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change_source_phase_space_3.py
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import numpy
from srwlib import *
from silx.gui.plot import Plot2D, ImageView
numPer = 40 # Number of ID Periods (without counting for terminations
undPer = 0.1 # Period Length [m]
Kv = 1.92 # 400 eV 3rd harmonic
photon_energy = 370 #399.8 # 3rd harmonic
import scipy.constants as codata
def magnetic_field_from_K(K, period_length):
return K * 2 * pi * codata.m_e * codata.c / (codata.e * period_length)
def createUndulator(Kv, undPer, numPer):
#***********Undulator
By = magnetic_field_from_K(Kv, undPer) #Peak Vertical field [T]
print("By calculated: " + str(By) + " T")
Bx = 0.0 #Peak Vertical field [T]
phBy = 0 #Initial Phase of the Vertical field component
sBy = -1 #Symmetry of the Vertical field component vs Longitudinal position
xcID = 0 #Transverse Coordinates of Undulator Center [m]
ycID = 0
zcID = 0 #Longitudinal Coordinate of Undulator Center [m]
und = SRWLMagFldU([SRWLMagFldH(1, 'h', Bx, phBy, sBy, 1), SRWLMagFldH(1, 'v', By, phBy, sBy, 1)], undPer, numPer) #Planar Undulator
magFldCnt = SRWLMagFldC([und], array('d', [xcID]), array('d', [ycID]), array('d', [zcID])) #Container of all Field Elements
return magFldCnt
def createElectronBeam(undPer, numPer):
#***********Electron Beam
elecBeam = SRWLPartBeam()
elecBeam.partStatMom1.x = 0. #Initial Transverse Coordinates (initial Longitudinal Coordinate will be defined later on) [m]
elecBeam.partStatMom1.y = 0. #-0.00025
# Roughly ! check!
elecBeam.partStatMom1.z = -0.5*undPer*(numPer + 8) #Initial Longitudinal Coordinate (set before the ID)
elecBeam.partStatMom1.xp = 0. #Initial Relative Transverse Velocities
elecBeam.partStatMom1.yp = 0.
elecBeam.partStatMom1.gamma = 2./0.51099890221e-03 #Relative Energy
elecBeam.Iavg = 0.32 #Average Current [A]
#2nd order statistical moments
elecBeam.arStatMom2[0] = (0.2529e-3)**2 #<(x-x0)^2>
elecBeam.arStatMom2[1] = 0
elecBeam.arStatMom2[2] = (0.02881e-3)**2 #<(x'-x'0)^2>
elecBeam.arStatMom2[3] = (0.01844e-3)**2 #<(y-y0)^2>
elecBeam.arStatMom2[4] = 0
elecBeam.arStatMom2[5] = (5.235e-6)**2 #<(y'-y'0)^2>
# energy spread
elecBeam.arStatMom2[10] = (0.80e-03)**2 #<(E-E0)^2>/E0^2
return elecBeam
def createInitialWavefrontMeshSourceDimension(elecBeam):
#****************** Initial Wavefront
wfr = SRWLWfr() #For intensity distribution at fixed photon energy
wfr.allocate(1, 101, 101) #Numbers of points vs Photon Energy, Horizontal and Vertical Positions
wfr.mesh.zStart = 10.0 #Longitudinal Position [m] from Center of Straight Section at which SR has to be calculated
wfr.mesh.eStart = photon_energy #Initial Photon Energy [eV]
wfr.mesh.eFin = wfr.mesh.eStart #Final Photon Energy [eV]
#OC: it makes sense to choose the initial ranges equal or a bit larger that the first aperture of the beamline (not much larger)
wfr.mesh.xStart = -0.5e-3 #-0.00015 #Initial Horizontal Position [m]
wfr.mesh.xFin = -1 * wfr.mesh.xStart #0.00015 #Final Horizontal Position [m]
wfr.mesh.yStart = -0.5e-3 #-0.00015 #Initial Vertical Position [m]
wfr.mesh.yFin = -1 * wfr.mesh.yStart#0.00015 #Final Vertical Position [m]
wfr.partBeam = elecBeam
return wfr
def createInitialWavefrontMeshAngularDistribution(elecBeam):
#****************** Initial Wavefront
wfr = SRWLWfr() #For intensity distribution at fixed photon energy
wfr.allocate(1, 201, 101) #Numbers of points vs Photon Energy, Horizontal and Vertical Positions
wfr.mesh.zStart = 100.0 #Longitudinal Position [m] from Center of Straight Section at which SR has to be calculated
