56
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Analytical comparison between the surface current integral equation and the second-order small-slope approximation

, , &
Pages 165-176 | Received 24 Jan 2003, Published online: 15 Aug 2006

References

  • Elfouhaily , T , Thompson , D R , Chapron , B and Vandemark , D . 1999 . A new bistatic model for electromagnetic scattering from perfect conducting random surfaces . Waves Random Media , 9 : 281 – 94 .
  • Elfouhaily , T , Thompson , D R , Freund , D E , Vandemark , D and Chapron , B . 2001 . A new bistatic model for electromagnetic scattering from perfectly conducting random surfaces: numerical evaluation and comparison with SPM . Waves Random Media , 11 : 33 – 43 .
  • McDaniel , S T . 1999 . Convergence of solutions to the rough-surface scattering problem . Waves Random Media , 9 : 401 – 13 .
  • Voronovich , A G . 1994 . Wave Scattering from Rough Surfaces, , 2nd edn , 236 Heidelberg : Springer .
  • Toporkov , J V and Brown , G S . 2002 . Numerical study of the extended Kirchhoff approach and the lowest order small slope approximation for scattering from ocean-like surfaces: Doppler analysis . IEEE Trans. Antennas Propag. , 50 : 417 – 25 .
  • Voronovich , A G . 1994 . Small-slope approximation for electromagnetic wave scattering at a rough interface of two dielectric half-spaces . Waves Random Media , 4 : 337 – 67 .
  • Álvarez-Pérez , J L . 2001 . An extension of the IEM/IEMM surface scattering model . Waves Random Media , 11 : 307 – 29 .
  • Dashen , R and Wurmser , D . 1991 . Applications of the new scattering formalism: the Dirichlet boundary condition . J. Math. Phys. , 32 : 997 – 1003 .
  • Milder , D M . 1991 . An improved formalism for wave scattering from rough surface . J. Acoust. Soc. Am. , 89 : 529 – 41 .
  • Milder , D M . 1996 . An improved formalism for electromagnetic scattering from a perfectly conducting rough surface . Radio Sci. , 31 : 1369 – 76 .
  • Shen , J and Maradudin , A A . 1980 . Multiple scattering of waves from random rough surfaces . Phys. Rev. B , 22 : 4234 – 40 .
  • Voronovich , A G and Zavorotny , V U . 2001 . Theoretical model for scattering of radar signals in Ku- and C-bands from a rough sea surface with breaking waves . Waves Random Media , 11 : 247 – 69 .
  • Shaw , W T and Dougan , A J . 1995 . Half-space Green's functions and applications to scattering of electromagnetic waves from ocean-like surfaces . Waves Random Media , 5 : 341 – 59 .
  • Berman , D H and Perkins , J S . 1985 . The Kirchhoff approximation and first-order perturbation theory for rough surface scattering . J. Acoust. Soc. Am. , 78 : 1045 – 51 .
  • Dashen , R and Wurmser , D . 1991 . A new theory for scattering from a surface . J. Math. Phys. , 32 : 971 – 85 .
  • Coifman , R , Goldberg , M , Hrycak , T , Israeli , M and Rokhlin , V . 1999 . An improved operator expansion algorithm for direct and inverse scattering computations . Waves Random Media , 9 : 441 – 57 .
  • Thorsos , E I . 1988 . The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum . J. Acoust. Soc. Am. , 83 : 78 – 9 .
  • Rodriguez , E . 1989 . Beyond the Kirchhoff approximation . Radio Sci. , 24 : 681 – 93 .
  • Rodriguez , E . 1991 . Beyond the Kirchhoff approximation II electromagnetic scattering . Radio Sci. , 26 : 121 – 32 .
  • Lynch , P J . 1970 . Curvature corrections to rough surface scattering at high frequencies . J. Acoust. Soc. Am. , 47 : 804 – 15 .
  • Ivanova , K , Michalev , M A and Yordanov , O I . 1991 . Numerical study of scattering by rough surfaces with intermediate and large scale roughness . Radio Sci. , 26 : 505 – 10 .
  • Dashen , R and Wurmser , D . 1991 . Approximate representations of the scattering amplitude . J. Math. Phys. , 32 : 986 – 96 .
  • Thompson , D R , Elfouhaily , T and Gasparovic , R . Polarization dependence of GPS signals reflected from the ocean . IGARSS'00 . Honolulu, USA. Vol. 7 , pp. 3099 – 101 . Piscataway, NJ : IEEE .
  • Elfouhaily , T , Thompson , D and Linstrom , L . 2002 . Delay-Doppler analysis of bistatically reflected signals from the ocean surface: theory and application . IEEE Trans. Geosci. Remote Sens. , 40 : 560 – 73 .
  • Ivanova , K and Broschat , S L . 1993 . The method of the local parabolic approximation for rough surface scattering . J. Acoust. Soc. Am. , 94 : 2326 – 33 .
  • Elfouhaily , T , Thompson , D R , Chapron , B and Vandemark , D . 2001 . Higher-order hydrodynamic modulation: theory and applications for ocean waves . Proc. R. Soc. A , 457 : 2585 – 608 .
  • Johnson , J T and Cai , Y . 2002 . A theoretical study of sea surface up/down wind brightness temperature differences . IEEE Trans. Geosci. Remote Sens. , 40 : 66 – 78 .
  • Longuet-Higgins , M S . 1963 . The effects of non-linearities on statistical distribution in the theory of sea waves . J. Fluid Mech. , 17 : 459 – 80 .
  • Elfouhaily , T , Thompson , D R , Chapron , B and Vandemark , D . 2000 . Improved electromagnetic bias theory . J. Geophys. Res. , 105 : 1299 – 310 .
  • Elfouhaily , T , Thompson , D R , Chapron , B and Vandemark , D . 2001 . Improved electromagnetic bias theory: inclusion of hydrodynamic modulations . J. Geophys. Res. , 106 : 4655 – 64 .
  • Elfouhaily , T , Guignard , S and Thompson , D R . 2003 . Waves Random Media , 13 : L1 – L6 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.