ACCOUNTING FOR SPHERISITY OF PHASE WAVE FRONTS IN THE THEORY OF WAVE SCATTERING BY TURBULENT ATMOSPHERE

ACCOUNTING FOR SPHERISITY OF PHASE WAVE FRONTS IN THE THEORY OF WAVE SCATTERING BY TURBULENT ATMOSPHERE

For the case of wave scattering by turbulent atmosphere, the asymtotics of three-fold integrals that determine the intensity of the scattered field are found. For nondegenerate scattering (hessian of phase being nonzero) the method of a stationary phase with respect to three integration variables ha...

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Bibliographic Details
Main Author: A. S. Bryukhovetski
Format: Article
Language:English
Published: National Academy of Sciences of Ukraine, Institute of Radio Astronomy 2014-09-01
Series:Radio Physics and Radio Astronomy
Subjects:
wave dispersion
oscillating function’s integral
stationary phase
fresnel zone
fraunhofer diffraction
Online Access:http://rpra-journal.org.ua/index.php/ra/article/view/1180/815
Description
Summary:For the case of wave scattering by turbulent atmosphere, the asymtotics of three-fold integrals that determine the intensity of the scattered field are found. For nondegenerate scattering (hessian of phase being nonzero) the method of a stationary phase with respect to three integration variables has been used. For the degenerate scattering (hessian of phase being zero) the combined method has been applied, namely, the Fraunhofer approximation in one variable, and the method of stationary phase in two other variables. The correlation has been established with the results known from literature.
ISSN:1027-9636
2415-7007

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