We investigate the theory of cancellation by interference between the absorption of three fundamental laser photons and one third-harmonic photon. The theory is formulated in terms of the density matrix so as to take detunings, dephasing, and and laser bandwidth into account. The result is a theory of cancellation for finite detuning that explains how four-photon resonances can be canceled by a three-photon mechanism, if there is an atomic level at near three-photon resonance. We obtain explicit conditions for this to happen, and perform calculations pertaining to a recent experiment [D. Charalambdis et al., Phys. Rev. A (to be published)] where cancellation of 4+1 resonantly enhanced multiphoton ionization has been observed.
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Elk et al. (1991) studied this question.
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