RUSSIAN JOURNAL OF EARTH SCIENCES, VOL. 19, ES1005, doi:10.2205/2019ES000662, 2019


Estimation of the wind-driven wave spectrum using a high spatial resolution coherent radar

A. V. Ermoshkin, I. A. Kapustin

Abstract

The paper deals with experimental determination of the wind-driven wave spectrum by using the remote method of high-resolution coherent radar sensing of the water surface. The method is applied to the conditions of the fetch-limited wind wave growth, which is typical for enclosed waters and the sea nearshore, where the dominant wavelength is of the order of ten meters. The experiments were performed using a coherent X-band panoramic digital radar operating with the horizontal polarization for transmission and reception. The paper considers an algorithm used to form velocity images of the water surface from the data of coherent radar sensing on the basis of the phase angle difference method. The paper shows the possibility to recover wind wave spectra from the data on the Doppler shift of microwave radio waves. A theoretical justification and an experimental verification of the method are provided. Appearance of the third harmonic of the wind waves recovered from the radar sensing data of the spatio-temporal spectra of Doppler velocities is demonstrated for the first time. The functions that relate to the wave elevation spectra and the Doppler velocity spectra are determined. It is shown that the linear free-surface wave approximation is valid for the reconstruction of wave spectra. The temporal and spatial omnidirectional wave spectra obtained in the experiment are described well by the power model functions using the exponent factor of $-4$ and $-5/2$, respectively. The presented results may be used for studies of interaction between the harmonics of wind waves with the bottom topography, wave-current interaction, diagnostic of non-homogeneous currents, and other hydrophysical processes.

Received 13 March 2019; accepted 16 April 2019; published 14 June 2019.


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Citation: Ermoshkin A. V., I. A. Kapustin (2019), Estimation of the wind-driven wave spectrum using a high spatial resolution coherent radar, Russ. J. Earth Sci., 19, ES1005, doi:10.2205/2019ES000662.


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