Wave field in a layer with a linear background profile and multiscale random irregularities

Some features of backscattering in a reflective layer with multiscale random irregularities

“…where   Although the expressions obtained by the DWFT method allow us to take into account multiscale irregularities in the frequency coherence function, it is difficult to use the resulting seven-fold integral representation of a field to analyze statistical characteristics. Therefore, to study these three signal components (4), we asymptotically calculated a part of the integrals (see papers [9][10] and references therein).…”

“…To use it for describing signal reflection when the small-angle approximation is invalid, we can, as in papers [6][7] , go from an elliptic wave equation to a parabolic one through the Fock proper-time method 8 (the method of the fifth parameter) without any approximations. Solving this parabolic equation by the DWFT method, we obtain a wide-angle generalization of this method, which allows us to study the frequency coherence function and the mean intensity of a reflected pulse, taking into account both forward scattering by large-scale irregularities and backscattering by small-scale irregularities (see papers [9][10] and references therein). The effect of large-scale irregularities on the frequency coherence function and on the mean intensity of a reflected pulse has been investigated through numerical simulation.…”