I'm currently using Beam Propagation Method (BPM) to run some EM propagation simulation in waveguides. I was looking at this article : Van Roey et al. - J Opt. Soc. Am. 71 (7), 803 (1981). There are some conditions of applicability of BPM method that imply the selection of particular meshing steps based on the "highest spatial frequency component of the refractive index profile". How can this component be determined for an arbitrary refractive index profile?
http://www.opticsinfobase.org/josa/abstract.cfm?uri=josa-71-7-803
Depends on if you are interested in coherent or incoherent effects, and to which level. So be simple. Set a simple model of your setup and test where the effects you are interested in get negligible.
Sorry if too plain. It is a bit the engineering way (I'm an engineeer!), but not always perfect spherical hens are at hand.
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