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article-T-Comm-9-12-2019

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MODELING OF WAVEGUIDE WITH AN ANISOTROPIC MEDIUM

Mehman Huseyn Hasanov,  Azerbaijan Technical University, Baku, mhasanovnew@gmail.com

 

Abstract
At present, optoelectronics and integrated optical technologies are developing rapidly, which requires new research in the field of wave optical technologies, including the use of optical transmission systems [1]. This can be explained by the development of optical technologies for processing and transmitting information, the development of photonic integrated circuits and optical memory [2,3]. The advantages of the optical converter and data processing technologies are high data transfer rate, low cost, structurally small size, etc. The further development of fiber-optic transmission systems is associated with the creation of complete optical photon networks and optical communication lines. In such systems, the transmission, reception and processing of signals without the use of electronic devices and electronic processes will occur at the full level of photons. It is known that in anisotropic media, electromagnetic waves propagate differently than in isotropic media [4]. In an anisotropic medium, the optical properties depend on the direction of light propagation, and therefore, the orientation of the optical axis of the waveguide should affect the propagation conditions of natural waves. New optical solutions require the creation of media with special optical properties. As you know, integrated optical components are manufactured in very complex processes, for example, in the process of ion implantation. In order for the devices to be created to function as designed by the developer, a detailed analysis of the waveguide propagation characteristics is necessary, as well as the development of a simple set of calculation tools for production. This requires an adequate mathematical model of the interaction of electromagnetic waves with matter, built on Maxwell’s equations.
In this work, we obtained a mathematical model for calculating the eigen modes of a planar anisotropic waveguide for an arbitrary tilt of the optical axis in the plane of incidence. New mathematical models of the dispersion equations of a waveguide with an anisotropic medium for TE- and TM-waves are obtained in this article. The asymptotic behavior of dispersion curves for a TM-wave is studied as a function of the angle of orientation of the optical axis in the wave propagation plane.The mathematical model of the interaction of an electromagnetic field with anisotropic materials in planar anisotropic waveguides, proposed in the work, allows one to find, with controlled accuracy, the distribution of the electromagnetic field in an arbitrarily anisotropic and arbitrarily inhomogeneous material bounded by a conducting surface. Using numerical methods, the dispersion equations are solved. It was revealed that the position of the dispersion curves depends on the angle for the TM-wave.

Keywords:anisotropic medium, optical waveguides, waveguide modes, three-layer homogeneous waveguide.

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Information about author:
Mehman Huseyn Hasanov, Candidate of Technical Sciences, PhD, Department of «Telecommunication systems and information security», Azerbaijan Technical University, Baku, Azerbaijan