Note on the S-matrix propagation algorithm

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

Volumn 20, Issue 4, 2003, Pages 655-660

  Li, Lifeng ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIFFRACTION GRATINGS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA;

BOUNDARY MATCHING CONDITIONS;

LIGHT PROPAGATION;

EID: 0043076039     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.20.000655     Document Type: Article

References (12)

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2. K. Fu, Z. Wang, D. Zhang, J. Wen, and J. Tang, "A vector analytical method of phase diffraction grating," Acta Opt. Sin. 17, 1652-1659 (1997) (in Chinese).
3. K. Fu, Z. Wang, D. Zhang, J. Zhang, and Q. Zhang, "A modal theory and recursion RTCM algorithm for gratings of deep grooves and arbitrary profile," Sei. China, Ser. A 42, 636-645 (1999).
4. K. Fu, Z. Wang, J. Zhang, and Q. Zhang, "Fast processing of Fourier modal method for perpendicularly crossed surface-relief binary-period gratings," Acta Opt. Sin. 21, 236-241 (2001) (in Chinese).
5. X. Tang, K. Fu, Z. Wang, and X. Liu, "Analysis of rigorous modal theory for arbitrary dielectric gratings made with anisotropic materials," Acta Opt. Sin. 22, 774-779 (2002) (in Chinese).
6. E. L. Tan, "Note on formulation of the enhanced scattering(transmittance-) matrix approach," J. Opt. Soc. Am. A 19, 1157-1161 (2002).
7. M. G. Moharam, D. A. Pommet, E. B. Grann, and T. K. Gaylord, "Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach," J. Opt. Soc. Am. A 12, 1077-1086 (1995).
8. 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).
9. L. Li, "New formulation of the Fourier modal method for crossed surface-relief gratings," J. Opt. Soc. Am. A 14, 2758-2767 (1997).
10. In this paper the Sop counts of matrix operations are based on information provided in G. H. Golub and C. F. Van Loan, Matrix Computations (John Hopkins University Press, Baltimore, Md., 1983, 1989, and 1996). To be consistent with Table 1 of Ref. 1, the meaning of a flop follows the original definition given by the authors in the first edition of their book. See the footnote on page 18 of the third edition.
11. L. Li, "A modal analysis of lamellar diffraction gratings in conical mountings," J. Mod. Opt. 40, 553-573 (1993).
12. L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. A 13, 1870-1876 (1996).