Wavefront propagation simulation tutorial - Case 1¶
L.Samoylova liubov.samoylova@xfel.eu, A.Buzmakov buzmakov@gmail.com
Tutorial course on Wavefront Propagation Simulations, 28/11/2013, European XFEL, Hamburg. Updated for using new syntax 28/11/2015
Wave optics software is based on SRW core library https://github.com/ochubar/SRW, available through WPG interactive framework https://github.com/samoylv/WPG
Propagation through CRLs optics¶
Import modules¶
%matplotlib inline
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from __future__ import unicode_literals
#Importing necessary modules:
import os
import sys
import copy
sys.path.insert(0,os.path.join('..','..'))
#sys.path.insert('../..')
import time
import numpy as np
import pylab as plt
if sys.version_info[0] ==3:
import pickle
else:
import cPickle as pickle
import errno
#import SRW core functions
from wpg.srwlib import srwl, srwl_opt_setup_CRL, SRWLOptD, SRWLOptA, SRWLOptC, SRWLOptT
#import SRW auxiliary functions
from wpg.useful_code.srwutils import AuxTransmAddSurfHeightProfileScaled
#import some helpers functions
from wpg.useful_code.wfrutils import calculate_fwhm_x, plot_wfront, calculate_fwhm_y, print_beamline, get_mesh, plot_1d, plot_2d
from wpg.wpg_uti_wf import propagate_wavefront
from wpg.wpg_uti_oe import show_transmission
#from wpg.useful_code.wfrutils import propagate_wavefront
#Import base wavefront class
from wpg import Wavefront
#Import base beamline class and OE wrappers
from wpg.beamline import Beamline
from wpg.optical_elements import Empty, Use_PP
from wpg.optical_elements import Drift,Aperture, Lens,Mirror_elliptical,WF_dist,calculateOPD
#Gaussian beam generator
from wpg.generators import build_gauss_wavefront_xy
plt.ion()
Use or not new syntax¶
NEW_SYNTAX = True
Define auxiliary functions¶
def calculate_source_fwhm(ekev, theta_fwhm):
"""
Calculate source size from photon energy and FWHM angular divergence
:param evev: Energy in keV
:param theta_fwhm: theta_fwhm [units?]
"""
wl = 12.39e-10/ekev
k = 2 * np.sqrt(2*np.log(2))
theta_sigma = theta_fwhm /k
sigma0 = wl /(2*np.pi*theta_sigma)
return sigma0*k
def calculate_theta_fwhm_cdr(ekev,qnC):
"""
Calculate angular divergence using formula from XFEL CDR2011
:param ekev: Energy in keV
:param qnC: e-bunch charge, [nC]
:return: theta_fwhm [units?]
"""
theta_fwhm = (17.2 - 6.4 * np.sqrt(qnC))*1e-6/ekev**0.85
return theta_fwhm
def defineOPD(opTrErMirr, mdatafile, ncol, delim, Orient, theta, scale):
"""
Define optical path difference (OPD) from mirror profile, i.e. ill the struct opTrErMirr
:params mdatafile: an ascii file with mirror profile data
:params ncol: number of columns in the file
:params delim: delimiter between numbers in an row, can be space (' '), tab '\t', etc
:params orient: mirror orientation, 'x' (horizontal) or 'y' (vertical)
:params theta: incidence angle
:params scale: scaling factor for the mirror profile
"""
heightProfData = np.loadtxt(mdatafile).T
AuxTransmAddSurfHeightProfileScaled(opTrErMirr, heightProfData, Orient, theta, scale)
plt.figure()
plot_1d(heightProfData,'profile from ' + mdatafile,'x (m)', 'h (m)')
def calc_sampling(zoom,mf):
"""
This function calculates sampling.
:param zoom: range zoom
:param mf: modification factor for step, i.e. dx1=mf*dx0
:return: sampling.
"""
sampling = zoom/mf;
print('zoom:{:.1f}; mod_factor:{:.1f}; sampling:{:.1f}'.format(zoom, mf, sampling))
return sampling
def _save_object(obj, file_name):
"""
Save any python object to file.
:param: obj : - python objest to be saved
:param: file_name : - output file, wil be overwrite if exists
"""
with open(file_name,'wb') as f:
pickle.dump(obj, f)
def _load_object(file_name):
"""
Save any python object to file.
