Flatness parameter influence on scintillation reduction for multi-Gaussian Schell-model beams propagating in turbulent air

Avramov-Zamurovic, Svetlana; Nelson, Charles; Guth, S.; Korotkova, Olga

doi:10.1364/ao.55.003442

Cited by 25 publications

(9 citation statements)

References 34 publications

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“…Modeling with a random source may be motivated by the complexity of the source as when one considers emission from a star. A second motivation for understanding and analyzing beam wave propagation from a random source is that such sources have been promoted as being desirable for scintillation reduction when beaming through a complex medium, see [2,3,24,29,35,36] and references therein. Scintillation here refers to the situation that the transmitted beam intensity fluctuates rapidly due to scattering over the propagation path.…”

Section: Introductionmentioning

confidence: 99%

Partially Coherent Electromagnetic Beam Propagation in Random Media

Garnier¹,

Sølna²

2022

Preprint

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A theory for the characterization of the fourth moment of electromagnetic wave beams is presented in the case when the source is partially coherent. A Gaussian-Schell model is used for the partially coherent random source. The white-noise paraxial regime is considered, which holds when the wavelength is much smaller than the correlation radius of the source, the beam radius of the source, and the correlation length of the medium, which are themselves much smaller than the propagation distance. The complex wave amplitude field can then be described by the Itô-Schrödinger equation. This equation gives closed evolution equations for the wave field moments at all orders and here the fourth order equations are considered. The general fourth moment equations are solved explicitly in the scintillation regime (when the correlation radius of the source is of the same order as the correlation radius of the medium, but the beam radius is much larger) and the result gives a characterization of the intensity covariance function. The form of the intensity covariance function derives from the solution of the transport equation for the Wigner distribution associated with the second wave moment. The fourth moment results for polarized waves is used in an application to imaging of partially coherent sources.

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Section: Introductionmentioning

confidence: 99%

Partially Coherent Electromagnetic Beam Propagation in Random Media

Garnier¹,

Sølna²

2022

Preprint

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“…In this paper we consider the scintillation problem when the source is partially coherent in time and space and the medium has time and space random fluctuations. Partially coherent sources have indeed been promoted for reducing scintillation at a receiving end in the context of laser propagation [29,2,35,26]. Most of these studies rely on physical experiments or numerics and Monte Carlo simulations to evaluate the scintillation index.…”

Section: Introductionmentioning

confidence: 99%

Scintillation of Partially Coherent Light in Time Varying Complex Media

Garnier,

Solna

2022

Preprint

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We present a theory for wave scintillation in the situation with a timedependent partially coherent source and a time-dependent randomly heterogeneous medium. Our objective is to understand how the scintillation index of the measured intensity depends on the source and medium parameters. We deduce from an asymptotic analysis of the random wave equation a general form of the scintillation index and we evaluate this in various scaling regimes. The scintillation index is a fundamental quantity that is used to analyze and optimize imaging and communication schemes. Our results are useful to quantify the scintillation index under realistic propagation scenarios and to address such optimization challenges.

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“…One of the intriguing features of partially coherent beams with prescribed correlation functions is that such beams can produce a variety of nontrivial beam profiles in the far field [20][21][22][23][24][25][26][27][28], such as flat-top and dark-hollow beam profiles, beam arrays and lattices etc, which are expected to be useful in optical manipulation, material processing, image transmission and optical encryption. Furthermore, it was found that one can reduce turbulence-induced scintillation (i.e., intensity fluctuation) through manipulating the correlation functions of partially coherent beams [29,30], which makes partially coherent beams with prescribed correlation functions attractive for free-space optical communications. Various methods have been developed to generate partially coherent beams with prescribed correlation functions and measure their correlation functions [17,28,[30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, it was found that one can reduce turbulence-induced scintillation (i.e., intensity fluctuation) through manipulating the correlation functions of partially coherent beams [29,30], which makes partially coherent beams with prescribed correlation functions attractive for free-space optical communications. Various methods have been developed to generate partially coherent beams with prescribed correlation functions and measure their correlation functions [17,28,[30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Overcoming the classical Rayleigh diffraction limit by controlling two-point correlations of partially coherent light sources

Liang¹,

Wu²,

Wang³

et al. 2017

Opt. Express

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In classical optical imaging, the Rayleigh diffraction limit d R is defined as the minimum resolvable separation between two points under incoherent light illumination. In this paper, we analyze the minimum resolvable separation between two points under partially coherent beam illumination. We find that the image resolution of two points can overcome the classic Rayleigh diffraction limit through manipulating the correlation function of a partially coherent source, and the image resolution, which independent of the specified positions of two points in the object plane, can in principle reach the value of 0.17d R. Furthermore, we carry out an experimental demonstration of sub-Rayleigh imaging of a 1951 USAF resolution target via engineering the correlation function of the illuminating beam. Our experimental results are in agreement with our theoretical predictions.

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Flatness parameter influence on scintillation reduction for multi-Gaussian Schell-model beams propagating in turbulent air

Cited by 25 publications

References 34 publications

Partially Coherent Electromagnetic Beam Propagation in Random Media

Partially Coherent Electromagnetic Beam Propagation in Random Media

Scintillation of Partially Coherent Light in Time Varying Complex Media

Overcoming the classical Rayleigh diffraction limit by controlling two-point correlations of partially coherent light sources

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