Abstract

It is shown that, for a 3×3 correlation matrix Wijr,r,ω,i,j=x,y,z of the electric vector of a random, stationary electromagnetic field to represent a field that is completely polarized at a point r and frequency ω, each element of the matrix must factorize. More precisely, a necessary and sufficient condition for the correlation matrix to represent a fully polarized field at a point r is that the matrix has the form Wijr,r,ω=Ei*r,ωEjr,ω, where Eir,ω i=x,y,z are deterministic functions, i.e., that all pairs of the Cartesian components of the electric field at a point r and frequency ω are completely correlated.

© 2004 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Spatial correlations and degree of polarization in homogeneous electromagnetic fields

Tero Setälä, Matti Kaivola, and Ari T. Friberg
Opt. Lett. 28(13) 1069-1071 (2003)

Beam conditions for radiation generated by an electromagnetic Gaussian Schell-model source

Olga Korotkova, Mohamed Salem, and Emil Wolf
Opt. Lett. 29(11) 1173-1175 (2004)

Generation of complete coherence in Young’s interference experiment with random mutually uncorrelated electromagnetic beams

G. S. Agarwal, A. Dogariu, T. D. Visser, and E. Wolf
Opt. Lett. 30(2) 120-122 (2005)

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 (19)

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