Wavefront propagation simulation tutorial - Case 2¶
L.Samoylova liubov.samoylova@xfel.eu, A.Buzmakov buzmakov@gmail.com
Tutorial course on Wavefront Propagation Simulations, 28/11/2013, European XFEL, Hamburg.
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 Gaussian through HOM and KB optics: soft x-ray beamline¶
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
sys.path.insert(0,os.path.join('..','..'))
import time
import copy
import numpy as np
import pylab as plt
#import SRW core functions
from wpg.srwlib import srwl,SRWLOptD,SRWLOptA,SRWLOptC,SRWLOptT,SRWLOptL,SRWLOptMirEl
#import SRW helpers 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.useful_code.wfrutils import propagate_wavefront
#Import base wavefront class
from wpg import Wavefront
#Gaussian beam generator
from wpg.generators import build_gauss_wavefront_xy
from wpg import Beamline
from wpg.optical_elements import Empty, Use_PP
# Fix for SRWLib plotting
plt.ion()
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)')
Defining initial wavefront and writing electric field data to h5-file¶
# #**********************Input Wavefront Structure and Parameters
print('*****defining initial wavefront and writing electric field data to h5-file...')
strInputDataFolder = 'data_common' # input data sub-folder name
strOutputDataFolder = 'Tutorial_case_2' # output data sub-folder name
#init Gauusian beam parameters
d2m1_sase1 = 246.5
d2m1_sase2 = 290.0
d2m1_sase3 = 281.0
d2hkb_sase1 = 904.0
d2hkb_sase3 = 442.3
dHKB_foc_sase3 = 2.715 # nominal focal length for HFM KB
dVKB_foc_sase3 = 1.715 # nominal focal length for VFM KB
qnC = 0.1 # e-bunch charge, [nC]
ekev_sase3 = 0.8
thetaOM_sase3 = 9.e-3
thetaKB_sase3 = 9.e-3
ekev_sase1 = 8.0
thetaOM_sase1 = 2.5e-3 #
thetaKB_sase1 = 3.5e-3
ekev = ekev_sase3
thetaOM = thetaOM_sase3
d2m1 = d2m1_sase3
d2hkb = d2hkb_sase3
thetaKB = thetaKB_sase3
dhkb_foc = dHKB_foc_sase3 # nominal focal length for HFM KB
dvkb_foc = dVKB_foc_sase3 # nominal focal length for VFM KB
dhkb_vkb = dhkb_foc - dvkb_foc # distance between centers of HFM and VFM
z1 = d2m1
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('waist_fwhm [um], theta_fwhms [urad]:{}, {}'.format(sigX*k*1e6, theta_fwhm*1e6))
#define limits
range_xy = theta_fwhm/k*z1*5. # sigma*4 beam size
npoints=400
#define unique filename for storing results
ip = np.floor(ekev)
frac = np.floor((ekev - ip)*1e3)
fname0 = 'g' + str(int(ip))+'_'+str(int(frac))+'kev'
print('save hdf5: '+fname0+'.h5')
ifname = os.path.join(strOutputDataFolder,fname0+'.h5')
#build SRW gauusian wavefront
wfr0=build_gauss_wavefront_xy(nx=npoints, ny=npoints, ekev=ekev,
xMin=-range_xy/2 ,xMax=range_xy/2,
yMin=-range_xy/2, yMax=range_xy/2,
sigX=sigX, sigY=sigX, d2waist=z1)
#init WPG Wavefront helper class
mwf = Wavefront(wfr0)
#store wavefront to HDF5 file
mwf.store_hdf5(ifname)
#draw wavefront with common functions
plt.subplot(1,2,1)
plt.imshow(mwf.get_intensity(slice_number=0))
plt.subplot(1,2,2)
plt.imshow(mwf.get_phase(slice_number=0,polarization='horizontal'))
plt.show()
#draw wavefront with cuts
plot_wfront(mwf, title_fig='at '+str(z1)+' m',
isHlog=False, isVlog=False,
i_x_min=1e-5, i_y_min=1e-5, orient='x', onePlot=True)
plt.set_cmap('bone') #set color map, 'bone', 'hot', 'jet', etc
fwhm_x = calculate_fwhm_x(mwf)
print('FWHMx [mm], theta_fwhm [urad]: {}, {}'.format(fwhm_x*1e3,fwhm_x/z1*1e6))
