Advertisement

Rough Surface Scattering and the Kirchhoff Approximation

  • Diana F. McCammon
  • Suzanne T. McDaniel

Abstract

Most approximate solutions to surface scattering begin with the Kirchhoff approximation to the unknown surface field. The validity of the Kirchhoff approximation is tested in this paper by the use of exact solutions for scattering from a pressure release sinusoid. Rough surfaces are expressed in a Fourier Series, and series solutions for small Rayleigh parameter are derived. The first order series term of Holford, Uretsky and Rayleigh are shown to be identical. Surface radiation patterns for shallow grazing angles are examined and conclusions are drawn on the region of validity of the Kirchhoff approximation.

Keywords

Surface Scattering Periodic Surface Kirchhoff Approximation Rough Surface Scattering Wave Height Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. C. Meecham, “On the Use of the Kirchhoff Approximation for the Solution of Reflection Problems,” J. Ration. Mech. Anal. 5, 323–333 (1956).MathSciNetzbMATHGoogle Scholar
  2. 2.
    R. L. Holford, “Scattering of Sound Waves at a Periodic Pressure-Release Surface: An Exact Solution,” J. Acoust. Soc. Am. 70, 1116–1128 (1981).MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    Lord Rayleigh, Theory of Sound, Dover Publications, New York, 2, 89–96 (1945).zbMATHGoogle Scholar
  4. 4.
    J. L. Uretsky, “The Scattering of Plane Waves From Periodic Surfaces,” Amn. Phys. 33, 400–427 (1965).MathSciNetADSGoogle Scholar
  5. 5.
    W. T. Pierson, “The Theory and applications of ocean wave measuring system at and below the sea surface, on the land, from aircraft and from spacecraft,” NASA Contract Rep CR-2646 NASA, Washington, DC, 305–308 (1976).Google Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • Diana F. McCammon
    • 1
  • Suzanne T. McDaniel
    • 1
  1. 1.Applied Research LaboratoryThe Pennsylvania State UniversityState CollegeUSA

Personalised recommendations