Light scattering by a reentrant fractal surface

Applied Optics

Volumn 36, Issue 15, 1997, Pages 3521-3531

  Mendoza Suárez, Alberto ^a,b   Méndez, Eugenio R ^a  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

^b UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001561438     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.003521     Document Type: Article

References (35)

1. E. R. Mendez and K. A. O’Donnell, “Observation of depolarization and backscattering enhancement in light scattering from Gaussian random surfaces,” Opt. Commun. 61, 91-95 (1987).
2. K. A. O’Donnell and E. R. Mendez, “Experimental study of scattering from characterized random surfaces,” J. Opt. Soc. Am. A 4, 1194-1205 (1987).
3. B. J. Kachoyan and C. Macaskill, “Acoustic scattering from an arbitrary rough surface,” J. Acoust. Soc. Am. 82, 1720-1726 (1987).
4. M. Nieto-Vesperinas and J. M. Soto-Crespo, “Monte Carlo simulations for scattering of electromagnetic waves from perfectly conductive random rough surface,” Opt. Lett. 12, 979-981 (1987).
5. E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78-92 (1988).
6. A. A. Maradudin, E. R. Mendez, and T. Michel, “Backscattering effects in the elastic scattering of p-polarized light from a large amplitude random metallic grating,” Opt. Lett. 14, 151-153 (1989).
7. M. Saillard and D. Maystre, “Scattering from metallic and dielectric rough surfaces,” J. Opt. Soc. Am. A 7, 982-990 (1990).
8. D. Maystre, “Integral methods,” in Electromagnetic Theory of Gratings, R. Petit, ed. (Springer-Verlag, New York, 1980), pp. 63-100.
9. K. K. Mei and J. G. Van Bladel, “Scattering by perfectly-conducting rectangular cylinders,” IEEE Trans. Antennas Propag. AP-11, 185-192 (1963).
10. P. Vincent, “Differential methods,” in Electromagnetic Theory of Gratings, R. Petit, ed. (Springer-Verlag, New York, 1980), pp. 101-121.
11. F. Moreno, F. Gonzalez, J. M. Saiz, P. J. Valle, and D. L. Jordan, “Experimental study of copolarized light scattering by spherical metallic particles in conducting flat substrates,” J. Opt. Soc. Am. A 10,141-149 (1993).
12. P. J. Valle, F. Gonzalez, and F. Moreno, “Electromagnetic wave scattering from conducting cylindrical structures on flat surfaces: study by means of the extinction theorem,” Appl. Opt. 33, 512-523 (1994).
13. A. A. Maradudin, T. Michel, A. R. McGurn, and E. R. Mendez, “Enhanced backscattering of light from a random grating,” Ann. Phys. (N.Y.) 203, 255-307 (1990).
14. T. M. Apostol, Mathematical Analysis (Addison-Wesley, Reading, Mass., 1964), pp. 169-176.
15. T. M. Apostol, Mathematical Analysis (Addison-Wesley, Reading, Mass., 1964), p. 315.
16. A. Mendoza-Suarez, “Metodos rigurosos para el esparcimiento de luz por superficies rugosas y medios estratificados con perfiles arbitrarios,” Ph.D. dissertation Centro de Investigacion Cientifica y de Educacion Superior de Ensenada (1996). Procedures to deal with singular points have also been discussed by A. W. Glisson and D. R. Wilton, “Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces,” IEEE Trans. Antennas Propag. AP-28, 593-603 (1980).
17. Yon-Lin Kok, “General solution to the multiple-metallic-grooves scattering problem: the fast-polarization case,” Appl. Opt. 32, 2573-2581 (1993).
18. E. Jakeman and J. G. McWhirter, “Correlation function dependence of scintillation behind a deep random phase screen,” J. Phys. A 10, 1599-1643 (1977).
19. C. L. Rino, “A power law phase screen model for ionospheric scintillations 1. Weak scatter,” Radio Sci. 14, 1135-1146 (1979).
20. C. L. Rino, “A power law phase screen model for ionospheric scintillations 2. Strong scatter,” Radio Sci. 14, 1147-1155 (1979).
21. M. V. Berry, “Diffractals,” J. Phys. A 12, 781-797 (1979).
22. M. V. Berry and Z. V. Lewis, “On the Weierstrauss-Mandelbrot fractal function,” Proc. R. Soc. London Ser. A 370, 459-484 (1980).
23. M. V. Berry and T. M. Blackwell, “Diffractal echoes,” J. Phys. A 14, 3101-3110 (1981).
24. E. Jakeman, “Scattering by a corrugated random surface with fractal slope,” J. Phys. A 15, L55-L59 (1982).
25. E. Jakeman, “Fresnel scattering by a corrugated random surface with fractal slope,” J. Opt. Soc. Am. 72, 1034-1041 (1982).
26. E. Jakeman, “Fraunhofer scattering by a subfractal diffuser,” Opt. Acta 30, 1207-1212 (1983).
27. D. L. Jaggard and Y. Kim, “Diffraction by band-limited fractal screens,” J. Opt. Soc. Am. A 4, 1055-1062 (1987).
28. B. J. West, “Sensing scaled scintillations,” J. Opt. Soc. Am. A 7, 1074-1100 (1990).
29. D. L. Jaggard and X. Sun, “Scattering from fractally corrugated surfaces,” J. Opt. Soc. Am. A 7, 1131-1139 (1990).
30. C. J. R. Sheppard, “Scattering by fractal surfaces with an outer scale,” Opt. Commun. 122, 178-188 (1996).
31. D. L. Jaggard and X. Sun, “Fractal surface scattering: a gen eralized Rayleigh solution,” J. Appl. Phys. 68, 5456-5462 (1990).
32. A. A. Maradudin and T. Michel, “Role of the surface height correlation function in the enhanced backscattering of light from random metallic surfaces,” in Wave Propagation and Scattering in Varied Media II, V. K. Varadan, ed., Proc. SPIE 1558, 233-250 (1991).
33. S. Savaidis, P. Frangos, D. L. Jaggard, and K. Hizanidis, “Scattering from fractally corrugated surfaces: an exact ap proach,” Opt. Lett. 20, 2357-2359 (1995).
34. J. Feder, Fractals (Plenum, New York, 1988), p. 15.
35. D. E. Gray, ed., American Institute of Physics Handbook, 3rd ed., (McGraw-Hill, New York, 1972), p. 6-138.