon_energy_array.flatten()]).transpose()
P = numpy.array([sampled_angle, sampled_photon_energy]).transpose()
sampled_polarization = interpolate.griddata(Pi, (fm_s/fm).flatten(), P, method = "cubic")
for itik in range(NRAYS):
# ! Synchrontron depth
ANGLE = numpy.random.random() * (HDIV1 + HDIV2) - HDIV2
EPSI_PATH = numpy.abs(r_aladdin) * ANGLE
if self.get_magnetic_structure()._FLAG_EMITTANCE:
sigma_x, sigma_xp, sigma_z, sigma_zp = self.get_electron_beam().get_sigmas_all()
# ! calculation of the electrom beam moments at the current position
# ! (sX,sZ) = (epsi_wx,epsi_ez):
# ! <x2> = sX^2 + sigmaX^2
# ! <x x'> = sX sigmaXp^2
# ! <x'2> = sigmaXp^2 (same for Z)
epsi_wX = EPSI_DX + EPSI_PATH # sigma_x * sigma_xp
# ! C
# ! C Compute the actual distance (EPSI_W*) from the orbital focus
# ! C
# EPSI_WX = EPSI_DX + EPSI_PATH
# EPSI_WZ = EPSI_DZ + EPSI_PATH
rSigmaX = numpy.sqrt( (epsi_wX**2) * (sigma_xp**2) + sigma_x**2 )
rSigmaXp = sigma_xp
if rSigmaX * rSigmaXp != 0.0:
rhoX = epsi_wX * sigma_xp**2 / (rSigmaX * rSigmaXp)
else:
rhoX = 0.0
mean = [0, 0]
cov = [[rSigmaX**2, rhoX*rSigmaX*rSigmaXp], [rhoX*rSigmaX*rSigmaXp, rSigmaXp**2]] # diagonal covariance
sampled_x, sampled_xp = numpy.random.multivariate_normal(mean, cov, 1).T
# plot_scatter(sampled_x,sampled_xp,title="X")
XXX = sampled_x
E_BEAM1 = sampled_xp
epsi_wZ = EPSI_DZ + EPSI_PATH # sigma_z * sigma_zp
rSigmaZ = numpy.sqrt( (epsi_wZ**2) * (sigma_zp**2) + sigma_z**2 )
rSigmaZp = sigma_zp
if rSigmaZ * rSigmaZp != 0.0:
rhoZ = epsi_wZ * sigma_zp**2 / (rSigmaZ * rSigmaZp)
else:
rhoZ = 0.0
mean = [0, 0]
cov = [[rSigmaZ**2, rhoZ*rSigmaZ*rSigmaZp], [rhoZ*rSigmaZ*rSigmaZp, rSigmaZp**2]] # diagonal covariance
sampled_z, sampled_zp = numpy.random.multivariate_normal(mean, cov, 1).T
# plot_scatter(sampled_z,sampled_zp,title="Z")
ZZZ = sampled_z
E_BEAM3 = sampled_zp
# print(">>>>>>>>>",sampled_x,sampled_z)
else:
sigma_x, sigma_xp, sigma_z, sigma_zp = (0.0, 0.0, 0.0, 0.0)
rhoX = 0.0
XXX = 0.0
E_BEAM1 = 0.0
ZZZ = 0.0
E_BEAM3 = 0.0
# ! C
# ! C Synchrotron depth distribution
# ! C
# 440 CONTINUE
# ! CC R_ALADDIN NEGATIVE FOR COUNTER-CLOCKWISE SOURCE
# IF (R_ALADDIN.LT.0) THEN
# YYY = (ABS(R_ALADDIN) + XXX) * SIN(ANGLE)
# ELSE
# YYY = ( R_ALADDIN - XXX) * SIN(ANGLE)
# END IF
# XXX = COS(ANGLE) * XXX + R_ALADDIN * (1.0D0 - COS(ANGLE))
# Synchrotron depth distribution
# R_ALADDIN NEGATIVE FOR COUNTER-CLOCKWISE SOURCE
if r_aladdin < 0:
YYY = numpy.abs(r_aladdin + XXX) * numpy.sin(ANGLE)
else:
YYY = numpy.abs(r_aladdin - XXX) * numpy.sin(ANGLE)
XXX = numpy.cos(ANGLE) * XXX + r_aladdin * (1.0 - numpy.cos(ANGLE))
