Solvable Model of Two-Dimensional Magnetophotonic Crystal
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J2.4.1
Solvable Model of Two-Dimensional Magnetophotonic Crystal
A. B. Khanikaev1, M. Inoue1,2, A. B. Granovsky3, A.P. Vinogradov4 1 Toyohashi University of Technology, Toyohashi, Aichi 441–8580, Japan 2 CREST, Japan Science and Technology Corporation, Tokyo 113-0033, Japan 3 Faculty of Physics, Moscow State University, Leninski Gory, Moscow 119992, Russia 4 Institute of Theoretical and Applied Electromagnetism, OIVT, Russian Academy of Sciences, 125412, Moscow, Izhorskay 13/19, Russia ABSTRACT We present theoretical investigation of two-dimensional (2D) magnetophotonic crystal (MPC) with square lattice constructed from two infinite arrays of magnetoactive dielectric sheets at right angle, in the limit of very small sheet thickness and very high dielectric constant, such that their product is constant. Alteration of band structure by external magnetic field is studied. We show that optical activity reduces symmetry of the system and removes degeneracy in the photonic band structure. Also, despite of natural weakness of the magnetooptic activity, dispersion near band edges is found to be strongly sensitive to external magnetic influence. INTRODUCTION In the past decade, there has been great deal of interest in photonic crystals (PCs) in which the dielectric constituents are periodically arranged [1, 2]. These crystals have many interesting properties as far as basic physics is concerned but also in relation to technological applications. Apparently, possibility to tune properties of PCs such as band structure or dispersion by some external influences may enhance significance of PCs for applications considerably. In this work we analyze theoretically the behavior of electromagnetic waves inside of the artificial 2D PC formed from magnetoactive dielectric material and examine influence of external magnetic field on the band structure. According to authors’ knowledge, the first work devoted to the theoretical and experimental investigation of the magnetooptic properties of 1D PC composed of magnetoactive layers was the work presented in [3]. Following to tradition originated in that work throughout here we will call such structures magnetophotonic crystals (MPCs). Two dimensional MPC also has been recently investigated theoretically by approach based on perturbation theory in vicinity of high symmetry points of Brillouin zone, and new interesting phenomena like enhanced Faraday rotation at band edges and the band structure alteration were found [4]. However, the method applied there cannot be regarded as general enough and stricter theoretical analysis is required in investigation MPC’s spectra in regions far from high symmetry points. The model we use in this work was initially developed by Shepherd and co-workers for investigation band structure in the 2D PC formed from optically inactive (isotropic) sheets [5]. In order to generalize this model to case of the MPC we re-derive it with aid of the different approach that allows us to include the influence of the magnetooptical activity.
J2.4.2
MAGNETOACTIVE DIELECT
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