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Spectral and scattering theory in deformed optical wave guides. (English) Zbl 0644.35080

We study electromagnetic wave propagation in three dimensional deformed wave guides as a multichannel problem for the vector Maxwell equations, the unperturbed reference system being the perfect wave guide.
We prove the limiting absorption principle in the deformed case including the thresholds (cut off frequencies), and construct a complete rigorous scattering theory.
Reviewer: R.Weder

MSC:

35P25 Scattering theory for PDEs
78A45 Diffraction, scattering
78A50 Antennas, waveguides in optics and electromagnetic theory
35Q99 Partial differential equations of mathematical physics and other areas of application
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