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Radio Physics and Radio Astronomy

ISSN Imprimir: 2152-274X
ISSN En Línea: 2152-2758

Archives: Volume 1, 2010 to Volume 3, 2012

Radio Physics and Radio Astronomy

DOI: 10.1615/RadioPhysicsRadioAstronomy.v2.i2.70
pages 139-154

NEAR FIELD-TO-FAR FIELD RELATION IN WAVE BACKSCATTERING BY A STATISTICALLY ROUGH SURFACE

A. S. Bryukhovetsky
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine

SINOPSIS

In the case of wave backscattering by a statistically rough surface, asymptotic representations have been found for the two-fold integrals of rapidly oscillating functions which determine the temporal correlation function of the scattered field. Calculations for grazing angles greatly in excess of the characteristic angular size of the Fresnel zone were performed using the stationary phase method. The obtained solution admits limiting transitions to the values of physical parameters corresponding to the cases of "large" and "small" scattering areas. In the opposite case where grazing angles are much smaller than the Fresnel zone angular size a combined solution has been obtained applying the stationary phase technique with respect to the variable azimuthal angle and the Fraunhofer diffraction approximation with respect to the radial variable. The calculations make it possible to establish relation with the solutions which are based on heuristic simplifying hypotheses.


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