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Optics Communications

Radiation–matter oscillations in attosecond polarization beats using twin color-locked noisy lights

Feng Yu, Jianping Song, Zhang Yan-Peng, Keqing Lu

Published Jul 22, 2005• 1 citation
Publisher
DOI
10.1016/j.optcom.2005.07.011

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Based on color-locking noisy field correlation, a time-delayed method is proposed to suppress the thermal effect, and the ultrafast longitudinal relaxation time can be measured even in an absorbing medium. One interesting feature in field-correlation effects is that Rayleigh-enhanced four-wave mixing (RFWM) with color-locking noisy light exhibits spectral symmetry and temporal asymmetry with no coherence spike at $\ensuremath{\tau}=0$. Due to the interference between the Rayleigh-resonant signal and the nonresonant background, RFWM exhibits hybrid radiation-matter detuning with terahertz damping oscillations. The subtle Markovian high-order correlation effects have been investigated in the homodyne- or heterodyne-detected Rayleigh-enhanced attosecond sum-frequency polarization beats (RASPBs). Analytic closed forms of fourth-order Markovian stochastic correlations are characterized for homodyne (quadratic) and heterodyne (linear) detection, respectively. Based on the polarization interference between two four-wave mixing processes, the phase-sensitive detection of RASPBs has also been used to obtain the real and imaginary parts of the Rayleigh resonance.
Based on three stochastic models, the subtle, Markovian field-correlation effects have been investigated in homodyne-detected attosecond sum-frequency Raman-enhanced polarization beating (REPB) and heterodyne-detected femtosecond difference-frequency REPB. The different roles of the amplitude fluctuations and the phase fluctuations have been pointed out in both time and frequency domains. Analytic closed forms of the sixth-order and fourth-order Markovian stochastic correlations are characterized for homodyne (quadratic) and heterodyne (linear) detection, respectively. The attosecond sum-frequency REPB signal shows resonant-nonresonant cross correlation, asymmetric temporal behavior, and drastic difference for three Markovian stochastic fields, and the autocorrelation of REPB exhibits hybrid-radiation-matter-detuning-terahertz damping oscillation. The phase-diffusion model predicts a damping oscillation of the signal around a constant value in the narrowband case. The heterodyne-detected signal of REPB potentially offers rich dynamic information about the homogeneous, broadening, material phase of the third-order nonlinear susceptibility.
Based on the phase-conjugate polarization interference between two-pathway excitations, we obtained an analytic closed form for the second-order or fourth-order Markovian stochastic correlation of the V three-level sum-frequency polarization beat (SFPB) in attosecond scale. Novel interferometric oscillatory behavior is exposed in terms of radiation-radiation, radiation-matter, and matter-matter polarization beats. The phase-coherent control of the light beams in the SFPB is subtle. When the laser has broadband linewidth, the homodyne detected SFPB signal shows resonant-nonresonant cross correlation, a drastic difference for three Markovian stochastic fields, and the autocorrelation of the SFPB exhibits hybrid radiation-matter detuning terahertz damping oscillation. As an attosecond ultrafast modulation process, it can be extended intrinsically to any sum frequency of energy levels. It has been also found that the asymmetric behaviors of the polarization beat signals due to the unbalanced controllable dispersion effects between the two arms of interferometer do not affect the overall accuracy in case using the SFPB to measure the Doppler-free energy-level sum of two excited states.