# [1]牟星,周后型,胡俊,等.三层媒质二维谱域Green函数的路径追踪算法[J].东南大学学报(自然科学版),2010,40(5):901-904.[doi:10.3969/j.issn.1001-0505.2010.05.004] 　Mu Xing,Zhou Houxing,Hu Jun,et al.Path tracking algorithm of 2D spectral Green’s function for three-layered medium[J].Journal of Southeast University (Natural Science Edition),2010,40(5):901-904.[doi:10.3969/j.issn.1001-0505.2010.05.004] 点击复制 三层媒质二维谱域Green函数的路径追踪算法() 分享到： var jiathis_config = { data_track_clickback: true };

40

2010年第5期

901-904

2010-09-20

## 文章信息/Info

Title:
Path tracking algorithm of 2D spectral Green’s function for three-layered medium

Author(s):
State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China

Keywords:

TN011
DOI:
10.3969/j.issn.1001-0505.2010.05.004

Abstract:
To locate all the mode poles of the 2D spectral Green’s function for three-layered medium, a path tracking algorithm is proposed. In the algorithm, the characteristic equations of the 2D spectral Green’s function are first substituted with four transcendental equations in the complex plane by mathematical transformation. Then, the path tracking method and the Newton-Raphson iteration are used to solve the roots of the transcendental equations. And all the mode poles of the spectral Green’s function, including surface wave poles, leaky wave poles and improper wave poles, are obtained. This algorithm can overcome the shortcomings of the contour integral method that roots are always lost when the integral paths enter different Riemann sheets through branch cuts. It can be applied to the discrete complex image method and the steepest descent path method to calculate the near field and the far field of the 2D spatial Green’s function quickly and accurately. The numerical experiment results show that the proposed algorithm is accurate and efficient.

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