The Bianisotropic Formulation of the Plane Wave Method from Faraday’s and Ampere’s Laws
The Bianisotropic Formulation of the Plane Wave Method from Faraday’s and Ampere’s Laws作者机构:Department of Electronics Carleton University Ottawa Canada
出 版 物:《Optics and Photonics Journal》 (光学与光子学期刊(英文))
年 卷 期:2021年第11卷第8期
页 面:360-386页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Bianisotropic Magnetoelectric Plane Wave Method Exceptional Point
摘 要:The plane wave numerical technique is recast from Ampere’s and Faraday’s laws for materials that are characterized with a bianisotropic form of the constitutive relations. The populating expressions are provided for the eigenvalue matrix system that can be directly solved for the angular frequencies and field profiles when bianisotropy is included. To demonstrate the computation process and expected state diagrams and field profiles, numerical computation examples are provided for a bianisotropic Bragg Array with central defect. It is shown that the location of the magnetoelectric tensor elements has a significant effect on the eigenstates of an equivalent isotropic (anisotropic) structure. One form of the magnetoelectric tensor (diagonal elements only) leads to the observation of merging states and the formation of exceptional points. The numerical approach presented can be implemented as an add-on to the familiar plane wave numerical technique.