Numerical determination of planar waveguide modes using the analyticity of the dispersion relation

R. E. Smith; S. N. Houde-Walter; G. W. Forbes

doi:10.1364/OL.16.001316

Numerical determination of planar waveguide modes using the analyticity of the dispersion relation

R. E. Smith, S. N. Houde-Walter, G. W. Forbes

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35 Citations (Scopus)

Abstract

The modes of a planar multilayer waveguide can readily be determined by using an algorithm that exploits the analyticity of the waveguide dispersion relation. No prior knowledge of the number of solutions or their approximate locations is required; the algorithms finds all the solutions within the region of interest without risk of confusion because of degeneracy or near degeneracy. This method finds both leaky and bound modes in structures of transparent and lossy materials.

Original language	English
Pages (from-to)	1316-1318
Number of pages	3
Journal	Optics Letters
Volume	16
Issue number	17
DOIs	https://doi.org/10.1364/OL.16.001316
Publication status	Published - 1 Sept 1991
Externally published	Yes

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abstract = "The modes of a planar multilayer waveguide can readily be determined by using an algorithm that exploits the analyticity of the waveguide dispersion relation. No prior knowledge of the number of solutions or their approximate locations is required; the algorithms finds all the solutions within the region of interest without risk of confusion because of degeneracy or near degeneracy. This method finds both leaky and bound modes in structures of transparent and lossy materials.",

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AB - The modes of a planar multilayer waveguide can readily be determined by using an algorithm that exploits the analyticity of the waveguide dispersion relation. No prior knowledge of the number of solutions or their approximate locations is required; the algorithms finds all the solutions within the region of interest without risk of confusion because of degeneracy or near degeneracy. This method finds both leaky and bound modes in structures of transparent and lossy materials.

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Numerical determination of planar waveguide modes using the analyticity of the dispersion relation

Abstract

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