APPLICATION OF TRANSFORMS TO ACCELERATE THE SUMMATION OF PERIODIC FREE-SPACE GREENS-FUNCTIONS

被引：25

作者：

SINGH, S

SINGH, R

机构：

[1] Department of Electrical Engineering, University of Tulsa, Tulsa

来源：

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES | 1990年 / 38卷 / 11期

关键词：

D O I：

10.1109/22.60026

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The results of applying two acceleration techniques to accelerate the convergence of free-space Green’s functions of the Helmholtz equation are presented. The techniques make use of Kummer’s, Poisson's, and Shanks's transforms. It is shown that considerable savings in computation time is achieved by application of the transforms. Numerical results include relative error versus number of terms taken in the series, and computation time versus a predefined convergence factor. © 1990 IEEE

引用

页码：1746 / 1748

页数：3

共 6 条

[1]

Abramowitz M., 1965, HDB MATH FUNCTIONS

[2]

[Anonymous], 1955, J MATH PHYS, DOI [DOI 10.1080/00207167308803075, DOI 10.1002/SAPM19553411]

[3] INTEGRAL-TRANSFORMS USEFUL FOR THE ACCELERATED SUMMATION OF PERIODIC, FREE-SPACE GREENS-FUNCTIONS [J].

LAMPE, R ;

KLOCK, P ;

MAYES, P .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1985, 33 (08) :734-736

[4]

Oberhettinge F., 1973, FOURIER EXPANSIONS C

[5]

SINGH S, UNPUB IEEE T ANTENNA

[6]

Wynn P, 1956, MTAC, V10, P91, DOI DOI 10.2307/2002183

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