Premium
Wave propagation through a random medium: The random slab problem
Author(s) -
Acquista Charles
Publication year - 1978
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs013i006p00963
Subject(s) - plane wave , covariance , smoothing , covariance function , born approximation , mathematics , mathematical analysis , reflection (computer programming) , amplitude , wave propagation , slab , reflection coefficient , plane (geometry) , physics , optics , geometry , scattering , statistics , computer science , geophysics , programming language
The first‐order smoothing approximation yields integral equations for the mean and the two‐point correlation function of a wave in a random medium. A method is presented for the approximate solution of these equations that combines features of the eiconal approximation and of the Born expansion. This method is applied to the problem of reflection and transmission of a plane wave by a slab of a random medium. Both the mean wave and the covariance are calculated to determine the reflected and transmitted amplitudes and intensities.