Diffraction of electromagnetic waves by dielectric crossed gratings: A three-dimensional Rayleigh–Fourier solution

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

Volumn 16, Issue 6, 1999, Pages 1277-1285

  Bagnoud, V ^a   Mainguy, S ^a  

^a CEA CESTA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DIELECTRIC DEVICES; ELECTROMAGNETIC WAVE DIFFRACTION; INTEGRAL EQUATIONS; LIGHT POLARIZATION; MATHEMATICAL MODELS; MATRIX ALGEBRA;

DIELECTRIC CROSSED GRATINGS; RAYLEIGH HYPOTHESIS; THREE-DIMENSIONAL RAYLEIGH-FOURIER GRATING METHOD;

DIFFRACTION GRATINGS;

EID: 0032606611     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.001277     Document Type: Article

References (21)

1. B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and Lifeng Li, “Design of high efficiency dielectric reflection gratings,” J. Opt. Soc. Am. A 14, 1124–1135 (1997).
2. R. Petit, Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1981).
3. D. Maystre, ed., Selected Papers on Diffraction Gratings, Vol. MS83 of SPIE Milestone Series (SPIE Press, Bellingham, Wash., 1993).
4. G. H. Derrick, R. C. McPhedran, D. Maystre, and M. Nevière, “Crossed gratings: a theory and its applications,” Appl. Phys. 18, 39–52 (1979).
5. D. Maystre and M. Neviére, “Electromagnetic theory of crossed gratings,” J. Opt. (Paris) 9, 301–306 (1978).
6. P. Vincent, “A finite difference method for dielectric and conducting crossed gratings,” Opt. Commun. 26, 293–296 (1978).
7. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. A 71, 811–818 (1981).
8. R. Bräeuer and O. Bryngdahl, “Electromagnetic diffraction analysis of two-dimensional gratings,” Opt. Commun. 100, 1–5 (1993).
9. P. Lalanne and G. M. Morris, “Highly improved convergence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A 13, 779–784 (1996).
10. L. Li, “New formulation of the Fourier modal method for crossed surface-relief gratings,” J. Opt. Soc. Am. A 14, 2758–2767 (1997).
11. J. J. Greffet, “Scattering of electromagnetic waves by rough dielectric surfaces,” Phys. Rev. B 37, 6436–6441 (1988).
12. J. J. Greffet, C. Baylard, and P. Versaevel, “Diffraction of electromagnetic waves by crossed gratings: a series solution,” Opt. Lett. 17, 1740–1742 (1992).
13. J. J. Greffet and Z. Maassarani, “Scattering of electromagnetic waves by a grating: a numerical evaluation of the iterative-series solution,” J. Opt. Soc. Am. A 7, 1483–1493 (1990).
14. T. Delort and D. Maystre, “Finite-element method for gratings,” J. Opt. Soc. Am. A 10, 2592–2601 (1993).
15. O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. III. Doubly periodic gratings,” J. Opt. Soc. Am. A 10, 2551–2562 (1993).
16. G. Granet, “Analysis of diffraction by crossed gratings using a non-orthogonal coordinate system,” Pure Appl. Opt. 4, 777–793 (1995).
17. J. W. S. Rayleigh, The Theory of Sound (Macmillan, London, 1896).
18. A. A. Wirgin, “On Rayleigh’s theory of partially reflecting gratings,” Opt. Acta 28, 1377–1404 (1981).
19. S. Mainguy and J. J. Greffet, “A numerical evaluation of Rayleigh’s theory applied to scattering by randomly rough dielectric surfaces,” Waves Random Media 8, 79–101 (1998).
20. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 4–7.
21. V. I. Tatarskii, “Relation between the Rayleigh equation in diffraction theory and the equation based on Green’s formula,” J. Opt. Soc. Am. A 12, 1254–1260 (1995).