諧振腔法測量復(fù)介電常數(shù)樣品的精確變分分析
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: 本文應(yīng)用廣義變分原理導(dǎo)出了Lindell公式,結(jié)合低損耗情況的Rayleigh-Ritz法對測量復(fù)介電常數(shù)樣品作出了精確的變分分析。從一般情況引入了復(fù)頻率概念,討論了解的穩(wěn)定性,并與現(xiàn)有微擾解做了詳細(xì)的比較。結(jié)果表明,當(dāng)前常用的微擾法算法誤差值得重視。
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關(guān)鍵詞:
- 廣義變分原理; Lindell公式; 復(fù)介電常數(shù); 微擾法
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. -
中華人民共和國國家標(biāo)準(zhǔn)GB5597-85，固體電介質(zhì)微波復(fù)介電常數(shù)的標(biāo)準(zhǔn)測試方法(2).[2]M. Wind, Rapaport, Handbook of Microwave Measurements, Polytechnic Institute of Brooklyn,(1958), Ch. 10.[3]梁昌洪,謝擁軍,諧振腔法測量介質(zhì)參數(shù)的精確變分分析,1991年全國微波會議,西安,第587-591頁.[4]R. F. Harrington, Time-Harmonic Electromagnetic Fields. McGraw-Hill Book Co., New York (1961), Ch. 7.[5]錢偉長,格林函數(shù)和變分法在電磁場和電磁波計算中的應(yīng)用,上?？茖W(xué)技術(shù)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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