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

Derivation of a matrix describing a rugate dielectric thin film

Not Accessible

Your library or personal account may give you access

Abstract

In optical coating calculations, a 2 × 2 matrix formalism is generally used to describe the effect of each layer on the electromagnetic field. In current applications, the layers are considered homogeneous, and, therefore, the matrix used is restricted to this particular case. In this paper, a 2 × 2 matrix describing an inhomogeneous dielectric thin film is derived from Maxwell’s equations. The inhomogeneity is assumed to vary along the direction perpendicular to the film plane. No restriction is made on the amplitude of its variation. The matrix is illustrated in the case of a rugate filter designed according to Sossi’s Fourier transform technique. An improved approximation for the Fourier transform technique is then introduced.

© 1988 Optical Society of America

Full Article  |  PDF Article
More Like This
Rugate filter theory: an overview

Bertrand G. Bovard
Appl. Opt. 32(28) 5427-5442 (1993)

Admittance of rugate filters derived from a 2 × 2 inhomogeneous matrix

Francisco Villa, Roberto Machorro, Jesús Siqueiros, and L. Efraín Regalado
Appl. Opt. 33(13) 2672-2677 (1994)

Application of constrained optimization to the design of quasi-rugate optical coatings

Alexander V. Tikhonravov, Michael K. Trubetskov, and Tatiana V. Amotchkina
Appl. Opt. 47(28) 5103-5109 (2008)

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 (10)

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

Tables (3)

You do not have subscription access to this journal. Article tables 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 (68)

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved