OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 41, Iss. 28 — Oct. 1, 2002
  • pp: 5984–5988

Simple computations involving two-component symmetric trilayers

Basil Swaby  »View Author Affiliations

Applied Optics, Vol. 41, Issue 28, pp. 5984-5988 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (112 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The equivalent properties of a symmetric three-layer structure are derived by a nontraditional method that provides useful insights and a simplified application to some thin-film design problems. The equations derived from this method may be used to design a three-layer replacement for a single layer in an interference coating. The equations are especially helpful for cases that involve complex numbers, such as metal layers or above-critical angle propagation in dielectric layers. Several multilayer design problems are solved to demonstrate the application of this approach.

© 2002 Optical Society of America

OCIS Codes
(230.4170) Optical devices : Multilayers
(310.0310) Thin films : Thin films
(310.6860) Thin films : Thin films, optical properties

Original Manuscript: March 4, 2002
Revised Manuscript: June 10, 2002
Published: October 1, 2002

Basil Swaby, "Simple computations involving two-component symmetric trilayers," Appl. Opt. 41, 5984-5988 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. I. Epstein, “The design of optical filters,” JOSA 42, 806–810 (1952). [CrossRef]
  2. A. Herpin, “Calcu du pouvoir refecteur d’un systeme stratifie quelconque,” Comptes Rendus Academies des Science 225, 182–183 (1947).
  3. K. C. Park, “The extreme values of reflectivity and the conditions for zero reflection from thin film dielectirc films on metal,” Appl. Opt. 3, 877–881 (1964). [CrossRef]
  4. M. C. Ohmer, “Design of three-layer equivalent films,” JOSA 68, 137–139 (1978). [CrossRef]
  5. K. D. Mielenz, “Simple calculus for all-dielectric interference filters of the Fabry-Perot type,” JOSA 50, 1014–1016 (1960). [CrossRef]
  6. C. Dufour, A. Herpin, “Application des methodes matricielles au calcu d’ensembles complexes de couches minces alternees,” Opt. Acta 1, 1–8 (1954). [CrossRef]
  7. A. Thelen, “Multilayer filters with wide transmittance bands,” JOSA 53, 1266–1270 (1963). [CrossRef]
  8. H. G. Lotz, “Computer-aided multilayer design of optical filters with wide transmittance bands using SiO2 and TiO2,” Appl. Opt. 26, 4487–4490 (1987). [CrossRef] [PubMed]
  9. C. Monga, “Anti-reflection coatings for grazing incidence angles,” J. Mod. Opt. 36, 381–387 (1989). [CrossRef]
  10. P. H. Berning, A. F. Turner, “Induced transmission in absorbing films applied to band pass filter design,” JOSA 47, 230–239 (1957). [CrossRef]
  11. B. V. Landau, P. H. Lissberger, “Theory of induced transmittance filters in terms of the concept of equivalent layers,” JOSA 62, 1258–1264 (1972). [CrossRef]
  12. H. A. Macleod, “A new approach to the design of metal-dielectric thin-film optical coatings,” Opt. Acta 25, 93–106 (1978). [CrossRef]
  13. M. Banning, “Practical methods of making and using multilayer filters,” JOSA 37, 792–797 (1947). [CrossRef]
  14. L. Li, J. A. Dobrowolski, “High-performance thin-film polarizing beam splitter operating at angles greater than the critical angle,” Appl. Opt. 39, 2754–2771 (2000). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited