Gaussian Schell-model sources: an example and some perspectives

Deschamps, Joël; Courjon, D.; Bulabois, J.

doi:10.1364/josa.73.000256

Cited by 50 publications

(16 citation statements)

References 8 publications

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“…In practice, the laser beam emitted is partially coherent and is represented by the GSM [8,9]. The cross-spectral density function of a GSM laser source at the transmitter is given by [23] W r 1 ;…”

Section: Average Optical Intensitymentioning

confidence: 99%

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Performance analysis of a free-space laser communication system with a Gaussian Schell model

Tan

et al. 2015

Journal of Modern Optics

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2015): Performance analysis of a free-space laser communication system with a Gaussian Schell model, Journal of Modern Optics,In practice, due to reasons related to the characteristics of the laser device and the inevitable error of the processing technique, a laser beam emitted from a communication terminal is represented by the Gaussian-Schell model. The incident optical intensity at the receiver aperture is affected by the source coherence parameter through atmospheric turbulence. With full consideration of both the average optical intensity and the scintillation, the statistical distribution of the optical intensity and the average bit error rate (BER) of an on-off keying (OOK) receiver is obtained. The results indicate that the effect on the degradation of the average optical intensity is reduced with a smaller beamwidth. The performance of the OOK receiver degrades drastically with the increasing source coherence parameter. Moreover, when the beamwidth becomes larger, the BER 0 with a consistent source coherence parameter shifts to the side of lower BER. The goal of this work is to improve the redundancy design of the laser communication receiver system.

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Section: Average Optical Intensitymentioning

confidence: 99%

“…However, in practice, the laser beam propagating through free space is partially coherent and is represented by the Gaussian-Schell model (GSM) [8,9]. Propagation through atmospheric turbulence also degrades the average optical intensity and induces random fluctuations of the optical intensity at the receiver.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of a free-space laser communication system with a Gaussian Schell model

Tan

et al. 2015

Journal of Modern Optics

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“…In another technique the light is transmitted through a liquid crystal whose correlation properties can be modified by applying to it an electric dc field [ l l , 121, or passing it through a beam of ultrasonic waves (for example, [13,141) or using synthetic acousto-optic holograms [15, 161. Other methods make use of holographic filters [17], lensless feedback systems [18] or source filters [19]. Synthesis of partially coherent fields from initially incoherent and coherent sources was described in [20].…”

Section: Synthesizedmentioning

confidence: 99%

Coherence filters and their uses. I. Basic theory and examples

Wolf

Shirai

Chen

et al. 1997

Journal of Modern Optics

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The phenomenon of correlation-induced spectral changes, discovered several years ago and extensively studied since then, is shown to offer the possibility of contructing novel types of spectral filter which have several properties that are not achievable with conventional filters. For example such filters can have different prescribed filtering properties in different directions of observation. In this paper the underlying theory is discussed and is illustrated by a few examples.

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“…As is well known, these types of field, because of their noncoherent nature, do not produce harmful laser effects, such as speckle or ringing, and, under rather general conditions, they behave as highly directional wave fields. 6,7 In the following, after the pertinent definitions and the procedure to be used are introduced, we analyze the behavior of the quality of GSM fields that propagate through Gaussian apertures in terms of both their coherence length and their width.Since GSM beams are partially spatially coherent, it appears appropriate to employ the Wigner distribution function (WDF) formalism. Restricting ourselves, for sim plicity, to essentially bidimensional beams, let us then start from the expression of the WDF associated with a GSM field:…”

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confidence: 99%

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Beam quality changes of Gaussian Schell-model fields propagating through Gaussian apertures

1992

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Beam quality behavior of Gaussian Schell-model beams that propagate through Gaussian apertures is analyzed.The control and characterization of the spatial profiles of laser beams is, at present, a field of growing interest because of the attractive possibility of improving the perfor mances of important metrological and industrial processes. Thus, quite recently 1 ' 2 a family of measurable parameters has been defined in terms of the second-order coherence features of beams that describe their focusing capabilities, divergence properties, and degree of asymmetry or astigma tism under propagation through general ABCD optical systems. Moreover, a new parameter has been introduced in the literature 3,4 that can be used as an appropriate description of the beam quality in passive and active media.5 Among other properties, this characteristic param eter remains invariant under propagation through firstorder systems. An immediate consequence could be de rived from this invariance property: in order to improve the quality of an arbitrary beam non-ABCD optical systems are necessarily required. In the present work attention is concentrated on a certain class of soft-edge diffraction apertures, namely, the so-called Gaussian apertures, which, as is seen later, are specially suitable to control the quality of Gaussian Schell-model (GSM) beams. As is well known, these types of field, because of their noncoherent nature, do not produce harmful laser effects, such as speckle or ringing, and, under rather general conditions, they behave as highly directional wave fields. 6,7 In the following, after the pertinent definitions and the procedure to be used are introduced, we analyze the behavior of the quality of GSM fields that propagate through Gaussian apertures in terms of both their coherence length and their width.Since GSM beams are partially spatially coherent, it appears appropriate to employ the Wigner distribution function (WDF) formalism. Restricting ourselves, for sim plicity, to essentially bidimensional beams, let us then start from the expression of the WDF associated with a GSM field:In this expression x denotes the spatial variable transversal to the propagation direction z, ku is the wave vector component along the x axis (hence u would represent an angle of propagation, without taking the evanescent into account), P t is the total irradiance, σ 1 (z) and R(z) are the beamwidth and the curvature radius at the z plane, and the constant γ is the so-called global degree of coherence, i.e., the ratio between the transversal coherence length and the beamwidth. It is well known 8 that integration of the WDF over the angular variable u gives the beam intensity, and its integral over the spatial variable x is proportional to the radiant intensity of the field. Moreover, by defining the average (q) in the form we can introduce a number of characteristic beam parame ters, namely, (x), (u), (x 2 ), and (u 2 ), representing, respec tively, the center of the beam, its direction of propagation, its (squared) width, and its (s...

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Gaussian Schell-model sources: an example and some perspectives

Cited by 50 publications

References 8 publications

Performance analysis of a free-space laser communication system with a Gaussian Schell model

Performance analysis of a free-space laser communication system with a Gaussian Schell model

Coherence filters and their uses. I. Basic theory and examples

Beam quality changes of Gaussian Schell-model fields propagating through Gaussian apertures

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