An improved formula for the surface resistance of normal metals at millimetre wavelengths
Zhang Xiao-Xia(张晓霞)a)†, Pan Wei(潘炜)b), and Liu Yong-Zhi(刘永智)a)
a School of Optic-Electronic Information, University of Electronic Science and Technology of China, Chengdu 610054, China; b School of Information Science & Technology, Southwest Jiaotong University, Chengdu 610031, China
Abstract A number of researchers have reported discrepancies between surface resistance (SR) measurements and classical theoretical predictions in normal metals for millimetre wavelengths (MW). In this paper, a rigorous model is developed for analysing SR of normal metals. This model is based on quantum mechanical analysis of the spatial dispersion within the metal. We use the model to predict SR and eliminate the discrepancies between SR measurements and classical theoretical predictions in normal metals for MW. Moreover, we have compared the results of this model with that of the classical skin-effect model and classical relaxation-effect model. Our analysis shows that the conductivity is not only frequency- but also wave-vector-dependent for MW. We demonstrate that our model has good quantitative agreement with the published experimental data for the room temperature surface resistance of normal metals for MW.
Received: 27 October 2005
Revised: 16 June 2006
Accepted manuscript online:
Fund: Project supported by the National Natural
Science Foundation of China (Grant Nos 90201011 and 10174057), the Key
Project of Chinese Ministry of Education (Grant No 2005-105148) and The
Overseas Scholarship Program of UESTC (University of Electronic Scienc
Cite this article:
Zhang Xiao-Xia(张晓霞), Pan Wei(潘炜), and Liu Yong-Zhi(刘永智) An improved formula for the surface resistance of normal metals at millimetre wavelengths 2007 Chinese Physics 16 236
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