Abstract

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

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [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]

2000

1989

C. Monga, “Anti-reflection coatings for grazing incidence angles,” J. Mod. Opt. 36, 381–387 (1989).
[CrossRef]

1987

1978

M. C. Ohmer, “Design of three-layer equivalent films,” JOSA 68, 137–139 (1978).
[CrossRef]

H. A. Macleod, “A new approach to the design of metal-dielectric thin-film optical coatings,” Opt. Acta 25, 93–106 (1978).
[CrossRef]

1972

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]

1964

1963

A. Thelen, “Multilayer filters with wide transmittance bands,” JOSA 53, 1266–1270 (1963).
[CrossRef]

1960

K. D. Mielenz, “Simple calculus for all-dielectric interference filters of the Fabry-Perot type,” JOSA 50, 1014–1016 (1960).
[CrossRef]

1957

P. H. Berning, A. F. Turner, “Induced transmission in absorbing films applied to band pass filter design,” JOSA 47, 230–239 (1957).
[CrossRef]

1954

C. Dufour, A. Herpin, “Application des methodes matricielles au calcu d’ensembles complexes de couches minces alternees,” Opt. Acta 1, 1–8 (1954).
[CrossRef]

1952

L. I. Epstein, “The design of optical filters,” JOSA 42, 806–810 (1952).
[CrossRef]

1947

A. Herpin, “Calcu du pouvoir refecteur d’un systeme stratifie quelconque,” Comptes Rendus Academies des Science 225, 182–183 (1947).

M. Banning, “Practical methods of making and using multilayer filters,” JOSA 37, 792–797 (1947).
[CrossRef]

Banning, M.

M. Banning, “Practical methods of making and using multilayer filters,” JOSA 37, 792–797 (1947).
[CrossRef]

Berning, P. H.

P. H. Berning, A. F. Turner, “Induced transmission in absorbing films applied to band pass filter design,” JOSA 47, 230–239 (1957).
[CrossRef]

Dobrowolski, J. A.

Dufour, C.

C. Dufour, A. Herpin, “Application des methodes matricielles au calcu d’ensembles complexes de couches minces alternees,” Opt. Acta 1, 1–8 (1954).
[CrossRef]

Epstein, L. I.

L. I. Epstein, “The design of optical filters,” JOSA 42, 806–810 (1952).
[CrossRef]

Herpin, A.

C. Dufour, A. Herpin, “Application des methodes matricielles au calcu d’ensembles complexes de couches minces alternees,” Opt. Acta 1, 1–8 (1954).
[CrossRef]

A. Herpin, “Calcu du pouvoir refecteur d’un systeme stratifie quelconque,” Comptes Rendus Academies des Science 225, 182–183 (1947).

Landau, B. V.

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]

Li, L.

Lissberger, P. H.

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]

Lotz, H. G.

Macleod, H. A.

H. A. Macleod, “A new approach to the design of metal-dielectric thin-film optical coatings,” Opt. Acta 25, 93–106 (1978).
[CrossRef]

Mielenz, K. D.

K. D. Mielenz, “Simple calculus for all-dielectric interference filters of the Fabry-Perot type,” JOSA 50, 1014–1016 (1960).
[CrossRef]

Monga, C.

C. Monga, “Anti-reflection coatings for grazing incidence angles,” J. Mod. Opt. 36, 381–387 (1989).
[CrossRef]

Ohmer, M. C.

M. C. Ohmer, “Design of three-layer equivalent films,” JOSA 68, 137–139 (1978).
[CrossRef]

Park, K. C.

Thelen, A.

A. Thelen, “Multilayer filters with wide transmittance bands,” JOSA 53, 1266–1270 (1963).
[CrossRef]

Turner, A. F.

P. H. Berning, A. F. Turner, “Induced transmission in absorbing films applied to band pass filter design,” JOSA 47, 230–239 (1957).
[CrossRef]

Appl. Opt.

Comptes Rendus Academies des Science

A. Herpin, “Calcu du pouvoir refecteur d’un systeme stratifie quelconque,” Comptes Rendus Academies des Science 225, 182–183 (1947).

J. Mod. Opt.

C. Monga, “Anti-reflection coatings for grazing incidence angles,” J. Mod. Opt. 36, 381–387 (1989).
[CrossRef]

JOSA

P. H. Berning, A. F. Turner, “Induced transmission in absorbing films applied to band pass filter design,” JOSA 47, 230–239 (1957).
[CrossRef]

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]

M. C. Ohmer, “Design of three-layer equivalent films,” JOSA 68, 137–139 (1978).
[CrossRef]

K. D. Mielenz, “Simple calculus for all-dielectric interference filters of the Fabry-Perot type,” JOSA 50, 1014–1016 (1960).
[CrossRef]

M. Banning, “Practical methods of making and using multilayer filters,” JOSA 37, 792–797 (1947).
[CrossRef]

L. I. Epstein, “The design of optical filters,” JOSA 42, 806–810 (1952).
[CrossRef]

A. Thelen, “Multilayer filters with wide transmittance bands,” JOSA 53, 1266–1270 (1963).
[CrossRef]

Opt. Acta

C. Dufour, A. Herpin, “Application des methodes matricielles au calcu d’ensembles complexes de couches minces alternees,” Opt. Acta 1, 1–8 (1954).
[CrossRef]

H. A. Macleod, “A new approach to the design of metal-dielectric thin-film optical coatings,” Opt. Acta 25, 93–106 (1978).
[CrossRef]

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