Density of real-plane zeros of a light wave in a turbulent medium

Valeri A. Tartakovski

doi:10.1117/12.370480

19 November 1999 Density of real-plane zeros of a light wave in a turbulent medium

Valeri A. Tartakovski

Proceedings Volume 3983, Sixth International Symposium on Atmospheric and Ocean Optics; (1999) https://doi.org/10.1117/12.370480
Event: Sixth International Symposium on Atmospheric and Ocean Optics, 1999, Tomsk, Russian Federation

Abstract

The probability-density function of the log-amplitude derivative was represented as regular part of Laurent series in a neighborhood of the point at infinity and then it was established that real-plane zeros exist only if asymptotic behavior of the probability-density function at infinity is inversely related to cube of the random variable. Therewith the density of points, where the light wave has zeros of any order, is determined by the coefficient with the index minus three of Laurent series for the probability-density function of the log-amplitude derivative. This result is reduced to known particular cases.

Citation Download Citation

Valeri A. Tartakovski "Density of real-plane zeros of a light wave in a turbulent medium", Proc. SPIE 3983, Sixth International Symposium on Atmospheric and Ocean Optics, (19 November 1999); https://doi.org/10.1117/12.370480

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