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.
© 2005 Optical Society of America
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(300.6290) Spectroscopy : Spectroscopy, four-wave mixing
(320.7110) Ultrafast optics : Ultrafast nonlinear optics
Yanpeng Zhang, Chenli Gan, Jianping Song, Xiaojun Yu, Ruiqiong Ma, Hao Ge, Chuangshe Li, and Keqing Lu, "Attosecond sum-frequency Raman-enhanced polarization beating by use of twin phase-sensitive color locking noisy light beams," J. Opt. Soc. Am. B 22, 694-711 (2005)