谐振腔法测量复介电常数样品的精确变分分析
AN ACCURATE VARIATIONAL ANALYSIS FOR MEASUREMENT OF THE COMPLEX DIELECTRIC CONSTANT OF A SAMPLE ROD INSERTED IN A RESONANT CAVITY
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摘要: 本文应用广义变分原理导出了Lindell公式,结合低损耗情况的Rayleigh-Ritz法对测量复介电常数样品作出了精确的变分分析。从一般情况引入了复频率概念,讨论了解的稳定性,并与现有微扰解做了详细的比较。结果表明,当前常用的微扰法算法误差值得重视。Abstract: The Lindell formulation based on the generalized variational principle is derived, and an accurate variational analytical result of the measurement of the complex dielectric constant by the Rayleigh-Ritz method is obtained when the loss is small. The concept of the complex frequency is introduced in a com non case, and also touched on the stationarity of the solution, then compared the results with he pertubational result. It is demonstrated with these results that it is necessary to pay attention to the Theortical error of pertubational method.
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中华人民共和国国家标准GB5597-85，固体电介质微波复介电常数的标准测试方法(2).[2]M. Wind, Rapaport, Handbook of Microwave Measurements, Polytechnic Institute of Brooklyn,(1958), Ch. 10.[3]梁昌洪,谢拥军,谐振腔法测量介质参数的精确变分分析,1991年全国微波会议,西安,第587-591页.[4]R. F. Harrington, Time-Harmonic Electromagnetic Fields. McGraw-Hill Book Co., New York (1961), Ch. 7.[5]钱伟长,格林函数和变分法在电磁场和电磁波计算中的应用,上海科学技术出版社,上海,1989年,第二、三章.[6]I.V. Lindell, IEEE Trans. on MTT, MTT-30(1982)8, 1194-1204. -
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