Abstract
The frequency and temperature dependence of the size effect on the profile distribution of electromagnetic fields inside thin metallic films within the anomalous skin-effect region is theoretically studied. The relaxation time of conduction electrons is stated as τ ≈ (aT +bω 2)−1 in accord with Matthiessen's rule for current conduction. The errors of using the plane wave solution e−uWz turns out to be as large as 5.5% compared to the total field including the higher-order terms for silver films with a thickness of 30 nm. However, the imaginary parts of the electric field for thinner metal films at lower temperatures are less affected by higher-order terms.
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J. Szczyrbowski, K. Schmalybamer, H. Hoffmann: Phys. Rev. B32, 763 (1985)
M.S.D. Lucas: J. Appl. Phys.36, 1632 (1965)
P. Marquardt, G. Nimtz: Phys. Rev.43, 14245 (1991)
J.S. Sheng, J.T. Lue: Appl. Phys. A55, 537 (1992)
S.B. Soffer: J. Appl. Phys.38, 1710 (1967)
Y.S. Hor, J.T. Lue: Surf. Sci.304, 378 (1994)
M.L. Theye: Phys. Rev.2, 3060 (1970)
G.E. Reuter, E.H. Sonderheimer: Proc. R. Soc. London A195, 336 ( 1948)
N.W. Ashcroft, N.D. Mermin: Solid State Phys.8 (1976)
G.W.C. Kaye, T.H. Laby:Table of Physical and Chemical Constants (Longmans House, London 1986) p. 117
E.D. Palik:Handbook of Optical Constants of Solids (Academic, New York 1985) p. 350
B. Dold, R. Necke: Optik22, 435 (1965)
J. Szczyrbowski, J. Dryzek, A. Czapla: Thin Solid Films112, 175 (1984)
F.E. Hutchison, W.N. Hansen: Phys. Rev. B20, 4076 (1979)
F.E. Hutchison, W.N. Hansen: Phys. Rev. B20, 4069 (1979)
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Hor, Y.S., Lue, J.T. Deviation of the plane-wave approximation for optical fields in thin metallic films at various frequencies and temperatures. Appl. Phys. B 62, 303–308 (1996). https://doi.org/10.1007/BF01080960
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DOI: https://doi.org/10.1007/BF01080960