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Journal of Applied Spectroscopy

Dependence of the efficiency of resonant four-wave interaction on the frequency difference of the pumping waves

Anatoly A. Afanas'ev

Published Nov 1, 1982• 0 citations
Publisher
DOI
10.1007/bf00661016

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The influence of magnetic field on the wave-front conjugation at degenerate four-wave mixing in resonant-absorbing atomic iodine va-pors has been studied theoretically. It is shown that depending on the magnitude and direction of the magnetic field, interacting waves pola-rization, as well as on the interaction length and intensity of pump waves, the conjugation efficiency can both increase and decrease. The greatest increase in the wave-front conjugation efficiency of radia-tion with a frequency corresponding to the line centre F =4- r =3 is attained in a transverse magnetic field with the interacting waves polarization orthogonal to the field.
The density-matrix approach, in the quasistatic or adiabatic limit, is applied to the case of resonant four-wave interactions in four-level systems resulting in explicit analytical expressions for the nonlinear optical parametric and nonparametric polarizations, including ac Stark effects. The results are applicable to any closed-linkage diagram of this type but are applied only to the specific case of resonant frequency tripling. The results revealed the presence of up to six Stark-shifted nonparametric resonances and the presence of saturation and interference effects on the parametric susceptibility. In particular, the third-order susceptibility is shown to saturate to a very small value under high-field conditions which restricts the range of useful pump intensities. Under near-resonant to resonant conditions, these imply that because of either nonparametric loss present at the pump or harmonic frequencies or power-dependent dispersive and saturation effects, conversion efficiencies higher than 25% may be difficult to realize in practice.