An analysis of the second moment of fluctuating electromagnetic fields part I: Theory

Jacobson, A. D.

doi:10.1109/tap.1967.1138868

Cited by 7 publications

(5 citation statements)

References 12 publications

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“…Already quite some time ago, Jacobson considered the vector analog of the theorem [7]. More recently, Gori et al studied the properties of the fields in the paraxial domain [8].…”

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confidence: 99%

Van Cittert–Zernike theorem with Stokes parameters

et al. 2013

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We formulate the van Cittert-Zernike theorem for spatially incoherent partially polarized sources in terms of the traditional polarization (one-point) Stokes parameters and the coherence (two-point) Stokes parameters. This leads to a physically insightful connection between the source polarization and the field coherence. We show that the far-zone coherence is given by a Fourier relation of the source-plane polarization and apply the results to investigate the far-zone properties of a field emitted by an incoherent source limited by an annular aperture.

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“…Already quite some time ago, Jacobson considered the vector analog of the theorem [7]. More recently, Gori et al studied the properties of the fields in the paraxial domain [8].…”

mentioning

confidence: 99%

Van Cittert–Zernike theorem with Stokes parameters

et al. 2013

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“…From equations (22) and (24) we infer that at field plane P 3 the normalized two-point Stokes parameters associated with the intensity pattern and with 45°linear polarization remain unchanged, whereas those associated with linear and circular polarizations become opposite in sign. These observations together imply that the spatial coherence properties of orthogonal polarization components at planes P 1 and P 3 would be swapped due to the effect of a polarization rotator placed in the phase conjugate plane.…”

Section: An Application: Swapping Of Spatial Coherencementioning

confidence: 97%

“…The generalization of the van Cittert-Zernike theorem has already been investigated for EM fields by several authors in the past [22][23][24][25]. Using one such extension, as discussed in [25], the modulation contrasts at a far zone for the generalized Stokes parameters have been shown to be fully determined by the respective usual Stokes parameters at the source plane, i.e.…”

Section: Introductionmentioning

confidence: 99%

Effects of phase conjugation on electromagnetic optical fields propagating in free space

Kanseri

2017

J. Opt.

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By using the property of phase conjugation, we demonstrate that the inverse of van Cittert–Zernike theorem holds for electromagnetic (EM) fields propagating in free space. This essentially implies that spatially incoherent partially polarized field distributions can be generated from spatially coherent partially polarized optical fields. We further utilize phase conjugation with a polarization rotator to swap the spatial coherence properties of orthogonal polarization components of EM fields on propagation, at least in free space. This study suggests that the method of phase conjugation could be potentially useful in arbitrarily manipulating spatial coherence properties of vector optical fields in the field plane.

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“…This is the van Cittert-Zernike theorem focusing on the propagation of coherence after an spatially incoherent partially polarized source. Several works have included polarization in the classic van Cittert-Zernike theorem [26][27][28][29][30][31]. However, these approaches focus on second-order field coherence instead of the four-field polarization correlations addressed here.…”

Section: Polarization Van Cittert-zernike Theoremmentioning

confidence: 99%

Spatial and temporal coherence via polarization mutual coherence function

Luis

2024

Phys. Scr.

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We address polarization coherence in terms of correlations of Stokes variables. We develop an scalar polarization mutual coherence function that allows us to define a polarization coherence time. We find a suitable spectral polarization density allowing a polarization version of the Wiener-Khintchine theorem. With these tools we also address the polarization version of the van Cittert-Zernike theorem.

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An analysis of the second moment of fluctuating electromagnetic fields part I: Theory

Cited by 7 publications

References 12 publications

Van Cittert–Zernike theorem with Stokes parameters

Van Cittert–Zernike theorem with Stokes parameters

Effects of phase conjugation on electromagnetic optical fields propagating in free space

Spatial and temporal coherence via polarization mutual coherence function

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