Research On Propagation Characteristics Of Electromagnetic Wave In Gyrotropic Medium

With the continuous development of the electromagnetic wave, the study of electromagnetic properties for various materials has become to be a hot issue. This thesis mainly focuses on the characteristics and special physical phenomenon of electromagnetic wave propagating in gyroelectric and gyromagnetic media. Among them gyroelectric medium turns out to be the main object for research, especially about its typical configurations.Firstly, according to the Maxwell equations in the time harmonic field, the constitutive relation of the gyroelectric and gyromagnetic media have been discussed. Meanwhile, by calculating the parameters of the constitutive relation, we can analyze their electromagnetic properties. Then the dispersion relation for the gyroelectric and gyromagnetic media are obtained.Next, the distribution of the magnetic and electric fields is calculated, which helps to get the analytic expressions of reflection and transmission coefficients at a single interface in Voigt and Faraday configurations. It is found that the properties will be different when electromagnetic wave incident from different media. Besides, it is the first time to derive the properties of propagation in Faraday configuration. And through the theoretical calculation of COMSOL, we finally demonstrate the validity of the derivation.Moreover, we derive the guidance conditions for both TE and TM modes of gyroelectric slab in Voigt configuration. After that we get the guidance conditions for both Type I and Type II modes in Perpendicular configuration, It is found that the reflected wave has the same ellipticity but the opposite rotate direction to the incident wave in Perpendicular configuration.Finally, Goos-Hanchen and Imbert-Fedorov effect for electromagnetic waves are introduced in the last section. We calculate the GH shifts at different interfaces. It shows that the existence of an applied magnetic field has a great effect on GH effect for gyroelectric medium, which makes it possible to have GH shift not only during total reflection but also during nontotal reflection. The numerical analysis of MATLAB and COMSOL verify the above conclusions. At last, the concepts and expressions for the lateral IF shift are also mentioned.