Efficient Calculation of the Green's Function for 2-D Periodic Line Sources Using Ewald Method

被引：4

作者：

Park, Myun-Joo ^{[1
]}

Lee, Byungje ^{[1
]}

机构：

[1] Kwangwoon Univ, Dept Wireless Commun Engn, Seoul 139701, South Korea

来源：

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS | 2009年 / 8卷

关键词：

Ewald transformation; Green's function; periodic structures; HELMHOLTZ OPERATOR; COMPUTATION;

D O I：

10.1109/LAWP.2009.2022652

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 accelerated calculation scheme is presented for the Green's function of the two-dimensional (2-D) periodic array of line sources based on the Ewald sum technique. The contour integral representation of the Hankel function and the Poisson sum formula are employed to accelerate the slowly convergent Green's function series. The resulting Green's function is expressed as the sum of an exponential series in the spatial domain and a spectral series consisting of the exponential integral functions, both with Gaussian convergence.

引用

页码：565 / 567

页数：3

共 13 条

[1]

Arfken G.B.G.B., 2013, Mathematical Methods for Physicists: A Comprehensive Guide, VSeventh

[2] Efficient computation of the 3D Green's function for the Helmholtz operator for a linear array of point sources using the Ewald method [J].

Capolino, F. ;

Wilton, D. R. ;

Johnson, W. A. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 223 (01) :250-261

[3] Efficient computation of the 2-D Green's function for 1-D periodic structures using the Ewald method [J].

Capolino, F ;

Wilton, DR ;

Johnson, WA .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2005, 53 (09) :2977-2984

[4] Choosing splitting parameters and summation limits in the numerical evaluation of 1-D and 2-D periodic Green's functions using the Ewald method [J].

Celepcikay, Ferhat T. ;

Wilton, Donald R. ;

Jackson, David R. ;

Capolino, Filippo .

RADIO SCIENCE, 2008, 43 (06)

[5]

Ewald PP, 1921, ANN PHYS-BERLIN, V64, P253

[6] AN EFFICIENT NUMERICAL EVALUATION OF THE GREEN-FUNCTION FOR THE HELMHOLTZ OPERATOR ON PERIODIC STRUCTURES [J].

JORDAN, KE ;

RICHTER, GR ;

SHENG, P .

JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 63 (01) :222-235

[7] On the splitting parameter in the Ewald method [J].

Kustepeli, A ;

Martin, AQ .

IEEE MICROWAVE AND GUIDED WAVE LETTERS, 2000, 10 (05) :168-170

[8] Efficient computation of the 2D periodic Green's function using the Ewald method [J].

Oroskar, Siddharth ;

Jackson, David R. ;

Wilton, Donald R. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 219 (02) :899-911

[9]

Papanicolaou V.G., 1999, J. Comp. Phys, V1, P105, DOI DOI 10.1023/A:1022622721152)

[10] Efficient calculation of the Green's function for multilayered planar periodic structures [J].

Park, MJ ;

Nam, S .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1998, 46 (10) :1582-1583

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