Floquet-Bloch waves in magnetophotonic crystals with transverse magnetic field

Abstract

We solved the problem of Floquet-Bloch waves propagation in the one-dimensional gyrotropic magnetophotonic crystal with transverse magnetic field. New fundamental solutions of the Hill’s equation in crystal layers based on the Floquet theory for a third boundary value problem are obtained in the analytical form. The dispersion equation is found through fundamental solutions. The analysis of the dispersion properties of the structures depending on the material parameters was carried out and extraordinary surface waves inherent only in gyrotropic magnetophotonic crystals have been discovered.

KEYWORDS:

• Magnetophotonic crystal
• gyrotropic media
• Floquet theory
• Hill’s equation
• semiconductor
• dispersion characteristics
• third boundary value problem

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work has been partially supported by the Ministry of Education and Science of Ukraine under Grant [0119U002540].

Notes on contributors

Alexandr A. Shmat’ko

Alexandr A. Shmat’ko obtained MS degrees in Radiophysics and Electronics from the Kharkiv National University of Radio Electronics in 1969, the PhD degree in 1973, Doctor of Science degree in 1988 from the V.N. Karazin Kharkiv National University. From 1973 has been with the same university as researcher. Since 1993 he is Professor at the Department of Radio Physics of Ultra High Frequencies. His area of research is in the theory of waves scattering and propagation, periodic structures, millimeter and microwave sources, electron devices, magnetophotonic crystals.

Victoria N. Mizernik

Victoria N. Mizernik received MS degree in Radiophysics and Electronics from the V.N. Karazin Kharkiv National University, Kharkiv, Ukraine in 1991. Now she is researcher in Scientific Physical-Technologic Center of MES and NAS of Ukraine, Kharkiv. Her research interests include techniques for microwave and millimeter wave components, microwave transmission lines with ferrite and magnetophotonic crystals.

Eugene N. Odarenko

Eugene N. Odarenko received MS degree in Radiophysics and Electronics from the V.N. Karazin Kharkiv National University, Kharkiv, Ukraine in 1985, and the PhD degree from the same university in 1994. Since 1988 he has been with the same university as reseacher, and since 1995 as senior researcher at the Department of Physics of Ultra High Frequencies. Since 2004, he is Associate Professor and since 2014 Professor at Kharkiv National University of Radio Electronics, and part-time Senior Scientist. His main research interests include multidimensional modeling of terahertz vacuum electron devices, electrodynamics of photonic crystal structures, and application of metamaterials in microwave and optical devices.