Probability density function of the intensity for a laser-generated speckle field after propagation through the turbulent atmosphere

Gudimetla, V. S. Rao; Holmes, J. Fred

doi:10.1364/josa.72.001213

Cited by 44 publications

(10 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To include turbulence produced scintillation effects, researchers [7][8][9] have found that a two-parameter K-distribution (TPK distribution) (a.k.a. Γ-Γ distribution) irradiance PDF fits the data and theory of round-trip ladar target and propagation effects well: …”

Section: Photo-electron Statistics Reviewmentioning

confidence: 99%

“…"M scnt " may be estimated by performing a path integral calculation of the Rytov parameter and relating this computed value to the round-trip normalized variance of irradiance data [7][8][9] collections. This approximation is a fortunate simplification as Teich 10 has shown that the Poisson transform of a K-distribution has not yet been analytically evaluated.…”

Section: Photo-electron Statistics Reviewmentioning

confidence: 99%

See 1 more Smart Citation

Receiver-operating characteristic for several multiple hypothesis range-rate filter algorithms

Youmans

2010

Laser Radar Technology and Applications XV

View full text Add to dashboard Cite

Several multiple-hypothesis range-rate algorithms are investigated to determine initial target acquisition capabilities of a direct detection ladar operating under low photo-electron return conditions. During initial acquisition of an object, the location of the object is not known, therefore the ladar returns cannot be simply summed in order to improve detection statistics. Analogous to classical radar multiple hypothesis algorithm approaches a "shift and sum," a "shift and accumulate," and a "numerically shift and histogram" algorithm are investigated. The probability density function for the maximum of the multiple-hypothesis range-rate algorithm matrix output is developed so that a threshold crossing probability can be determined and a "detection" declared (receiver-operating-characteristic). This is expressed as a function of false alarm rate which is a function of the number of ladar returns processed in the acquisition process and the length of the acquisition window.

show abstract

Section: Photo-electron Statistics Reviewmentioning

confidence: 99%

Section: Photo-electron Statistics Reviewmentioning

confidence: 99%

Receiver-operating characteristic for several multiple hypothesis range-rate filter algorithms

Youmans

2010

Laser Radar Technology and Applications XV

View full text Add to dashboard Cite

show abstract

“…Work on reflection field scattering character by other researchers has primarily been concentrated on the horizontal path [1][2][3][4][5]. There are many correlative researches [6][7][8][9][10][11][12][13] and application of turbulent model.…”

Section: Introductionmentioning

confidence: 99%

Echo-wave scattering characteristics of the diffuse target in the slant atmospheric turbulence

Wei

Zhang

Cheng

et al. 2014

Optik

View full text Add to dashboard Cite

“…Our theory is based on a modified random phasor sum model where the number of phasors that contribute to the field is random. This model has been previously employed to obtain the K distribution [17,18]-an intensity probability density function that has been used to model microwave intensity reflected by rough sea surfaces [19], transmission through turbulent atmosphere [20][21][22], and randomly corrugated waveguides [23]. Assuming circularity of the contributing random phasors, we obtain the field density function from a modified random phasor sum model by a simple inverse Fourier transform.…”

Section: Introductionmentioning

confidence: 99%

Circular Bessel statistics: derivation and application to wave propagation in random media

2014

View full text Add to dashboard Cite

We present a family of circular Bessel probability density functions that are capable of describing the intensity, amplitude, and field statistics of waves in any random medium, with only the assumption of circularity. The well-known zero-mean circular Gaussian statistics break down in the Anderson localization and the weakly scattering regimes, where the field can no longer be regarded as the sum of a multitude of independent random phasors. We find that in such scenarios circular Bessel statistics apply because the field can be modeled as a random phasor sum with a random number of contributing phasors. The validity of our density functions is verified through numerical simulations of electromagnetic waves propagating in 2D random media. Having a set of density functions that work in all scattering regimes provides a framework for modeling wave propagation in random media, facilitating random media characterization, imaging in and through scatter, and random laser design.

show abstract

Probability density function of the intensity for a laser-generated speckle field after propagation through the turbulent atmosphere

Cited by 44 publications

References 9 publications

Receiver-operating characteristic for several multiple hypothesis range-rate filter algorithms

Receiver-operating characteristic for several multiple hypothesis range-rate filter algorithms

Echo-wave scattering characteristics of the diffuse target in the slant atmospheric turbulence

Circular Bessel statistics: derivation and application to wave propagation in random media

Contact Info

Product

Resources

About