Advertisement

Izvestiya, Atmospheric and Oceanic Physics

, Volume 42, Issue 5, pp 632–636 | Cite as

Determination of the distribution density of specular points on the sea surface: Formulation of the inverse problem

  • R. G. Gardashov
Article

Abstract

With reference to the model of a random Gaussian homogeneous cylindrical (one-dimensional) sea surface z = ζ(x), the inverse problem is formulated in the form of the integral Fredholm equation of the first kind to determine the distribution density of the number of specular points on the sea surface. The kernel of the equation is determined in terms of the Fourier transform of the distribution density of radii of surface curvature at the points of specular reflection. The equation derived by the author earlier for the distribution density and written for the dimensionless radius of curvature contains no parameters, a result that is indicative of the universal character of this distribution for an arbitrary Gaussian surface. The validity of the original formulas obtained in this paper was verified by simulations.

Keywords

Inverse Problem Distribution Density Characteristic Function Oceanic Physic Geometrical Optic 
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.
    Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Nauka, Moscow, 1980; Springer, Berlin, 1990).Google Scholar
  2. 2.
    F. G. Bass and I. M. Fuchs, Wave Scattering from Statistically Rough Surfaces (Nauka, Moscow, 1972; Pergamon, Oxford, 1978).Google Scholar
  3. 3.
    K. S. Shifrin and R. G. Gardashov, “Model Computations of Light Reflection from the Sea Surface,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 21, 162–169 (1985).Google Scholar
  4. 4.
    T. G. Gardashova and R. G. Gardashov, “Simulation of Statistical Characteristics of Light Reflected by the Sea Surface,” Izv. Akad. Nauk, Fiz. Atmos. Okeana 37, 74–84 (2001) [Izv., Atmos. Ocean. Phys. 37, 67–77 (2001)].Google Scholar
  5. 5.
    A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems (Winston, Washington, DC, 1977).Google Scholar
  6. 6.
    R. G. Gardachov, “The Probability Density of the Total Curvature of a Uniform Random Gaussian Sea Surface,” Int. J. Remote Sensing 21, 2917–2926 (2000).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • R. G. Gardashov
    • 1
  1. 1.Istanbul UniversityTurkey

Personalised recommendations