Soviet Journal of Quantum Electronics

Spatial evolution of wave amplitudes, stability of solutions, and bifurcations in sum and difference frequency generation processes under two-photon resonance conditions

Nikolai E. Kornienko

Published Aug 31, 1985• 1 citation

Abstract

An investigation is made of four-photon sum and difference frequency generation under two-photon resonance conditions allowing for population migration accompanying incoherent processes and for the possibility of a one-photon quasiresonance with the emitted radiation in inverted and uninverted media. A study is made of parametric bleaching of the medium and phase locking of the interacting waves, their stability, and influence on the conversion quantum efficiency η . It is established that resonant parametric processes have a larger region of stability than nonresonant ones. An analysis is made of bifurcation, typical of resonant processes, that strongly influences η . Accurate analytic expressions are derived for the maximum attainable values of η and it is shown that there is an optimum frequency detuning from a one-photon resonance.

DOI: 10.1070/qe1985v015n08abeh007347

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