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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

The extraction of spectral parameters in photon-correlation spectroscopy

C.J. Oliver
- 01 May 1978 - 
TL;DR: In this article, an analysis and discussion of the factors affecting the accuracy with which spectral parameters can be determined in photon-correlation spectroscopy on Gaussian-Lorentzian light using either direct, homodyne or heterodyne detection is presented.
Journal ArticleDOI

Statistics of Integrated Gamma-lorentzian Intensity Fluctuations

TL;DR: In this article, the single interval statistics of an integrated gamma-distributed variable with lorentzian spectrum were derived directly from a rate equation for the process, as a special case, the integrated photon statistics predicted by a model for single-mode thermal radiation in a cavity.
Journal ArticleDOI

Structural dynamics of frog muscle during isometric contraction.

TL;DR: The results imply that the tension developed during an isometric tetanus contains a fluctuating component as well as a constant component.
Journal ArticleDOI

Clipped correlation of integrated intensity fluctuations of gaussian light

TL;DR: In this paper, experimental confirmation of recent theoretical results of Jakeman on the time ever aging of photon-counting fluctuations when utilizing clipping techniques for autocorrelation is presented. And the effects of finite electronic resolving time (dead-time correction) and finite receiving apertures (spatial-coherence correction) are included.
References
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Journal ArticleDOI

Coherent and incoherent states of the radiation field

TL;DR: In this article, the photon statistics of arbitrary fields in fully quantum-mechanical terms are discussed, and a general method of representing the density operator for the field is discussed as well as a simple formulation of a superposition law for photon fields.
Journal ArticleDOI

The spectrum of clipped noise

TL;DR: In this paper, the authors calculate the intensity spectrum to be expected for clipped (also called "limited") noise, where the limiting amplitude is very small compared to the rms amplitude before clipping.
Journal ArticleDOI

Fluctuations of Photon Beams: The Distribution of the Photo-Electrons

TL;DR: In this article, the probability distribution p(n, T) of the number of counts n from a photoelectric detector illuminated by coherent light for a time T is studied, by associating photons stochastically with Gaussian random waves.
Book ChapterDOI

Advances in Radar Meteorology

David Atlas
TL;DR: In this paper, the authors summarize significant developments in radar meteorology since 1958 and integrate them properly within the framework of knowledge existing prior to that time, and the emphasis in this chapter is on the basic principles and concepts of radar meteorologists.
Journal ArticleDOI

Spectrum of clipped photon-counting fluctuations of Gaussian light

TL;DR: In this paper, the analogue of Van Vleck's theorem on the spectrum of clipped noise was formulated for use in optical spectroscopy, and the analogue was used for optical spectrograms.