24
Views
3
CrossRef citations to date
0
Altmetric
Articles

The Local Spectral Expansion Method for Scattering From Perfectly Conducting Surfaces Rough in One Dimension

&
Pages 37-63 | Published online: 03 Apr 2012

References

  • Nieto-Vesperinas , M. and Garcia , N. 1981 . A detailed study of the scattering of scalar waves from random rough surfaces . Opt. Acta. , 28 ( No. 12 ) : 1651 – 1672 .
  • Nieto-Vesperinas , M. 1982 . Depolarization of electromagnetic waves scattered from slightly rough random surfaces: a study by means of the extinction theorem . J. Opt. Soc. Am. , 72 ( No. 5 ) : 539 – 547 .
  • Beckmann , P. and Spizzichino , A. 1963 . The Scattering of Electromagnetic Waves From Rough Surfaces , New York : Pregamon Press, The Macmillan Co .
  • Thorsos , E. I. 1988 . The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum . J. Acoust. Soc. Am. , 83 ( No. 1 ) : 78 – 92 .
  • Thorsos , E. I. and Jackson , D. R. 1989 . The validity of the perturbation approximation for rough surface scattering using a Gaussian roughness spectrum . J. Acoust. Soc. Am. , 86 ( No. 1 ) : 261 – 277 .
  • Soto-Crespo , J. M. , Nieto-Vesperinas , M. and Friberg , T. 1990 . Scattering from slightly rough random surfaces: a detailed study on the validity of the small perturbation method . J. Opt. Soc. Am. A7 , : 1185 – 1201 .
  • Sanchez-Gil , J. A. and Nieto-Vesperinas , M. 1991 . Light scattering from random rough dielectric surfaces . J. Opt. Soc. Am. A , 8 ( No. 8 ) : 1270 – 1286 .
  • Chen , M. F. and Fung , A. K. 1988 . A numerical study of the regions of validity of the Kirchhoff approximation and small perturbation rough surface scattering models . Radio Science , 23 : 163 – 170 .
  • Thorsos , E. I. and Jackson , D. R. 1991 . Studies of scattering theory using numerical methods . Waves in Random Media , 3 : s165 – s190 .
  • Winebrenner , D. P. and Ishimaru , A. 1985 . Application of the phase-perturbation technique to randomly rough surfaces . J. Opt. Soc. Am. A , 2 ( No. 12 ) : 2285 – 2293 .
  • Voronovich , A. G. 1985 . Small-slope approximation in wave scattering by rough surfaces . Sov. Phys. JETP , 62 ( No. 1 ) : 65 – 70 .
  • Voronovich , A. G. 1994 . Wave Scattering from Rough Surfaces , Berlin Heidelberg : Springer Verlag .
  • Thorsos , E. I. and Broschat , S. L. 1995 . An investigation of the small slope approximation for scattering from rough surfaces. Part I. theory . J. Acoust. Soc. Am. , 97 ( No. 4 ) : 2082 – 2093 .
  • 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 ( No. 3 ) : 1045 – 1051 .
  • Bahar , E. and Rajan , G. G. 1979 . Deloparization and scattering of electromagnetic waves by irregular boundaries for arbitrary incident and scatter angles - full wave solutions . IEEE Trans. Antennas Propagat. , Ap ( No. 27 ) : 214 – 225 .
  • Bahar , E. 1981 . Full-wave solutions for the depolarization of the scattered radiation fields by rough surfaces of arbitrary slope . IEEE Trans. Antennas Propagat. , Ap ( No. 29 ) : 443 – 454 .
  • Collin , R. E. 1992 . Electromagnetic scattering from perfectly conducting rough surfaces (a new full wave method) . IEEE Trans. Antennas Propagat. , 40 ( No. 12 ) : 1466 – 1477 .
  • Collin , R. E. 1994 . Full wave theories for rough surface scattering: an updated assessment . Radio Sci. , 29 ( No. 5 ) : 1237 – 1254 .
  • Thorsos , E. I. and Winebrenner , D. P. 1991 . An examination of the 'full-wave' method for rough surface scattering in the case of small roughness . J. of Geophysical Research , 96 ( No. 9 ) : 17107 – 17121 .
  • Nieto-Vesperinas , M. 1991 . Scattering and Diffraction in Physical Optics , New York : John Wiley and Sons, Inc .
  • Papoulis , A. 1991 . Probability, Random Variables, and Stochastic Processes , 3rd Ed. , McGraw-Hill, Inc .
  • Thorsos , E. I. private communication
  • Broschat , S. L. , Thorsos , E. I. and Ishimaru , A. 1990 . A heuristic algorithm for the bistatic radar cross section for random rough surface scattering . IEEE Trans. Geosci. Rem. Sens. , 28 ( No. 2 ) : 202 – 206 .
  • Ishimaru , A. and Chen , J. S. 1990 . Scattering from very rough surfaces based on the modified second-order Kirchhoff approximation with angular and propagation shadowing . J. Acoust. Soc. Am. , 88 ( No. 4 ) : 1877 – 1883 .
  • Berman , D. H. 1991 . Simulations of rough surface scattering . J. Acoust. Soc. Am. , 89 ( No. 2 ) : 623 – 636 .
  • Broschat , S. L. 1993 . The small slope approximation reflection coefficient for scattering from a 'Pierson-Moskowitz' sea surface . IEEE Trans. Geosci. Rem. Sens. , 31 ( No. 5 ) : 1112 – 1114 .
  • Yang , T. and Broschat , S. L. 1992 . A comparison of scattering model results for two-dimensional randomly rough surfaces . IEEE Trans. Antennas. Propagat. , 40 ( No. 12 ) : 1505 – 1512 .
  • Berman , D. H. and Dacol , D. K. 1990 . Manifestly reciprocal scattering amplitudes for rough surface scattering . J. Acoust. Soc. Am. , 87 ( No. 5 ) : 2024 – 2032 .

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.