Theory of electromagnetic wave propagation in superlattices with optically anisotropic layers |
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| Institution: | 1. Center for Emergent Matter Science, RIKEN, Wako-shi, Saitama 351-0198, Japan;2. Nonlinear Physics Centre, RSPhysE, The Australian National University, Canberra, ACT 0200, Australia;3. Physics Department, University of Michigan, Ann Arbor, MI 48109-1040, USA;1. Universidade Federal de Pernambuco, Departamento de Física, Recife, PE, Brazil;2. Universidade Federal de Pernambuco, Pós Graduação em Ciência de Materiais, Recife, PE, Brazil;3. Universidade Federal do Piauí, Departamento de Física, Teresina, PI, Brazil;4. Universidade Federal de Pernambuco, Departamento de Engenharia Química, Recife, PE, Brazil;1. Department of Inorganic Chemistry, Vilnius University, Vilnius, LT-03225 Lithuania;2. State Research Institute Center for Physical Sciences and Technology, Vilnius, LT-02300 Lithuania;1. AGH University of Science and Technology, Faculty of Materials Science and Ceramics, Al. Mickiewicza 30, 30-059, Krakow, Poland;2. AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. Mickiewicza 30, 30-059, Krakow, Poland;3. AGH University of Science and Technology, Academic Centre for Materials and Nanotechnology, Al. Mickiewicza 30, 30-059, Krakow, Poland;4. AGH University of Science and Technology, Faculty of Energy and Fuels, Al. Mickiewicza 30, 30-059, Krakow, Poland;5. AGH Centre of Energy, AGH University of Science and Technology, Ul. Czarnowiejska 36, 30-054, Krakow, Poland |
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| Abstract: | A formalism is developed to find the photon dispersion relations in superlattice systems having layers with low optical symmetry or having magnetic layers. This formalism is an exact solution of the first order Maxwell's equations including all the information for the anisotropic optical response tensors and including the coupling of the TE and TM modes. Based on a 4×4 matrix approach for solving complicated reflection and transmission problems in stratified anisotropic media and employing a plane wave expansion of the field components to take into account the periodicity of the superlattices, the photon dispersion relation can be obtained numerically with a simple algorithm. This result is useful in predicting the absence of certain electromagnetic modes along the superlattice axis, and in identifying observed resonances with a particular excitations of the system. |
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