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
Included in: Professional Book Archive
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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.