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: 1009–1011

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

Sumanth Kaushik  »View Author Affiliations


JOSA A, Vol. 15, Issue 4, pp. 1009-1011 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001009


View Full Text Article

Enhanced HTML    Acrobat PDF (136 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In a recent paper [J. Opt. Soc. Am. A 14, 596 (1997)], S. Kaushik describes a modal theory of diffraction in which a number of features from scalar optics are generalized. The paper describes an S-matrix propagation algorithm that is characterized as being new and an improvement over earlier work. In a response to this paper, LiL. [J. Opt. Soc. Am. A. 15, 1006 (1998)] disputes this claim and claims that the algorithm is well known and presents no significant improvement over earlier work. These criticisms are addressed in this reply. Specifically, it is shown that unlike earlier work cited by Li, the method described by Kaushik is a genuine S-matrix method since energy balance is automatically guaranteed for dielectric gratings, irrespective of truncation order. Further, it is shown that the algorithm is easier to relate to scalar optics and is computationally more efficient than the specific algorithms cited by Li.

© 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: July 21, 1997
Revised Manuscript: November 20, 1997
Manuscript Accepted: October 26, 1997
Published: April 1, 1998

Citation
Sumanth Kaushik, "Vector Fresnel equations and Airy formula for one-dimensional multilayer and surface-relief gratings: reply to comment," J. Opt. Soc. Am. A 15, 1009-1011 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-4-1009


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, “Vector Fresnel equations and Airy formula for one-dimensional multilayer and surface-relief gratings: comment,” J. Opt. Soc. Am. A 15, 1006–1008 (1998). [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. L. Li, “Bremmer series, R-matrix propagation algorithm, and numerical modeling of diffraction grating,” J. Opt. Soc. Am. A 11, 2829–2836 (1994). [CrossRef]
  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). [CrossRef]
  8. L. C. Botten, M. S. Craig, “Highly conducting lamellar diffraction gratings,” Opt. Acta 28, 1103–1106 (1981). [CrossRef]
  9. 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]
  10. N. F. Mott, H. S. W. Massey, The Theory of Atomic Collisions (Oxford Science Publications, New York, 1933).
  11. A. Messiah, Quantum Mechanics: Vol. II (WileyNew York, 1958).
  12. J. Choma, Electrical Networks: Theory and Analysis (Wiley, New York, 1985).
  13. J. C. Light, R. B. Walker, “An R-matrix approach to the solution of coupled equations for atom-molecule reactive scattering,” J. Chem. Phys. 65, 4272–4282 (1976). [CrossRef]
  14. M. V. Klein, T. E. Furtak, Optics (Wiley, New York, 1986).
  15. S. T. Peng, T. Tamir, H. Bertoni, “Theory of periodic dielectric waveguides,” IEEE Trans. Microwave Theory Tech. MTT-23, 123–133 (1975). [CrossRef]
  16. T. Tamir, S. Zhang, “Modal transmission-line theory of multilayer grating structures,” J. Lightwave Technol. 14, 914–927 (1996). [CrossRef]
  17. 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]

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

OSA is a member of CrossRef.

CrossCheck Deposited