:param: file_name : - output file, wil be overwrite if exists
:return: obj : - loaded pthon object
"""
res = None
with open(file_name,'rb') as f:
res = pickle.load(f)
return res
def mkdir_p(path):
"""
Create directory with subfolders (like Linux mkdir -p)
:param path: Path to be created
"""
try:
os.makedirs(path)
except OSError as exc: # Python >2.5
if exc.errno == errno.EEXIST and os.path.isdir(path):
pass
else: raise
def create_CRL(directory=None, voids_params=None, *args, **keywrds):
"""
This function build CLR or load it from file if it was created beforehand.
Out/input filename builded as sequence of function parameters.
Adiitinal parameters (*args) passed to srwlib.srwl_opt_setup_CRL function
:param directory: output directory to save file.
:param voids_params: void params to build CRL and construct unique file name
:return: SRWL CRL object
"""
if not isinstance(voids_params,tuple):
raise TypeError('Voids_params must be tuple')
file_name = '_'.join([str(a) for a in args[:-1]])
subdir_name = '_'.join([str(v) for v in voids_params])
if directory is None:
full_path = os.path.join(subdir_name,file_name+'.pkl')
else:
full_path = os.path.join(directory, subdir_name, file_name+'.pkl')
if os.path.isfile(full_path):
print('Found file {}. CLR will be loaded from file'.format(full_path))
res = _load_object(full_path)
return res
else:
print('CLR file NOT found. CLR will be recalculated and saved in file {}'.format(full_path))
res = srwlib.srwl_opt_setup_CRL(*args)
mkdir_p(os.path.dirname(full_path))
_save_object(res, full_path)
return res
def create_CRL1(directory,file_name,*args, **keywrds):
"""
This function build CLR or load it from file.
Out/input filename builded as sequence of function parameters.
Adiitinal parameters (*args) passed to srwlib.srwl_opt_setup_CRL function
:param directory: output directory
:param fiel_name: CRL file name
:return: SRWL CRL object
"""
full_path = os.path.join(directory, file_name+'.pkl')
if os.path.isfile(full_path):
print('Found file {}. CLR will be loaded from file'.format(full_path))
res = _load_object(full_path)
return res
else:
print('CLR file NOT found. CLR will be recalculated and saved in file {}'.format(full_path))
res = srwl_opt_setup_CRL(*args)
mkdir_p(os.path.dirname(full_path))
_save_object(res, full_path)
return res
Defining initial wavefront and writing electric field data to h5-file¶
print('*****defining initial wavefront and writing electric field data to h5-file...')
strInputDataFolder ='data_common' # sub-folder name for common input data
strDataFolderName = 'Tutorial_case_1' # output data sub-folder name
if not os.path.exists(strDataFolderName):
mkdir_p(strDataFolderName)
d2crl1_sase1 = 235.0 # Distance to CRL1 on SASE1 [m]
d2crl1_sase2 = 235.0 # Distance to CRL1 on SASE2 [m]
d2m1_sase1 = 246.5 # Distance to mirror1 on SASE1 [m]
d2m1_sase2 = 290.0 # Distance to mirror1 on SASE2 [m]
ekev = 6.742 # Energy [keV]
thetaOM = 2.5e-3 # @check!