*****defining initial wavefront and writing electric field data to h5-file...
waist_fwhm [um], theta_fwhms [urad]:37.282272901778825, 18.34572592382333
save hdf5: g0_800kev.h5
FWHMx [mm]: 5.13005725474
FWHMy [mm]: 5.13005725474
Coordinates of center, [mm]: 0.0137167306277 0.0137167306277
stepX, stepY [um]: 27.433461255317237 27.433461255317237
R-space
FWHMx [mm], theta_fwhm [urad]: 5.130057254744322, 18.25643151154563
Defining optical beamline(s)¶
print('*****Defining optical beamline(s) ...')
z2 = d2hkb - d2m1
DriftM1_KB = SRWLOptD(z2) #Drift from first offset mirror (M1) to exp hall
horApM1 = 0.8*thetaOM
opApM1 = SRWLOptA('r', 'a', horApM1, range_xy) # clear aperture of the Offset Mirror(s)
horApKB = 0.8 * thetaKB # Aperture of the KB system, CA 0.8 m
opApKB = SRWLOptA('r', 'a', horApKB, horApKB) # clear aperture of the Offset Mirror(s)
#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]
ppM1 = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppTrErM1 = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDriftM1_KB = [ 0, 0, 1.0, 1, 0, 2.4, 1.8, 2.4, 1.8, 0, 0, 0]
ppApKB = [ 0, 0, 1.0, 0, 0, 0.6, 8.0, 0.6, 4.0, 0, 0, 0]
ppHKB = [ 0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppTrErHKB = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDrift_HKB_foc = [ 0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDrift_KB = [ 0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppVKB = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppTrErVKB = [ 0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDrift_foc = [ 0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
#ppFin = [ 0, 0, 1.0, 0, 0, 0.05,5.0, 0.05,5.0, 0, 0, 0]
ppFin = [ 0, 0, 1.0, 0, 1, .01, 20.0, .01, 20.0, 0, 0, 0]
optBL0 = SRWLOptC([opApM1, DriftM1_KB],
[ppM1,ppDriftM1_KB])
scale = 2 #5 mirror profile scaling factor
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([opApM1,opTrErM1, DriftM1_KB],
[ppM1,ppTrErM1,ppDriftM1_KB])
dhkb_vkb = dhkb_foc - dvkb_foc # distance between centers of HFM and VFM
d2vkb = d2hkb + dhkb_vkb
vkbfoc = 1. /(1./dvkb_foc + 1. / d2vkb) # for thin lens approx
hkbfoc = 1. /(1./dhkb_foc + 1. / d2hkb) # for thin lens approx
z3 = dhkb_vkb
z4 = vkbfoc #distance to focal plane
#HKB = SRWLOptMirEl(_p=d2hkb, _q=dhkb_foc, _ang_graz=thetaKB, _r_sag=1.e+40, _size_tang=0.85, _nvx=cos(thetaKB), _nvy=0, _nvz=-sin(thetaKB), _tvx=-sin(thetaKB), _tvy=0, _x=0, _y=0, _treat_in_out=1) #HKB Ellipsoidal Mirror
#VKB = SRWLOptMirEl(_p=d2vkb, _q=dvkb_foc, _ang_graz=thetaKB, _r_sag=1.e+40, _size_tang=0.85, _nvx=0, _nvy=cos(thetaKB), _nvz=-sin(thetaKB), _tvx=0, _tvy=-sin(thetaKB), _x=0, _y=0, _treat_in_out=1) #VKB Ellipsoidal Mirror
HKB = SRWLOptL(hkbfoc) #HKB as Thin Lens
VKB = SRWLOptL(1e23,vkbfoc) #VKB as Thin Lens
Drift_KB = SRWLOptD(z3)
Drift_foc = SRWLOptD(z4)
optBL2 = SRWLOptC([opApM1,opTrErM1, DriftM1_KB,opApKB, HKB, Drift_KB, VKB, Drift_foc],
[ppM1,ppTrErM1,ppDriftM1_KB,ppApKB,ppHKB,ppDrift_KB,ppVKB,ppDrift_foc,ppFin])
