Abstract

Necessary and sufficient conditions (termed the generalized Verdet–Stokes conditions) for light to be natural are derived. The general Verdet–Stokes conditions are requirements placed on all the moments and product moments of the two intensity projections in the Stokes–Verdet approach. The generalized Verdet–Stokes conditions are shown to be necessary and sufficient to guarantee that light be natural in that (1) all moments of the two projected intensities are independent of the rotation of the axes of the reference coordinate system, the phase retardation introduced into one of the components, and the time; (2) the product moments of the two projected intensities always decompose into products of their respective moments; (3) the probability-density functions of the projected intensities are negative exponential with the same variance. Additionally, the product moments of the Stokes parameters are obtained in order to study the behavior of the two intensity projections when the light is partially correlated. An equation governing the transfer of the covariance matrix of the Stokes parameters through a scattering medium is derived and studied. Finally a discussion of other versions of natural light in the context of the generalized Verdet–Stokes conditions is given.

© 1989 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Statistics of the Stokes parameters

Richard Barakat
J. Opt. Soc. Am. A 4(7) 1256-1263 (1987)

Covariant Generalization of the Stokes Parameters*†

Richard Bourret
J. Opt. Soc. Am. 49(10) 1002-1003 (1959)

Generalized Hanbury Brown-Twiss effect for Stokes parameters

David Kuebel and Taco D. Visser
J. Opt. Soc. Am. A 36(3) 362-367 (2019)

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 (133)

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