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Zhou, Y., Chen, H. and Zhou, A. (2019) Plane Wave Methods for Quantum Eigenvalue Problems of Incommensurate Systems. Journal of Computational Physics, 384, 99-113.
https://doi.org/10.1016/j.jcp.2019.02.003

has been cited by the following article:

• TITLE: The Bianisotropic Formulation of the Plane Wave Method from Faraday’s and Ampere’s Laws

  AUTHORS: Robert Gauthier

  KEYWORDS: Bianisotropic, Magnetoelectric, Plane Wave Method, Exceptional Point

  JOURNAL NAME: Optics and Photonics Journal, Vol.11 No.8, August 19, 2021

  ABSTRACT: 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.