In order to measure currents, the CODAR equipment computes three components: • the velocity of incoming waves in the radial direction • the distance from the radar equipment to the evaluated ocean sector • the angle the waves are traveling relatively to the CODAR station
Computation of the radial velocity of currents The signal sent from the CODAR antenna has a known frequency and it moves at the
speed of light. Therefore, the wavelength of the signal is known (wavelength = speed of light / frequency). Exploiting Bragg’s Law, CODAR maximizes the scattered HF signal, given that the resonance will only occur for the given wavelength:
λs = λt / (2 * cos(φ) ) where
λs is the wavelength of surface ocean wave,
λt is the wavelength of transmitted signal and
φ is the angle of incidence between the signal and the ocean surface As the CODAR antennas are usually placed at sea level, the angle of incidence theta can be assumed to be zero. Therefore, the equation reduces to:
λs = λt / 2 This means that when the emitted signal hits waves with wavelength equal to one-half of the transmitted signal, the signal that is scattered back to the antenna will be in phase. Therefore, these waves will produce a scattered signal “stronger” and thus easily identifiable, which is measured by the CODAR system. Thus, the current speed is extracted by determining the Doppler Shift of the waves. However, the above equations represent a simplified model, as they assume that the reflecting waves are not moving. This is of course untrue and, because of the motion, the frequency of the scattered signal (and therefore its wavelength) is not the same as that of the transmitted signal. In fact, “waves moving toward the receiver increase the return frequency, while waves moving away decrease the return frequency”. In 2010, retailers of modern CODAR equipments guarantee an accuracy typically < 7 cm/s of the total current velocity and 1–2 cm of the tidal component, in normal environment condition. However, the accuracy of the system depends on several factors, such as signal-to-noise ratios, geometry and pointing errors. == Limitations ==