Efficient computation of the two-dimensional periodic Green´s function

Author

Wallinga, Glen S. ; Rothwell, E.J. ; Chen, K.M. ; Nyquist, D.P.

Author_Institution

Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA

Volume

47

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

895

Lastpage

897

Abstract

An efficient scheme is introduced for computing the two-dimensional periodic Green´s function. By using Kummer´s method to accelerate the Hankel function series, accurate results can be rapidly obtained when the source and field points coincide in the vertical direction. Unlike with the integral acceleration form, convergence of the series is maintained when the source and field points differ horizontally by a complete period

Keywords

Green´s function methods; convergence of numerical methods; electromagnetic fields; electromagnetic wave scattering; integral equations; series (mathematics); 2D periodic Green´s function; EM field scattering; Hankel function series; Kummer´s method; field points; horizontal direction; plane wave illumination; series convergence; source points; vertical direction; Acceleration; Convergence; Electromagnetic fields; Electromagnetic measurements; Electromagnetic scattering; Green´s function methods; Helium; Length measurement; Lighting; Periodic structures;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.774153

Filename

774153