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Optics Communications

Sixth-order correlation on Raman-enhanced polarization beats with phase-conjugation geometry

Yanpeng Zhang, Xun Hou, Keqing Lu, Hongcai Wu

Published Oct 1, 2000• 17 citations
Publisher
DOI
10.1016/s0030-4018(00)00916-0

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Physical Review A•Feb 2, 2009•6 citations
The Raman-enhanced polarization beats (REPB) with phase-conjugation geometry in carbon disulfide are investigated using chaotic and phase-diffusion models. The overall accuracy of using REPB to measure the resonant frequency of Raman-active vibrational mode is determined by the relaxation rates of the Raman mode and the molecular-reorientational grating. Different stochastic models of the laser field only affect the sixth- and fourth-order coherence function. The difference between the REPB and the fourth-order coherence on ultrafast modulation spectroscopy is discussed as well from a physical viewpoint.
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 color-locking noisy field correlation, the subtle Markovian field correlation effects in three stochastic models have been investigated in studying the Raman- and Rayleigh-enhanced four-wave mixing (FWM). Homodyne and heterodyne detections of the Raman attosecond sum-frequency polarization beats (ASPB), the Rayleigh ASPB, and the coexisting Raman and Rayleigh ASPB have also been investigated, respectively. Raman- and Rayleigh-enhanced FWM processes strongly compete with each other in ASPB. The heterodyne detected signal of ASPB potentially offers rich dynamic information about the homogeneous broadening material phase of the third-order nonlinear susceptibility.