## Vector Fresnel equations and Airy formula for one-dimensional multilayer and surface-relief gratings: comment

JOSA A, Vol. 15, Issue 4, pp. 1006-1008 (1998)

http://dx.doi.org/10.1364/JOSAA.15.001006

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### Abstract

The assertion made by KaushikS. in a recent paper [J. Opt. Soc. Am. A 14, 596 (1997)] that the

© 1998 Optical Society of America

**OCIS Codes**

(050.0050) Diffraction and gratings : Diffraction and gratings

(050.2770) Diffraction and gratings : Gratings

(230.4170) Optical devices : Multilayers

**History**

Original Manuscript: April 28, 1997

Revised Manuscript: August 11, 1997

Manuscript Accepted: August 18, 1997

Published: April 1, 1998

**Citation**

Lifeng Li, "Vector Fresnel equations and Airy formula for one-dimensional multilayer and surface-relief gratings: comment," J. Opt. Soc. Am. A **15**, 1006-1008 (1998)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-4-1006

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### References

- S. Kaushik, “Vector Fresnel equations and Airy formula for one-dimensional multilayer and surface-relief gratings,” J. Opt. Soc. Am. A 14, 596–609 (1997). [CrossRef]
- L. Li, “Bremmer series, R-matrix propagation algorithm, and numerical modeling of diffraction gratings,” J. Opt. Soc. Am. A 11, 2829–2836 (1994). The S-matrix algorithm in this paper was mistakenly referred to as the R-matrix algorithm. I have acknowledged and corrected this error in Ref. 7 below. [CrossRef]
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- C. Altman, H. Cory, “The generalized thin-film optical method in electromagnetic wave propagation,” Radio Sci. 4, 457–470 (1969).
- R. Redheffer, “Difference equations and functional equations in transmission-line theory,” in Modern Mathematics for the Engineer, 2nd ser., E. F. Beckenbach, ed. (McGraw-Hill, New York, 1961), Chap. 12, pp. 282–337.
- L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024–1035 (1996). This paper, published after Ref. 1 was submitted, gives an account of the recursion subsets for the R- and S-matrix propagation algorithms. [CrossRef]
- E. B. Stechel, R. B. Walker, J. C. Light, “R-matrix solution of coupled equations for inelastic scattering,” J. Chem. Phys. 69, 3518–3531 (1978). [CrossRef]
- D. M. Pai, K. A. Awada, “Analysis of dielectric gratings of arbitrary profiles and thicknesses,” J. Opt. Soc. Am. A 8, 755–762 (1991). [CrossRef]
- R. Petit, J. Y. Suratteau, M. Cadilhac, “On the numerical study of deep lamellar gratings in the resonance domain,” in Application, Theory, and Fabrication of Periodic Structures, Diffraction Gratings, and Moire Phenomena II, J. M. Lerner, ed., Proc. SPIE503, 160–167 (1984). [CrossRef]

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