rays[itik,0] = XXX
rays[itik,1] = YYY
rays[itik,2] = ZZZ
# ! C
# ! C Synchrotron source
# ! C Note. The angle of emission IN PLANE is the same as the one used
# ! C before. This will give rise to a source curved along the orbit.
# ! C The elevation angle is instead characteristic of the SR distribution.
# ! C The electron beam emittance is included at this stage. Note that if
# ! C EPSI = 0, we'll have E_BEAM = 0.0, with no changes.
# ! C
# ANGLEX = ANGLE + E_BEAM(1)
# DIREC(1) = TAN(ANGLEX)
# IF (R_ALADDIN.LT.0.0D0) DIREC(1) = - DIREC(1)
# DIREC(2) = 1.0D0
# ARG_ANG = GRID(6,ITIK)
ANGLEX = ANGLE + E_BEAM1
DIREC1 = numpy.tan(ANGLEX)
if r_aladdin < 0:
DIREC1 *= -1.0
DIREC2 = 1.0
ARG_ANG = numpy.random.random()
# ! C
# ! C In the case of SR, we take into account the fact that the electron
# ! C trajectory is not orthogonal to the field. This will give a correction
# ! C to the photon energy. We can write it as a correction to the
# ! C magnetic field strength; this will linearly shift the critical energy
# ! C and, with it, the energy of the emitted photon.
# ! C
# E_TEMP(3) = TAN(E_BEAM(3))/COS(E_BEAM(1))
# E_TEMP(2) = 1.0D0
# E_TEMP(1) = TAN(E_BEAM(1))
# CALL NORM (E_TEMP,E_TEMP)
# CORREC = SQRT(1.0D0-E_TEMP(3)**2)
# 4400 CONTINUE
E_TEMP3 = numpy.tan(E_BEAM3) / numpy.cos(E_BEAM1)
E_TEMP2 = 1.0
E_TEMP1 = numpy.tan(E_BEAM1)
E_TEMP_MOD = numpy.sqrt(E_TEMP1**2 + E_TEMP2**2 + E_TEMP3**2)
E_TEMP3 /= E_TEMP_MOD
E_TEMP2 /= E_TEMP_MOD
E_TEMP1 /= E_TEMP_MOD
# IF (FDISTR.EQ.6) THEN ! exect synchtotron
# CALL ALADDIN1 (ARG_ANG,ANGLEV,F_POL,IER)
# Q_WAVE = TWOPI*PHOTON(1)/TOCM*CORREC
# POL_DEG = ARG_ANG
# ELSE IF (FDISTR.EQ.4) THEN ! synchrotron
# print*,"R_MAGNET, DIREC",R_MAGNET,DIREC
# ARG_ENER = WRAN (ISTAR1)
# RAD_MIN = ABS(R_MAGNET)
#
# i1 = 1
# arg_ener = 0.5
# arg_ang = 0.5
# CALL WHITE (RAD_MIN,CORREC,ARG_ENER,ARG_ANG,Q_WAVE,ANGLEV,POL_DEG,i1)
#
# print*,"RAD_MIN,CORREC,ARG_ENER,ARG_ANG,Q_WAVE,ANGLEV,POL_DEG",RAD_MIN,CORREC,ARG_ENER,ARG_ANG,Q_WAVE,ANGLEV,POL_DEG
# !Q_WAVE = TWOPI*PHOTON(1)/TOCM*CORREC
# print*,"ENER,ANGLEV: ",Q_WAVE*TOCM/TWOPI,ANGLEV
# END IF
# interpolate for the photon energy,vertical angle,and the degree of polarization.
wavelength = codata.h * codata.c / codata.e / sampled_photon_energy[itik]
Q_WAVE = 2 * numpy.pi / (wavelength*1e2)
ANGLEV = sampled_angle[itik]
POL_DEG = sampled_polarization[itik]
# IF (ANGLEV.LT.0.0) I_CHANGE = -1
# ANGLEV = ANGLEV + E_BEAM(3)
if ANGLEV < 0:
I_CHANGE = -1
ANGLEV += E_BEAM3
# ------ NOT LONGER DONE ------
# ! C
# ! C Test if the ray is within the specified limits
# ! C
# IF (FGRID.EQ.0.OR.FGRID.EQ.2) THEN
# IF (ANGLEV.GT.VDIV1.OR.ANGLEV.LT.-VDIV2) THEN
# ARG_ANG = WRAN(ISTAR1)
# ! C
# ! C If it is outside the range, then generate another ray.
# ! C
# GO TO 4400
# END IF
# END IF
# DIREC(3) = TAN(ANGLEV)/COS(ANGLEX)
# CALL NORM (DIREC,DIREC)
DIREC3 = numpy.tan(ANGLEV) / numpy.cos(ANGLEX)
DIREC_MOD = numpy.sqrt(DIREC1**2 + DIREC2**2 + DIREC3**2)
DIREC3 /= DIREC_MOD
DIREC2 /= DIREC_MOD
DIREC1 /= DIREC_MOD
# print(">>>>DIREC,FGRID,R_ALADDIN: ",itik,DIREC1,DIREC2,DIREC3)
rays[itik,3] = DIREC1
rays[itik,4] = DIREC2
rays[itik,5] = DIREC3
#
# electric field vectors (cols 7-9, 16-18) and phases (cols 14-15)
#
# ! C
# ! C ---------------------------------------------------------------------
# ! C POLARIZATION
# ! C
# ! C Generates the polarization of the ray. This is defined on the
# ! C source plane, so that A_VEC is along the X-axis and AP_VEC is along Z-axis.
# ! C Then care must be taken so that A will be perpendicular to the ray
# ! C direction.
# ! C
# ! C
# A_VEC(1) = 1.0D0
# A_VEC(2) = 0.0D0
# A_VEC(3) = 0.0D0
DIREC = rays[:,3:6].copy()
A_VEC = numpy.zeros_like(DIREC)
A_VEC[:,0] = 1.0
# ! C
# ! C Rotate A_VEC so that it will be perpendicular to DIREC and with the
# ! C right components on the plane.
# ! C
# CALL CROSS (A_VEC,DIREC,A_TEMP)
A_TEMP = self.__cross(A_VEC, DIREC)
# CALL CROSS (DIREC,A_TEMP,A_VEC)
A_VEC = self.__cross(DIREC, A_TEMP)
# CALL NORM (A_VEC,A_VEC)
A_VEC = self.__norm(A_VEC)
# CALL CROSS (A_VEC,DIREC,AP_VEC)
AP_VEC = self.__cross(A_VEC, DIREC)
# CALL NORM (AP_VEC,AP_VEC)
AP_VEC = self.__norm(AP_VEC)
#
# obtain polarization for each ray (interpolation)
#
POL_DEG = sampled_polarization
DENOM = numpy.sqrt(1.0 - 2.0 * POL_DEG + 2.0 * POL_DEG**2)
AX = POL_DEG/DENOM
for i in range(3):
A_VEC[:,i] *= AX
AZ = (1.0-POL_DEG)/DENOM
for i in range(3):
AP_VEC[:,i] *= AZ
rays[:,6:9] = A_VEC
rays[:,15:18] = AP_VEC
#
# ! C
# ! C Now the phases of A_VEC and AP_VEC.
# ! C
#
POL_ANGLE = 0.5 * numpy.pi # TO BE CHECKED
if F_COHER == 1:
PHASEX = 0.0
else:
PHASEX = numpy.random.random(NRAYS) * 2 * numpy.pi
# PHASEZ = PHASEX + POL_ANGLE * numpy.sign(ANGLEV)
rays[:,13] = 0.0 # PHASEX
rays[:,14] = 0.0 # PHASEZ
# set flag (col 10)
rays[:,9] = 1.0
#
# photon energy (col 11)
#
# A2EV = 2.0*numpy.pi/(codata.h*codata.c/codata.e*1e2)
# sampled_photon_energy = sampled_photon_energy
wavelength = codata.h * codata.c / codata.e /sampled_photon_energy
Q_WAVE = 2 * numpy.pi / (wavelength*1e2)
rays[:,10] = Q_WAVE # sampled_photon_energy * A2EV
# col 12 (ray index)
rays[:,11] = 1 + numpy.arange(NRAYS)
# col 13 (optical path)
rays[:,11] = 0.0
POL_ANGLE = 0.5 * numpy.pi
if F_COHER == 1:
PHASEX = 0.0
else:
PHASEX = numpy.random.random(NRAYS) * 2 * numpy.pi
PHASEZ = PHASEX + POL_ANGLE * numpy.sign(ANGLEV)
rays[:,13] = PHASEX
rays[:,14] = PHASEZ
return rays