wfr.mesh.eStart = photon_energy #Initial Photon Energy [eV]
wfr.mesh.eFin = wfr.mesh.eStart #Final Photon Energy [eV]
#OC: it makes sense to choose the initial ranges equal or a bit larger that the first aperture of the beamline (not much larger)
wfr.mesh.xStart = -1e-2 #-0.00015 #Initial Horizontal Position [m]
wfr.mesh.xFin = -1 * wfr.mesh.xStart #0.00015 #Final Horizontal Position [m]
wfr.mesh.yStart = -0.5e-2 #-0.00015 #Initial Vertical Position [m]
wfr.mesh.yFin = -1 * wfr.mesh.yStart#0.00015 #Final Vertical Position [m]
wfr.partBeam = elecBeam
return wfr
def createCalculationPrecisionSettings():
#***********Precision Parameters for SR calculation
meth = 1 #SR calculation method: 0- "manual", 1- "auto-undulator", 2- "auto-wiggler"
relPrec = 0.01 #relative precision
zStartInteg = 0 #longitudinal position to start integration (effective if < zEndInteg)
zEndInteg = 0 #longitudinal position to finish integration (effective if > zStartInteg)
npTraj = 100000 #Number of points for trajectory calculation
useTermin = 1 #Use "terminating terms" (i.e. asymptotic expansions at zStartInteg and zEndInteg) or not (1 or 0 respectively)
arPrecParSpec = [meth, relPrec, zStartInteg, zEndInteg, npTraj, useTermin, 0]
return arPrecParSpec
def createBeamlineSourceDimension(wfr):
#***************** Optical Elements and Propagation Parameters
distSrcLens = wfr.mesh.zStart
distLensImg = distSrcLens #Distance from lens to image plane
focLength = distSrcLens*distLensImg/(distSrcLens + distLensImg)
opLens = SRWLOptL(_Fx=focLength, _Fy=focLength) #Thin lens
opDrift = SRWLOptD(distLensImg) #Drift space from lens to image plane
#Propagation paramaters (SRW specific)
#X-ray BM SR case: propagation without "auto-resizing"
#and with semi-analytical treatment of the quadratic phase terms, to save memory
ppLens = [0, 0, 1., 0, 0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0]
ppDrift = [0, 0, 1., 1, 0, 1.5, 8.0, 0.5, 8.0, 0, 0, 0]
#"Beamline" - Container of Optical Elements (together with the corresponding wavefront propagation instructions)
optBL = SRWLOptC([opLens, opDrift],
[ppLens, ppDrift])
return optBL
###################################################################
def transform_srw_array(arI, mesh):
dim_x = mesh.nx
dim_y = mesh.ny
x_coordinates = numpy.linspace(mesh.xStart, mesh.xFin, dim_x)
y_coordinates = numpy.linspace(mesh.yStart, mesh.yFin, dim_y)
data = numpy.squeeze(arI)
np_array = data.reshape((dim_y, dim_x))
np_array = np_array.transpose()
return x_coordinates, y_coordinates, np_array
def plot_2D(x, y, data, xlabel="X [m]", ylabel="Y [m]", title=None):
xmin, xmax = x.min(), x.max()
ymin, ymax = y.min(), y.max()
origin = (xmin, ymin)
scale = (abs((xmax-xmin)/len(x)), abs((ymax-ymin)/len(y)))
# PyMCA inverts axis!!!! histogram must be calculated reversed
data_to_plot = []
for y_index in range(0, len(y)):
x_values = []
for x_index in range(0, len(x)):
x_values.append(data[x_index, y_index])
x_values.reverse()
data_to_plot.append(x_values)
plot_canvas = ImageView()
plot_canvas.setGraphTitle(title)
plot_canvas.toolBar()
plot_canvas.addImage(numpy.array(data_to_plot),
xlabel=xlabel,
ylabel=ylabel,
legend="data",
origin=origin,
scale=scale,
replace=True)
return plot_canvas
###################################################################
magFldCnt = createUndulator(Kv, undPer, numPer)
elecBeam = createElectronBeam(undPer, numPer)
wfrAngDist = createInitialWavefrontMeshAngularDistribution(elecBeam)
wfrSouDim = createInitialWavefrontMeshSourceDimension(elecBeam)
optBLSouDim = createBeamlineSourceDimension(wfrSouDim)
arPrecParSpec = createCalculationPrecisionSettings()
