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

Definition of a parametric form of nonsingular Mueller matrices

Not Accessible

Your library or personal account may give you access

Abstract

The goal of this paper is to propose a mathematical framework to define and analyze a general parametric form of an arbitrary nonsingular Mueller matrix. Starting from previous results about nondepolarizing matrices, we generalize the method to any nonsingular Mueller matrix. We address this problem in a six-dimensional space in order to introduce a transformation group with the same number of degrees of freedom and explain why subsets of O(5,1), the orthogonal group associated with six-dimensional Minkowski space, is a physically admissible solution to this question. Generators of this group are used to define possible expressions of an arbitrary nonsingular Mueller matrix. Ultimately, the problem of decomposition of these matrices is addressed, and we point out that the “reverse” and “forward” decomposition concepts recently introduced may be inferred from the formalism we propose.

© 2008 Optical Society of America

Full Article  |  PDF Article
More Like This
Basic properties and classification of Mueller matrices derived from their statistical definition

Razvigor Ossikovski and José J. Gil
J. Opt. Soc. Am. A 34(9) 1727-1737 (2017)

Canonical forms of depolarizing Mueller matrices

Razvigor Ossikovski
J. Opt. Soc. Am. A 27(1) 123-130 (2010)

Interpretation of nondepolarizing Mueller matrices based on singular-value decomposition

Razvigor Ossikovski
J. Opt. Soc. Am. A 25(2) 473-482 (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

Equations (58)

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