Re: FDTD method to solve Maxwell equations
- To: mathgroup at smc.vnet.net
- Subject: [mg128544] Re: FDTD method to solve Maxwell equations
- From: Roland Franzius <roland.franzius at uos.de>
- Date: Fri, 2 Nov 2012 00:44:26 -0400 (EDT)
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Am 01.11.2012 08:19, schrieb fc266 at st-andrews.ac.uk: > Hi All, > > I am new to Mathematica and I want to advance my knowledge of Electromagnetic wave propagation. Using the FDTD method I would like to solve Maxwell's equations and simulate different systems. I understand the physics but I have no idea how to translate that to Mathematica, so if anyone can help me to write and understand a code for this that would be great! Thanks a lot! > Perhaps you should first work with the NDSolve tutorial you can download here http://www.wolfram.com/learningcenter/tutorialcollection/AdvancedNumericalDifferentialEquationSolvingInMathematica/ NDSolve has an optional parameter "Method -> xy". The predefines method values reflect the current state of art in the translation of existing high speed-high accuracy methods from the supercomputer area to computer algebra systems. To implement a NDSolve method in 4 space time dimensions for the Maxwell second rank tensor field (t,x)-> F_ik(t,x) with six components obeying the constraints of exterior differential forms Dt[Wedge[F_ik Dt[xi], Dt[xk]] = 0 is probably a very ambitious project and not so much a suitable working field to learn the application of Mathematica to real space-time physics. In the present situation the given Mathematica NDSolve-methods can not handle such monster problems, monsters with respect to memory and time. -- Roland Franzius