Shmat'ko, A. A.Mizernik, V. N.Odarenko, E. N.2024-12-092024-12-092020Shmat’ko A. A. Scattering of Electromagnetic Wave By Bragg Reflector with Gyrotropic Layers / A. A. Shmat'ko, V. N. Mizernik, E. N. Odarenko // In: Ilchenko, M., Uryvsky, L., Globa, L. (eds) Advances in Information and Communication Technology and Systems. MCT 2019. Lecture Notes in Networks and Systems, vol 152. Springer, Cham. - pp. 404-416.https://doi.org/10.1007/978-3-030-58359-0_23https://openarchive.nure.ua/handle/document/29414We solved the problem of scattering of plane wave on a ferrite 1D magnetophotonic crystal controlled by a dc transverse magnetic field. Fundamental solutions of the Hill equation with mixed boundary conditions based on the Floquet-Bloch theory are obtained in an analytical form. The dispersion equation and its roots are found explicitly. The analysis of the dispersion properties of the structures is carried out depending on the material parameters of the ferrite layers. The transmission and reflection coefficients are determined for the gyrotropic crystal with finite number of periods. Two characteristic cases are considered: positive and negative values of the effective permeability of gyrotropic layer. The expressions for spatial distribution of electromagnetic field components are determined at crystal period. The results provide a deeper understanding of the electromagnetic waves propagation behavior in multilayer media with controlled gyrotropic elements. In addition, the obtained analytical expressions simplify the analysis of wave processes in such complex media.en-USBook chapter