On Tue, 3 Apr 2007, Julia Budde wrote:
I've just started using the MIT PBG programme and I am wondering if there is
any chance to include nonlinear materials in the calculations.
Thank you very much!
There are three things you can do:
First, for weak nonlinearities, you can use perturbation theory as another
poster mentioned.
Second, for strong nonlinearities, you can solve the eigenproblem
self-consistently. The simplest thing is to solve the eigenproblem for a
mode of interest, then update the materials according to the nonlinearity,
then solve the eigenproblem again, etc. until it converges.
However, you should carefully think about what you are doing, to know
whether the self-consistent eigensolution is really what you want. For
strong nonlinear effects you get all sorts of dynamic phenomena, not
usually just a set of boring eigenmodes placidly propagating without
changing. To look at the dynamics in a nonlinear system, you might want
to:
Third, use instead our Meep time-domain code, which directly supports
second- and third-order nonlinearities in Maxwell's equations.
Cordially,
Steven G. Johnson
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