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