Abstract

With the use of the exact expression for the local propagation matrix that was obtained by Wöhler et al. [ J. Opt. Soc. Am. A 5, 1554 ( 1988)], we show explicitly that the Berreman 4 × 4 propagation matrix method for layered inhomogeneous anisotropic media reduces to the Abelés 2 × 2 propagation matrix method for layered inhomogeneous isotropic media when the anisotropic medium becomes isotropic. The optical properties of isotropic and anisotropic media have been extensively studied, and a number of schemes for the computation of the optical effects of layered inhomogeneous media have been proposed. Propagation matrix methods have been shown to be particularly useful for studying the reflection and the transmission of electromagnetic waves by layered inhomogeneous isotropic and anisotropic media.15 Generally, the Abelés 2 × 2 matrix method is used for layered inhomogeneous isotropic media,1,2,4,5 and the Berreman 4 × 4 matrix method is used for layered inhomogeneous anisotropic media.3 The 4 × 4 matrix method is more general than the 2 × 2 matrix method and is applicable to problems involving media of low optical symmetry.

© 1991 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Representation of birefringent filters by directly composed 4 × 4 matrices

Thomas Mavrudis, Jürgen Mentel, and Michael Schumann
Appl. Opt. 34(21) 4217-4227 (1995)

Explicit solutions for the optical properties of arbitrary magneto-optic materials in generalized ellipsometry

Mathias Schubert, Thomas E. Tiwald, and John A. Woollam
Appl. Opt. 38(1) 177-187 (1999)

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 OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA 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 OSA member, or as an authorized user of your institution.

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

Equations (26)

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

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

Metrics

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

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