Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

General expression for the reflectance of an all-dielectric multilayer stack

Not Accessible

Your library or personal account may give you access

Abstract

A converted characteristic matrix method has been used to derive a generalized expression for reflectance R (for wavelength λ at normal incidence) of an all-dielectric multilayer stack consisting of K layers of refractive indices n1,n2,n3nk−1,nk having quarterwave thicknesses at the monitoring wavelength λ0. The expression thus derived is of the form R=N=0K(PNtan2Nϕ)/(QNtan2Nϕ), where PN and QN are functions of refractive indices and their interdependence is expressed by the relation (QNPN)/(4ns) = (K!)/[N!(KN)!]. This expression shows that R is a function of (i) the refractive indices of the various layers in the multilayer structure and (ii) the parameter ϕ = {(π/2)[(λ − λ0)/λ]} which assumes positive or negative values depending on whether λ > λ0 or λ < λ0 such that within limits of acceptable variations (Δ λ) in λ0, R remains unaffected at ±ϕ. An outcome of this analysis is that it can be used in identifying, to a limited extent, the structure of an unknown optical coating once the experimentally observed parameters R and T are known.

© 1988 Optical Society of America

Full Article  |  PDF Article
More Like This
Optical admittance of an all-dielectric unsymmetrical multilayer near the monitoring wavelength

B. S. Verma, R. Bhattacharyya, and V. V. Shah
Appl. Opt. 25(2) 315-319 (1986)

Design of an achromatic beam splitter comprising a dielectric multilayer stack

Bhullan S. Verma, Amitabha Basu, Raghunath Bhattacharyya, and Vilaschandra V. Shah
Appl. Opt. 29(10) 1530-1535 (1990)

Multilayer Dielectric Stacks of Coupled Filters

W. W. Rigrod
Appl. Opt. 10(7) 1524-1531 (1971)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (71)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved