An analysis is made of the generation of harmonics and of many-quantum processes (more than three quanta) in a specified field of laser radiation. Different statistics of the mode phases are considered and the absence of saturation effects is assumed. General relationships are derived for the calculation of the efficiency η k of a nonlinear k-th order process in the case of arbitrary numbers of locked and nonlocked modes. It is shown that mode locking increases considerably the value of η k . Precise values of η k are found for third- and fourth-order processes in the case of mode locking and up to sixth order in the absence of such locking.
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Tomov et al. (1971) studied this question.