*****Defining optical beamline(s) ...
*****HOM1 data for BL1 beamline
Propagating through BL0 beamline. Ideal mirror: HOM as an aperture¶
print('*****Ideal mirror: HOM as an aperture')
bPlotted = False
isHlog = False
isVlog = False
bSaved = True
optBL = optBL0
strBL = 'bl0'
pos_title = 'at exp hall wall'
print('*****setting-up optical elements, beamline: {}'.format(strBL))
bl = Beamline(optBL)
print(bl)
if bSaved:
out_file_name = os.path.join(strOutputDataFolder, 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.))
*****Ideal mirror: HOM as an aperture
*****setting-up optical elements, beamline: bl0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0109459510409
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 = 161.3
treat = 0
save hdf5: Tutorial_case_2/g0_800kev_bl0.h5
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0109459510409
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 = 161.3
treat = 0
*****reading wavefront from h5 file...
R-space
nx 400 range_x [-5.5e+00, 5.5e+00] mm
ny 400 range_y [-5.5e+00, 5.5e+00] mm
*****propagating wavefront (with resizing)...
save hdf5: Tutorial_case_2/g0_800kev_bl0.h5
done
propagation lasted: 0.1 min
print('*****Ideal mirror: HOM as an aperture')
plot_wfront(mwf, 'at '+str(z1+z2)+' m',False, False, 1e-5,1e-5,'x', True)
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))
*****Ideal mirror: HOM as an aperture
FWHMx [mm]: 8.5730592677
FWHMy [mm]: 8.1457466277
Coordinates of center, [mm]: 0.0342922370708 -0.15171161341
stepX, stepY [um]: 22.86149138052557 23.34024821691403
R-space
FWHMx [mm], theta_fwhm [urad]: 8.57305926769709, 19.38290587315643
FWHMy [mm], theta_fwhm [urad]:8.145746627702996, 18.41679092856205
Propagating through BL1 beamline. Imperfect mirror, at KB aperture¶
print ('*****Imperfect mirror, at KB aperture')
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)
bl = Beamline(optBL)
print(bl)
if bSaved:
out_file_name = os.path.join(strOutputDataFolder, 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:', round((time.time() - startTime) / 6.) / 10., 'min')
