hal-02434616
https://hal.science/hal-02434616
doi:10.1109/ICEAA.2019.8879330
[UNIV-BREST] Université de Bretagne occidentale - Brest (UBO)
[INSTITUT-TELECOM] Institut Mines Télécom
[ENSTA-BRETAGNE] ENSTA Bretagne
[CNRS] CNRS - Centre national de la recherche scientifique
[UNIV-UBS] Université de Bretagne Sud
[ENSTA-BRETAGNE-STIC] Département STIC
[ENIB] Ecole Nationale d'Ingénieurs de Brest
[LAB-STICC] Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
[INSTITUTS-TELECOM] composantes instituts telecom
Rough paths theory applied to analyze the electromagnetic field scattered by a time varying sea surface
Coatanhay, Arnaud
[SPI] Engineering Sciences [physics]
[SPI.ELEC] Engineering Sciences [physics]/Electromagnetism
COMM
Surface roughness
Differential equations
Rough surfaces
Surface treatment
Electromagnetic scattering
Stochastic processes
Sea surface
Due to complex non-linear fluid dynamics, sea surfaces can be considered as time-varying random rough surfaces. For the sake of simplicity, statistical approaches model the complex surface as a set of random discrete scatterers. Assuming a great number of random scatterers (phase screens) following a birth-death Markov process, Field and al. [1], [2] proved that the dynamics of the electrical field scattered by these scatterers can be described by a stochastic differential model. More precisely [3], [4], the electrical scattered field is described by two processes, a normalized amplitude Psi {text{t}} and a Radar Cross Section (RCS) Xt, that are given by the following set of non-linear coupled stochastic differential equations (NLCSDE).
2019-09-09
en
21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
Granada, Spain