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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-06-01
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| Series: | IET Microwaves, Antennas & Propagation |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/mia2.12071 |
| _version_ | 1811338208932265984 |
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| author | Saddek Afifi Richard Dusséaux |
| author_facet | Saddek Afifi Richard Dusséaux |
| author_sort | Saddek Afifi |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T18:06:41Z |
| format | Article |
| id | doaj.art-88704ed499f144529bba6d7b93933974 |
| institution | Directory Open Access Journal |
| issn | 1751-8725 1751-8733 |
| language | English |
| last_indexed | 2024-04-13T18:06:41Z |
| publishDate | 2021-06-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Microwaves, Antennas & Propagation |
| spelling | doaj.art-88704ed499f144529bba6d7b939339742022-12-22T02:36:03ZengWileyIET 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/mia2.12071electromagnetic wave scatteringGaussian distributionMonte Carlo methodsperturbation theoryrough surfacesstochastic processes |
| spellingShingle | Saddek Afifi Richard Dusséaux Multilook phase difference distribution for slightly rough boundary layered ground IET Microwaves, Antennas & Propagation electromagnetic wave scattering Gaussian distribution Monte Carlo methods perturbation theory rough surfaces stochastic processes |
| title | 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_short | Multilook phase difference distribution for slightly rough boundary layered ground |
| title_sort | multilook phase difference distribution for slightly rough boundary layered ground |
| topic | electromagnetic wave scattering Gaussian distribution Monte Carlo methods perturbation theory rough surfaces stochastic processes |
| url | https://doi.org/10.1049/mia2.12071 |
| work_keys_str_mv | AT saddekafifi multilookphasedifferencedistributionforslightlyroughboundarylayeredground AT richarddusseaux multilookphasedifferencedistributionforslightlyroughboundarylayeredground |