A Modification of the Kummer's Method for Efficient Computation of the Green's Function for Doubly Periodic Structures

被引：7

作者：

Ivanishin, Michael M. ^{[1
]}

Skobelev, Sergei P. ^{[2
]}

机构：

[1] Res Inst Buran, UA-03150 Kiev, Ukraine

[2] Radiophyzika, Moscow 125363, Russia

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2009年 / 57卷 / 09期

关键词：

Acceleration techniques; Kummer's method; numerical methods; periodic Green's functions; periodic structures; ACCELERATION TECHNIQUES; 2; DIRECTIONS; 2-D; ELEMENTS;

D O I：

10.1109/TAP.2009.2027188

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：

An auxiliary function in the form of standing spherical waves with attenuation is proposed in the Kummer's method for accelerating the convergence of the spectral series representing the Green's function of doubly periodic structures in free space. Expressions for the amplitude and phase constants of the auxiliary waves versus their attenuation constant are derived, at which the spectral difference series formed as a result of the Kummer's transformation converges in the worst case as the Floquet mode propagation constant in the power of minus 5, 9, and 13 for the cases of using one, two, and three auxiliary waves, respectively, while the spatial series formed by the auxiliary waves converges exponentially. Some examples allowing determination of optimum values for the attenuation constant are considered, and some comparative results characterizing the effectiveness of the technique proposed are presented and discussed.

引用

页码：2794 / 2798

页数：5

共 16 条

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