Abstract
The chapter is devoted to the study of the electromagnetic wave propagation in cylindrical waveguides of circular cross section. A homogeneous dielectric waveguide of circular cross section, a dielectric rod (DR), and a perfectly conducting cylinder covered with a homogeneous dielectric material layer, the Goubau line (GL), are taken as model waveguides. The following types of dielectric materials are considered: inhomogeneous dielectric, metamaterial, anisotropic dielectric, absorption dielectric, and chiral medium.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Y. Shestopalov, Complex waves in a dielectric waveguide. Wave Motion 82, 16–19 (2018)
Y. Shestopalov, E. Kuzmina, A. Samokhin, On a Mathematical Theory of Open Metal-Dielectric Waveguides FERMAT, vol. 5 (2014)
E. Kuzmina, Waves in a Lossy Goubau line, in Proceedings of the 2016 European Conference on Antennas and Propagation EuCAP (2016)
E.Y. Smolkin, Goubau line filled with nonlinear medium: Numerical study of TM-polarized waves, in Proceedings of the ICEAA, Torino, Italy, September 7–11 (2015), pp. 1572–1575
E.Y. Smolkin, On the problem of propagation of nonlinear coupled TE-TM waves in a double-layer nonlinear inhomogeneous cylindrical waveguide, in Proceedings of the Internatonal Conference Days on Diffraction (2015), pp. 318–322
E.Y. Smolkiin, D.V. Valovik, Guided electromagnetic waves propagating in a two-layer cylindrical dielectric waveguide with inhomogeneous nonlinear permittivity. Adv. Math. Phys. 1–11 (2015)
E.Y. Smolkin, Y.U. Shestopalov, Nonlinear Goubau line: numerical study of TE-polarized waves, in Proceedings of the PIER Symposium (2015), pp. 1513–1517
Y. Shestopalov, Y. Smirnov, E. Kuzmina, Mathematical aspects of the theory of wave propagation in metal-dielectric waveguides, in Proceedings of the XXXI URSI General Assembly (2014)
Y.G. Smirnov, Mathematical Methods for Electromagnetic Problems (Izdatelstvo PSU, Penza, 2009)
A.F. Nikiforov, V.B. Uvarov, Spetsial’nye funktsii matematicheskoi fiziki (Special Functions of Mathematical Physics) (Nauka, Moscow, 1978)
R. Adams, Sobolev Spaces (Academic, New York, 1975)
M. Abramovic, I. Stigan, Handbook on Special Functions (Nauka, Moscow, 1979). ([in Russian])
I. Gohberg, M. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space, vol. 18 (American Mathematical Society, 1969)
Y.G. Smirnov, E.Y. Smolkin, Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. Differ. Equ. 53(10), 1168–1179 (2018)
R. Kress, Linear Integral Equations (Springer, New York, 1999)
E.Y. Smolkin, Numerical method for electromagnetic wave propagation problem in a cylindrical inhomogeneous metal dielectric waveguiding structures. Math. Model. Anal. 22(3), 271–282 (2017)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Shestopalov, Y., Smirnov, Y., Smolkin, E. (2022). Waveguides of Circular Cross Section. In: Optical Waveguide Theory. Springer Series in Optical Sciences, vol 237. Springer, Singapore. https://doi.org/10.1007/978-981-19-0584-1_4
Download citation
DOI: https://doi.org/10.1007/978-981-19-0584-1_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-0583-4
Online ISBN: 978-981-19-0584-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)