中国物理B ›› 2007, Vol. 16 ›› Issue (1): 236-239.doi: 10.1088/1009-1963/16/1/040

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An improved formula for the surface resistance of normal metals at millimetre wavelengths

潘炜1, 张晓霞2, 刘永智2   

  1. (1)School of Information Science \& Technology, Southwest Jiaotong University, Chengdu 610031, China; (2)School of Optic-Electronic Information, University of Electronic Science and Technology\\ of China, Chengdu 610054, China\\
  • 收稿日期:2005-10-27 修回日期:2006-06-16 出版日期:2007-02-01 发布日期:2007-02-01
  • 基金资助:
    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

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)   

  1. 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
  • Received:2005-10-27 Revised:2006-06-16 Online:2007-02-01 Published:2007-02-01
  • Supported by:
    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

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摘要： 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.

关键词: surface resistance, spatial dispersion, millimeter wavelengths

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.

Key words: surface resistance, spatial dispersion, millimeter wavelengths

中图分类号:  (Surface conductivity and carrier phenomena)

  • 73.25.+i
72.10.-d (Theory of electronic transport; scattering mechanisms) 72.15.-v (Electronic conduction in metals and alloys)