Synthesis of non-uniformly correlated partially coherent sources using a deformable mirror

Hyde, Milo W.; Bose‐Pillai, Santasri R.; Wood, R.

doi:10.1063/1.4994669

Cited by 39 publications

(12 citation statements)

References 28 publications

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“…In both cases, the physical meaning of the above expansion is that a partially coherent source can be thought of as the superposition of a set of mutually uncorrelated, perfectly coherent, and suitably weighted fields. Of course, this also represents a way to physically synthesize partially coherent source [19,22,23,26,40,63], especially when they are not of the Schell-model type [6,44,45]. The superposition usually involves an infinite number of coherent fields but for practical applications a finite number is often enough for a good representation of the CSD function [27,44].…”

Section: Synthesismentioning

confidence: 99%

“…Among them, Gaussian Schell-model (GSM) sources, where both the spectral degree of coherence and the irradiance profile are Gaussianly shaped [1,24], have been extensively studied and characterized [25][26][27][28][29][30][31][32]. Since the publication of the superposition rule [33,34], that have eased the design of physically realizable CSD's, different kind of sources, of the Schell-model type [20,21,35,36] or not [6,[37][38][39][40][41][42][43][44][45] have been proposed.…”

Section: Introductionmentioning

confidence: 99%

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Pseudo-Schell model sources

Sande¹,

Martı́nez-Herrero²,

Piquero³

et al. 2019

Opt. Express

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Partially coherent pseudo-Schell model sources are introduced and analyzed. They present radial symmetry and coherence characteristics depending on the difference between the radial distances of two points from the source center. As a consequence, all points belonging to circles centered on the symmetry center of the source are perfectly correlated. We show that such sources radiate fields with peculiar behaviors in paraxial propagation. In particular, when compared to beams produced by Gaussian Schell-model sources with comparable coherence parameters, the irradiance can present sharper profiles and higher peak values and a better beam quality parameter. Furthermore, when a pseudo-Schell model source presents a vortex, the propagated beam preserves a null of the intensity along its axis.

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Section: Synthesismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pseudo-Schell model sources

Sande¹,

Martı́nez-Herrero²,

Piquero³

et al. 2019

Opt. Express

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“…These SLM characteristics and their effects on beam control have been discussed before (please see Refs. [26,45,58,59,61] for more information). The MATLAB R version R2018b scripts (.m files) are included as Supplementary Materials to this paper.…”

Section: Resultsmentioning

confidence: 99%

“…The second method starts with a coherent, polarized source, and then transforms the vector components of that source into realizations drawn from the ensemble of all optical fields consistent with the desired electromagnetic PCS [5,14,26,37,[44][45][46][47][48][49][50]. The transformation from coherent, polarized source to stochastic field realization is accomplished using spatial light modulators (SLMs).…”

Section: Introductionmentioning

confidence: 99%

Synthesizing General Electromagnetic Partially Coherent Sources from Random, Correlated Complex Screens

Hyde

2020

Optics

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We present a method to generate any genuine electromagnetic partially coherent source (PCS) from correlated, stochastic complex screens. The method described here can be directly implemented on existing spatial-light-modulator-based vector beam generators and can be used in any application which utilizes electromagnetic PCSs. Our method is based on the genuine cross-spectral density matrix criterion. Applying that criterion, we show that stochastic vector field realizations (corresponding to a desired electromagnetic PCS) can be generated by passing correlated Gaussian random numbers through “filters” with space-variant transfer functions. We include step-by-step instructions on how to generate the electromagnetic PCS field realizations. As an example, we simulate the synthesis of a new electromagnetic PCS. Using Monte Carlo analysis, we compute statistical moments from independent optical field realizations and compare those to the corresponding theory. We find that our method produces the desired source—the correct shape, polarization, and coherence properties—within 600 field realizations.

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“…In addition, several methods have been proposed to experimentally generate the prescribed DOC of a PCB, for example by using a spatial light modulator, intra-cavity modulation and a deformable mirror, etc. [24][25][26][27]. However, the aforementioned studies are confined to PCBs whose initial intensity distributions have a Gaussian function.…”

Section: Introductionmentioning

confidence: 99%

Numerical Approach for Studying the Evolution of the Degrees of Coherence of Partially Coherent Beams Propagation through an ABCD Optical System

Kacerovská

Khosravi

et al. 2019

Applied Sciences

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In this paper, we propose a numerical approach to simulate the degree of coherence (DOC) of a partially coherent beam (PCB) with a Schell-model correlator in any transverse plane during propagation. The approach is applicable for PCBs whose initial intensity distribution and DOC distribution are non-Gaussian functions, even for beams for which it is impossible to obtain an analytical expression for the cross-spectral density (CSD) function. Based on our approach, numerical examples for the distribution of the DOC of two types of PCBs are presented. One type is the partially coherent Hermite–Gaussian beam. The simulation results of the DOC agree well with those calculated from the analytical formula. The other type of PCB is the one for which it is impossible to obtain an analytical expression of CSD. The evolution of the DOC with the propagation distance and in the far field is studied in detail. Our numerical approach may find potential applications in optical encryption and information transfer.

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Synthesis of non-uniformly correlated partially coherent sources using a deformable mirror

Cited by 39 publications

References 28 publications

Pseudo-Schell model sources

Pseudo-Schell model sources

Synthesizing General Electromagnetic Partially Coherent Sources from Random, Correlated Complex Screens

Numerical Approach for Studying the Evolution of the Degrees of Coherence of Partially Coherent Beams Propagation through an ABCD Optical System

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