Experimental synthesis of partially coherent sources

Wang, Rui; Zhu, Shiqun; Chen, Yikai; Huang, Hongkun; Li, Zhenhua; Cai, Yangjian

doi:10.1364/ol.388307

Cited by 24 publications

(12 citation statements)

References 33 publications

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“…where K are non-orthogonal modes or "pseudo-modes" [28]. Here r j = (x j , y j ) and v = (v x , v y ) are twodimensional vectors in the transverse plane.…”

Section: Theorymentioning

confidence: 99%

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Evaluation of Twisted Gaussian Schell Model beams produced with phase randomized coherent fields

Cañas,

Gómes,

Santos

et al. 2022

Preprint

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The twisted Gaussian Schell Model describes a family of partially coherent beams that present several interesting characteristics, and as such have attracted attention in classical and quantum optics. Recent techniques have been demonstrated to synthesize these beams from a coherent source using a discrete set of "pseudo-modes", where the phase of each mode is randomized so that they are mutually incoherent. Here we investigate this technique and evaluate the resulting beam parameters, such as divergence, coherence length and twist phase. We show that for a finite set of modes there is also some residual coherence, which can have an observable effect. A theoretical model is developed for the output field that includes residual coherence and agrees very well with experimental data. In addition, we demonstrate a simple method to measure the twist phase using double slit interference.

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“…where K are non-orthogonal modes or "pseudo-modes" [28]. Here r j = (x j , y j ) and v = (v x , v y ) are twodimensional vectors in the transverse plane.…”

Section: Theorymentioning

confidence: 99%

“…To determine the number of modes N required for an accurate representation of the partially coherent field given in (1), Refs. [23,28] have used the degree of coherence (DOC), given by…”

Section: Theorymentioning

confidence: 99%

Evaluation of Twisted Gaussian Schell Model beams produced with phase randomized coherent fields

Cañas,

Gómes,

Santos

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The form of p ultimately determines the correlation function of the source. Using pseudo-modes, both Schell-model and NUC beams have been produced [48][49][50][51][52][53]. In all cases, the pseudo-mode is generated using a laser and some form of the spatial light modulator.…”

Section: Generating St Nuc Beam Realizationsmentioning

confidence: 99%

Spatiotemporal non-uniformly correlated beams

Hyde

2021

Appl. Phys. B

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We present a new partially coherent source with spatiotemporal coupling. The stochastic light, which we call a spatiotemporal (ST) non-uniformly correlated (NUC) beam, combines space and time in an inhomogeneous (shift- or space-variant) correlation function. This results in a source that self-focuses at a controllable location in space-time, making these beams potentially useful in applications such as optical trapping, optical tweezing, and particle manipulation. We begin by developing the mutual coherence function for an ST NUC beam. We then examine its free-space propagation characteristics by deriving an expression for the mean intensity at any plane $$z \ge 0$$ z ≥ 0 . To validate the theoretical work, we perform Monte Carlo simulations, in which we generate statistically independent ST NUC beam realizations and compare the sample statistical moments to the corresponding theory. We observe excellent agreement amongst the results.

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“…It does not, however, stipulate the fourth-order field moment, more specifically, the second-order moment of irradiance or covariance of irradiance. With the exception of propagation through turbulent media, where the primary goal has been to quantify how partial coherence reduces the variance of irradiance (captured in a moment called the scintillation index) [4,[10][11][12], the covariance of irradiance has been a secondary concern to designers of random sources [6,7,[13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Independently Controlling Stochastic Field Realization Magnitude and Phase Statistics for the Construction of Novel Partially Coherent Sources

Hyde

2021

Photonics

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In this paper, we present a method to independently control the field and irradiance statistics of a partially coherent beam. Prior techniques focus on generating optical field realizations whose ensemble-averaged autocorrelation matches a specified second-order field moment known as the cross-spectral density (CSD) function. Since optical field realizations are assumed to obey Gaussian statistics, these methods do not consider the irradiance moments, as they, by the Gaussian moment theorem, are completely determined by the field’s first and second moments. Our work, by including control over the irradiance statistics (in addition to the CSD function), expands existing synthesis approaches and allows for the design, modeling, and simulation of new partially coherent beams, whose underlying field realizations are not Gaussian distributed. We start with our model for a random optical field realization and then derive expressions relating the ensemble moments of our fields to those of the desired partially coherent beam. We describe in detail how to generate random optical field realizations with the proper statistics. We lastly generate two example partially coherent beams using our method and compare the simulated field and irradiance moments theory to validate our technique.

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Experimental synthesis of partially coherent sources

Cited by 24 publications

References 33 publications

Evaluation of Twisted Gaussian Schell Model beams produced with phase randomized coherent fields

Evaluation of Twisted Gaussian Schell Model beams produced with phase randomized coherent fields

Spatiotemporal non-uniformly correlated beams

Independently Controlling Stochastic Field Realization Magnitude and Phase Statistics for the Construction of Novel Partially Coherent Sources

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