Study of the differential theory of lamellar gratings made of highly conducting materials

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

Volumn 23, Issue 1, 2006, Pages 69-72

  Watanabe, Koki ^a  

^a FUKUOKA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONDUCTIVE MATERIALS; CONVERGENCE OF NUMERICAL METHODS; EXTRAPOLATION; FOURIER TRANSFORMS; MATRIX ALGEBRA; METALS; PERMITTIVITY; REFRACTIVE INDEX;

DIFFERENTIAL THEORY; LAMELLAR GRATINGS; PERMITTIVITY DISTRIBUTION; SURFACE-RELIEF GRATINGS; TOEPLITZ MATRICES;

DIFFRACTION GRATINGS;

EID: 31344443594     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.23.000069     Document Type: Article

References (19)

1. R. Petit, "Diffraction d'une onde plane par un réseau métallique," Rev. Opt., Theor. Instrum. 45, 353-370 (1966) (in French).
2. G. Cerutti-Maori, R. Petit, and M. Cadilhac, "Etude numérique du champ diffracté par un réseau," C. R. Hebd. Seances Acad. Sci. 268, 1060-1063 (1969) (in French).
3. P. Vincent, "Differential methods," in Electromagnetic Theory of Gratings, R. Petit, ed. (Springer-Verlag, 1980), pp. 101-121.
4. L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. A 13, 1870-1876 (1996).
5. L. Li, "Reformulation of the Fourier model method for surface-relief grating made with anisotropic materials," J. Mod. Opt. 45, 1313-1334 (1998).
6. 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).
7. K. Watanabe, R. Petit, and M. Nevière, "Differential theory of grating made of anisotropic materials," J. Opt. Soc. Am. A 19, 325-334 (2002).
8. E. Popov and M. Nevière, "Maxwell equation in Fourier space: fast converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media," J. Opt. Soc. Am. A 18, 2886-2894 (2001).
9. E. Popov, B. Chernov, M. Nevière, and N. Bonod, "Differential theory: Application to highly conducting gratings," J. Opt. Soc. Am. A 21, 199-206 (2004).
10. K. Knop, "Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves," J. Opt. Soc. Am. 68, 1206-1210 (1978).
11. M. G. Moharam and T. K. Gaylord, "Diffraction analysis of dielectric surface-relief gratings," J. Opt. Soc. Am. 72, 1385-1392 (1982).
12. K. Watanabe, J. Pištora, M. Foldyna, K. Postava, and J. Vlček, "Numerical study on the spectroscopic ellipsometry of lamellar gratings made of lossless dielectric materials," J. Opt. Soc. Am. A 22, 745-751 (2005).
13. 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).
14. L. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, and J. R. Andrewartha, "The finitely conducting lamellar diffraction grating," Opt. Acta 28, 1087-1102 (1981).
15. L. Li, "Formulation of comparison of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Am. A 13, 1024-1035 (1996).
16. K. Watanabe, "Numerical integration schemes used on the differential theory for anisotropic gratings," J. Opt. Soc. Am. A 19, 2245-2252 (2002).
17. T. Hosono and S. Yamaguchi, "Some difficulties in homogeneous multilayer approximation method and their remedy," IEICE Trans. J64-B, 1115-1122 (1981) (in Japanese).
18. T. Yamasaki, K. Isono, and T. Hinata, "Analysis of electromagnetic field in inhomogeneous media by Fourier series expansion methods: The case of dielectric constant mixed in positive/negative medium," Papers of Tech. Meeting on Electromagnetic Theory, IEE Japan, EMT-04-121, 2004 (in Japanese).
19. T. Yamasaki, K. Isono, and T. Hinata, "Analysis of electromagnetic field in inhomogeneous media by Fourier series expansion methods: The case of dielectric constant mixed in positive/negative medium: part II," Papers of Tech. Meeting on Electromagnetic Theory, EMT-05-7 (IEE Japan, 2005) (in Japanese).