Mathematica script for calculating the 2D Bessel transforms.
Former-commit-id: 6371433778d3b7ee2f0a286f2f3e2cbddc53c917
This commit is contained in:
parent
0757e0c7df
commit
53e5508642
|
@ -0,0 +1,11 @@
|
||||||
|
#!/bin/bash
|
||||||
|
K=$1
|
||||||
|
Q=$2
|
||||||
|
N=$3
|
||||||
|
module load mathematica
|
||||||
|
cat - vzor.m <<<"
|
||||||
|
kk=$K;
|
||||||
|
qq=$Q;
|
||||||
|
nn=$N;
|
||||||
|
" | math -noprompt > "${K}-${Q}-${N}"
|
||||||
|
|
|
@ -0,0 +1,6 @@
|
||||||
|
$Assumptions = k >= 0 && k0 >= 0 && c >= 0 && n >= 0 ;
|
||||||
|
Refine[Integrate[(1 - Exp[-c x])^\[Kappa] (k0 x)^(-q) Exp[
|
||||||
|
I k0 x] x BesselJ[n, k x] Exp[-c x], {x,
|
||||||
|
0, \[Infinity]}], {\[Kappa] == kk, q == qq, n == nn}]
|
||||||
|
Series[%, {k, \[Infinity], 10}]
|
||||||
|
Quit[ ]
|
|
@ -152,7 +152,7 @@ def _scuffTMatrixConvert_EM_01(EM):
|
||||||
else:
|
else:
|
||||||
return None
|
return None
|
||||||
|
|
||||||
def loadScuffTMatrices(fileName):
|
def loadScuffTMatrices(fileName, normalisation = 1):
|
||||||
"""
|
"""
|
||||||
TODO doc
|
TODO doc
|
||||||
"""
|
"""
|
||||||
|
@ -182,7 +182,10 @@ def loadScuffTMatrices(fileName):
|
||||||
for outc_type in [0,1]:
|
for outc_type in [0,1]:
|
||||||
TMatrices[:,1-outc_type,:,1-inc_type,:] = TMatrices_tmp_real[:,:,outc_type,:,inc_type]+1j*TMatrices_tmp_imag[:,:,outc_type,:,inc_type]
|
TMatrices[:,1-outc_type,:,1-inc_type,:] = TMatrices_tmp_real[:,:,outc_type,:,inc_type]+1j*TMatrices_tmp_imag[:,:,outc_type,:,inc_type]
|
||||||
# IMPORTANT: now we are going from Reid's/Kristensson's/Jackson's/whoseever convention to Taylor's convention
|
# IMPORTANT: now we are going from Reid's/Kristensson's/Jackson's/whoseever convention to Taylor's convention
|
||||||
TMatrices[:,:,:,:,:] = TMatrices[:,:,:,:,:] * np.sqrt(ny*(ny+1))[ň,ň,ň,ň,:] / np.sqrt(ny*(ny+1))[ň,ň,:,ň,ň]
|
if normalisation == 1:
|
||||||
|
TMatrices[:,:,:,:,:] = TMatrices[:,:,:,:,:] * np.sqrt(ny*(ny+1))[ň,ň,ň,ň,:] / np.sqrt(ny*(ny+1))[ň,ň,:,ň,ň]
|
||||||
|
elif normalisation == 2: # Kristensson?
|
||||||
|
pass
|
||||||
return (TMatrices, freqs, freqs_weirdunits, lMax)
|
return (TMatrices, freqs, freqs_weirdunits, lMax)
|
||||||
|
|
||||||
|
|
||||||
|
|
Loading…
Reference in New Issue