Abstract
Perturbative corrections to the Doppler backscattering spectrum using Rayleigh–Rice perturbation theory are examined. For comparison with recent results regarding the validity of perturbation theory in the static limit, calculations using Pierson–Moskowitz and modified Toba spectra to describe the wave height distribution are performed. The order [kh]4 interference term acts to lower the weight associated with the lowest-order delta function peaks at the ‘‘Bragg frequencies’’ for backscattering. Another term of the same order spreads the spectrum away from these delta peaks.
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