TE-wave propagation in graded waveguide structures

Mariana Dalarsson, Sven Nordebo

Research output: Contribution to journalArticlepeer-review


We investigate TE-wave propagation in a hollow waveguide with a graded dielectric layer, described using a hyperbolic tangent function. General formulae for the electric field components of the TE-waves, applicable to hollow waveguides with arbitrary cross sectional shapes, are presented. We illustrate the exact analytical results for the electric field components in the special case of a rectangular waveguide. Furthermore, we derive exact analytical results for the reflection and transmission coefficients valid for waveguides of arbitrary cross sectional shapes. Finally, we show that the obtained reflection and transmission coefficients are in exact asymptotic agreement with those obtained for a very thin homogeneous dielectric layer using mode-matching and cascading. The proposed method gives analytical results that are directly applicable without the need of mode-matching, and it has the ability to model realistic, smooth transitions.

Original languageEnglish
Pages (from-to)67-76
Number of pages10
JournalOSA Continuum
Issue number1
Publication statusPublished - 2020

Subject classification (UKÄ)

  • Other Electrical Engineering, Electronic Engineering, Information Engineering


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