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Journal ArticleDOI

Theory of optical spectroscopy by digital autocorrelation of photon-counting fluctuations

E Jakeman
- 01 Mar 1970 - 
- Vol. 3, Iss: 2, pp 201-215
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TLDR
In this article, a detailed analysis of the relationship between the autocorrelation functions of clipped and unclipped photon counting fluctuations is given by evaluating the generating function for the joint distribution of intensity fluctuations, corrections to the earlier results arise if the time over which the signal is sampled is not negligible compared with any coherence time of the light.
Abstract
Digital autocorrelation of optical signals is discussed with particular reference to the technique of clipping, reported briefly in an earlier publication. A detailed analysis of the relationship between the autocorrelation functions of clipped and unclipped photon-counting fluctuations is given. By evaluating the generating function for the joint distribution of intensity fluctuations, corrections to the earlier results are calculated which arise if the time over which the signal is sampled is not negligible compared with any coherence time of the light. The effect of clipping in heterodyne experiments is also analysed.

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Citations
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Journal ArticleDOI

Detailed comparison of the Williams–Watts and Cole–Davidson functions

TL;DR: In this paper, the distribution function of relaxation times underlying the nonexponential relaxation function of Williams and Watts is derived and compared with the analogous Cole-Davidson distribution function, and several useful relations between relaxation and distribution functions are summarized or derived, and the limitations of deriving distribution functions from relaxation functions are discussed.
Journal ArticleDOI

Correlation techniques in dynamic light scattering

TL;DR: In this article, the authors use a photon detection process to measure the Doppler shifts of the scattered light in a laser beam, and then use the photon structure functions to resolve very small particle displacements.
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Homodyne light beating spectroscopy of o-terphenyl in the supercooled liquid state

TL;DR: In this paper, the authors used the photon correlation technique to study the laser light scattering intensity fluctuations of supercooled liquid o−terphenyl at temperatures between 12 and −15°C.
Journal ArticleDOI

Correlation function dependence of the scintillation behind a deep random phase screen

E Jakeman, +1 more
- 01 Sep 1977 - 
TL;DR: The role of the phase autocorrelation function in the generation of speckle, focusing and other scintillation effects produced when radiation is scattered by a deep random phase screen is investigated in this article.
References
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Journal ArticleDOI

The intensity-fluctuation distribution of Gaussian light

TL;DR: In this article, the authors discuss the quantum-mechanical problem of intensity fluctuations in samples of Gaussian light and its connection with the corresponding classical scalar problem involving fluctuations of random noise power.
Journal ArticleDOI

Statistics of heterodyction of Gaussian light

TL;DR: In this paper, the second moment of the intensity fluctuation distribution is obtained in an analytic form for a Lorentzian incoherent spectrum for arbitrary values of the bandwidth and frequency displacement from the coherent mode.
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A measurement of optical linewidth by photon-counting statistics

TL;DR: An optical linewidth of 20 Hz of laser light scattered by spherical particles undergoing Brownian motion has been measured experimentally by photon-counting statistics using the theory of the intensity-fluctuation distribution of Gaussian-Lorentzian light as mentioned in this paper.
Journal ArticleDOI

On the Distributions of Signals and Noise after Rectification and Filtering

TL;DR: In this article, the probability distributions for broad and narrow-band signals and normal random noise, following a square-law rectifier and a video (or audio) filter of arbitrary width, are examined.