Currently there are no explicit methods used in Meep to account for numerical dispersion effects that result in numerical waves to propagate with direction-dependent phase velocities within the Yee grid. In general, the effects of numerical dispersion are rather weak as illustrated in an example comparing the difference in phase velocities for waves propagating in uniform media along major grid axes and grid diagonals of approximately 2% (see Taflove, ch. 4). Moreover, common standard approaches deal with fixing the light propagation in arbitrary directions but thus is not readily generalizable (generalization is a key feature in Meep's design philosophy) and more importantly does not offer significant improvements. Of course numerical dispersion effects can be mitigated by increasing the spatial resolution to an arbitrary degree.
Ardavan Jakub Chaloupka wrote: > Dear all, > I am writing a diploma thesis which mentions FDTD and I would like to > refer the Meep with its capabilities. May I ask you, how does the Meep > solves problematics of numerical dispersion. Do you use any specific > method to reduce it? > > I'm looking forward to hearing from you, > Best wishes, Jakub Chaloupka > > > ------------------------------------------------------------------------ > > _______________________________________________ > meep-discuss mailing list > [email protected] > http://ab-initio.mit.edu/cgi-bin/mailman/listinfo/meep-discuss _______________________________________________ meep-discuss mailing list [email protected] http://ab-initio.mit.edu/cgi-bin/mailman/listinfo/meep-discuss
