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电磁场分析中有关球谐函数项的应用研究 被引量:1

STUDY ON SPHERICAL-WAVE FUNCTION APPLIED IN ELECTROMAGNETIC FILED
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摘要 本文通过严格的数学分析,讨论了电磁场分析中用到的球谐函数有关项的计算问题;推证出在坐标变换中,在θ=0,π两个特殊位置上的任意取值不影响有关的电场量的计算值这一结论,并编程计算了一个实例。 In this paper,We investigate the spherical wave function,Which is applied in electromagnetic field computation,and its computation with mathematicaal analysis;We also prove that the value of(spherical coordinates) will not affect the value of the electrostatic potentieland filed in two special points(θ,π).We compute a real example.
机构地区 云南师范大学
出处 《云南师范大学学报(自然科学版)》 1996年第3期40-44,共5页 Journal of Yunnan Normal University:Natural Sciences Edition
基金 云南省教委基金
关键词 Legendre函数 球谐函数 电磁场 解析法 Multipole Theory Legendre Function Spherical-Wave Function
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  • 1郑勤红,盛剑霓,解福瑶,李明,梁立,李景天.电磁场分析中三维标量Hemholtz方程的多极理论[J].云南师范大学学报(自然科学版),1995,15(3):53-57. 被引量:3
  • 2Zheng Q, Yi J, Zeng H, et al. Multipole theory analysis of axisymmetric modes in rotationally symmetric cavities [J]. Microwave and Optical Technology Letters, 2001, 29(6): 412-415.
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  • 4Su C C, Guan J M. Finite-difference analysis of dielectric-loaded cavities using the simultaneous iteration of the power method with the Chebyshev acceleration technique[J]. IEEE Trans. Microwave Theory Tech. , 1994, 42(10) : 1998-2006.
  • 5Kanai Y, Tsukamoto T, Miyakawa M, et al. Resonant frequency analysis of reentrant resonant cavity applicator by using FEM and FD-TD method[J]. IEEE Trans. Magn. , 2000, 36(4) : 1750-1753.
  • 6Monsoriu J A, Andres M V, Silvestre E, et al. Analysis of dielectric-loaded cavities using an orthonormal-basis method[J]. IEEE Trans. Microwave Theory Tech. , 2002, 50(11): 2545-2552.
  • 7Amiri A M S Z, Naeini S S, Chaudhuri S K, et al. Generalized reaction and unrestricted variational formulation of cavity resonators-part I: basic theory[J]. IEEE Trans. Microwave Theory Tech. , 2002, 50(11): 2480-2490.
  • 8Zheng Q, Xie F, Lin W. Solution of three-dimensional Helmholtz equation by multipole theory method[J]. Journal of Electromagnetic Waves and Applications, 1999, 13(3): 339-357.
  • 9钱双平,郑勤红,王才璋,解福瑶,杨志坤.球Besel函数的数值计算[J].云南师范大学学报(自然科学版),1997,17(3):33-37. 被引量:1
  • 10郑勤红,曾华,解福瑶.用多极理论分析圆桩对称微波谐振腔[J].强激光与粒子束,2001,13(1):89-92. 被引量:1

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