Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation

Wolf, Emil

doi:10.1364/ol.28.001078

Cited by 184 publications

(60 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…These parameters may be written in terms of the correlations between electric field components at a pair of points, which equip them to characterize simultaneously the coherence and the polarization properties of the electromagnetic fields. These complex quantities conform to the unified theory of coherence and polarization [6,7], providing an excellent way for polarization modulation studies [8][9][10]. Not long ago it was shown theoretically that the usual Stokes parameters at an observation plane not only are the sum of corresponding Stokes parameters produced by two pinholes separately, but also are modulated by the generalized Stokes parameters on the pinholes.…”

mentioning

confidence: 79%

Direct determination of the generalized Stokes parameters from the usual Stokes parameters

2009

View full text Add to dashboard Cite

We report an experimental method to determine the generalized Stokes parameters for a pair of points in the cross section of an electromagnetic beam, e.g., an expanded laser beam, with the help of a Young's interferometer and a set of polarizers and quarter-wave plates. The method is investigated theoretically using the electromagnetic spectral interference law. The generalized Stokes parameters, owing to their two-point nature, determine the behavior of the single-point polarization properties of the electromagnetic beam at a field point. The present method offers a unique means to determine the two-point parameters (correlation functions) by measuring the usual Stokes parameters (intensities) and the contrast parameters (visibilities) of the beam. The method might be applicable to determine the polarization dependent changes in various optical measurements.

show abstract

mentioning

confidence: 79%

Direct determination of the generalized Stokes parameters from the usual Stokes parameters

2009

View full text Add to dashboard Cite

show abstract

“…Therefore, a concept named polarization speckle has been introduced 6,7 to distinguish it from the conventional scalar laser speckle field with a uniform polarization. At the same time, the vectorial electromagnetic field description in terms of a 2 2 × beam coherence-polarization matrix 8,9 has shown to be a valuable tool in order to investigate the evolution of polarization and coherence states during propagation together with their spatial distribution [10][11][12][13][14][15] , especially after the setup of the unified theory of coherence and polarization 16,17 .…”

Section: Introductionmentioning

confidence: 99%

3D polarisation speckle as a demonstration of tensor version of the van Cittert-Zernike theorem for stochastic electromagnetic beams

Ma¹,

Zhao²,

Hanson³

et al. 2016

SPIE Proceedings

View full text Add to dashboard Cite

Laser speckle has received extensive studies of its basic properties and associated applications. In the majority of research on speckle phenomena, the random optical field has been treated as a scalar optical field, and the main interest has been concentrated on their statistical properties and applications of its intensity distribution. Recently, statistical properties of random electric vector fields referred to as Polarization Speckle have come to attract new interest because of their importance in a variety of areas with practical applications such as biomedical optics and optical metrology. Statistical phenomena of random electric vector fields have close relevance to the theories of speckles, polarization and coherence theory.In this paper, we investigate the correlation tensor for stochastic electromagnetic fields modulated by a depolarizer consisting of a rough-surfaced retardation plate. Under the assumption that the microstructure of the scattering surface on the depolarizer is as fine as to be unresolvable in our observation region, we have derived a relationship between the polarization matrix/coherency matrix for the modulated electric fields behind the rough-surfaced retardation plate and the coherence matrix under the free space geometry. This relation is regarded as entirely analogous to the van Cittert-Zernike theorem of classical coherence theory. Within the paraxial approximation as represented by the ABCD-matrix formalism, the three-dimensional structure of the generated polarization speckle is investigated based on the correlation tensor, indicating a typical carrot structure with a much longer axial dimension than the extent in its transverse dimension.

show abstract

“…However, for many years coherence and polarization have been considered as two independent branches of optics. The connection between them became evident with the introduction of a unified theory of coherence and polarization for stochastic electromagnetic beams (Wolf, 2003a;.…”

Section: Introductionmentioning

confidence: 99%

Quantum Theory of Coherence and Polarization of Light

Lahiri¹

2012

Advances in Quantum Theory

View full text Add to dashboard Cite

Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation

Cited by 184 publications

References 2 publications

Direct determination of the generalized Stokes parameters from the usual Stokes parameters

Direct determination of the generalized Stokes parameters from the usual Stokes parameters

3D polarisation speckle as a demonstration of tensor version of the van Cittert-Zernike theorem for stochastic electromagnetic beams

Quantum Theory of Coherence and Polarization of Light

Contact Info

Product

Resources

About