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ABSTRACT
A method for calculating the eigenwaves in a “semi-infinite” uniaxial dielectric medium (UDM) is proposed. The term “semi-infinite” medium implies the presence of at least one flat boundary of such medium. This method allowed writing out all the components of the total fields in UDM. With the help of that analytical representation of the fields, the problem of the propagation of Dyakonov surface waves guided by the planar interface of two identical UDM with their optic axes lying in the interface plane was investigated to derive an exact analytical expression for the phase speed, when the direction of propagation bisects the angle formed by the two optic axes. On the basis of the solutions found, the energy characteristics were studied, which demonstrated the presence of the flux of average over a period power of the Dyakonov wave along the coordinate axes lying in the plane of UDM boundary.
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Notes on contributors
O. N. Bikeev
O. N. Bikeev From 1987 to the present – Head of the Laboratory of Quantum Electronics, Peoples' Friendship University of Russia. The author's research interests are optics of anisotropic media, integrated optics, and photonics.
A. N. Bogolyubov
A. N. Bogolyubov is honored professor of Moscow State university, Lomonosov Prize winner of Moscow State University for Pedagogical Activity. He received the Dr Sc degree in Phys.-Math. from Moscow state university (MSU), Russia in 1997, the PhD degree in Phys-Math. from MSU, Russia in 1975. All the life he worked in Moscow state university. Now prof. Bogoliubov is giving classes and lectures at the Faculty of Physics MSU. His researches deal with mathematical problems of electrodynamics, in particular with construction, verification and investigation of mathematical models of waveguide systems, with application of finite difference methods and finite elements for study of complex electrodynamic structures, including chiral and fractal media.
K. P. Lovetskiy
K. P. Lovetskiy is an assistant professor of mathematics at the People's Friendship University of Russia, Moscow. He obtained his PhD degree in computational mathematics in 1982 from Laboratory of Information Technologies of JINR, Dubna. His research area is numerical analysis and scientific computing, particularly the methods for solving ill-posed problems concerning modelling of light propagation in thin-film solar cells and waveguides.
N. E. Nikolaev
N. E. Nikolaev received the PhD degree in radiophysics from the Peoples' Friendship University of Russia (PFUR), Moscow, Russia in 2001, graduated in physics from the PFUR in 1987. Now N.E. Nikolaev works as the Associate Professor at the Department of Applied Physics of Peoples' Friendship University of Russia, Moscow. His research interests are analysis and synthesis of optical buried waveguides; accurate modelling of different structures in optoelectronics; inverse problems in electromagnetics; modeling of thin-film multi-layer diffractive optical gratings.
L. A. Sevastianov
L. A. Sevastianov received the Dr Sc degree in Phys-Math from the Joint Institute for Nuclear Research, Dubna, Russia in 1999, the PhD degree in Phys.-Math. from the Peoples' Friendship University of Russia. Now prof. Sevastianov is giving classes and lectures at the Department of Applied Probability and Informatics of Peoples' Friendship University of Russia, Moscow and is a leading researcher of Bogoliubov Laboratory of Theoretical Physics at the Joint Institute for Nuclear Research, Dubna. His researches deal with mathematical modeling of a wide range of processes and systems, both natural and artificial origin. That is modeling of thin-film multi-layer diffractive optical gratings, of integrated optical waveguide structures and quantum measurements modelling.