Statistical Properties of Scattered Radiation

Pusey, P. N.

doi:10.1007/978-1-4757-1668-9_3

Cited by 33 publications

(23 citation statements)

References 62 publications

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“…(4.3) were reported previously by Bertolotti et al 5 and by Pusey. 6 We also report a generalization in which the negativebinomial distribution is smeared by a noncentral x 2 distribution. This distribution may suitably model the statistics of photodetection for radiation passed through turbulent media, such as the atmosphere.…”

Section: Multiply Stochastic Representations For the Photon-counting mentioning

confidence: 95%

“…A more general approach, initiated by Pusey, Jakeman, and their colleagues in 1976, made use of the K distribution for problems involving the field and irradiance in scattering, speckle, and the propagation of light through turbulent media. 6 -' 2 The same model was used also to describe non-Rayleigh microwave sea echo. ' 3 -' 5 A number of generalizations of the K distribution, including the I-K distributionl61 7 and the generalized K distribution, 1…”

Section: Introductionmentioning

confidence: 99%

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Multiply stochastic representations for K distributions and their Poisson transforms

Teich

Diament

1989

J. Opt. Soc. Am. A

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Section: Multiply Stochastic Representations For the Photon-counting mentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Multiply stochastic representations for K distributions and their Poisson transforms

Teich

Diament

1989

J. Opt. Soc. Am. A

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“…For the same reason, we shall just discuss DLS from a system of noninteracting particles, referring to excellent books and reviews [4][5][6][7][8] for a more comprehensive treatment. This short presentation is mostly meant to stress those fundamentals of the technique that are essential to grasp the more recent advancement we shall later discuss.…”

Section: Dls (Intensity-correlation Spectroscopy)mentioning

confidence: 99%

“…In other words, we actually want to avoid using a source with a very long coherence time, for we need t c to be much shorter than the physical fluctuation time of the sample ( Figure 10.1). Quantitatively [7], one finds that the scattered field is not Gaussian, so that, in terms of the full correlation functions g 2 (q,t) 6 ¼ 1 þ |g 1 (q,t)| 2 ; yet, g 2 (t) ¼ 1 þ |g 1 B (q,t)| 2 ; thus, intensity-correlation measurements still yield what is needed. The latter, however, still affect g 1 (t), thus hampering spectroscopic and interferometric measurements.…”

Section: Dls the Ultimate Spectroscopymentioning

confidence: 99%

“…7 Note that g 2 (t) decreases from four to one because the scattered field is, at least in the case of a pure thermal source, the product of two Gaussian processes. 7 Note that g 2 (t) decreases from four to one because the scattered field is, at least in the case of a pure thermal source, the product of two Gaussian processes.…”

Section: Dls the Ultimate Spectroscopymentioning

confidence: 99%

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Optical Correlation Techniques for the Investigation of Colloidal Systems

Piazza

2014

Colloidal Foundations of Nanoscience

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In Chapter 8, we have seen how scattering techniques provide a powerful way not only to measure the size and morphology of colloidal particles but also to investigate their interactions in solutions. The form and structure factor of very small particles, however, can only be obtained using SANS or SAXS, which require a large-scale facility such as a nuclear plant or a synchrotron radiation source. An alternative technique that can be set up at reasonable cost in any lab is dynamic light scattering (DLS), based on measuring the time dependence of the scattered radiation rather than the static intensity, which allows investigating colloidal particles and structures ranging from a few nanometers up to any size and provides further important information on the particle Brownian dynamics introduced in Chapter 9. Optical microscopy methods, which have become increasingly more sophisticated and powerful, are of course another important class of experimental technique suitable to be used in a small lab. The historical development of these two widespread approaches to particle sizing and characterization has proceeded along paths that, after the seminal contributions by great scientists like Abbe and Zernike, have been mostly separated. The aim of this chapter is showing that, as a matter of fact, scattering and microscopy are intimately related and that a full appraisal of this deep connection allows to design novel powerful investigation methods that combine their powers. Understanding this relation requires, however, to master some basic concepts in statistical optics, which is the purpose of the next introductory section. BASIC CONCEPTS IN STATISTICAL OPTICSScattering or microscopy experiments necessarily involve statistical fluctuations, which already stem from the optical source used to probe the investigated system, are modified by the interaction of the probing field with the sample, and are further influenced by the detection 233 Colloidal Foundations of Nanoscience #

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Photon Correlation Spectroscopy in Particle Sizing

Tscharnuter

2000

Encyclopedia of Analytical Chemistry

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Photon correlation spectroscopy (PCS) has become a powerful light‐scattering technique for studying the properties of suspensions and solutions of colloids, macromolecules and polymers, that is absolute, non‐invasive and non‐destructive. This text explains the principles of the technique and describes the required instrumentation. It also discusses new developments in instrumentation, which may substantially impact on future applications of this technique. Proper sample preparation is of major importance for the accuracy and precision of the mean size and size distribution results and thus one section is dedicated to sample handling.

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Statistical Properties of Scattered Radiation

Cited by 33 publications

References 62 publications

Multiply stochastic representations for K distributions and their Poisson transforms

Multiply stochastic representations for K distributions and their Poisson transforms

Optical Correlation Techniques for the Investigation of Colloidal Systems

Photon Correlation Spectroscopy in Particle Sizing

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