# This is the convergence parameter. Higher is more accurate but slower!!
# 0.2 is used in the original example. But I think it should be higher. The calculation may then however need too much memory.
sampFactNxNyForProp = 1.0 #0.6 #sampling factor for adjusting nx, ny (effective if > 0)
if(srwl_uti_proc_is_master()):
# 1 calculate intensity distribution ME convoluted for dimension size
print(' Performing Initial Single-E Electric Field calculation ... ', end='')
arPrecParSpec[6] = sampFactNxNyForProp #sampling factor for adjusting nx, ny (effective if > 0)
srwl.CalcElecFieldSR(wfrSouDim, 0, magFldCnt, arPrecParSpec)
print('done')
print(' Simulating Electric Field Wavefront Propagation for Source Dimension ... ', end='')
srwl.PropagElecField(wfrSouDim, optBLSouDim)
print('done')
print(' Extracting Intensity from the Propagated Electric Field for Dim Nat ... ', end='')
arI = array('f', [0]*wfrSouDim.mesh.nx*wfrSouDim.mesh.ny) #"flat" 2D array to take intensity data
srwl.CalcIntFromElecField(arI, wfrSouDim, 6, 1, 3, wfrSouDim.mesh.eStart, 0, 0)
srwl_uti_save_intens_ascii(arI, wfrSouDim.mesh, "intensity_source_dimension.dat")
print('done')
x, z, intensity_source_dimension = transform_srw_array(arI, wfrSouDim.mesh)
# 2 calculate intensity distribution ME convoluted at far field to express it in angular coordinates
print(' Performing Initial Single-E Electric Field calculation ... ', end='')
arPrecParSpec[6] = sampFactNxNyForProp #sampling factor for adjusting nx, ny (effective if > 0)
srwl.CalcElecFieldSR(wfrAngDist, 0, magFldCnt, arPrecParSpec)
print('done')
print(' Extracting Intensity ME Conv from the Calculated Initial Electric Field ... ', end='')
arI = array('f', [0]*wfrAngDist.mesh.nx*wfrAngDist.mesh.ny) #"flat" array to take 2D intensity data
srwl.CalcIntFromElecField(arI, wfrAngDist, 6, 1, 3, wfrAngDist.mesh.eStart, 0, 0)
print('done')
print(' Saving the Initial Wavefront Intensity into a file ... ', end='')
wfrAngDist.mesh.xStart /= wfrAngDist.mesh.zStart
wfrAngDist.mesh.xFin /= wfrAngDist.mesh.zStart
wfrAngDist.mesh.yStart /= wfrAngDist.mesh.zStart
wfrAngDist.mesh.yFin /= wfrAngDist.mesh.zStart
srwl_uti_save_intens_ascii(arI, wfrAngDist.mesh, "intensity_angular_distribution.dat")
print('done')
x_first, z_first, intensity_angular_distribution = transform_srw_array(arI, wfrAngDist.mesh)
plot_canvas_1 = plot_2D(x, z, intensity_source_dimension, xlabel="X [m]", ylabel="Z [m]", title="X,Z")
plot_canvas_2 = plot_2D(x_first, z_first, intensity_angular_distribution, xlabel="X' [rad]", ylabel="Z' [rad]", title="AlphaX, AlphaZ")
plot_canvas_1.show()
plot_canvas_2.show()
output = []
output.append(x)
output.append(z)
output.append(intensity_source_dimension)
output.append(x_first)
output.append(z_first)
output.append(intensity_angular_distribution)
out_object = output