OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 29, Iss. 28 — Oct. 1, 1990
  • pp: 4268–4271

Application of the impedance formalism to diffraction gratings with multiple coating layers

Ananda K. Cousins and S. C. Gottschalk  »View Author Affiliations

Applied Optics, Vol. 29, Issue 28, pp. 4268-4271 (1990)

View Full Text Article

Enhanced HTML    Acrobat PDF (390 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The standard method of matching boundary conditions at the interfaces of a multilayer plane dielectric stack is shown to be numerically unstable for the evanescent orders when a large number of layers is present. For an isolated dielectric stack with an incident propagating beam there is no need to calculate the evanescent orders; however, when a diffraction grating is buried under the stack there is mixing of orders, and it may be important to calculate the evanescent as well as the propagating orders. It is shown that the impedance formalism removes the numerical instability completely. This method may be coupled to either boundary integral or differential equation methods for the grating to provide the complete solution for the grating–stack system.

© 1990 Optical Society of America

Original Manuscript: November 13, 1989
Published: October 1, 1990

Ananda K. Cousins and S. C. Gottschalk, "Application of the impedance formalism to diffraction gratings with multiple coating layers," Appl. Opt. 29, 4268-4271 (1990)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. Petit, Ed., Electromagnetic Theory of Gratings (Springer-Verlag, New York, 1980). [CrossRef]
  2. L. C. Botten, “A New Formalism for Transmission Gratings,” Opt. Acta 25, 481–499 (1978). [CrossRef]
  3. J. Chandezon, M. T. Dupuis, G. Cornet, D. Maystre, “Multicoated Gratings: a Differential Formalism Applicable in the Entire Optical Region,” J. Opt. Soc. Am. 72, 839–846 (1982). [CrossRef]
  4. D. Maystre, “A New Theory for Multiprofile, Buried Gratings,” Opt. Commun. 26, 127–137 (1978). [CrossRef]
  5. L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960).

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.


Fig. 1

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited