Staircase approximation validity for arbitrary-shaped gratings

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

Volumn 19, Issue 1, 2002, Pages 33-42

  Popov, Evgeny ^a   Nevière, Michel ^a   Gralak, Boris ^a   Tayeb, Gérard ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MAXWELL EQUATIONS; POLARIZATION; SPECTROSCOPIC ANALYSIS;

COUPLED-WAVE THEORY;

DIFFRACTION GRATINGS;

EID: 0038806894     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.000033     Document Type: Article

References (22)

1. M. G. Moharam and T. K. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. 71, 811-818 (1981).
2. M. G. Moharam and T. K. Gaylord, "Rigorous coupled-wave analysis of dielectric surface-relief gratings," J. Opt. Soc. Am. 72, 1385-1392 (1982).
3. D. M. Pai and K. A. Awada, "Analysis of dielectric gratings of arbitrary profiles and thicknesses," J. Opt. Soc. Am. A 8, 755-762 (1991).
4. M. Nevière and F. Montiel, "Deep gratings: a combination of the differential theory and the multiple reflection series," Opt. Commun. 108, 1-7 (1994).
5. D. J. Zvijac and J. C. Light, "R-matrix theory for collinear chemical reactions," Chem. Phys. 12, 237-251 (1976).
6. J. C. Light and R. B. Walker, "An R-matrix approach to the solution of coupled equations for atom-molecular reactive scattering," J. Chem. Phys. 65, 4272-4282 (1976).
7. L. Li, "Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Am. A 13, 1024-1035 (1996).
8. F. Montiel, M. Nevière, and P. Peyrot, "Waveguide confinement of Cerenkov second-harmonic generation through a graded-index grating coupler: electromagnetic optimization," J. Mod. Opt. 45, 2169-2186 (1998).
9. P. Lalanne and G. Morris, "Highly improved convergence of the coupled-wave method for TM polarization," J. Opt. Soc. Am. A 13, 779-783 (1996).
10. L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. A 13, 1870-1876 (1996).
11. E. Popov and M. Nevière, "Differential theory for diffraction gratings: a new formulation for TM polarization with rapid convergence," Opt. Lett. 25, 598-600 (2000).
12. E. Popov and M. Nevière, "Grating theory: New equations in Fourier space leading to fast converging results for TM polarization," J. Opt. Soc. Am. A 17, 1773-1784 (2000).
13. J. M. Elson and P. Tran, "Dispersion in photonic media and diffraction from gratings: a different modal expansion for the R-matrix propagation technique," J. Opt. Soc. Am. A12, 1765-1771 (1995).
14. G. Tayeb, "Dispersion in photonic media and diffraction from gratings: a different modal expansion for the R-matrix propagation technique: comment," J. Opt. Soc. Am. A 13, 1766-1767 (1996).
15. L. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, and J. R. Andrewartha, "The dielectric lamellar diffraction grating," Opt. Acta 28, 413-428 (1981).
16. G. Tayeb and R. Petit, "On the numerical study of deep conducting lamellar diffraction gratings," Opt. Acta 31, 1361-1365 (1984).
17. S. E. Sandström, G. Tayeb, and R. Petit, "Lossy multistep lamellar gratings in conical diffraction mountings: An exact eigenfunction solution," J. Electromagn. Waves Appl. 7, 631-649 (1993).
18. R. H. Morf, "Exponentially convergent and numerically efficient solution of Maxwell's equations for lamellar gratings," J. Opt. Soc. Am. A12, 1043-1056 (1995).
19. D. Maystre, "Integral methods," in Electromagnetic Theory of Gratings, R. Petit, ed., (Springer-Verlag, Berlin, 1980), Chap. 3.
20. G. Tayeb, "The method of fictitious sources applied to diffraction gratings," special issue on "Generalized Multipole Techniques (GMT)" of Appl. Comput. Electromagn. Soc. J. 9, 90-100 (1994).
21. E. Popov and M. Nevière, "Maxwell equations in Fourier space: fast converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media," J. Opt. Soc. Am. A 18, 2886-2894 (2001).
22. P. Lalanne, "Convergence performance of the coupled-wave and the differential method for thin gratings," J. Opt. Soc. Am. A 14, 1583-1591 (1997).