# e-bunch charge, [nC]; total pulse energy, J
#qnC = 0.02;pulse_duration = 1.7e-15;pulseEnergy = 0.08e-3
#coh_time = 0.24e-15
qnC = 0.1; # e-bunch charge, [nC]
pulse_duration = 9.e-15;
pulseEnergy = 0.5e-3; # total pulse energy, J
coh_time = 0.24e-15
d2m1 = d2m1_sase2
d2crl1 = d2crl1_sase2
z1 = d2crl1
theta_fwhm = calculate_theta_fwhm_cdr(ekev,qnC)
k = 2*np.sqrt(2*np.log(2))
sigX = 12.4e-10*k/(ekev*4*np.pi*theta_fwhm)
print('sigX, waist_fwhm [um], far field theta_fwhms [urad]: {}, {},{}'.format(
sigX*1e6, sigX*k*1e6, theta_fwhm*1e6)
)
#define limits
range_xy = theta_fwhm/k*z1*7. # sigma*7 beam size
npoints=180
wfr0 = build_gauss_wavefront_xy(npoints, npoints, ekev, -range_xy/2, range_xy/2,
-range_xy/2, range_xy/2 ,sigX, sigX, z1,
pulseEn=pulseEnergy, pulseTau=coh_time/np.sqrt(2),
repRate=1/(np.sqrt(2)*pulse_duration))
mwf = Wavefront(wfr0)
ip = np.floor(ekev)
frac = np.floor((ekev - ip)*1e3)
ename = str(int(ip))+'_'+str(int(frac))+'kev'
fname0 = 'g' + ename
ifname = os.path.join(strDataFolderName,fname0+'.h5')
print('save hdf5: '+fname0+'.h5')
mwf.store_hdf5(ifname)
print('done')
pow_x=plot_wfront(mwf, 'at '+str(z1)+' m',False, False, 1e-5,1e-5,'x', True, saveDir='./'+strDataFolderName)
plt.set_cmap('bone') #set color map, 'bone', 'hot', 'jet', etc
fwhm_x = calculate_fwhm_x(mwf);fwhm_y = calculate_fwhm_y(mwf)
print('FWHMx [mm], theta_fwhm=fwhm_x/z1 [urad], distance to waist: {}, {}'.format(
fwhm_x*1e3,fwhm_x/z1*1e6)
)
*****defining initial wavefront and writing electric field data to h5-file...
sigX, waist_fwhm [um], far field theta_fwhms [urad]: 11.499788231945866, 27.079931842197144,2.9970290603902483
save hdf5: g6_742kev.h5
done
FWHMx [mm]: 0.69007789015
FWHMy [mm]: 0.69007789015
Coordinates of center, [mm]: 0.00584811771314 0.00584811771314
stepX, stepY [um]: 11.696235426275774 11.696235426275774
Total power (integrated over full range): 54.4369 [GW]
Peak power calculated using FWHM: 52.4365 [GW]
Max irradiance: 96.7817 [GW/mm^2]
R-space
FWHMx [mm], theta_fwhm=fwhm_x/z1 [urad], distance to waist: 0.6900778901502707, 2.9365016602139176
print(pow_x[:,1].max())
print ('I_o {} [GW/mm^2]'.format((pow_x[:,1].max()*1e-9)))
print ('peak power {} [GW]'.format((pow_x[:,1].max()*1e-9*1e6*2*np.pi*(fwhm_x/2.35)**2)))
96781656064.0
I_o 96.781656064 [GW/mm^2]
peak power 52.436466558883836 [GW]
Defining optical beamline(s)¶
print('*****Defining optical beamline(s) ...')
#***********CRLs
nCRL1 = 1 #number of lenses, collimating
nCRL2 = 8
delta = 7.511e-06
attenLen = 3.88E-3
diamCRL = 3.58e-03 #CRL diameter
#rMinCRL = 3.3e-03 #CRL radius at the tip of parabola [m]
rMinCRL = 2*delta*z1/nCRL1
wallThickCRL = 30e-06 #CRL wall thickness [m]
#Generating a perfect 2D parabolic CRL:
#opCRL1 = srwlib.srwl_opt_setup_CRL(3, delta, attenLen, 1,
# diamCRL, diamCRL, rMinCRL, nCRL, wallThickCRL, 0, 0)
opCRL1 = create_CRL1(strDataFolderName,
'opd_CRL1_'+str(nCRL1)+'_R'+str(int(rMinCRL*1e6))+'_'+ename,
3,delta,attenLen,1,diamCRL,diamCRL,rMinCRL,nCRL1,wallThickCRL,0,0,None)
#opCRL1 = srwl_opt_setup_CRL(3, delta, attenLen, 1,
# diamCRL, diamCRL, rMinCRL, nCRL1, wallThickCRL, 0, 0)
#Saving transmission data to file
#AuxSaveOpTransmData(opCRL1, 3, os.path.join(os.getcwd(), strDataFolderName, "opt_path_dif_CRL1.dat"))
opCRL2 = create_CRL1(strDataFolderName,
'opd_CRL2_'+str(nCRL2)+'_R'+str(int(rMinCRL*1e6))+'_'+ename,
3,delta,attenLen,1,diamCRL,diamCRL,rMinCRL,nCRL2,wallThickCRL,0,0,None)
scale = 1 #5 mirror profile scaling factor
horApM1 = 0.8*thetaOM
#d2crl2_sase1 = 904.0
d2crl2_sase2 = 931.0
d2exp_sase1 = 904.0
d2exp_sase2 = 942.0
d2crl2 = d2crl2_sase2
d2exp = d2exp_sase2
z2 = d2m1 - d2crl1
z3 = d2crl2 - d2m1
#z3 = d2exp - d2m1
z4 = rMinCRL/(2*delta*nCRL2)
if not NEW_SYNTAX:
opApCRL1 = SRWLOptA('c','a',range_xy,range_xy) # circular collimating CRL(s) aperture
opApM1 = SRWLOptA('r', 'a', horApM1, range_xy) # clear aperture of the Offset Mirror(s)
DriftCRL1_M1 = SRWLOptD(z2) #Drift from CRL1 to the first offset mirror (M1)
DriftM1_Exp = SRWLOptD(z3) #Drift from M1 to exp hall
Drift_Sample = SRWLOptD(z4) #Drift from focusing CRL2 to focal plane
#Wavefront Propagation Parameters:
#[0]: Auto-Resize (1) or not (0) Before propagation
#[1]: Auto-Resize (1) or not (0) After propagation
#[2]: Relative Precision for propagation with Auto-Resizing (1. is nominal)
#[3]: Allow (1) or not (0) for semi-analytical treatment of quadratic phase terms at propagation
#[4]: Do any Resizing on Fourier side, using FFT, (1) or not (0)
#[5]: Horizontal Range modification factor at Resizing (1. means no modification)
#[6]: Horizontal Resolution modification factor at Resizing
#[7]: Vertical Range modification factor at Resizing
#[8]: Vertical Resolution modification factor at Resizing
#[9]: Type of wavefront Shift before Resizing (not yet implemented)
#[10]: New Horizontal wavefront Center position after Shift (not yet implemented)
#[11]: New Vertical wavefront Center position after Shift (not yet implemented)
# [ 0] [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11]
ppCRL1 = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDriftCRL1_M1 = [ 0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppM1 = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDriftM1_Exp = [ 0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
ppTrErM1 = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppCRL2 = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDrift_Sample = [ 0, 0, 1.0, 1, 0, 1.8, 1.5, 1.8, 1.5, 0, 0, 0]
ppFin = [ 0, 0, 1.0, 0, 0, 0.01, 5.0, 0.01, 5.0, 0, 0, 0]
optBL0 = SRWLOptC([opCRL1, DriftCRL1_M1,opApM1, DriftM1_Exp],
[ppCRL1,ppDriftCRL1_M1, ppM1,ppDriftM1_Exp])
print('*****HOM1 data for BL1 beamline ')
opTrErM1 = SRWLOptT(1500, 100, horApM1, range_xy)
#defineOPD(opTrErM1, os.path.join(strInputDataFolder,'mirror1.dat'), 2, '\t', 'x', thetaOM, scale)
defineOPD(opTrErM1, os.path.join(strInputDataFolder,'mirror2.dat'), 2, ' ', 'x', thetaOM, scale)
opdTmp=np.array(opTrErM1.arTr)[1::2].reshape(opTrErM1.mesh.ny,opTrErM1.mesh.nx)
plt.figure()
plot_2d(opdTmp, opTrErM1.mesh.xStart*1e3,opTrErM1.mesh.xFin*1e3,
opTrErM1.mesh.yStart*1e3,opTrErM1.mesh.yFin*1e3,'OPD [m]', 'x (mm)', 'y (mm)')
optBL1 = SRWLOptC([opCRL1, DriftCRL1_M1,opApM1,opTrErM1, DriftM1_Exp],
[ppCRL1,ppDriftCRL1_M1, ppM1,ppTrErM1,ppDriftM1_Exp])
optBL2 = SRWLOptC([opCRL1, DriftCRL1_M1,opApM1,opTrErM1, DriftM1_Exp, opCRL2,Drift_Sample],
[ppCRL1,ppDriftCRL1_M1, ppM1,ppTrErM1,ppDriftM1_Exp, ppCRL2, ppDrift_Sample,ppFin])
else:
optBL0 = Beamline()
#optBL0.append(Aperture(shape='c',ap_or_ob='a',Dx=range_xy), Use_PP())# circular CRL aperture
optBL0.append(opCRL1, Use_PP())
optBL0.append(Drift(z2), Use_PP(semi_analytical_treatment=1))
optBL0.append(Aperture(shape='r',ap_or_ob='a',Dx=horApM1,Dy=range_xy),
Use_PP())
optBL0.append(Drift(z3), Use_PP(semi_analytical_treatment=1, zoom=2.4, sampling=1.8))
show_transmission(opCRL1)
opOPD_M1 = calculateOPD(WF_dist(nx=1500,ny=100,Dx=horApM1,Dy=range_xy),
os.path.join(strInputDataFolder,'mirror2.dat'),
2, ' ', 'x', thetaOM, scale)
show_transmission(opOPD_M1)
optBL1 = Beamline()
#optBL1.append(Aperture(shape='c',ap_or_ob='a',Dx=range_xy), Use_PP())# circular CRL aperture
optBL1.append(opCRL1, Use_PP())
optBL1.append(Drift(z2), Use_PP(semi_analytical_treatment=1))
optBL1.append(Aperture(shape='r',ap_or_ob='a',Dx=horApM1,Dy=range_xy),
Use_PP())
optBL1.append(Aperture(shape='r',ap_or_ob='a',Dx=horApM1,Dy=range_xy),
Use_PP())
optBL1.append(opOPD_M1,Use_PP())
optBL1.append(Drift(z3),
Use_PP(semi_analytical_treatment=1, zoom=2.4, sampling=1.8))
show_transmission(opCRL2)
optBL2 = copy.deepcopy(optBL1)
optBL2.append(opCRL2, Use_PP())
optBL2.append(Drift(z4), Use_PP(semi_analytical_treatment=1, zoom=1.5, sampling=1.8))
zoom=0.02; optBL2.append(Empty(),
Use_PP(fft_resizing=1,zoom=zoom, sampling=calc_sampling(zoom=zoom,mf=0.01)))
*****Defining optical beamline(s) ...
Found file Tutorial_case_1/opd_CRL1_1_R3530_6_742kev.pkl. CLR will be loaded from file
Found file Tutorial_case_1/opd_CRL2_8_R3530_6_742kev.pkl. CLR will be loaded from file
zoom:0.0; mod_factor:0.0; sampling:2.0
Propagating through BL0 beamline. Collimating CRL and ideal mirror¶
print('*****Collimating CRL and ideal mirror')
bPlotted = False
isHlog = False
isVlog = False
bSaved = True
optBL = optBL0
strBL = 'bl0'
pos_title = 'at exp hall wall'
print('*****setting-up optical elements, beamline:'+ strBL)
if not NEW_SYNTAX:
bl = Beamline(optBL)
else:
bl = optBL
print(bl)
if bSaved:
out_file_name = os.path.join(strDataFolderName, fname0+'_'+strBL+'.h5')
print('save hdf5:'+ out_file_name)
else:
out_file_name = None
startTime = time.time()
mwf = propagate_wavefront(ifname, bl,out_file_name)
print('propagation lasted: {} min'.format(round((time.time() - startTime) / 6.) / 10.))
*****Collimating CRL and ideal mirror
*****setting-up optical elements, beamline:bl0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 235.0
Fy = 235.0
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
L = 55.0
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
L = 641.0
treat = 0
save hdf5:Tutorial_case_1/g6_742kev_bl0.h5
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 235.0
Fy = 235.0
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
L = 55.0
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
L = 641.0
treat = 0
*****reading wavefront from h5 file...
R-space
nx 180 range_x [-1.0e+00, 1.0e+00] mm
ny 180 range_y [-1.0e+00, 1.0e+00] mm
*****propagating wavefront (with resizing)...
save hdf5: Tutorial_case_1/g6_742kev_bl0.h5
done
propagation lasted: 0.0 min
# bl.propagation_options[0]['optical_elements']
print('*****Collimating CRL and ideal mirror')
plot_wfront(mwf, 'at '+str(z1+z2+z3)+' m',False, False, 1e-4,1e-7,'x', True, saveDir='./'+strDataFolderName)
plt.set_cmap('bone') #set color map, 'bone', 'hot', 'jet', etc
plt.axis('tight')
print('FWHMx [mm], theta_fwhm [urad]: {}, {}'.format(calculate_fwhm_x(mwf)*1e3, calculate_fwhm_x(mwf)/(z1+z2)*1e6))
print('FWHMy [mm], theta_fwhm [urad]: {}, {}'.format(calculate_fwhm_y(mwf)*1e3, calculate_fwhm_y(mwf)/(z1+z2)*1e6))
*****Collimating CRL and ideal mirror
FWHMx [mm]: 0.684951762278
FWHMy [mm]: 0.697875380434
Coordinates of center, [mm]: 0.0129236181562 0.0387708544686
stepX, stepY [um]: 6.461809078096801 6.461809078096801
Total power (integrated over full range): 53.3003 [GW]
Peak power calculated using FWHM: 52.1573 [GW]
Max irradiance: 95.9032 [GW/mm^2]
R-space
FWHMx [mm], theta_fwhm [urad]: 0.6849517622782609, 2.3619026285457276
FWHMy [mm], theta_fwhm [urad]: 0.6978753804344545, 2.406466829084326
Propagating through BL1 beamline. Collimating CRL and imperfect mirror¶
print ('*****Collimating CRL and imperfect mirror')
bPlotted = False
isHlog = True
isVlog = False
bSaved = False
optBL = optBL1
strBL = 'bl1'
pos_title = 'at exp hall wall'
print('*****setting-up optical elements, beamline:' + strBL)
if not NEW_SYNTAX:
bl = Beamline(optBL)
else:
bl = optBL
print(bl)
if bSaved:
out_file_name = os.path.join(strDataFolderName, fname0+'_'+strBL+'.h5')
print('save hdf5: '+ out_file_name)
else:
out_file_name = None
startTime = time.time()
mwf = propagate_wavefront(ifname, bl,out_file_name)
print('propagation lasted: {} min'.format(round((time.time() - startTime) / 6.) / 10.))
*****Collimating CRL and imperfect mirror
*****setting-up optical elements, beamline:bl1
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 235.0
Fy = 235.0
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
L = 55.0
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1e+23
arTr = array of size 300000
extTr = 0
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1500
ny = 100
xFin = 0.001
xStart = -0.001
yFin = 0.00104681307065
yStart = -0.00104681307065
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
L = 641.0
treat = 0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 235.0
Fy = 235.0
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
L = 55.0
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1e+23
arTr = array of size 300000
extTr = 0
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1500
ny = 100
xFin = 0.001
xStart = -0.001
yFin = 0.00104681307065
yStart = -0.00104681307065
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
L = 641.0
treat = 0
*****reading wavefront from h5 file...
R-space
nx 180 range_x [-1.0e+00, 1.0e+00] mm
ny 180 range_y [-1.0e+00, 1.0e+00] mm
*****propagating wavefront (with resizing)...
done
propagation lasted: 0.0 min
print ('*****Collimating CRL and imperfect mirror')
plot_wfront(mwf, 'at '+str(z1+z2+z3)+' m',False, False, 1e-4,1e-7,'x', True, saveDir='./'+strDataFolderName)
plt.set_cmap('bone') #set color map, 'bone', 'hot', etc
plt.axis('tight')
print('FWHMx [mm], theta_fwhm [urad]: {}, {}'.format(
calculate_fwhm_x(mwf)*1e3,calculate_fwhm_x(mwf)/(z1+z2)*1e6))
print('FWHMy [mm], theta_fwhm [urad]: {}, {}'.format(
calculate_fwhm_y(mwf)*1e3,calculate_fwhm_y(mwf)/(z1+z2)*1e6))
*****Collimating CRL and imperfect mirror
FWHMx [mm]: 0.6784899532
FWHMy [mm]: 0.697875380434
Coordinates of center, [mm]: -0.187392463265 0.0387708544686
stepX, stepY [um]: 6.461809078096801 6.461809078096801
Total power (integrated over full range): 53.3003 [GW]
Peak power calculated using FWHM: 52.7227 [GW]
Max irradiance: 97.8661 [GW/mm^2]
R-space
FWHMx [mm], theta_fwhm [urad]: 0.6784899532001643, 2.3396205282764284
FWHMy [mm], theta_fwhm [urad]: 0.6978753804344545, 2.406466829084326
Propagating through BL2 beamline. Collimating CRL1, imperfect mirror, focusing CRL2¶
print ('*****Collimating CRL1, imperfect mirror, focusing CRL2')
bPlotted = False
isHlog = True
isVlog = False
bSaved = False
optBL = optBL2
strBL = 'bl2'
pos_title = 'at sample'
print('*****setting-up optical elements, beamline: {}'.format(strBL))
if not NEW_SYNTAX:
bl = Beamline(optBL)
else:
bl = optBL
print(bl)
if bSaved:
out_file_name = os.path.join(strDataFolderName, fname0+'_'+strBL+'.h5')
print('save hdf5: {}'.format(out_file_name))
else:
out_file_name = None
startTime = time.time()
mwf = propagate_wavefront(ifname, bl,out_file_name)
print('propagation lasted: {} min'.format(round((time.time() - startTime) / 6.) / 10.))
