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TE-wave propagation in graded waveguide structures

Dalarsson, Mariana LU and Nordebo, Sven LU (2020) In OSA Continuum 3(1). p.67-76
Abstract

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... (More)

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.

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Please use this url to cite or link to this publication:
author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
OSA Continuum
volume
3
issue
1
pages
10 pages
publisher
Optical Society of America
external identifiers
  • scopus:85105689607
ISSN
2578-7519
DOI
10.1364/OSAC.379847
language
English
LU publication?
yes
id
f4378c01-547a-4ddf-880f-b10d9a75668b
date added to LUP
2021-05-28 12:53:17
date last changed
2022-04-19 06:31:28
@article{f4378c01-547a-4ddf-880f-b10d9a75668b,
  abstract     = {{<p>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.</p>}},
  author       = {{Dalarsson, Mariana and Nordebo, Sven}},
  issn         = {{2578-7519}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{67--76}},
  publisher    = {{Optical Society of America}},
  series       = {{OSA Continuum}},
  title        = {{TE-wave propagation in graded waveguide structures}},
  url          = {{http://dx.doi.org/10.1364/OSAC.379847}},
  doi          = {{10.1364/OSAC.379847}},
  volume       = {{3}},
  year         = {{2020}},
}