Abstract
When two or more transition pathways exist in multi-level systems excited by multiple laser beams, the generated wave-mixing signals, if arranged appropriately in phase-matching conditions and spatial configurations, can have the same frequency and propagate in the same direction. Therefore, the total detected signal, proportional to the total polarization, will have interference terms determined by the relative time delay between different transition pathways. The beating signal in the total polarization (which we refer to as polarization beats) can have a very fast time scale giving by the energy difference between different resonant transition frequencies. In this chapter, we describe how the different order of coherence functions of laser fields can affect the detected polarization beat. Different stochastic models for the laser fields under different conditions are discussed. Experimental results in multilevel atomic systems are presented to illustrate the concept of polarization beats in femtosecond time scale.
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References
Debeer D, Van Wagenen L G, Beach R, et al. Ultrafast modulation spectroscopy. Phys. Rev. Lett. 1986, 56: 1128–1131.
Fu P M, Yu Z H, Mi X, et al. Doppler-free ultrafast modulation spectroscopy with phase-conjugation geometry. Phys. Rev. A, 1994, 50: 698–708.
Fu P M, Mi X, Yu Z H, et al. Ultrafast modulation spectroscopy in a cascade three-level system. Phys. Rev. A, 1995, 52: 4867–4870.
Beach R, Debeer D, Hartmann S R. Time-delayed 4-wave mixing using intense incoherent-light. Phys. Rev. A, 1985, 32: 3467–3474.
Mi X, Yu Z H, Jiang Q, et al. Time-delayed laser-induced double gratings with broadband lights. Opt. Common., 1995, 116: 443–448.
Kirkwood J C, Ulness D J, Albrecht A C. Electronically nonresonant coherent Raman scattering using incoherent light: Two Brownian oscillator approaches. J. Chem. Phys., 1998, 108: 9425–9435.
Mossberg T W, Kachru R, Hartmann S R, et al. Echoes in gaseous media: a generalized theory of rephasing phenomena. Phys. Rev. A, 1979, 20: 1976–1996.
Picinbono B, Boileau E. Higher-order coherence functions of optical field and phase fluctuations. J. Opt. Soc. Am., 1968, 58: 784.
Morita N, Yajima T. Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light. Phys. Rev. A, 1984, 30: 2525–2536.
Mitsunaga M, Brewer R G. Generalized perturbation-theory of coherent optical-emission. Phys. Rev. A, 1985, 32: 1605–1603.
Zhang Y P, Sun L Q, Tang T T, et al. Effects of field correlation on polarization beats. Phys. Rev. A, 2000, 61: 053819.
Do B, Cha J W, Elliott D S, et al. Phase-conjugate four-wave mixing with partially coherent laser fields. Phys. Rev. A, 1999, 60: 508–517.
Anderson M H, Vemuri G, Cooper J, et al. Experimental study of absorption and gain by two-level atoms in a time-delayed non-Markovian optical field. Phys. Rev. A, 1993, 47: 3202–3209.
Chen C, Elliott D S, Hamilton M W. Two-photon absorption from the real Gaussian field. Phys. Rev. Lett., 1992, 68: 3531–3534.
Agarwal G S. Nonlinear spectroscopy with cross-correlated chaotic fields. Phys. Rev. A, 1988, 37: 4741–4746.
Agarwal G S, Kunasz C V. 4-wave mixing in stochastic fields-fluctuation-induced resonances. Phys. Rev. A, 1983, 27: 996–1012.
Mi X, Yu Z H, Jiang Q, et al. Four-level ultrafast modulation spectroscopy. Opt. Common., 1998, 152: 361–364.
Asaka S, Nakatsuka H, Fujiwara M, et al. Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass. Phys. Rev. A, 1984, 29: 2286–2289.
Mi X, Yu Z H, Jiang Q, et al. Time-delayed laser-induced double gratings. J. Opt. Soc. Am. B, 1993, 10: 725–732.
Zhang Y P, Lu K Q, Li C S, et al. Correlation effects of chaotic and phase-diffusion fields on polarization beats in a V-type three-level system. J. Mod. Opt., 2001, 48: 549–564.
Ryan R E, Bergeman T H. Hanle effect in nonmonochromatic laser-light. Phys. Rev. A, 1991, 43: 6142–6155.
Walser R, Ritsch H, Zoller P, et al. Laser-niose-induced population fluctuations in 2-level systems — complex and real gaussian driving fields. Phys. Rev. A, 1992, 45: 468–476.
Ryan R E, Westling L A, Blumel R, et al. 2-Photon spectroscopy: a technique for characterizing diode-laser noise. Phys. Rev. A, 1995, 52: 3157–3169.
Georges A T. Resonance fluorescence in markovian stochastic fields. Phys. Rev. A, 1980, 21: 2034–2049.
Bratfalean R, Ewart P. Spectral line shape of nonresonant four-wave mixing in Markovian stochastic fields. Phys. Rev. A, 1997, 56, 2267–2279.
Ulness D J, Albrecht A C. Four-wave mixing in a Bloch two-level system with incoherent laser light having a Lorentzian spectral density: analytic solution and a diagrammatic approach. Phys. Rev. A, 1996, 53: 1081–1095.
Ulness D J, Albrecht A C. Theory of time resolved coherent Raman scattering with spectrally tailored noisy light. J. Raman Spectrosc., 1997, 28: 571–578.
Demott D C, Ulness D J, Albrecht A C. Femtosecond temporal probes using spectrally tailored noisy quasi-cw laser light. Phys. Rev. A, 1997, 55: 761–771.
Ulness D J, Kirkwood J C, Albrecht A C. Competitive events in fifth order time resolved coherent Raman scattering: Direct versus sequential processes. J. Chem. Phys., 1998, 108: 3897–3902.
Kirkwood J C, Albrecht A C, Ulness D J, et al. Coherent Raman scattering with incoherent light for a multiply resonant mixture: a factorized time correlator diagram analysis. Phys. Rev. A, 1998, 58: 4910–4925.
Kirkwood J C, Albrecht A C, Ulness D J. Fifthorder nonlinear Raman processes in molecular liquids using quasi-cw noisy light. J. Chem. Phys., 1999, 111: 253–271.
Kirkwood J C, Albrecht A C. Down-conversion of electronic frequencies and their dephasing dynamics: interferometric four-wave-mixing spectroscopy with broadband light. Phys. Rev. A, 2000, 61: 033802.
Ma H, De Araujo C B. Interference between 3rd-order and 5th-order polarizations in semiconductor-doped glasses. Phys. Rev. Lett., 1993, 71: 3649–3652.
Ma H, Acioli L H, Gomes A S L, et al. Method to determine the phase dispersion of the 3rd-order susceptibility. Opt. Lett., 1991, 16: 630–632.
Zhang Y P, De Araujo C B, Eyler E E. Higher-order correlation on polarization beats in Markovian stochastic fields. Phys. Rev. A, 2001, 63: 043802.
Golub J E, Mossberg T W. Studies of picosecond collisional dephasing in atomic sodium vapor using broad-bandwidth transient 4-wave-mixing. J. Opt. Soc. Am. B, 1986, 3: 554–559.
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(2009). Femtosecond Polarization Beats. In: Multi-Wave Mixing Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89528-2_2
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DOI: https://doi.org/10.1007/978-3-540-89528-2_2
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