Vectorial van Cittert–Zernike theorem based on spatial averaging: experimental demonstrations

Singh, Rakesh Kumar; Naik, Dinesh N.; Itou, Hitoshi; Brundabanam, Maruthi M.; Miyamoto, Yoko; Takeda, Mitsuo

doi:10.1364/ol.38.004809

Cited by 38 publications

(33 citation statements)

References 10 publications

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“…It is evident that the mutual coherence of the resulting field is determined by the auto-coherence of the incoherent source field. This is consistent with some cases discussed before, like the free space systems 29,18 and the Fourier system 23 , when we substitute the relevant ABCD parameters and polarization matrix t J for given systems into Eq. (14).…”

Section: Changes In the Degree Of Polarization And The Degree Of Cohesupporting

confidence: 89%

“…The matrix form, tensor version extension of the conventional Van Cittert-Zernike theorem is first described by Gori 8,20 in the temporal domain, and then similar work in the spectral domain by Ostrovsky 19 . Further research work about the variation of the degree of coherence and degree of polarization within this field was developed both theoretically 18,21,22 and experimentally 23 soon after.…”

Section: Introductionmentioning

confidence: 99%

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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

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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.

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Section: Changes In the Degree Of Polarization And The Degree Of Cohesupporting

confidence: 89%

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

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“…Equation (28) is the spatial-average version of the van Cittert-Zernike theorem for vector fields, 29) and serves as the basis of vectorial coherence holography for synthesizing a vectorial field with a desired coherence-polarization matrix. Two computer-generated Fourier holograms H x ðrÞ and H y ðrÞ, of which one records a numeral ''0'' and the other records a numeral ''1'' as an off-axis object, are created.…”

Section: Polarization Speckles and Spatial Degree Of Polarizationmentioning

confidence: 99%

Spatial statistical optics and spatial correlation holography: A review

Takeda

Wang

Naik

et al. 2014

OPT REV

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Classical statistical optics is revisited with the aim of introducing the concept of spatial statistical optics that places particular focus and special emphasis on spatial statistics of the optical field, rather than on their temporal statistics. The principles of emerging technology of statistical correlation holography based on spatial statistical optics are reviewed, and their unique capabilities for coherence and polarization shaping as well as synthesizing stochastic optical fields with desired statistical properties are introduced. #

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“…This method provides the amplitude information of the GSPs, but the phase information is lost. Note that the phase of a GSP is highly significant in imaging applications [15,19]. In this Letter, we propose a new experimental technique to measure the complex GSPs by intensity correlation.…”

mentioning

confidence: 99%

“…On considering r 2 r 1 Δr, and under the assumption of stationarity and ergodicity in space (rather than in time), we take the space average over the observation plane for the measurement of the two-point intensity correlation [19,22]. The experimental implementation of the proposed measurement technique is shown in Fig.…”

mentioning

confidence: 99%

Experimental determination of generalized Stokes parameters

Vinu

Singh

2015

Opt. Lett.

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A new technique to determine generalized Stokes parameters by making use of the speckle holographic technique and the two-point intensity correlation is proposed and experimentally demonstrated. Assuming Gaussian statistics and spatial stationarity, a speckle hologram is generated prior to the fourth-order correlation, i.e., the two-point intensity correlation. This measurement technique offers a complete retrieval of complex generalized Stokes parameters. The application of the proposed technique is experimentally demonstrated for two different, random source structures.

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Vectorial van Cittert–Zernike theorem based on spatial averaging: experimental demonstrations

Cited by 38 publications

References 10 publications

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

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

Spatial statistical optics and spatial correlation holography: A review

Experimental determination of generalized Stokes parameters

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