Differential covariant formalism for solving Maxwell´s equations in curvilinear coordinates: oblique scattering from lossy periodic surfaces

Author

Plumey, Jean-Pierre ; Granet, Gérard ; Chandezon, Jean

Author_Institution

Univ. Blaise Pascal, Aubiere, France

Volume

43

Issue

8

fYear

1995

fDate

8/1/1995 12:00:00 AM

Firstpage

835

Lastpage

842

Abstract

A rigorous differential method describing the diffraction properties of lossy periodic surfaces is presented. A nonorthogonal coordinate system and a covariant formalism of Maxwell´s equation are used simplifying boundary conditions expression. Only one eigenvalue system, unique for the TE and TM polarizations even for an oblique incidence, needs to be solved. Thus the numerical treatment is very efficient and CPU requirements significantly reduced. Numerical results are successfully compared with those obtained by an integral method using the boundary element method (BEM) as a numerical procedure

Keywords

Maxwell equations; covariance analysis; eigenvalues and eigenfunctions; electromagnetic wave polarisation; electromagnetic wave scattering; Maxwell´s equations; boundary conditions; curvilinear coordinates; differential covariant formalism; diffraction properties; eigenvalue system; lossy periodic surfaces; nonorthogonal coordinate system; numerical treatment; oblique scattering; Boundary conditions; Boundary element methods; Differential equations; Eigenvalues and eigenfunctions; Gratings; Integral equations; Maxwell equations; Optical scattering; Optical surface waves; Polarization;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.402203

Filename

402203