Re: FDTD method to solve Maxwell equations

*To*: mathgroup at smc.vnet.net*Subject*: [mg128571] Re: FDTD method to solve Maxwell equations*From*: fc266 at st-andrews.ac.uk*Date*: Sun, 4 Nov 2012 20:13:13 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <k6t7p7$1m3$1@smc.vnet.net> <k6vkmi$6io$1@smc.vnet.net>

On Friday, November 2, 2012 5:13:46 AM UTC, Roland Franzius wrote: > 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/AdvancedNumerica lDifferentialEquationSolvingInMathematica/ > > > > 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 I would just be interested in solving for the 1D and 2D case so I can simulate some basic examples, how would I be able to do that? is that simpler?