Wave structure function and spatial coherence radius of plane and spherical waves propagating through oceanic turbulence

Lu, Lu; Ji, Xiaoling; Baykal, Yahya

doi:10.1364/oe.22.027112

Cited by 103 publications

(38 citation statements)

References 19 publications

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“…Since the power spectrum of oceanic turbulence proposed in 2000 [8], there has been remarkable interest in the study of propagation characteristics using laser beams in seawater. The power spectrum of oceanic turbulence has been simplified for homogeneous and isotropic water media [9], which is applicable for isothermal water [10]. When the eddy thermal diffusivity and the diffusion of salt are assumed to be equal, the power spectrum for homogeneous and isotropic oceanic water is given by the expression [11].…”

Section: Power Spectrum Of Oceanic Turbulencementioning

confidence: 99%

“…(1) is used and the order of summation and integration is interchanged. In addition, a ¼ 8: Based on the properties of hypergeometric function and Pochhammer symbol [14], after very tedious calculations [10], the WSF of a plane wave in certain asymptotic regimes is…”

Section: Plane Wavementioning

confidence: 99%

“…To clarify the physical explanation, we introduce the plane-wave spatial coherence radius r 0pl (see Ref. [10] in the inertial range) in Eqs. (21) and (22), and the simplified expressions of phase structure function and AOA fluctuations for plane waves can be expressed as…”

Section: Angle-of-arrival Fluctuations Of Plane Wavementioning

confidence: 99%

See 2 more Smart Citations

Laser Beam Propagation through Oceanic Turbulence

Wang¹,

Lu²,

Zhang³

et al. 2019

Turbulence and Related Phenomena

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Using a recently proposed model for the refractive index fluctuations in oceanic turbulence, optical beam propagation through seawater is explored. The model provides an accurate depiction of the ocean through the inclusion of both temperature and salinity fluctuations to the refractive index. Several important statistical characteristics are explored including spatial coherence radius, angle-of-arrival fluctuations, and beam wander. Theoretical values of these parameters are found based on weak fluctuation theory using the Rytov method. The results presented serve as a foundation for the study of optical beam propagation in oceanic turbulence, which may provide an important support for further researches in applications for underwater communicating, imaging, and sensing systems.

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Section: Power Spectrum Of Oceanic Turbulencementioning

confidence: 99%

Section: Plane Wavementioning

confidence: 99%

See 1 more Smart Citation

Laser Beam Propagation through Oceanic Turbulence

Wang¹,

Lu²,

Zhang³

et al. 2019

Turbulence and Related Phenomena

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“…For instance, partially coherent beams with different types of correlation, including Gaussian Schell-model arrays, 4 multi-Gaussian correlated Schell-model beams, 5 and cosine-Gaussian Schell-model beams 6,7 have been produced. Further to this, the propagation of partially coherent beams in atmospheric turbulence, 8,9 oceanic turbulence, [10][11][12] and isotropic random media 13 has also been investigated.…”

Section: Introductionmentioning

confidence: 99%

Generation of partially coherent beams with controllable time-dependent coherence

Chen

Chávez-Cerda

2017

Opt. Eng.

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Abstract. A straight effective method to produce partially coherent beams with controllable time-dependent coherence is demonstrated. We theoretically deduce that a time-dependent partially coherent beam can be generated by imposing dynamic random phase on a coherent laser beam. The degree of coherence of the beam is determined by an amplitude control parameter of the dynamic random phase. We experimentally corroborate that after a completely coherent laser beam reflected from a spatial light modulator, loaded with a particular dynamic random phase, this beam is transformed into a partially coherent beam with time-dependent coherence. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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“…Scintillations of optical plane and spherical waves in underwater turbulence have been published [5]. The analytic formula of wave structure function for oceanic turbulence has been obtained [6]. The attenuation coefficient of all water (pure, distilled, or natural) varies markedly with wavelength has already researched by S. Q. Duntley since 1960s [7].…”

Section: Introductionmentioning

confidence: 99%

Influence of oceanic turbulence on propagation of a radial Gaussian beam array

Lu¹,

Zhang²,

Fan³

et al. 2015

Opt. Express

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The analytical expression for the root-mean-square (Rms) beam width of the radial Gaussian beam array propagating in oceanic turbulence is derived, where the coherent combination is considered. Meanwhile, the analytical expression for effect of the turbulence on the beam F is also obtained. Giving a comparison of results of F calculated by the analytical expression and the previously integrating one, it can be seen that the two results are in agreement with each other exactly. Further, the influences of the rate of dissipation of mean-squared temperatureχ(T), the rate of dissipation of kinetic energy per unit mass of seawater εand the ratio of temperature to salinity contribution to the refractive index spectrum w are investigated. The results indicate that the Rms beam width increases as χ(T) increases, εdecreases and the salinity-induced turbulence dominates. Moreover, the changings of effective radius of curvature with mentioned above parameters are studied. The strength of turbulence determines the value of effective radius of curvature, and which decreases asχ(T) and w increases, and εdecreases.

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Wave structure function and spatial coherence radius of plane and spherical waves propagating through oceanic turbulence

Cited by 103 publications

References 19 publications

Laser Beam Propagation through Oceanic Turbulence

Laser Beam Propagation through Oceanic Turbulence

Generation of partially coherent beams with controllable time-dependent coherence

Influence of oceanic turbulence on propagation of a radial Gaussian beam array

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