Hi Dr. Goldwin, have you had a look at the tutorial here already?:
http://ab-initio.mit.edu/wiki/index.php/Meep_Tutorial/Ring_resonator_in_cylindrical_coordinates
m [number]
For CYLINDRICAL simulations, specifies that the angular
dependence of the fields is of the form e^(i m phi) (default is m=0). If
the simulation cell includes the origin r = 0, then m must be an
integer.
On Tue, 17 Jun 2008, Goldwin, Jonathan M wrote:
> Hello, Meep --
>
> I am having trouble understanding the meaning of the input variable
> 'm' for cylindrical simulations. I have a circularly polarised plane
> wave (m=1) which is being focused by a cylindrically symmetric
> structure. The source is generated by taking (Er - i*Ephi), and I
> usually take m=1. However, I have read that near a tight focus there
> can be small components with m=0,-1. When I repeat the simulation
> with other m, the results are hard to understand (sometimes suspicious
> narrow stripes on-axis, NaN's for m=-2, et cetera).
> Can someone please tell me (or point me to a reference telling me)
> what the variable m actually represents, and how it is used in the
> calculation? Is there a 'correct' m for each source/structure combo
> (m=1 for mine), or should the exact solution represent a series taken
> over all m, with contributions (hopefully) becoming smaller for larger
> m?
>
> Regards,
>
> Jon Goldwin
>
> ______________________
> Dr. Jon Goldwin
> Centre for Cold Matter
> Imperial College
> London, UK
>
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