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New derivation for the rough-surface reflection coefficient and for the distribution of sea-wave elevations

New derivation for the rough-surface reflection coefficient and for the distribution of sea-wave elevations

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In the paper a derivation of the rough-surface reflection coefficient for the coherent reflected field is given. The result obtained assumes a plane wavefront incident on a Gaussian collection of sinusoidal surface waves with uniform phase distribution. The theoretical results obtained is compared with experimental data. In addition, the probability density function of sea-wave elevations is obtained.

References

    1. 1)
      • Brown, R.M., Miller, A.R.: `Geometric-optics theory for coherent scattering of microwaves from the ocean surface', 7705, NRL Report, 1974.
    2. 2)
      • W.S. Ament . Toward a theory of reflection by a rough surface. Proc. IRE. , 142 - 146
    3. 3)
      • B. Kinsman . (1965) , Wind waves.
    4. 4)
      • C.J. Beard . Coherent and incoherent scattering of microwaves from the ocean. IRE Trans. , 470 - 483
    5. 5)
      • O.M. Phillips . (1977) , The dynamics of the upper ocean.
    6. 6)
      • I.S. Gradshteyn , I.M. Ryzhik . (1965) , Tables of integrals, series and products.
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