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矢量波函数的变换及其应用

THE CONVERSION THEORY OF VECTOR WAVE FUNCTIONS AND ITS APPLICATIONS
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摘要 矢量波函数的变换方法,在电磁边值问题的理论中有重要的意义。本文系统地讨论了这些变换方法,还讨论了这些变换方法在某些方面的应用。文中给出了标准与非标准矢量波函数、圆柱与圆球矢量波函数之间的变换。作为应用例子,给出了平面波及两媒质半空间偶极子场的矢量波函数展开式及埋入球体的散射场公式,并给出了数值结果。 The conversion theory of vector wave functions is one of important problems in electromagnetics. This paper presents a systematic treatment of the conversion technique and some applications.In this paper,the conversion relations of standard and non-standard spheriacal vector wave functions,stan- dard and non-standard cylindrical vector wave functions,and spherical and cylindrical vector wave functions are developed.As the example of application of vector wave function expansion,the expan- sion of plane wave and dipole field in two-medium half-spaces are given.As the example of applica- tion of vector wave function conversion,the scattering patterns of buried conducting spheres are pre- sented.Inspection on the numerical results shows that the technique and associated programs presented in this paper are efficient.
作者 徐鹏根
出处 《武汉大学学报(自然科学版)》 CSCD 1992年第4期33-40,34-40,共8页 Journal of Wuhan University(Natural Science Edition)
基金 国家自然科学基金
关键词 波函数 矢量 变换 standard and non-standard vector wave function spherical and cylindrical vector wave function conversion of vector wave function scattering by buried object
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