Regularized waterman and rayleigh methods: Extension to two-dimensional gratings

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 16, Issue 2, 1999, Pages 284-292

  Bagieu, M ^a   Maystre, D ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004504932     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.000284     Document Type: Article

References (15)

1. P. C. Waterman, “Scattering by periodic surfaces,” J. Acoust. Soc. Am. 57, 791–802 (1975).
2. N. Garcia, V. Celli, N. R. Hill, and N. Cabrera, “Illconditioned matrices in the scattering of waves from hard corrugated surfaces,” Phys. Rev. B 18, 5184–5189 (1978).
3. G. Armand and J. R. Manson, “Scattering from a corrugated hard wall: comparison of boundary conditions,” Phys. Rev. B 19, 4091–4099 (1979).
4. J. M. Chesneaux and A. Wirgin, “Reflection from a corrugated surface revisited,” J. Acoust. Soc. Am. 96, 1116–1129 (1994).
5. Lord Rayleigh, “On the dynamical theory of gratings,” Proc. R. Soc. London, Ser. A 79, 399–415 (1907).
6. Lord Rayleigh, The Theory of Sound (Dover, New York, 1945), Vol. 2.
7. D. Maystre, “Rigorous vector theories of diffraction gratings,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1984), Vol. XXI, pp. 1–67.
8. M. Bagieu and D. Maystre, “Waterman and Rayleigh methods for diffraction problems: extension of the convergence domain,” J. Opt. Soc. Am. A 15, 1566–1576 (1998).
9. J. L. Uretsky, “The scattering of plane waves from periodic surfaces,” Ann. Phys. 33, 400–427 (1965).
10. R. Petit, “Quelques propriétés des réseaux métalliques,” Opt. Acta 14, 301–310 (1967).
11. D. Maystre and R. C. McPhedran, “Le théorème de réciprocité pour les réseaux de conductivité finie: démonstration et applications,” Opt. Commun. 12, 164–167 (1974).
12. M. Cadilhac, “Some mathematical aspects of the grating theory,” in Electromagnetic Theory of Gratings, R. Petit, ed. (Springer-Verlag, Berlin, 1980), pp. 53–62.
13. R. C. McPhedran, G. H. Derrick, and L. C. Botten, “Theory of crossed gratings,” in Electromagnetic Theory of Gratings, R. Petit, ed. (Springer-Verlag, Berlin, 1980), pp. 227–276.
14. R. C. McPhedran, G. H. Derrick, M. Nevière, and D. Maystre, “Metallic crossed gratings,” J. Opt. (Paris) 13, 209–218 (1982).
15. M. Abramowitz and A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1968).