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[object Object],Dr. Nicolas Pinel , Dr. Christophe Bourlier, Dr. Nicolas Déchamps IREENA Laboratory, Nantes, France E-mail:  [email_address]
Introduction: Context ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],air oil sea scattered power incident power
Introduction: Objective ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1. KA-1+GOA  (Geometric Optics Approx.)   + intuitive approach 2. SSA-1  (Small Slope Approximation) + intuitive approach MoM accelerated by  PILE+FB+NSA [Déchamps et al., IEEE TAP, to be published] cf. oil slick detection
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],II.1. Natural interfaces: Statistical description  12  x  0 Height distribution: p h (  ) Height spectrum:  S(k,  ) usually Gaussian Gaussian p h (  )   0 6  h 6  h x 2 x d L c M 2 M 1 x 1 W( x d ) x d x 1 L c  h 2 /e  h 2 Sea: much more complex…
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],II.1. Natural interfaces: Statistical description
[object Object],[object Object],II.2. Case of sea and oil slick surfaces + Sea surface ,[object Object],[object Object],[object Object],Capillarity waves: - Small roughness   h,s - Small correlation  L c,s Several roughness scales  h,l  h,s L c,s L c,l
[object Object],[object Object],II.2. Case of sea and oil slick surfaces ,[object Object],[object Object],[object Object],Capillarity waves: -  Smaller  roughness   h,s - Small correlation  L c,s air oil slick sea Yet   damping dependent on various parameters ( layer thickness, … ) H  h,l  h,s L c,l + L c,s
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],II.3. Spectrum of clean and contaminated surfaces [1]:  [Lombardini et al., JAOT, 1989] [2]:  [Jenkins and Jacobs, PF, 1997]
[object Object],II.3. Spectrum of clean and contaminated surfaces Parameters relative to oil type:  D , E 0 Gravity waves: Weak damping Capillarity waves: Strong damping Retrieval from experiments in the Sicilian Channel and the Gulf of Maine  [1]:  [Lombardini et al., JAOT, 1989] [3]:  [Pinel et al., TGRS, to be published, 03/2008]
[object Object],[object Object],[object Object],[object Object],II.3. Spectrum of clean and contaminated surfaces Confirmation of damping of small-scale heights Significant damping of slopes Clean sea water  D = 6 rad/s, E 0 = 9 mN/m  D =11 rad/s, E 0 =25 mN/m
[object Object],[object Object],[object Object],III. Case of sea and oil slick surfaces [4]:  [Cox and Munk, JOSA, 1954] Higher damping for Lombardini et al. model Similar qualitative results Oil  -> significant damping of slopes
Outline ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],IV. Application to oil slick radar detection
[object Object],[object Object],IV. Scattering from oil slicks on sea surfaces [5]:  [Déchamps et al., IEEE TAP, to be published] Scattering from oil slicks: Low to moderate thicknesses => 2  identical surfaces Locally plane parallel interfaces => Substitution of the Fresnel reflection coefficient r 12  of the upper interface  with the equivalent reflection coefficient r eq  of the air/oil/sea system Application to an asymptotic method: KA-1+GOA, then SSA-1
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],IV. Numerical results u 10  = 5 m/s  i  = 0 deg. H = {10; 1} mm Surface length L = 250   Sampling step   x =   /10  r sea   = 70 + 41j  r oil   = 2.25 + 0.01j  f  = 3 GHz =>
[object Object],IV. Numerical results Good agreement with reference method around the  specular direction Sea (PILE+FB) Sea ( KA-1+GOA ) Oil+Sea (PILE+FB) Oil+Sea ( KA-1+GOA ) Oil (PILE+FB) Oil ( KA-1+GOA )
[object Object],IV. Numerical results Sea (PILE+FB) ooo Sea ( SSA-1 ) Oil+Sea (PILE+FB) +++  Oil+Sea ( SSA-1 ) Oil (PILE+FB) xxx  Oil ( SSA-1 ) Very good agreement  with reference method for all scattering angles
[object Object],IV. Numerical results Very good agreement  with reference method for all scattering angles Sea (PILE+FB) ooo Sea  (SSA-1 ) Oil+Sea (PILE+FB) +++  Oil+Sea ( SSA-1 ) Oil (PILE+FB) xxx  Oil ( SSA-1 )
[object Object],IV. Numerical results [Pinel et al., TGRS, to be published, 03/2008] Sea (PILE+FB) ooo Sea ( SSA-1 ) Oil+Sea (PILE+FB) +++  Oil+Sea ( SSA-1 ) Oil (PILE+FB) xxx  Oil ( SSA-1 ) Very good agreement  with reference method for all scattering angles
Outline ,[object Object],[object Object],[object Object],[object Object]
Conclusions & Prospects ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],Dr. Nicolas Pinel , Dr. Christophe Bourlier, Dr. Nicolas Déchamps IREENA Laboratory, Nantes, France E-mail:  [email_address]
[object Object],III. Case of sea and oil slick surfaces Stronger damping for Lombardini et al. model [4]:  [Jenkins and Jacobs, Physics Fluids, 1997] [5]:  [Pinel et al., TGRS, to be published, 03/2008] Parameters relative to oil type: 8 parameters (fluid mechanics)  D  = 11 rad/s, E 0  = 25 mN/m Identical Gravity waves: Weak damping Capillarity waves: Strong damping

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