Abstract
It is proven that under certain conditions, in a limited dielectric medium without losses, there exist nonzero solutions to the homogeneous problem. If the medium is anisotropic, then in the region of inhomogeneity there can be electromagnetic energy and, at the same time, there is no radiation into the surrounding space.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. B. Samokhin, Integral Equations and Iterative Methods in Electromagnetic Scattering Theory (Radio i Svyaz’, Moscow, 1998) [in Russian].
A. B. Samokhin, Differ. Uravn. 37, 1357 (2001).
A. B. Samokhin, Differ. Uravn. 50, 1215 (2014).
A. S. Il’inskii, V. V. Kravtsov, and A. G. Sveshnikov, Mathematical Models in Electromagnetics (Vysshaya Shkola, Moscow, 1991) [in Russian].
Lars Hörmander, Analysis of Linear Differential Operators with Partial Derivatives, Vol. 3: Pseudodifferential Operators (Mir, Moscow, 1987).
R. Potthast, J. Integral Equations Appl. 11 (2), 197 (1999).
A. B. Samokhin and Yu. G. Smirnov, Zh. Vychislit. Mat. & Mat. Fiz. 61, 85 (2021).
V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas, 2nd ed. (Nauka, Moscow, 1967; Pergamon, Oxford, 1970).
Funding
The study was financed by the Russian Science Foundation (project no. 20-11-20087).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Samokhin, A.B. Conditions for the Existence of Resonant Anisotropic Dielectric Structures. J. Commun. Technol. Electron. 66, 684–689 (2021). https://doi.org/10.1134/S1064226921060218
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226921060218