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2003 | OriginalPaper | Chapter

Mathematical Analysis of the Guided Modes of Integrated Optical Guides

Authors : Evgueni Kartchevski, George Hanson

Published in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

Publisher: Springer Berlin Heidelberg

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The eigenvalue problem for guided modes of integrated optical guides is formulated as a problem for the set of time-harmonic Maxwell’s equations. The original problem is reduced to a strongly-singular domain integral equation, which is often used in practice for computation, and it is proved that the operator of the domain integral equation is a Fredholm operator with zero index. It is also proved that the spectrum of the original problem can only be a set of isolated points.

Metadata
Title
Mathematical Analysis of the Guided Modes of Integrated Optical Guides
Authors
Evgueni Kartchevski
George Hanson
Copyright Year
2003
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-55856-6_71