计算索末菲尔德型积分的新方法--球面波级数展开法

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Abstract Generalized impedance boundary conditions are employed to simulate the effect of the earth’s surface on electromagnetic fields. The Sommerfeld type integrals contained in the electromagnetic fields of a horizontal electric dipole over the ground plane are expressed as a rapidly and absolutely convergent expansion of spherical wave functions; and the coefficients of the series are cast into the Legendre functions with argument for the complex surface impedance of the ground with the help of the techniques of the transformation of integration path and the hypergeometric functions. The obtained results have explicit mathematical and physical interpretation and can conveniently be used to calculate the fields. The technique described here is an accurate and efficient computation for the Sommerfeld type integrals.

Key words： Electromagnetic theory Sommerfeld type integrals Generalized impedance boundary conditions Expansion of spherical wave functions

Received: 29 July 2001

PACS:	O441
	O173

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	Jiang Binhao
	Liu Yongtan

Cite this article:

Jiang Binhao,Liu Yongtan. A new technique for computating sommerfeld type integrals-expantion of spherical wave functions[J]. , 2003, 25(2): 235-241 .

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http://jeit.ie.ac.cn/EN/ OR http://jeit.ie.ac.cn/EN/Y2003/V25/I2/235