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Last modified by rangeadm on 2025/04/23 16:13
From version 5.1
edited by sndueste
on 2020/07/03 11:18
Change comment: There is no comment for this version
To version 4.1
edited by sndueste
on 2020/02/05 15:18
Change comment: There is no comment for this version

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4 4  
5 5  Here you can find a small python script (by (% class="twikiNewLink" %)MartinB(%%)) implementing the partial coherence methode as described in Thomas Pfeifer et al. //Partial-coherence method to model experimental free-electron laser pulse statistics,// Opt. Lett. 35, 3441-3443 (2010); [[link to the paper>>url:http://dx.doi.org/10.1364/OL.35.003441||shape="rect"]]
6 6  
7 -The pulse shapes in time AND corresponding spectral dstribution can be easily created with:
7 +The pulse shapes in time AND corresponding spectral dstribution can be easily created with the Jupyter Notebook**[[attach:SASEPulseGenV2.ipynb]]**
8 8  
9 -* (((
10 -a python script
11 11  
12 -{{expand}}
13 -import numpy as np
14 -import matplotlib.pyplot as plt
15 -
16 -def GetSASE(CentralEnergy, dE_FWHM, dt_FWHM, samples=0, Axis=True):
17 -h=4.135667662 #in eV*fs
18 -dE=dE_FWHM/2.355 #in eV, converts to sigma
19 -dt=dt_FWHM/2.355 #in fs, converts to sigma
20 -if samples == 0:
21 -samples=int(400.*dt*CentralEnergy/h)
22 -else:
23 -if (samples < 400.*dt*CentralEnergy/h):
24 -print("Number of samples is a little small, proceeding anyway. Got", samples, "prefer more than",400.*dt*CentralEnergy/h)
25 -
26 -EnAxis=np.linspace(0.,20.*CentralEnergy,num=samples)
27 -EnInput=np.zeros(samples, dtype=np.complex64)
28 -#for i in range(samples):
29 -EnInput=np.exp(-(EnAxis-CentralEnergy)~*~*2/2./dE~*~*2+2*np.pi*1j*np.random.random(size=samples))
30 -En_FFT=np.fft.fft(EnInput)
31 -TAxis=np.fft.fftfreq(samples,d=(20.*CentralEnergy)/samples)*h
32 -TOutput=np.exp(-TAxis~*~*2/2./dt~*~*2)*En_FFT
33 -EnOutput=np.fft.ifft(TOutput)
34 -if (Axis):
35 -return EnAxis, EnOutput, TAxis, TOutput
36 -else:
37 -return EnOutput, TOutput
38 -
39 -\\
40 -
41 -# set the main parameters here:
42 -CentralEnergy=80. # in eV
43 -bandwidth=0.5 # bandwidth in %
44 -dt_FWHM=30. # FWHM of the temporal duration on average
45 -
46 -dE_FWHM=CentralEnergy/100 *bandwidth # calculate bandwidth of the spectrum in eV
47 -
48 -# calculate 3 SASE pulses
49 -EnAxis, EnOutput, TAxis, TOutput = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)
50 -EnAxis2, EnOutput2, TAxis2, TOutput2 = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)
51 -EnAxis3, EnOutput3, TAxis3, TOutput3 = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)
52 -
53 -
54 -# plot spectrum
55 -ax1 = plt.subplot(1, 2, 1)
56 -plt.plot(EnAxis,np.absolute(EnOutput),EnAxis2,np.absolute(EnOutput2),EnAxis3,np.absolute(EnOutput3) )
57 -plt.xlim(CentralEnergy-2.*dE_FWHM,CentralEnergy+2.*dE_FWHM)
58 -plt.title('Average pulse duration: %.1f fs' % dt_FWHM )
59 -ax1.set_xlabel('Photon energy in eV')
60 -ax1.set_ylabel('spectral intensity')
61 -
62 -# plot time structure
63 -ax1 =plt.subplot(1, 2, 2)
64 -plt.plot(TAxis,np.absolute(TOutput),TAxis2,np.absolute(TOutput2), TAxis3,np.absolute(TOutput3))
65 -plt.xlim(-2.*dt_FWHM,+2.*dt_FWHM)
66 -ax1.set_xlabel('time in fs')
67 -ax1.set_ylabel('pulse amplitude')
68 -
69 -plt.show()
70 -{{/expand}}
71 -)))
72 -* the Jupyter Notebook**[[attach:SASEPulseGenV4.ipynb]]**
73 -
74 -
75 75  Some examples of results:
76 76  
77 77  \\