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

Representation of birefringent filters by directly composed 4 × 4 matrices

Not Accessible

Your library or personal account may give you access

Abstract

The interaction of an obliquely incident plane wave with an arbitrary birefringent plane structure can be described exactly by a so-called 4 × 4 layer matrix. However, its formation is rather complex, and therefore a simplified method to set up this matrix is proposed. It is deduced from the boundary conditions for the tangential components of the E and the H fields at the interfaces of the birefringent layer and the phase shifts of the four waves within the layer between both interfaces. The refractive indices and the directions of polarization of the four waves are calculated from the well-known dispersion relation in the principal coordinate system and a coordinate transformation. Transmission curves of Lyot filters made of uniaxial and biaxial materials are calculated in the cases of plane waves of finite or infinite lateral extension that are incident under Brewster’s angle upon the filter positioned outside or within a laser resonator. The special examples given for a quartz filter and a YAlO3 filter are characterized by a high selectivity within a broad bandwidth if Fabry–Perot effects can be neglected. Transmission curves of a quartz filter were verified by measurements.

© 1995 Optical Society of America

Full Article  |  PDF Article
More Like This
Birefringent filter with arbitrary orientation of the optic axis: an analysis of improved accuracy

Jürgen Mentel, Eberhard Schmidt, and Thomas Mavrudis
Appl. Opt. 31(24) 5022-5029 (1992)

4 × 4 and 2 × 2 matrix formulations for the optics in stratified and biaxial media

C.-J. Chen, A. Lien, and M. I. Nathan
J. Opt. Soc. Am. A 14(11) 3125-3134 (1997)

Transfer matrix for treating stratified media including birefringent crystals

Thomas Essinger-Hileman
Appl. Opt. 52(2) 212-218 (2013)

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 (11)

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 (46)

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