*****Collimating CRL1, imperfect mirror, focusing CRL2
*****setting-up optical elements, beamline: bl2
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 235.0
Fy = 235.0
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
L = 55.0
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1e+23
arTr = array of size 300000
extTr = 0
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1500
ny = 100
xFin = 0.001
xStart = -0.001
yFin = 0.00104681307065
yStart = -0.00104681307065
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
L = 641.0
treat = 0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 29.375
Fy = 29.375
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.5, 1.8, 1.5, 1.8, 0, 0, 0]
L = 29.375
treat = 0
Optical element: Empty.
This is empty propagator used for sampling and zooming wavefront
Prop. parameters = [0, 0, 1.0, 0, 1, 0.02, 2.0, 0.02, 2.0, 0, 0, 0]
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 235.0
Fy = 235.0
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
L = 55.0
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.002
Dy = 0.0020936261413
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1e+23
arTr = array of size 300000
extTr = 0
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1500
ny = 100
xFin = 0.001
xStart = -0.001
yFin = 0.00104681307065
yStart = -0.00104681307065
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
L = 641.0
treat = 0
Optical Element: Transmission (generic)
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 29.375
Fy = 29.375
arTr = array of size 2004002
extTr = 1
mesh = Radiation Mesh (Sampling)
arSurf = None
eFin = 0
eStart = 0
hvx = 1
hvy = 0
hvz = 0
ne = 1
nvx = 0
nvy = 0
nvz = 1
nx = 1001
ny = 1001
xFin = 0.0019690000000000003
xStart = -0.0019690000000000003
yFin = 0.0019690000000000003
yStart = -0.0019690000000000003
zStart = 0
Optical Element: Drift Space
Prop. parameters = [0, 0, 1.0, 1, 0, 1.5, 1.8, 1.5, 1.8, 0, 0, 0]
L = 29.375
treat = 0
Optical element: Empty.
This is empty propagator used for sampling and zooming wavefront
Prop. parameters = [0, 0, 1.0, 0, 1, 0.02, 2.0, 0.02, 2.0, 0, 0, 0]
*****reading wavefront from h5 file...
R-space
nx 180 range_x [-1.0e+00, 1.0e+00] mm
ny 180 range_y [-1.0e+00, 1.0e+00] mm
*****propagating wavefront (with resizing)...
done
propagation lasted: 0.2 min
print ('*****Collimating CRL1, imperfect mirror, focusing CRL2')
plot_wfront(mwf, 'at '+str(z1+z2+z3+z4)+' m',True, True, 1e-4,1e-6,'x', True, saveDir='./'+strDataFolderName)
#plt.set_cmap('bone') #set color map, 'bone', 'hot', etc
plt.axis('tight')
print('FWHMx [um], FWHMy [um]: {}, {}'.format(calculate_fwhm_y(mwf)*1e6,calculate_fwhm_y(mwf)*1e6))
*****Collimating CRL1, imperfect mirror, focusing CRL2
FWHMx[um]: 3.18983482886
FWHMy [um]: 3.6455255187
Coordinates of center, [mm]: 0.0 0.0
stepX, stepY [um]: 0.45569068983763483 0.45569068983763483
Total power (integrated over full range): 44.8729 [GW]
Peak power calculated using FWHM: 38.874 [GW]
Max irradiance: 2.93824e+06 [GW/mm^2]
R-space
FWHMx [um], FWHMy [um]: 3.6455255187010787, 3.6455255187010787
