%0 Conference Proceedings %T Rough paths theory applied to analyze the electromagnetic field scattered by a time varying sea surface %+ Lab-STICC_ENSTAB_MOM_PIM %A Coatanhay, Arnaud %< avec comité de lecture %B 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 %C Granada, Spain %V International Conference on Electromagnetics in Advanced Applications (ICEAA) %P 8879330 %8 2019-09-09 %D 2019 %R 10.1109/ICEAA.2019.8879330 %K Surface roughness %K Differential equations %K Rough surfaces %K Surface treatment %K Electromagnetic scattering %K Stochastic processes %K Sea surface %Z Engineering Sciences [physics] %Z Engineering Sciences [physics]/ElectromagnetismConference papers %X 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). %G English %L hal-02434616 %U https://hal.science/hal-02434616 %~ UNIV-BREST %~ INSTITUT-TELECOM %~ ENSTA-BRETAGNE %~ CNRS %~ UNIV-UBS %~ ENSTA-BRETAGNE-STIC %~ ENIB %~ LAB-STICC %~ INSTITUTS-TELECOM