Efficient electromagnetic analysis of a doubly infinite array of rectangular apertures

Author

Mathis, Andrew W. ; Peterson, Andrew F.

Author_Institution

Packaging Res. Center, Georgia Inst. of Technol., Atlanta, GA, USA

Volume

46

Issue

1

fYear

1998

fDate

1/1/1998 12:00:00 AM

Firstpage

46

Lastpage

54

Abstract

An accurate and rapid method is presented for solving the magnetic field integral equation for the equivalent magnetic currents representing a doubly periodic array of rectangular apertures. Ewald´s method is used to accelerate the summations associated with periodic Green´s function, allowing the Green´s function to be determined to nearly machine precision. Galerkin´s method is used to discretize the integral equation with Chebyshev polynomials used as the basis and testing functions. Efficient treatment of the “self-term” singularity is emphasized

Keywords

Galerkin method; Green´s function methods; antenna theory; diffraction gratings; electromagnetic wave scattering; frequency selective surfaces; integral equations; magnetic fields; polynomials; Chebyshev polynomials; Ewald method; Galerkin method; doubly infinite array; electromagnetic analysis; equivalent magnetic currents; magnetic field integral equation; periodic Green function; periodic array; rectangular apertures; self-term singularity; Acceleration; Apertures; Chebyshev approximation; Electromagnetic analysis; Green´s function methods; Integral equations; Magnetic fields; Moment methods; Polynomials; Testing;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.654921

Filename

654921