Abstract
Rigorous numerical techniques for treating light-scattering problems with one-dimensional rough reentrant surfaces have been developed. We present a modification of one of these techniques to calculate modes for a waveguide with an arbitrarily cross-sectional structure that represents, to our knowledge, a unique work of this kind. We have applied this technique to a regular polygonal structure and also to a triadic Koch fractal structure. The results obtained reproduce the well-known situations of square and circular cross.
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