Journal ArticleDOI
Theory of optical spectroscopy by digital autocorrelation of photon-counting fluctuations
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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.read more
Citations
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Journal ArticleDOI
Two-fold photoelectron counting statistics: the clipped correlation function
TL;DR: In this article, two-fold photoelectron counting statistics are studied for quasimonochromatic light of arbitrary spectral profile, and a numerical scheme is developed for the evaluation of the double generating function from which the joint probabilities, the photo-electron correlation function, and the clipped photo electron correlation function can be evaluated.
Journal ArticleDOI
A Photon Correlation Study of the Concentration Dependence of Macromolecular Diffusion
Robert L. Marlowe,H. E. Jackson +1 more
TL;DR: The generalized Stokes-Einstein equation predicts a linear dependence of the diffusion coefficient upon concentration for dilute solutions, which was investigated for highly concentrated solutions by photon correlation spectroscopy as discussed by the authors.
Journal ArticleDOI
Digital autocorrelation by minicomputer (photon spectroscopy)
A L Gray,F R Hallett,A Rae +2 more
TL;DR: A description of minicomputer digital autocorrelation techniques appropriate to photon correlation spectroscopy is given and a comparison is made between these techniques and the conventional clipping and scaling methods.
Journal ArticleDOI
Many-time photocount distributions
TL;DR: In this paper, the generating function is obtained for N photocounts for a gaussian optical field with a lorentzian profile without any restriction to the intervals during which the photodetectors are open.
Book ChapterDOI
Theoretical Aspects of Photon Correlation Methods in Doppler-Difference Anemometry
TL;DR: In this paper, a review of the developments in the theory of photostatistics and photon correlation spectroscopy which are of particular relevance to the design and operation of digital clipping correlators are first summarised.
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
J. H. Van Vleck,David Middleton +1 more
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
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
E Jakeman,E R Pike +1 more
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.