The surface impedance of noble metals in the near infrared. A new approximation of the Maxwell-Boltzmann equation

2014 From the exact numerical resolution of the discretized semi-classical equations of the anomalous skin effect theory, we prove that E.M. electron-electron coupling vanishes in the limit of short wavelengths (03BB typically shorter than 2 03BCm for noble metals). That leads to substantial simplification of the algorithms allowing the calculation of the surface impedance. In addition, numerical results show that these simplified algorithms remain very accurate up to wavelengths about 20 03BC where E.M. e-e coupling is weak but not negligible. We conclude that the corresponding simplified form of the Maxwell-Boltzmann equation constitutes a new approximation of the semiclassical theory, valid in the weak anomalous skin effect regime. Revue Phys. Appl. 21 (1986) SEPTEMBRE 1986, PAGE 531 Classification Physics Abstracts 72 .15E 72 . 30 78 .20 78 . 70G