from maxwell to helmholts using mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg42072] from maxwell to helmholts using mathematica
- From: CAP F <Ferdinand.Cap at eunet.at>
- Date: Wed, 18 Jun 2003 02:10:42 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Paul,
Let me congratulate for your pedagogical and excellent survey on
electromagnetism.
Find please my code c55, from Maxwell to Helmholtz
(wave equation, with Mathematica) as derived from my book:
Mathematical Methods of Physics and Engineering with Mathematica
Ferdinand F . Cap, CRC-Press/Chapman and Hall, 2003,
ISBN 1584884029, 56 Codes to be downloaded from
www.crcpress.com
filename="c55.nb"
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\(\(\( (*\
c55\ From\ Maxwell'
s\ to\ vector\ Helmholtz\ equations, \[IndentingNewLine]\
see\ page\ 179\ of\ the\ book . \ k = \[Omega]/c, \ c = 1/Sqrt[eps],
eps = \[CurlyEpsilon]\ *) \)\(\n\)\(<< Calculus`VectorAnalysis`\n
$Packages\n
\(Clear[H, El, t1, t2, t3, t4, t5, t6, t7, t8];\)\n
\(H[x_, y_, z_, t_] := {Hx[x, y, z]*Exp[I*k*t/Sqrt[eps]],
Hy[x, y, z]*Exp[I*k*t/Sqrt[eps]],
Hz[x, y, z]*Exp[I*k*t/Sqrt[eps]]};\)\n
\(El[x_, y_, z_, t_] := {Ex[x, y, z]*Exp[I*k*t/Sqrt[eps]],
Ey[x, y, z]*Exp[I*k*t/Sqrt[eps]],
Ez[x, y, z]*Exp[I*k*t/Sqrt[eps]]};\)\n
\(t1 = Curl[El[x, y, z, t], Cartesian[x, y, z]];\)\n
\(t2 = \(-D[H[x, y, z, t], t]\);\)\n
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