Multilook phase difference distribution for slightly rough boundary layered ground

Abstract The authors derive the distribution of the phase difference between two multilook scattering signals for a multilayer stack with randomly rough surfaces under a plane wave excitation. First, for infinite slightly rough surfaces described by Gaussian centred stochastic processes, the authors...

Full description

Bibliographic Details
Main Authors: Saddek Afifi, Richard Dusséaux
Format: Article
Language:English
Published: Wiley 2021-06-01
Series:IET Microwaves, Antennas & Propagation
Online Access:https://doi.org/10.1049/mia2.12071
Description
Summary:Abstract The authors derive the distribution of the phase difference between two multilook scattering signals for a multilayer stack with randomly rough surfaces under a plane wave excitation. First, for infinite slightly rough surfaces described by Gaussian centred stochastic processes, the authors show that the underlying complex scattering signals follow a Gaussian joint distribution. Also, it is demonstrated that this property is within the scope of the first‐order perturbation theory. Secondly, the authors use this joint probability law to derive the closed‐form expression for the probability density function of the phase difference. The theoretical formula is verified by comparison with Monte‐Carlo simulations.
ISSN:1751-8725
1751-8733