自由空间中的广义柱体并矢格林函数的计算
COMPUTATION OF DYADIC GREEN S FUNCTIONS FOR GENERALIZED CYLINDERS IN FREE SPACE
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摘要: 本文利用作者前文(1984)给出的方法和技巧,求解了自由空间广义柱体并矢格林函数。所得公式在推导过程中未涉及柱体具体的横截面形状,故具有普遍适用的意义。作为具体运用实例,给出了完纯导电尖劈、半片和椭圆柱体的并矢格林函数去掉h积分的表示式。
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Abstract: Dvadic Grcen s function is useful for solving the boundary problems in electromagnetic theory. The key problem involved is how to deal with the additional term in the electric dvadic Green s function in the source region. In this paper, dyadic Green s functions for generalized cylinders in free space are derived with the technique given by the author (1984). The dyadic Green s functions for perfectly conducting wedges, half-planes and elliptic cylinders, whose integrals of continuous spectral h have been elliminated, are given particularly. -
潘生根,电子科学学刊,6(1984), 181.[2]C. T. Tai, Math. Note 28, Weapons Systems Laboratory, Kirland AFB, Albuquerque, NM, July 1973.[3]C. T. Tai.[J].Dyadic Greens Functions in Electromagnetic Theory, Scranton, PA: Intext Educational.1971,:-[4]V. S. Vladimirov, Generalized Functions in Mathematical Physics, Moscow, Mir Publishers, 1979,p. 110.[5]C. T. Tai,来华讲学专题文选,华东师范大学编,1979年11月,第92页.[6]J. A. Stratton, Electromagnetic Theory, McGraw-Hill, 1941, p. 386.[7]V. S. Vladimirov, Generalized Functions in Mathematical Physics, Moscow, Mir Publishers, 1979,p. 26. -
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