Controlling the intensity statistics of speckle patterns: From normal to subthermal or superthermal distributions

Alves, Samuel B.; Cavalcante, Hugo L. D. de S.; Oliveira, Gilson F. de; Silans, Thierry Passerat de; Vidal, Itamar; Chevrollier, Martine; Oriá, Marcos

doi:10.1103/physreva.99.033838

Cited by 7 publications

(4 citation statements)

References 35 publications

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“…5.25 and 5.27 have very unusual features. With the power exponent less than 2, α < 1, the mean number of photons is not defined and depends on the time of observation, making this distribution much different from the ones reported by the others [169,170,130]. Similar to the fractal 'coastline paradox' [179], where the coastline appears to be longer, the better one measures, the mean photon number will be the higher, the more data are used to determine it, N F ∝ s 1 /α−1 , where s is the dataset size [171].…”

Section: Extreme Bunching: Outlook and Possible Applicationsmentioning

confidence: 87%

“…3c,e have very unusual features. With k < 1, the mean number of photons per pulse is not defined and depends on the time of observation; it makes our distribution much different from the ones reported by the others [26][27][28]. This fractal-like behavior is typical for Pareto distributions where the mean values do not converge [29].…”

mentioning

confidence: 86%

“…provided by this distribution are justified for large N . The CFs are higher than for thermal light; for this reason the degenerate BSV is often called 'superbunched', 'extrabunched', or 'superthermal' light [128,36,129,130].…”

Section: Fluctuations Of Light: Coherent Thermal and Superbunchedmentioning

confidence: 99%

“…Nevertheless, the Pareto distributions appear in biology [162], astrophysics [163], geophysics [164], and condensed matter physics [165,166]. In optics they appear in scattering [167,168] or highly nonlinear phenomena [169,170,130]. In the latter, the Pareto distributions appear due to the exponential amplification of an initially broad distribution, which is one of the main origins of power-law scalings [171].…”

Section: Extreme Events Extreme Bunching and Heavytailed Distributionsmentioning

confidence: 99%

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Indefinite-Mean Pareto Photon Distribution from Amplified Quantum Noise

et al. 2019

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Extreme events appear in many physics phenomena, whenever the probability distribution has a 'heavy tail', differing very much from the equilibrium one. Most unusual are the cases of powerlaw (Pareto) probability distributions. Among their many manifestations in physics, from 'rogue waves' in the ocean to Lévy flights in random walks, Pareto dependences can follow very different power laws. For some outstanding cases the power exponents are less than 2, leading to indefinite mean values, let alone higher moments. Here we present the first evidence of indefinite-mean Pareto distribution of photon numbers at the output of nonlinear effects pumped by parametrically amplified vacuum noise, known as bright squeezed vacuum (BSV). We observe a Pareto distribution with power exponent 1.31 when BSV is used as a pump for supercontinuum generation, and other heavy-tailed distributions (however with definite moments) when it pumps optical harmonics generation. Unlike in other fields, we can flexibly control the Pareto exponent by changing the experimental parameters. This extremely fluctuating light is interesting for ghost imaging and quantum thermodynamics as a resource to produce more efficiently non-equilibrium states by single-photon subtraction, the latter we demonstrate experimentally.

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Section: Extreme Bunching: Outlook and Possible Applicationsmentioning

confidence: 87%

mentioning

confidence: 86%

Section: Fluctuations Of Light: Coherent Thermal and Superbunchedmentioning

confidence: 99%

Section: Extreme Events Extreme Bunching and Heavytailed Distributionsmentioning

confidence: 99%

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Indefinite-Mean Pareto Photon Distribution from Amplified Quantum Noise

et al. 2019

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Modulating the spatial coherence-polarization from intensity basis addition of speckle patterns with polarization diversity

Roy

2023

Optics and Lasers in Engineering

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Speckled-speckle field as a resource for imaging techniques

Cassina,

Cenedese,

Allevi

et al. 2024

Sci Rep

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Correlated states of light, both classical and quantum, can find useful applications in the implementation of several imaging techniques. Among the employed sources, pseudo-thermal states, generated by the passage of a laser beam through a diffuser, represent the standard choice. To produce light with a higher level of correlation, in this work we consider and characterize the speckled-speckle field obtained with two diffusers using both a numerical simulation and an experimental implementation. In order to discuss the potential usefulness of super-thermal light in imaging protocols, we analyze the behavior of some figures of merit, namely the contrast, the signal-to-noise ratio and the image resolution. The obtained results clarify the possible advantages offered by this kind of light, and at the same time better emphasize the reasons why it does not outperform pseudo-thermal light.

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Controlling the intensity statistics of speckle patterns: From normal to subthermal or superthermal distributions

Cited by 7 publications

References 35 publications

Indefinite-Mean Pareto Photon Distribution from Amplified Quantum Noise

Indefinite-Mean Pareto Photon Distribution from Amplified Quantum Noise

Modulating the spatial coherence-polarization from intensity basis addition of speckle patterns with polarization diversity

Speckled-speckle field as a resource for imaging techniques

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