Asymptotic solutions for backscattering by smooth 2D surfaces

Progress in Electromagnetics Research

Volumn 53, Issue , 2005, Pages 189-226

  Fuks, Iosif M ^a  

^a NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC SOLUTIONS; DIFFRACTION CORRECTION; ELECTRIC AND MAGNETIC FIELDS; EXPLICIT EQUATIONS; HIGH-FREQUENCY ASYMPTOTICS; INCIDENCE ANGLES; LINEAR POLARIZATION; POLARIZATION RATIOS;

BACKSCATTERING; CYLINDERS (SHAPES); GEOMETRICAL OPTICS; POLARIZATION;

TWO DIMENSIONAL;

EID: 33744996256     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER04092102     Document Type: Article

References (22)

1. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, Part I, McGraw-Hill, New York, 1953.
2. Watson, G. N., "The diffraction of electrical waves by the earth," Proc. Roy. Soc. (London), Vol. A95, 83-99, 1918.
3. Wait, J. R., Electromagnetic Radiation from Cylindrical Structures, Pergamon, New York, 1959.
4. Kouyoumjian, R. G., "Asymptotic high-frequency methods," Proc. IEEE, Vol. 53, 864-876, August 1965.
5. Bowman, J. J., T. B. A. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes, Hemisphere Publishing Corp., New York, 1987.
6. Keller, J. B., R. M. Lewis, and B. D. Seckler, "Asymptotic solution of some diffraction problems," Comm. Pure Appl. Mathem., Vol. 9, 207-265, 1956.
7. Keller, J. B., "Geometrical theory of diffraction," J. Opt. Sci. Am. Vol. 52, 116-130, 1962.
8. Babič, V. M. and V. S. Buldyrev, Short-wavelength Diffraction Theory, Springer-Verlag, Berlin, 1991.
9. Borovikov, V. A. and B. Ye. Kinber, Geometrical Theory of Diffraction, The Institution of Electrical Engineers, London, 1994.
10. Kravtsov, Yu. A. and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media, Springer-Verlag, Berlin, 1990.
11. Fuks, I. M., "Reflection and refraction of a wave of arbitrary shape on a curvilinear surface (in Russian)," Izv. VUZ., Radiofizika, Vol. 8, No. 6, 1078-1086, 1965; (English transl. in Soviet Radiophysics, Vol. 8, No. 6, 772-779, The Faraday Press, Inc., New York, 1965).
12. Gel'chinskii, B. Ya., "Reflection and refraction of an elastic wave of arbitrary form in the case of a curved interface," Soviet Phys.-Doklady, Vol. 3, No. 1, 186-188, 1958.
13. Fok, V. A., "Generalization of reflecting formulas to the case of reflection of an arbitrary wave from a surface of arbitrary shape," Soviet Phys.-JTF, Vol. 20, No. 11, 961-978, 1950.
14. Keller, J. B. and H. B. Keller, "Determination of reflected and transmitted fields by geometrical optics," J. Opt. Soc. Am., Vol. 40, No. 1, 48-52, 1950.
15. Bass F. G. and I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (in Russian), Nauka, Moscow, 1972; (English translation: International Series in Natural Philosophy, Vol. 93, C. B. Vesecky and J. F. Vesecky (eds.), Pergamon, Oxford, 1978).
16. Schensted, C. E., "Electromagnetic and acoustical scattering by a semi-infinite body of revolution," J. Appl. Phys., Vol. 26, 306-308, 1955.
17. Lee, S.-W., "Electromagnetic reflection from a conducting surface: geometrical optics solution," IEEE Trans. Antennas Propagat., Vol. AP-23, No. 2, 184-191, March 1975.
18. Fuks, I. M., "High-frequency asymptotic expansions of a backscattered cross-section and HH/VV polarization ratio for smooth two-dimensional surfaces," Waves Random Media, Vol. 14, 143-156, 2004.
19. West, J. C., "Low-grazing-angle (LGA) sea-spike backscattering from plunging breaker crests," IEEE Trans. Geosci. Remote Sensing, Vol. 40, 523-526, 2002.
20. Brekhovskikh, L. M., "Wave diffraction by a rough surface," Parts 1 and 2, Sov. Phys. JETF, Vol. 23, No. 3 (9), 275-288, 289-304, 1952.
21. Isakovich, M. A., "Wave scattering from a statistically rough surface," Sov. Phys. JETF, Vol. 23, No. 3 (9), 305-314, 1952.
22. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1972.