Journal ArticleDOI
Application of joint Gaussian statistics to interplanetary scintillation
George C. Valley,Dennis L. Knepp +1 more
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In this paper, the second and fourth moments of the scattered electromagnetic waves, the inphase and quadratrue variances and the correlation coefficient are calculated in the first Born approximation to illustrate application of the joint Gaussian results to interplanetary radio star scintillations.Abstract:
The third and fourth intensity moments are calculated for a stochastic electromagnetic field whose quadrature components obey joint Gaussian statistics. From these moments the skewness and excess coefficients are derived and compared to the expressions for Rice-Nakagami and log normal statistics. The joint Gaussian intensity moments depend on three moments of the scattered electromagnetic waves, the inphase and quadratrue variances and the correlation coefficient; these three moments are calculated in the first Born approximation to illustrate application of the joint Gaussian results to interplanetary radio star scintillations. With this approximation, observations of skewness versus scintillation index are related to combinations of correlation length and spectral index for the solar wind electron number density fluctuations. This weak scattering relationship suggests a number of observational tests of the joint Gaussian hypothesis. (AIP)read more
Citations
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Journal ArticleDOI
Electromagnetic beam propagation in turbulent media: An update
TL;DR: In this article, the authors reviewed the recent developments on wave propagation in turbulent media, including adaptive optics, intensity scintillations, pulse propagation, atmospheric measurements at visible, IR, and millimeter wave frequencies, speckle interferometry, and other related topics.
Journal ArticleDOI
Log-normal Rician probability-density function of optical scintillations in the turbulent atmosphere
TL;DR: The log-normal Rician probability density function as discussed by the authors is based on the following paradigm for the optical field after propagation through atmospheric turbulence: a field with reduced coherence that obeys Rice-Nakagami statistics is modulated by a multiplicative factor which obeys log normal statistics.
Journal ArticleDOI
Scintillation in the White-Noise Paraxial Regime
Josselin Garnier,Knut Sølna +1 more
TL;DR: In this paper, the white-noise paraxial wave model is considered and the closed-form equations for the second and fourth-order moments of the field are solved in two particular situations.
Journal ArticleDOI
Fourth-Moment Analysis for Wave Propagation in the White-Noise Paraxial Regime
Josselin Garnier,Knut Sølna +1 more
TL;DR: In this paper, the authors considered the Ito-Schrodinger model for wave propagation in random media in the paraxial regime and proved that the centered fourth-order moments of the field satisfy the Gaussian summation rule.
Journal ArticleDOI
Higher-order skewness and excess coefficients of some probability distributions applicable to optical propagation phenomena
TL;DR: In this article, expressions for higher-order skewness and excess coefficients using central moments and cumulants up to 8th order were derived for three probability distributions: (1) Log-normal, (2) Rice-Nakagami, and (3) Gamma distributions.
References
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Journal ArticleDOI
Mathematical analysis of random noise
TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.
Book
The scattering of electromagnetic waves from rough surfaces
Petr Beckmann,Andre Spizzichino +1 more
TL;DR: The scattering of electromagnetic waves from rough surfaces PDF is available at the online library of the University of Southern California as mentioned in this paper, where a complete collection of electromagnetic wave from rough surface books can be found.
Book ChapterDOI
The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading
TL;DR: In this article, the authors summarized the principal results of a series of statistical studies in the last seven years on the intensity distributions due to rapid fading, and presented an extremely simplified method for estimating the improvement available from various systems of diversity reception.
Journal ArticleDOI
Tables of Integrals
TL;DR: In the fourth edition of the book as mentioned in this paper, the section on definite integrals has been considerably enlarged and a section added on integrals essentially of elliptic type, which is the case with the present edition.