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ACTA PHOTONICA SINICA

Heterodyne Detection for Rayleigh-Enhanced Four-wave Mixing

Zhang Yangpeng

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

A closed-form solution of the difference-frequency beats and representation of third-order susceptibility for Rayleigh-enhanced four wave mixing were obtained by the method of optical heterodyne-detection.The numerical result illustrate the method can save the complete information of Rayleigh-enhanced polarization.And the physical analysis of the difference based on three Markovian stochastic models are also given.

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A closed-form solution of the difference-frequency beats and representation of third-order susceptibility for Rayleigh-enhanced four wave mixing were obtained by the method of optical heterodyne-detection.The numerical result illustrate the method can save the complete information of Rayleigh-enhanced polarization.And the physical analysis of the difference based on three Markovian stochastic models are also given.
Based on the polarization interference of Raman- and Rayleigh-enhanced four-wave mixing processes, heterodyne detection of the Raman, Rayleigh and coexisting Raman and Rayleigh femtosecond difference-frequency polarization beats is investigated in the cw and the three Markovian stochastic models, respectively. These two processes exhibit asymmetric and symmetric spectra, respectively, and the thermal effect in them can be suppressed by a field-correlation method. Such studies of coexisting Raman- and Rayleigh-enhanced four-wave mixing processes can have important applications in coherence quantum control, and quantum information processing.
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.
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.