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Published in:
General Definitions, Concepts and Relations of Macroscopic Electrodynamics Read chapter Read first chapter

2019 | OriginalPaper | Chapter

9. Dielectric Waveguides and Light-Guides

Authors : Eugene I. Nefyodov, Sergey M. Smolskiy

Published in: Electromagnetic Fields and Waves

Publisher: Springer International Publishing

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Abstract

Dielectric waveguides and lightguides occupy a great part of modern electrodynamics. The plane dielectric waveguide (Sect. 9.1) is the simplest representative of them. First wave investigations in such structures (the Goubau line type) are linked with the names Zenneck and Sommerfeld. A field in a layer satisfies the Helmholtz equation and the general boundary conditions (Sect. 2.1.2). Electrical and magnetic waves are examined with the help of the Hertz longitudinal vector. We obtain the transcendent dispersion equations for even and odd waves, which require a numerical solution. In particular, we note that the even electric surface wave E00 in the layer has zero critical frequency (the Katsenelenbaum effect). Many examples of the field component behavior in the layer and in the surrounding space are given. Using Programs P.9.1, P.9.2, the reader may be acquainted with field pictures of the plane dielectric waveguide.

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previous chapter Periodic Processes and Structures in Nature, Science, and Engineering
next chapter Volumetric Closed Resonators
Footnotes
1
This is the list of literature, which is recommended for interested students and specialists.
 
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Metadata
Title
Dielectric Waveguides and Light-Guides
Authors
Eugene I. Nefyodov
Sergey M. Smolskiy
Copyright Year
2019
Book
Electromagnetic Fields and Waves

Print ISBN: 978-3-319-90846-5

Electronic ISBN: 978-3-319-90847-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-90847-2_9