*****Imperfect mirror, at KB aperture
*****setting-up optical elements, beamline: bl1
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0109459510409
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 = 0.0036
xStart = -0.0036
yFin = 0.00547297552044
yStart = -0.00547297552044
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 = 161.3
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 = 0.0072
Dy = 0.0109459510409
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 = 0.0036
xStart = -0.0036
yFin = 0.00547297552044
yStart = -0.00547297552044
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 = 161.3
treat = 0
*****reading wavefront from h5 file...
R-space
nx 400 range_x [-5.5e+00, 5.5e+00] mm
ny 400 range_y [-5.5e+00, 5.5e+00] mm
*****propagating wavefront (with resizing)...
done
propagation lasted: 0.1 min
print ('*****Imperfect mirror, at KB aperture')
plot_wfront(mwf, 'at '+str(z1+z2)+' m',False, False, 1e-5,1e-5,'x', True)
plt.set_cmap('bone') #set color map, 'bone', 'hot', etc
plt.axis('tight')
print('FWHMx [mm], theta_fwhm [urad]:',calculate_fwhm_x(mwf)*1e3,calculate_fwhm_x(mwf)/(z1+z2)*1e6)
print('FWHMy [mm], theta_fwhm [urad]:',calculate_fwhm_y(mwf)*1e3,calculate_fwhm_y(mwf)/(z1+z2)*1e6)
*****Imperfect mirror, at KB aperture
FWHMx [mm]: 7.93322911953
FWHMy [mm]: 8.1457466277
Coordinates of center, [mm]: -0.0342934976348 0.15171161341
stepX, stepY [um]: 22.86233175656062 23.34024821691403
R-space
FWHMx [mm], theta_fwhm [urad]: 7.93322911953 17.936308206
FWHMy [mm], theta_fwhm [urad]: 8.1457466277 18.4167909286
Propagating through BL2 beamline. Focused beam: perfect KB¶
print('*****Focused beam: perfect KB')
#optBL2 = SRWLOptC([opApM1,opTrErM1, DriftM1_KB,opApKB, HKB, Drift_KB, VKB, Drift_foc],
# [ppM1,ppTrErM1,ppDriftM1_KB,ppApKB,ppHKB,ppDrift_KB,ppVKB,ppDrift_foc])
z3 = dhkb_vkb
z4 = vkbfoc #distance to focal plane
#HKB = SRWLOptMirEl(_p=d2hkb, _q=dhkb_foc, _ang_graz=thetaKB, _r_sag=1.e+40, _size_tang=0.85, _nvx=cos(thetaKB), _nvy=0, _nvz=-sin(thetaKB), _tvx=-sin(thetaKB), _tvy=0, _x=0, _y=0, _treat_in_out=1) #HKB Ellipsoidal Mirror
#VKB = SRWLOptMirEl(_p=d2vkb, _q=dvkb_foc, _ang_graz=thetaKB, _r_sag=1.e+40, _size_tang=0.85, _nvx=0, _nvy=cos(thetaKB), _nvz=-sin(thetaKB), _tvx=0, _tvy=-sin(thetaKB), _x=0, _y=0, _treat_in_out=1) #VKB Ellipsoidal Mirror
#HKB = SRWLOptL(hkbfoc) #HKB as Thin Lens
#VKB = SRWLOptL(1e23,vkbfoc) #VKB as Thin Lens
Drift_foc = SRWLOptD(dvkb_foc)
optBL2 = SRWLOptC([opApM1, DriftM1_KB,opApKB, HKB, Drift_KB, VKB, Drift_foc],
[ppM1,ppDriftM1_KB,ppApKB,ppHKB,ppDrift_KB,ppVKB,ppDrift_foc])
optBL = optBL2
strBL = 'bl2'
pos_title = 'at sample position'
print('*****setting-up optical elements, beamline:', strBL)
bl = Beamline(optBL)
bl.append(Empty(), Use_PP(zoom=0.02, sampling=5.0))
print(bl)
if bSaved:
out_file_name = os.path.join(strOutputDataFolder, 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:', round((time.time() - startTime) / 6.) / 10., 'min')
*****Focused beam: perfect KB
*****setting-up optical elements, beamline: bl2
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0109459510409
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 = 161.3
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 0.6, 8.0, 0.6, 4.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0072
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 2.698436007775019
Fy = 1e+23
x = 0
y = 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 = 0.9999999999999998
treat = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1.7083907284024138
x = 0
y = 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 = 1.715
treat = 0
Optical element: Empty.
This is empty propagator used for sampling and zooming wavefront
Prop. parameters = [0, 0, 1.0, 0, 0, 0.02, 5.0, 0.02, 5.0, 0, 0, 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 = 0.0072
Dy = 0.0109459510409
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 = 161.3
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 0.6, 8.0, 0.6, 4.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0072
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 2.698436007775019
Fy = 1e+23
x = 0
y = 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 = 0.9999999999999998
treat = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1.7083907284024138
x = 0
y = 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 = 1.715
treat = 0
Optical element: Empty.
