We study the temporal profile of the time-resolved four-wave-mixing signal in media with strong polarization interactions, assuming a stochastic modulation of the optical-transition frequency. The model is exactly solvable and interpolates smoothly between Lorentzian (fast modulation) and Gaussian (slow modulation) broadening. We show that recently predicted and observed four-wave-mixing signals persist even in the latter limit, albeit with a different temporal profile.

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PHASE CONJUGATION THROUGH FOUR-WAVE MIXING

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Chaos Solitons & Fractals

Spatio-temporal structures from four-wave mixing and phase modulation

Massimo Brambilla, A. Gatti, Luigi A. Lugiato, Franco Prati

Published Aug 1, 1994• 1 citation

Publisher

DOI: 10.1016/0960-0779(94)90082-5

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Henk F. Arnoldus, Thomas F. George

WORLD SCIENTIFIC eBooksMar 1, 19991 citation

We study phase-conjugate degenerate four-wave mixing (DFWM) in an optically pumped, two-level atomic system (the

3s\phantom{\rule{0.2em}{0ex}}^{2}S_{1∕2}

F=2

, ${m}_{F}=2\ensuremath{\rightarrow}3p\phantom{\rule{0.2em}{0ex}}^{2}P_{3∕2}$,

F=3

{m}_{F}=3

transition in a diffuse, collision-free, thermal beam of sodium) using phase-modulated laser beams. In this investigation, we study the detailed line shape of the four-wave mixing signal as a function of the temporal delay between the probe field and the pump fields at different intensities of the cw pump waves and modulation frequencies. We show that phase modulation of the pump and probe beams leads to strong amplitude modulation of the phase-conjugate beam and report excellent agreement between our experimental observations of the DFWM spectra and the results of numerical calculations. Our numerical results suggest an enhancement of the ``local'' DFWM signal when the sidebands of the phase-modulated laser are resonant with dressed-state transitions, but that this resonance is less obvious in the total signal generated. We also show that the complex line shapes depend sensitively upon the delay of the probe beam, with the peak DFWM signal occurring when the probe beam is advanced compared to the pump beam.