MODAL EXPANSION FOR THE 2D GREEN'S FUNCTION IN A NON-ORTHOGONAL COORDINATES SYSTEM | Zendy

Jean-Píerre Plumey | Zendy; Kofi Edee | Zendy; Gérard Granet | Zendy

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MODAL EXPANSION FOR THE 2D GREEN'S FUNCTION IN A NON-ORTHOGONAL COORDINATES SYSTEM

Author(s) -

Jean-Píerre Plumey,

Kofi Edee,

Gérard Granet

Publication year - 2006

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier05080701

Subject(s) - modal , function (biology) , mathematical analysis , mathematics , materials science , evolutionary biology , biology , polymer chemistry

We present an efficient modal method to calculate the two-dimensional Green's function for electromagnetics in curvilinear coordinates. For this purpose the coordinate transformation based differential method, intro- duced for the numerical analysis of surface-relief gratings, is directly used with perfectly matched layers (PMLs). The covariant formalism Maxwell's equations, very convenient for the non-orthogonal coordinates formula- tion, also gives an unified analysis of PMLs. Numerical results for a line source placed above a perfectly conducting corrugated surface are pre- sented.

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