Mixing efficiency in heterodyne systems

How the spatial distributions of the signal and local oscillator fields affect the heterodyne signal to noise ratio is examined for both a single detector and an array of detectors. For an array, the distribution of gain among the intermediate frequency (i.f.) amplifiers is included. The emphasis is on understanding why the distributions are important and what is the key to maximizing the signal to noise ratio in any system. It is shown that for a single detector, the highest signal to noise ratio is obtained with a local oscillator (LO) distribution the same as that of the signal. For an array, the product of the i.f. gain times the LO field at each detector has the same distribution as that of the signal field.