Analytical Formula of Some Generalized Sommerfeld Integrals
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摘要: 对均匀无限大平板导体涡流场并矢格林函数中含有的一类广义索末菲积分(GSI)，导出了解析表达式，这些表达式均可表示为某个级数形式，级数中的每一项都能够用具有显式解析式的两个基本GSI及其导数表示。这些级数在导体板厚度大于透入深度的情况下收敛很快。Abstract: Analytical formulas of a type of Generalized Sommerfeld Integrals (GSI), which are included in the dyadic Green's function for an infinite uniform conducting plate in eddy current nondestructive testing problems, are derived. The derived analytic formulas are expressed in the form of series whose terms are the derivatives of two basic GSI. When the plate thickness is greater than the skin depth the series converges quickly.
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[1] 雷银照，马信山.三维探伤涡流场的研究与线圈阻抗的计算［J］.中国电机工程学报,1996,16(5):289-294. [2] Bowler J R. Eddy current interaction with an ideal crack I The forward problem［J］. J Appl Phys,1994,75(12):8128-8137. [3] Takagi T, Hashimoto M, Fukutomi H, et al. Benchmark models of eddy current testing for steam generator tube: experiment and numerical analysis［J］. Int J of Applied Electromagnetics in Materials,1994,5(3):149-162. [4] 陈德智，唐 磊，盛剑霓，等.均匀无限大平板导体中的并矢格林函数［J］.华中理工大学学报,2000,28(2):64. [5] Sommerfeld A. Partail Differential Equations in Physics［M］. New York: Academic Press,1949. [6] 彭仲秋.Sommerfeld积分的计算［J］.成都电讯工程学院学报,1985(4): 88-98. [7] 胡 俊，聂在平.索末菲尔德积分新方法——快速汉克尔变换［J］.电子学报,1998,26(3):126-128. [8] Tsai M J, Chen C L, Alexopoulos N G. Sommerfeld Integrals in Modeling Interconnects and Microstrip Elements in Multi-layered Media［J］. Electromagnetics,1998,18:267-288. [9] 幸玲玲，席保峰，盛剑霓.涡流无损检测中类Sommerfeld积分的计算［J］.西安交通大学学报,1999,33(10):23-26. [10] Misac N Nabighian.电磁法［M］.赵经详，等译.北京：地质出版社,1992. [11] Banos A. Dipole Radiation in the Presence of a Conducting Half-Space［M］. Pergamon: Oxford Press,1966. [12] 陈德智，邵可然，盛剑霓.平板导体中裂纹缺陷探伤涡流场的求解［J］.中国电机工程学报,2000,20(7):62-65,70.
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