This also interests me. Suppose the problem were limited to free space -- would that be feasible with Mathematica?
On Fri, Nov 2, 2012 at 12:44 AM, Roland Franzius <firstname.lastname@example.org>wrote:
> Am 01.11.2012 08:19, schrieb email@example.com: > > 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 > >