Unfolding the Multivalued Planar Waveguide Dispersion Relation

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

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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 languageEnglish
Pages (from-to)1031-1034
Number of pages4
JournalIEEE Journal of Quantum Electronics
Issue number4
Publication statusPublished - 1993
Externally publishedYes


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