Refining the Results of the Electronic Theory of Reflection of Metals
World Journal of Applied Physics
Volume 5, Issue 1, March 2020, Pages: 15-20
Received: May 26, 2020;
Accepted: Jun. 5, 2020;
Published: Jul. 4, 2020
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Konstantin Ludanov, Department No 5, Institute for Renewable Energy of NASU, Kiev, Ukraine
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The article provides an accurate analytical approximation of the expressions of the known results of the electronic theory of reflection of metals, i.e. for the spectral and integrated reflectivity of
(Drude and Hagen-Rubens formulas, as well as the formulas of Ashkinass, Foote, Eckert and Drake, which are fragments of power series). Compact closed expressions for
are obtained, and published experimental data on the reflectivity of the polished metal surface in new coordinate systems are processed and analyzed: (ln
~λ and ln
~ T. It turned out that the experimental data on
in the new coordinates clearly “lie” on the straight lines, which in the general case do not pass through the origin, which required introducing into the expression
a new parameter − λо
, taking into account the difference between the "optical" conductivity σо
(ω) from the electrical σе
, where lо
constant specific to each of the metal (for example, Ag, and Al: λо
>0, for Ni and W: λо
= 0, for Au and Cu: λо
<0). In obtaining the final formula for
a new mathematical derivation scheme was used, starting with an analysis of a pair of equivalent expressions of the complex refractive index of the metal — much more justified and brief.
Electronic Theory of Reflection of Metals, Normal Spectral Reflectivity, Optical Conductivity, Approximation of Power Series, Processing of Experimental Data
To cite this article
Refining the Results of the Electronic Theory of Reflection of Metals, World Journal of Applied Physics.
Vol. 5, No. 1,
2020, pp. 15-20.
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
DrudeP. Optics (Moscow: ONTI: 1935).
Zener C. Nature, 132, 968 (1953).
Roberts S. Electronics (translation), No. 1 (1955).
Roberts S. Physical Review, 114, No. 1 (1959).
Edwards J. Heat Transfer (Translation), No. 1 (1962).
Edwards J., de Volo. Heat Transfer (Translation), No. 3 (1965).
Handbook of heat exchangers. (M.: Energoatomizdat: 1987).
Sokolov A. V. Optical properties of metals (M: FM: 1961).
Khrustalev B. A. Radiation properties of solids. Review, IFJ, XVIII, No. 4 (1970).
Garbuni M. Physics of optical phenomena. (Moscow: Energy: 1967).
Ginzburg V. L., Motulevich G. P. Physics – Uspekhi, LV, No. 4 (1955).
Blokh A. G., Zhuravlev Yu. A., Ryzhikov L. N. Radiation heat transfer. Handbook (Moscow: Energoatomizdat: 1991).
Vinogradov V. N., Gai E. V., Rabotnov N. S. Analytical approximation of data in nuclear and neutron physics (Moscow: Energoatomizdat: 1987).
Ludanov K. I. Method of obtaining approximate formulas // «EUREKA: Physics and Engineering» (Mathematical sciences) No. 2, p. 72-78 (2018).
Emissive properties of solid materials. Directory. Ed. A. E. Sheidlin (Moscow: Energy, 1974).
Siegel R., Howell J. Heat transfer by radiation (Moscow: World: 1975).
Ludanov K. I. Closed solution of the Schmidt-Eckert problem of determining the temperature dependence of the integral reflectivity of metals in the normal direction // Abstracts at the XI School-Seminar of Academician A. I. Leontyev. (May 20-25, 2001. Sainct-Petersburg, Russia).
Helfgott, Zeits. f. Physik. 49, 555 (1928).
Novitsky L. A., Stepanov B. M. Optical properties of materials at low temperatures (Moscow: Mechanical Engineering: 1978).
Bloch A. G. Fundamentals of heat transfer by radiation (Moscow: SEI: 1962).