OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 4 — Apr. 1, 1998
  • pp: 1006–1008

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

Lifeng Li  »View Author Affiliations


JOSA A, Vol. 15, Issue 4, pp. 1006-1008 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001006


View Full Text Article

Enhanced HTML    Acrobat PDF (157 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The assertion made by KaushikS. in a recent paper [J. Opt. Soc. Am. A 14, 596 (1997)] that the S-matrix propagation algorithm that he derived is new and represents an improvement over the earlier research is apparently incorrect. A review of the literature shows that every feature of the algorithm as presented in the above reference has been known for many years.

© 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


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. 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]
  2. 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]
  3. B. L. N. Kennett, “Reflections, rays, and reverberations,” Bull. Seis. Soc. Am. 64, 1685–1696 (1974).
  4. J. B. Pendry, “Photonics band structures,” J. Mod. Opt. 41, 209–229 (1994). [CrossRef]
  5. C. Altman, H. Cory, “The generalized thin-film optical method in electromagnetic wave propagation,” Radio Sci. 4, 457–470 (1969).
  6. 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.
  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). This paper, published after Ref. 1 was submitted, gives an account of the recursion subsets for the R- and S-matrix propagation algorithms. [CrossRef]
  8. 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]
  9. 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]
  10. 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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited