Anisotropic rectangular waveguides with diagonal index tensors

Approximate variational analysis with anisotropy as a perturbation

Miklós Barabás, E. Lörincz, Gábor Szarvas, Szabolcs Gaál

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The eigenvalue equation of anisotropic rectangular dielectric waveguides with diagonal index tensors is decomposed into a pair of scalar wave equations coupled only because of anisotropy. We solve the approximate, uncoupled equations by variational analysis and handle the coupling term as a first-order perturbation. We prove the stationarity of the scalar variational expression also for discontinuous ("vectorial") mode functions. Computed propagation constants agree to 3-6 significant digits with published finite-element results.

Original languageEnglish
Pages (from-to)259-267
Number of pages9
JournalOptics Communications
Volume123
Issue number1-3
Publication statusPublished - Jan 15 1996

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Dielectric waveguides
Rectangular waveguides
rectangular waveguides
Wave equations
Tensors
Anisotropy
tensors
scalars
perturbation
anisotropy
dielectric waveguides
digits
wave equations
eigenvalues
propagation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Anisotropic rectangular waveguides with diagonal index tensors : Approximate variational analysis with anisotropy as a perturbation. / Barabás, Miklós; Lörincz, E.; Szarvas, Gábor; Gaál, Szabolcs.

In: Optics Communications, Vol. 123, No. 1-3, 15.01.1996, p. 259-267.

Research output: Contribution to journalArticle

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