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

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, introduced for the numerical analysis of surface-relief gratings, is directly used wi...

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Bibliographic Details
Published in:Electromagnetic waves (Cambridge, Mass.) Mass.), 2006, Vol.59, p.101-112
Main Authors: Plumey, J. P., Edee, K., Granet, Gerard
Format: Article
Language:English
Subjects:
Electromagnetism
Engineering Sciences
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Summary: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, introduced 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 formulation, also gives an unified analysis of PMLs. Numerical results for a line source placed above a perfectly conducting corrugated surface are presented.
ISSN:1559-8985
1070-4698
1559-8985
DOI:10.2528/PIER05080701