New formulation of the Fourier modal method for crossed surface-relief gratings

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

Volumn 14, Issue 10, 1997, Pages 2758-2767

  Li, Lifeng ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000438638     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.002758     Document Type: Article

References (20)

1. P. Vincent, “A finite-difference method for dielectric and conducting crossed gratings,” Opt. Commun. 26, 293–296 (1978).
2. D. Maystre and M. Neviere, “Electromagnetic theory of crossed gratings,” J. Opt. (Paris) 9, 301–306 (1978).
3. S. T. Han, Y.-L. Tsao, R. M. Walser, and M. F. Becker, “Electromagnetic scattering of two-dimensional surface-relief dielectric gratings,” Appl. Opt. 31, 2343–2352 (1992).
4. G. H. Derrick, R. C. McPhedran, D. Maystre, and M. Neviere, “Crossed gratings: a theory and its applications,” Appl. Phys. 18, 39–52 (1979).
5. R. C. McPhedran, G. H. Derrick, M. Neviere, and D. Maystre, “Metallic crossed gratings,” J. Opt. (Paris) 13, 209–218 (1982).
6. G. Granet, “Diffraction par des surfaces bip^riodiques: resolution en coordonn^es non-orthogonales,” Pure Appl. Opt. 4, 777–793 (1995).
7. 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).
8. D. C. Dobson and J. A. Cox, “An integral equation method for biperiodic diffraction structures,” in International Conference on the Application and Theory of Periodic Structures, J. M. Lerner and W. R. McKinney, eds., Proc. SPIE 1545, 106–113 (1991).
9. R. Brauer and O. Bryngdahl, “Electromagnetic diffraction analysis of two-dimensional gratings,” Opt. Commun. 100, 1–5 (1993).
10. E. Noponen and J. Turunen, “Eigenmode method for electromagnetic synthesis of diffractive elements with threedimensional profiles,” J. Opt. Soc. Am. A 11, 2494–2502 (1994).
11. J.-J. Greffet, C. Baylard, and P. Versaevel, “Diffraction of electromagnetic waves by crossed gratings: a series solution,” Opt. Lett. 17, 1740–1742 (1992).
12. 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).
13. O. P. Bruno and F. Reitich, “Calculation of electromagnetic scattering via boundary variations and analytic continuation,” Appl. Computat. Electromagn. Soc. J. 11, 17–31 (1996).
14. L. Li, “Use of Fourier series in the analysis of discontinuous periodic structures,” J. Opt. Soc. Am. A 13, 1870–1876 (1996).
15. 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).
16. 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).
17. R. C. Wrede, Introduction to Vector and Tensor Analysis (Dover, New York, 1972), Chap. 1.
18. L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024–1035 (1996).
19. S. Zohar, “Toeplitz matrix inversion: the algorithm of W. F. Trench,” J. Assoc. Comput. Mach. 16, 592–601 (1969).
20. 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).