This is empty propagator used for sampling and zooming wavefront
Prop. parameters = [0, 0, 1.0, 0, 0, 0.02, 5.0, 0.02, 5.0, 0, 0, 0]
*****reading wavefront from h5 file...
R-space
nx 400 range_x [-5.5e+00, 5.5e+00] mm
ny 400 range_y [-5.5e+00, 5.5e+00] mm
*****propagating wavefront (with resizing)...
done
propagation lasted: 1.6 min
print('*****Focused beam: Focused beam: perfect KB')
bOnePlot = True
isHlog = True
isVlog = False
bSaved = False
try:
plot_wfront(mwf, 'at '+str(z1+z2+z3+z4)+' m',isHlog, isVlog, 1e-2,1e-3,'x', bOnePlot)
except ValueError as e:
print(e)
plt.set_cmap('bone') #set color map, 'bone', 'hot', etc
plt.axis('tight')
print('FWHMx [um], FWHMy [um]:',calculate_fwhm_x(mwf)*1e6,calculate_fwhm_y(mwf)*1e6)
*****Focused beam: Focused beam: perfect KB
FWHMx[um]: 0.536754127757
FWHMy [mm]: 0.000332922388264
Coordinates of center, [mm]: 1.62652765991e-06 4.06002912521e-06
stepX, stepY [um]: 0.003253055319740485 0.008120058250345424
Total power (integrated over full range): 20.8782 [GW]
Peak power calculated using FWHM: 20.4748 [GW]
Max irradiance: 1.00706e+08 [GW/mm^2]
R-space
FWHMx [um], FWHMy [um]: 0.536754127757 0.332922388264
opTrErHKB = SRWLOptT(1500, 100, horApKB, horApKB)
defineOPD(opTrErHKB, os.path.join(strInputDataFolder,'mirror1.dat'), 2, '\t', 'x', thetaOM, scale)
opdTmp=np.array(opTrErHKB.arTr)[1::2].reshape(opTrErHKB.mesh.ny,opTrErHKB.mesh.nx)
print('*****HKB data ')
plt.figure()
#subplot()
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)')
print('*****VKB data ')
opTrErVKB = SRWLOptT(100, 1500, horApKB, horApKB)
defineOPD(opTrErVKB, os.path.join(strInputDataFolder,'mirror2.dat'), 2, ' ', 'y', thetaOM, scale)
opdTmp=np.array(opTrErVKB.arTr)[1::2].reshape(opTrErVKB.mesh.ny,opTrErVKB.mesh.nx)
#subplot()
plot_2d(opdTmp, opTrErVKB.mesh.xStart*1e3,opTrErVKB.mesh.xFin*1e3,opTrErVKB.mesh.yStart*1e3,opTrErVKB.mesh.yFin*1e3,
'OPD [m]', 'x (mm)', 'y (mm)')
print(vkbfoc-dvkb_foc)
*****HKB data
*****VKB data
-0.006609271597586286
print ('*****Focused beam behind focus: perfect KB')
#optBL2 = SRWLOptC([opApM1,opTrErM1, DriftM1_KB,opApKB, HKB, Drift_KB, VKB, Drift_foc],
# [ppM1,ppTrErM1,ppDriftM1_KB,ppApKB,ppHKB,ppDrift_KB,ppVKB,ppDrift_foc])
z3 = dhkb_vkb
#z4 = dvkb_foc #distance to focal plane
z4 = vkbfoc
#HKB = SRWLOptMirEl(_p=d2hkb, _q=dhkb_foc, _ang_graz=thetaKB, _r_sag=1.e+40, _size_tang=0.85, _nvx=cos(thetaKB), _nvy=0, _nvz=-sin(thetaKB), _tvx=-sin(thetaKB), _tvy=0, _x=0, _y=0, _treat_in_out=1) #HKB Ellipsoidal Mirror
#VKB = SRWLOptMirEl(_p=d2vkb, _q=dvkb_foc, _ang_graz=thetaKB, _r_sag=1.e+40, _size_tang=0.85, _nvx=0, _nvy=cos(thetaKB), _nvz=-sin(thetaKB), _tvx=0, _tvy=-sin(thetaKB), _x=0, _y=0, _treat_in_out=1) #VKB Ellipsoidal Mirror
#HKB = SRWLOptL(hkbfoc) #HKB as Thin Lens
#VKB = SRWLOptL(1e23,vkbfoc) #VKB as Thin Lens
Drift_foc = SRWLOptD(z4)
optBL2 = SRWLOptC([opApM1, DriftM1_KB,opApKB, HKB, Drift_KB, VKB, Drift_foc],
