Modal method based on subsectional Gegenbauer polynomial expansion for nonperiodic structures: complex coordinates implementation - Laboratoire Charles Coulomb (L2C) Accéder directement au contenu
Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 2013

Modal method based on subsectional Gegenbauer polynomial expansion for nonperiodic structures: complex coordinates implementation

Résumé

In this paper we present an extension of the modal method by Gegenbauer expansion (MMGE) [J. Opt. Soc. Am. A 28, 2006 (2011)], [Progress Electromagn. Res. 133, 17 (2013)] to the study of nonperiodic problems. The nonperiodicity is introduced through the perfectly matched layers (PMLs) concept, which can be introduced in an equivalent way either by a change of coordinates or by the use of a uniaxial anisotropic medium. These PMLs can generate strong irregularities of the electromagnetic fields that can significantly alter the convergence and stability of the numerical scheme. This is the case, e.g., for the famous Fourier modal method, especially when using complex stretching coordinates. In this work, it will be shown that the MMGE equipped with PMLs is a robust approach because of its natural immunity against spurious modes.
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Dates et versions

hal-00813169 , version 1 (15-04-2013)

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Citer

K. Edee, Brahim Guizal. Modal method based on subsectional Gegenbauer polynomial expansion for nonperiodic structures: complex coordinates implementation. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2013, 30 (4), pp.631. ⟨10.1364/JOSAA.30.000631⟩. ⟨hal-00813169⟩
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