RECURRENCE RELATIONS FOR 3-DIMENSIONAL SCALAR ADDITION THEOREM

被引：70

作者：

CHEW, WC

机构：

[1] Department of Electrical and Computer Engineering, University of Illinois, Urbana

来源：

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 1992年 / 6卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1163/156939392X01075

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：

Recurrence relations for the elements of a translation matrix in the scalar addition theorem in three-dimensions using spherical harmonics are derived. These recurrence relations are more efficient to evaluate compared to the use of Gaunt coefficients evaluated with Wigner 3j symbols or with recurrence relations. The efficient evaluation of the addition theorem is important in a number of wave scattering calculations including fast recursive algorithms.

引用

页码：133 / 142

页数：10

共 14 条

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