Unfolding the Multivalued Planar Waveguide Dispersion Relation

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

doi:10.1109/3.214486

Unfolding the Multivalued Planar Waveguide Dispersion Relation

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

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

Conventional 2 × 2 matrix techniques give an implicit dispersion relation for planar waveguides that involves multivalued functions. This multivalued form can cause complications and confusion. It is shown here that it is possible to derive a single-valued form that avoids all such difficulties. The resulting formulation allows the unique identification of all of the proper and improper modes of a structure and simplifies their numerical determination.

Original language	English
Pages (from-to)	1031-1034
Number of pages	4
Journal	IEEE Journal of Quantum Electronics
Volume	29
Issue number	4
DOIs	https://doi.org/10.1109/3.214486
Publication status	Published - 1993
Externally published	Yes

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abstract = "Conventional 2 × 2 matrix techniques give an implicit dispersion relation for planar waveguides that involves multivalued functions. This multivalued form can cause complications and confusion. It is shown here that it is possible to derive a single-valued form that avoids all such difficulties. The resulting formulation allows the unique identification of all of the proper and improper modes of a structure and simplifies their numerical determination.",

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AB - Conventional 2 × 2 matrix techniques give an implicit dispersion relation for planar waveguides that involves multivalued functions. This multivalued form can cause complications and confusion. It is shown here that it is possible to derive a single-valued form that avoids all such difficulties. The resulting formulation allows the unique identification of all of the proper and improper modes of a structure and simplifies their numerical determination.

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Unfolding the Multivalued Planar Waveguide Dispersion Relation

Abstract

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