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tracking, climate studies, air-sea interactions, propagation of polluted air masses, CO2 fluxes<br />

(Boutin et al., 2009), assimilation in Numerical Weather Prediction (NWP) models and commercial<br />

applications, like wind energy. An overview of the progress in scatterometry applications<br />

is available in Liu (2002).<br />

16.2 Principle of Function<br />

Radars operate at different sub-bands within the microwave range of the electromagnetic<br />

spectrum (Table 24). Scatterometers are typically operational within the C and Ku subbands.<br />

For these wavelengths and for specific incidence angles, if the surface wave spectrum<br />

contains a component with wavelength similar to the incident radiation then the incident<br />

radar pulse is reflected due to Bragg resonant scattering (Martin, 2004). For more details<br />

on the relation between the sea surface and radar wavelengths see the chapter on SAR from<br />

Hasager and Badger (2013).<br />

Table 24: IEEE standard radar band letter definitions and frequency ranges, taken from IEEE<br />

(2002)<br />

A microwave radar pulse is transmitted towards the Earth’s surface and the reflected signal<br />

is measured. The small scale ripples on the water surface that are generated by the wind<br />

satisfythe wavelengthrequirement for Braggscattering ofthe incidentpulse. From the energy<br />

reflected back to the instrument due to Bragg scattering, the noise signal is defined as the<br />

instrumentnoiseandthenaturalemissivityoftheatmosphere-earthsystematthefrequencyof<br />

the radarpulse. Subtracting the noise signalfrom the total measured reflected signal produces<br />

the backscattered signal which is used to estimate the normalized radar cross section (NRCS)<br />

σ0.<br />

The fraction of the radar signal backscattered to the instrument is mainly a function of<br />

the surface stress. But as surface stress observations are not available for the calibration and<br />

generation of an empirical relationship, the near-surface ocean wind velocity relative to the<br />

orientation of the instrument is used instead. The Geophysical Model Function (GMF) is<br />

the empirical relation between the wind velocity and the normalized radar cross section σ0.<br />

During the decades of scatterometer applications, several GMFs have been developed and are<br />

constantly modified to improve the accuracy of the retrieved winds.<br />

The GMFs are based on the correlation of the measured σ0 at a location with in situ,<br />

modelled and other satellite winds. The general form of a GMF as described in Naderi et al.<br />

(1991), is<br />

σ0 = f (|u|,ξ,...;θ,f,pol). (351)<br />

|u| is the wind speed, ξ the azimuth angle between the wind vector and the incident radar<br />

pulse (noted as χ in Figure 197), θ is the incidence angle of the radar signal measured in the<br />

vertical plane, “f” is the frequency of the radar signal and “pol” its polarization. The term<br />

... accounts for non-wind variables such as long waves, stratification and temperature, the<br />

effects of which are considered small (Naderi et al., 1991).<br />

<strong>DTU</strong> Wind Energy-E-Report-0029(EN) 297

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