[ppM1,ppDriftM1_KB,ppApKB,ppHKB,ppDrift_KB,ppVKB,ppDrift_foc])
optBL = optBL2
strBL = 'bl2'
pos_title = 'at sample position'
print('*****setting-up optical elements, beamline:', strBL)
bl = Beamline(optBL)
print(bl)
if bSaved:
out_file_name = os.path.join(strOutputDataFolder, 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:', round((time.time() - startTime) / 6.) / 10., 'min')
*****Focused beam behind focus: perfect KB
*****setting-up optical elements, beamline: bl2
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0109459510409
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 = 161.3
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 0.6, 8.0, 0.6, 4.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0072
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 2.698436007775019
Fy = 1e+23
x = 0
y = 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 = 0.9999999999999998
treat = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1.7083907284024138
x = 0
y = 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 = 1.7083907284024138
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 = 0.0072
Dy = 0.0109459510409
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 = 161.3
treat = 0
Optical Element: Aperture / Obstacle
Prop. parameters = [0, 0, 1.0, 0, 0, 0.6, 8.0, 0.6, 4.0, 0, 0, 0]
Dx = 0.0072
Dy = 0.0072
ap_or_ob = a
shape = r
x = 0
y = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 1, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 2.698436007775019
Fy = 1e+23
x = 0
y = 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 = 0.9999999999999998
treat = 0
Optical Element: Thin Lens
Prop. parameters = [0, 0, 1.0, 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
Fx = 1e+23
Fy = 1.7083907284024138
x = 0
y = 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 = 1.7083907284024138
treat = 0
*****reading wavefront from h5 file...
R-space
nx 400 range_x [-5.5e+00, 5.5e+00] mm
ny 400 range_y [-5.5e+00, 5.5e+00] mm
*****propagating wavefront (with resizing)...
done
propagation lasted: 1.5 min
print ('*****Focused beam: Focused beam: perfect KB')
bOnePlot = False
isHlog = False
isVlog = False
bSaved = False
plot_wfront(mwf, 'at '+str(z1+z2+z3+z4)+' m',isHlog, isVlog, 1e-3,1e-3,'x', bOnePlot)
plt.set_cmap('bone') #set color map, 'bone', 'hot', etc
plt.axis('tight')
print('FWHMx [um], FWHMy [um]:',calculate_fwhm_x(mwf)*1e6,calculate_fwhm_y(mwf)*1e6)
*****Focused beam: Focused beam: perfect KB
FWHMx [mm]: 0.0145065362204
FWHMy [mm]: 0.0246160199519
Coordinates of center, [mm]: 0.00170521151297 2.03438181421e-05
stepX, stepY [um]: 0.01631781352120671 0.04068763628414966
Total power (integrated over full range): 21.9029 [GW]
Peak power calculated using FWHM: 33.1407 [GW]
Max irradiance: 81571 [GW/mm^2]
R-space
FWHMx [um], FWHMy [um]: 14.5065362204 24.6160199519
