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- E. M. Kartchevski, A. I. Nosich, G. W. Hanson
- SIAM Journal of Applied Mathematics
- 2005

- E. Kartchevski, G. Hanson
- International Conference on Mathematical Methods…
- 2002

The eigenvalue problem for guided modes of an integrated optical guide is reduced to a strongly-singular domain integral equation. 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.

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