Generalization of the coordinate transformation method with application to surface-relief gratings

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

Volumn 16, Issue 3, 1999, Pages 508-516

  Plumey, J P ^a   Granet, G ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008487591     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.000508     Document Type: Article

References (25)

1. J. Chandezon, D. Maystre, and G. Raoult, “A new theoretical method for diffraction gratings and its numerical application,” 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. J. Post, Formal Structure of Electromagnetics (NorthHolland, Amsterdam, 1962).
4. L. Li, “Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited,” J. Opt. Soc. Am. A 11, 2816–2828 (1994).
5. E. Popov, L. Tsonev, and D. Maystre, “Gratings—general properties of the Littrow mounting and energy flow distribution,” J. Mod. Opt. 37, 367–377 (1990).
6. E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta 33, 607–619 (1986).
7. E. Popov, L. Tsonev, and D. Maystre, “Losses of plasmon surface waves on metallic grating,” J. Mod. Opt. 37, 379–387 (1990).
8. E. Popov and L. Mashev, “Conical diffraction mounting. Generalization of a rigorous differential method,” J. Opt. (Paris) 17, 175–180 (1986).
9. J. P. Plumey, G. Granet, and J. Chandezon, “Differential covariant formalism for solving Maxwell’s equations in curvilinear coordinates: oblique scattering from lossy periodic surfaces,” IEEE Trans. Antennas Propag. 43, 835–842 (1995).
10. G. Granet, J. P. Plumey, and J. Chandezon, “Scattering by periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).
11. 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).
12. L. Li, G. Granet, J. P. Plumey, and J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (1996).
13. G. Granet, “Analysis of diffraction by crossed gratings using a non-orthogonal coordinate system,” Pure Appl. Opt. 4, 777–793 (1995).
14. J. B. Harris, T. W. Preist, J. R. Sambles, R. N. Thorpe, and R. A. Watts, “Optical response of bigratings,” J. Opt. Soc. Am. A 13, 2041–2049 (1996).
15. G. Granet, J. Chandezon, and O. Coudert, “Extension of the C method to nonhomogeneous media: application to nonhomogeneous layers with parallel modulated faces and to inclined lamellar gratings,” J. Opt. Soc. Am. A 14, 1576–1582 (1997).
16. M. E. Inchaussange and R. A. Depine, “Polarization conversion from diffraction gratings made of uniaxial crystals,” Phys. Rev. E 54, 2899–2911 (1996).
17. M. E. Inchaussange and R. A. Depine, “Rigorous vector theory for diffraction from gratings made of biaxial crystals,” J. Mod. Opt. 44, 1–27 (1997).
18. 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).
19. J. B. Harris, T. W. Preist, J. B. Wood, and J. R. Sambles, “Conical diffraction from multicoated gratings containing uniaxial materials,” J. Opt. Soc. Am. A 13, 803–810 (1996).
20. L. Li and J. Chandezon, “Improvement of the coordinate transformation method for surface-relief gratings with sharp edges,” J. Opt. Soc. Am. A 13, 2247–2255 (1996).
21. J. P. Plumey, B. Guizal, and J. Chandezon, “Coordinate transformation method as applied to asymmetric gratings with vertical facets,” J. Opt. Soc. Am. A 14, 610–617 (1997).
22. T. W. Preist, J. B. Harris, N. P. Wanstall, and J. R. Sambles, “Optical response of blazed and overhanging gratings using oblique Chandezon transformations,” J. Mod. Opt. 44, 1073–1080 (1997).
23. G. Granet and J. Chandezon, “The method of curvilinear coordinates applied to the problem of scattering from surfacerelief gratings defined by parametric equations: application to scattering from a cycloidal grating,” Pure Appl. Opt. 6, 727–740 (1997).
24. G. Granet and B. Guizal, “Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization,” J. Opt. Soc. Am. A 14, 1019–1023 (1997).
25. R. Janaswany, “Oblique scattering from lossy periodic surfaces with application to anechoic chamber absorbers,” IEEE Trans. Antennas Propag. 40, 162–169 (1995).