Multilook phase difference distribution for slightly rough boundary layered ground

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...

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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
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spelling doaj-88704ed499f144529bba6d7b939339742021-07-14T13:20:57ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332021-06-0115771872710.1049/mia2.12071Multilook phase difference distribution for slightly rough boundary layered groundSaddek Afifi0Richard Dusséaux1Electronics Department Badji Mokhtar – Annaba University Annaba AlgeriaLaboratoire Atmosphères Milieux, Observations Spatiales (LATMOS) Université de Versailles Saint‐Quentin‐en‐Yvelines Quartier des Garennes, Guyancourt FranceAbstract 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.https://doi.org/10.1049/mia2.12071
collection DOAJ
language English
format Article
sources DOAJ
author Saddek Afifi
Richard Dusséaux
spellingShingle Saddek Afifi
Richard Dusséaux
Multilook phase difference distribution for slightly rough boundary layered ground
IET Microwaves, Antennas & Propagation
author_facet Saddek Afifi
Richard Dusséaux
author_sort Saddek Afifi
title Multilook phase difference distribution for slightly rough boundary layered ground
title_short Multilook phase difference distribution for slightly rough boundary layered ground
title_full Multilook phase difference distribution for slightly rough boundary layered ground
title_fullStr Multilook phase difference distribution for slightly rough boundary layered ground
title_full_unstemmed Multilook phase difference distribution for slightly rough boundary layered ground
title_sort multilook phase difference distribution for slightly rough boundary layered ground
publisher Wiley
series IET Microwaves, Antennas & Propagation
issn 1751-8725
1751-8733
publishDate 2021-06-01
description 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.
url https://doi.org/10.1049/mia2.12071
work_keys_str_mv AT saddekafifi multilookphasedifferencedistributionforslightlyroughboundarylayeredground
AT richarddusseaux multilookphasedifferencedistributionforslightlyroughboundarylayeredground
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