Efficient computation of the periodic Green´s function in layered dielectric media

Author

Shubair, Raed M. ; Chow, Y.L.

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

41

Issue

3

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

498

Lastpage

502

Abstract

A technique for the efficient computation of the periodic Green´s function in layered dielectric media is presented. The technique is based on expanding the spectral Green´s function into a finite number of inverse-transformable complex exponential functions. This enables the use of Poisson´s summation formula to express the periodic Green´s function as a combined sum of spectral terms and spatial terms, each set of which is rapidly convergent. Numerical results are obtained for the on-plane case, in which the direct summation of the series converges extremely slowly. Using the accelerated summation formula of this study, a computation time reduction of 160-fold is obtained. The technique can be applied to a wide class of problems in which periodic structures are to be modeled

Keywords

Green´s function methods; convergence of numerical methods; electromagnetic field theory; Poisson´s summation formula; accelerated summation formula; complex exponential functions; computation time reduction; layered dielectric media; periodic Green´s function; spatial terms; spectral terms; Acceleration; Convergence; Dielectrics; Electromagnetic modeling; Green´s function methods; Helium; Integral equations; Nonhomogeneous media; Periodic structures; Phased arrays;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.223751

Filename

223751