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Title: Optical properties of metals: Infrared emissivity in the anomalous skin effect spectral region

Abstract

When the penetration depth of an electromagnetic wave in a metal is similar to the mean free path of the conduction electrons, the Drude classical theory is no longer satisfied and the skin effect becomes anomalous. Physical parameters of this theory for twelve metals were calculated and analyzed. The theory predicts an emissivity peak ε{sub peak} at room temperature in the mid-infrared for smooth surface metals that moves towards larger wavelengths as temperature decreases. Furthermore, the theory states that ε{sub peak} increases with the emission angle but its position, λ{sub peak}, is constant. Copper directional emissivity measurements as well as emissivity obtained using optical constants data confirm the predictions of the theory. Considering the relationship between the specularity parameter p and the sample roughness, it is concluded that p is not the simple parameter it is usually assumed to be. Quantitative comparison between experimental data and theoretical predictions shows that the specularity parameter can be equal to one for roughness values larger than those predicted. An exhaustive analysis of the experimental optical parameters shows signs of a reflectance broad peak in Cu, Al, Au, and Mo around the wavelength predicted by the theory for p = 1.

Authors:
 [1];  [1]
  1. Departamento de Física de la Materia Condensada, Facultad de Ciencia y Tecnología, UPV/EHU, Sarriena s/n, Leioa 48940 (Spain)
Publication Date:
OSTI Identifier:
22314375
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 116; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COPPER; ELECTROMAGNETIC RADIATION; ELECTRONS; EMISSIVITY; MEAN FREE PATH; PEAKS; PENETRATION DEPTH; ROUGHNESS; SKIN EFFECT; TEMPERATURE RANGE 0273-0400 K; WAVELENGTHS

Citation Formats

Echániz, T., Pérez-Sáez, R. B., E-mail: raul.perez@ehu.es, Tello, M. J., and Instituto de Síntesis y Estudio de Materiales, Universidad del País Vasco, Apdo. 644, Bilbao 48080. Optical properties of metals: Infrared emissivity in the anomalous skin effect spectral region. United States: N. p., 2014. Web. doi:10.1063/1.4894169.
Echániz, T., Pérez-Sáez, R. B., E-mail: raul.perez@ehu.es, Tello, M. J., & Instituto de Síntesis y Estudio de Materiales, Universidad del País Vasco, Apdo. 644, Bilbao 48080. Optical properties of metals: Infrared emissivity in the anomalous skin effect spectral region. United States. https://doi.org/10.1063/1.4894169
Echániz, T., Pérez-Sáez, R. B., E-mail: raul.perez@ehu.es, Tello, M. J., and Instituto de Síntesis y Estudio de Materiales, Universidad del País Vasco, Apdo. 644, Bilbao 48080. Sun . "Optical properties of metals: Infrared emissivity in the anomalous skin effect spectral region". United States. https://doi.org/10.1063/1.4894169.
@article{osti_22314375,
title = {Optical properties of metals: Infrared emissivity in the anomalous skin effect spectral region},
author = {Echániz, T. and Pérez-Sáez, R. B., E-mail: raul.perez@ehu.es and Tello, M. J. and Instituto de Síntesis y Estudio de Materiales, Universidad del País Vasco, Apdo. 644, Bilbao 48080},
abstractNote = {When the penetration depth of an electromagnetic wave in a metal is similar to the mean free path of the conduction electrons, the Drude classical theory is no longer satisfied and the skin effect becomes anomalous. Physical parameters of this theory for twelve metals were calculated and analyzed. The theory predicts an emissivity peak ε{sub peak} at room temperature in the mid-infrared for smooth surface metals that moves towards larger wavelengths as temperature decreases. Furthermore, the theory states that ε{sub peak} increases with the emission angle but its position, λ{sub peak}, is constant. Copper directional emissivity measurements as well as emissivity obtained using optical constants data confirm the predictions of the theory. Considering the relationship between the specularity parameter p and the sample roughness, it is concluded that p is not the simple parameter it is usually assumed to be. Quantitative comparison between experimental data and theoretical predictions shows that the specularity parameter can be equal to one for roughness values larger than those predicted. An exhaustive analysis of the experimental optical parameters shows signs of a reflectance broad peak in Cu, Al, Au, and Mo around the wavelength predicted by the theory for p = 1.},
doi = {10.1063/1.4894169},
url = {https://www.osti.gov/biblio/22314375}, journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 9,
volume = 116,
place = {United States},
year = {2014},
month = {9}
}