Improvement of the coordinate transformation method for surface-relief gratings with sharp edges

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

Volumn 13, Issue 11, 1996, Pages 2247-2255

  Chandezon, Jean ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITÉ CLERMONT AUVERGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001060207     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.002247     Document Type: Article

References (22)

1. J. Chandezon, D. Maystre, and G. Raoult, “A new theoreti- cal method for diffraction gratings and its numerical appli- cation,” J. Opt. (Paris) 11, 235–241 (1980).
2. J. Chandezon, M. T. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. 72, 839–846 (1982).
3. E. Popov and L. Mashev, “Conical diffraction mounting gen- eralization of a rigorous differential method,” J. Opt. (Paris) 17, 175–180 (1986).
4. S. J. Elston, G. P. Bryan-Brown, and J. R. Sambles, “Polar- ization conversion from diffraction gratings,” Phys. Rev. B 44, 6393–6400 (1991).
5. E. Popov and M. Nevière, “Surface-enhanced second-harmonics generation in nonlinear corrugated dielectrics: new theoretical approaches,” J. Opt. Soc. Am. B 11, 1555–1564 (1994).
6. L. Li, “Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited,” J. Opt. Soc. Am. A 11, 2816–2828 (1994); errata, J. Opt. Soc. Am. A 13, 543 (1996).
7. N. P. K. Cotter, T. W. Preist, and J. R. Sambles, “Scattering-matrix approach to multilayer diffraction,” J. Opt. Soc. Am. A 12, 1097–1103 (1995).
8. G. Granet, J. P. Plumey, and J. Chandezon, “Scattering by a periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).
9. T. W. Preist, N. P. K. Cotter, and J. R. Sambles, “Periodic multilayer gratings of arbitrary shape,” J. Opt. Soc. Am. A 12, 1740–1748 (1995).
10. L. Li, G. Granet, J. P. Plumey, and J. Chandezon, “Some topics in extending the C method to multilayer-coated gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (1996)
11. L. Li, “Periodic multilayer gratings of arbitrary shape: comment,” J. Opt. Soc. Am. A 13, 1475–1476 (1996).
12. J. B. Harris, T. W. Preist, and J. R. Sambles, “Differential formalism for multilayer diffraction gratings made with uniaxial materials,” J. Opt. Soc. Am. A 12, 1965–1973 (1995)
13. K. Knop, “Rigorous diffraction theory for transmission gratings with deep rectangular grooves,” J. Opt. Soc. Am. 68, 1206–1210 (1978).
14. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of metallic surface-relief gratings,” J. Opt. Soc. Am. A 3, 1780–1787 (1986).
15. L. Li and C. W. Haggans, “Convergence of the coupled-wave method for metallic lamellar diffraction gratings,” J. Opt. Soc. Am. A 10, 1184–1189 (1993).
16. P. Lalanne and G. M. Morris, “Highly improved conver- gence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A 13, 779–784 (1996).
17. G. Granet and B. Guizal, “Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization,” J. Opt. Soc. Am. A 13, 1019–1023 (1996).
18. L. Li, “Use of Fourier series in the analysis of discontinuous periodic structures,” J. Opt. Soc. Am. A 13, 1870–1876 (1996)
19. R. C. Wrede, Introducción to Vector and Tensor Analysis (Dover, New York, 1972), Chap. 1, Sec. 5, pp. 65–85.
20. E. J. Post, Formal Structure of Electromagnetics (North- Holland, Amsterdam, 1962), Chap. 3, p. 47, and Chap. 6, p. 119.
21. L. Li, “Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity,” J. Opt. Soc. Am. A 10, 2583–2591 (1993).
22. G. Tayeb, “The method of fictitious sources applied to diffraction gratings,” Appl. Computat. Electromagn. Soc. J. 9, 90–100 (1994).