Abstract
A phenomenological model is proposed and implemented for calculating the electrodynamic and radiative characteristics of a small-scale statistically rough surface. Elements of the theory of excursions of a random field are used, providing a simple means for determining the effective parameters of the transition layer from the given characteristics of the random surface. A numerical example is discussed, illustrating the main functional dependences of radiation from a Gaussian surface with a broad spectrum of roughness elements (corrugations). Restrictions are not imposed on the slopes of the corrugations.
Similar content being viewed by others
Literature Cited
F. G. Bass and I. M. Fuks,Wave Scattering from Statistically Rough Surfaces, Pergamon Press, New York (1979).
S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii,Introduction to Statistical Radiophysics, Part 2: Random Fields [in Russian], Nauka, Moscow (1978).
J. A. Kong, S. L. Lin, and S. L. Chuang,IEEE Trans. Geosci. Remote Sensing, No. 4, 377 (1984).
A. S. Bryukhovetskii and I. M. Fuks,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,28, No. 11, 1400 (1984).
M. I. Ryazanov,Zh. Éksp. Teor. Fiz.,93, No. 4 (10), 1281 (1987).
A. G. Slutskii and I. G. Yakushkin,Izv. Vyssh. Uchebn. Zaved, Radiofiz.,32, No. 2, 183 (1989).
V. E. Gershenzon, V. Yu. Raizer, and V. S. Étkin,Izv. Vyssh. Uchebn. Zaved., Radiofiz. 25, No. 11, 1279 (1982).
V. E. Gershenzon, V. Yu. Raizer, and V. S. Étkin,Dokl. Akad. Nauk SSSR,263, No. 4, 959 (1982).
V. E. Gershenzon, B. L. Novak, et al.,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,26, No. 5, 587 (1983).
L. D. Landau and E. M. Lifshitz,Electrodynamics of Continuous Media, 2nd edn. (rev. and enl., with L. P. Pitaevskii), Pergamon Press, Oxford-New York (1984).
H. Cramér and M. R. Leadbetter,Stationary and Related Stochastic Processes, Wiley, New York (1967).
V. I. Tikhonov and V. I. Khimenko,Excursions of the Paths of Stochastic Processes [in Russian], Nauka, Moscow (1987).
A. P. Khusu, Yu. R. Vitenberg, and V. A. Pal'mov,Roughness of Surfaces: Probability Theory Approach [in Russian], Nauka, Moscow (1975).
V. G. Irisov, Yu. G. Trokhimovskii, and V. S. Étkin,Dokl. Akad. Nauk SSSR,297, No. 3, 587 (1987).
V. Yu. Raizer, E. A. Sharkov, and V. S. Étkin,Izv. Akad. Nauk. SSSR, Ser Fiz. Atm. Okeana,11, No. 6, 652 (1975).
E. C. Chan and J. P. Marton,J. Appl. Phys.,45, No. 11, 5004 (1974).
S. M. F. Nee,Appl. Opt.,27, No. 4, 2819 (1988).
N. A. Khizhnyak,Integral Equations of Macroscopic Electrodynamics [in Russian], Naukova Dumka, Kiev (1986).
Additional information
Institute of Cosmic Research, Academy of Sciences of the USSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 34, No. 2, pp. 147–156, February, 1991.
Rights and permissions
About this article
Cite this article
Kuz'min, A.V., Raizer, V.Y. Application of the theory of excursions of a random field to the analysis of radiation from a rough surface in the quasistatic approximation. Radiophys Quantum Electron 34, 128–135 (1991). https://doi.org/10.1007/BF01045519
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01045519