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Guided modes of integrated optical guides. A mathematical study. (English) Zbl 0914.35130
The authors consider a problem associated with optical fibres and wave guides. The guides are supposed to consist of a compact perturbation (the core) of an unbounded stratified medium. Only weak guidance is considered where the problem reduces to a scalar two-dimensional eigenvalue problem. The authors discuss the fundamental mode and the spectra of the guided modes and the radiation modes. They point out that, for very high frequencies, the number of guided modes can remain bounded. In an appendix a detailed discussion is given of the spectra associated with a stratified medium without a core.

MSC:
35Q60 PDEs in connection with optics and electromagnetic theory
78A50 Antennas, waveguides in optics and electromagnetic theory
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