EFFECTS OF STATIC AMPLITUDE AND PHASE ERRORS A fundamental equation defining the radiated field produced by a steady state sinusoidal field distribution on a transmitter aperture is given by the approximate relationship: where U(X0, Yo) is the field variable at the receiver, U(XpYj) is the field variable at the transmitter, Z is the separation between the transmitter and receiver, and is the wavelength of the exciting field. The approximation is valid even within the Fresnel zone (reference 22) provided, is the actual field distribution which includes a quadratic focusing factor. For computational purposes the quadratic focusing factor can be ignored as it has already been accounted for in deriving (6). This relation can be used to determine the power distribution at the receiver for any arbitrary choice of amplitude and phase distributions at the transmitter. By adding appropriate spatially dependent perturbations on amplitude and phase, the effects of specific errors in amplitude and phase can be determined. And by repeating the process in a Monte Carlo fashion, one can arrive at a statistical description of effects of amplitude and phase errors.
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