Abstract

The work of Fu et al. regarding temporal signal behavior in noisy light-induced, Raman-enhanced, nondegenerate four-wave mixing (I(2)RENFWM) is reassessed using factorized time correlation (FTC) analysis. Close correspondence is observed between the FTC predictions and the prior analysis. Strikingly, the observed experimental and theoretical behavior of the I(2)RENFWM signal is largely captured by a single FTC diagram, from which physical insight can be obtained.

© 2006 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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2005 (4)

P. P. Aung, K. M. Cosert, L. R. Weisel, T. F. Schulz, M. W. Gealy, and D. J. Ulness, "Effects of beam polarization on coherent anti-Stokes Raman scattering using noisy light," J. Raman Spectrosc. 36, 409-419 (2005).
[CrossRef]

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Coherent laser control in attosecond sum-frequency polarization beats using twin noisy driving fields," Phys. Rev. A 71, 023802 (2005).
[CrossRef]

Y. Zhang, C. Gan, L. Li, R. Ma, J. Song, T. Jiang, X. Yu, C. Li, H. Ge, and K. Lu, "Rayleigh-enhanced attosecond sum-frequency polarization beats via twin color-locking noisy lights," Phys. Rev. A 72, 013812 (2005).
[CrossRef]

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Attosecond sum-frequency Raman-enhanced polarization beating by use of twin phase-sensitive color locking noisy beams," J. Opt. Soc. Am. B 22, 694-711 (2005).
[CrossRef]

2004 (1)

Y. Zhang, C. Gan, C. Li, K. Lu, X. Hou, and J. Stanojevic, "Twin Markovian field correlation on four-level attosecond polarization beats," J. Phys. B 37, 1751-1781 (2004).
[CrossRef]

2003 (3)

D. B. Turner and D. J. Ulness, "Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light," J. Chem. Phys. 119, 10745-10752 (2003).
[CrossRef]

D. P. Biebighauser, J. Gregoire, and D. J. Ulness, "General counting formulae for factorized time correlation diagram analysis," Physica A 320, 1-10 (2003).
[CrossRef]

D. J. Ulness, "On the role of classical field time correlations in noisy light spectroscopy: color locking and a spectral filter analogy," J. Phys. Chem. A 107, 8111-8123 (2003).
[CrossRef]

2002 (3)

D. P. Biebighauser, D. B. Turner, and D. J. Ulness, "Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions," Phys. Rev. E 65, 26142-1-12 (2002).
[CrossRef]

Y. Zhang, C. Gan, K. Lu, C. Li, and X. Hou, "Raman-enhanced polarization beats in Markovian stochastic fields," Opt. Commun. 205, 163-186 (2002).
[CrossRef]

Y. Zhang, C. Gan, S. M. Farooqi, K. Lu, X. Hou, and T. Tang, "Four-level polarization beats with broadband noisy light," J. Opt. Soc. Am. B 19, 1204-1215 (2002).
[CrossRef]

2001 (3)

2000 (7)

V. P. Kozich, L. S. de Menezes, and C. B. de Araujo, "Interferometric effects in time-delayed degenerate four wave mixing with broadband noisy light," J. Opt. Soc. Am. B 17, 973-976 (2000).
[CrossRef]

S. V. Rao, N. K. M. Naga Srinivas, D. N. Rao, L. Giribabu, B. G. Maiya, R. Philip, and G. R. Kumar, "Excited state dynamics in tetra tolyl porphyrins studied using degenerate four wave mixing with incoherent light and ps pulses," Opt. Commun. 182, 255-264 (2000).
[CrossRef]

J. C. Kirkwood and A. C. Albrecht, "Down-conversion of electronic frequencies and their dephasing dynamics: interferometric four-wave-mixing spectroscopy with broadband light," Phys. Rev. A 61, 033802-1-14 (2000).
[CrossRef]

Y. Zhang, X. Hou, K. Lu, and H. Wu, "Sixth-order correlations on Raman-enhanced polarization beats with phase-conjugation geometry," Opt. Commun. 184, 265-276 (2000).
[CrossRef]

Y. Zhang, T. T. Tang, L. Q. Sun, and P. M. Fu, "Effects of fourth-order coherence on ultrafast modulation spectroscopy," Phys. Rev. A 61, 023809-1-7 (2000).
[CrossRef]

Y. Zhang, C. B. de Araújo, and E. E. Eyler, "Higher-order correlation on polarization beats in Markovian stochastic fields," Phys. Rev. A 63, 043802 (2000).
[CrossRef]

Y. Zhang, L. Q. Sun, T. T. Tang, and P. M. Fu, "Effects of field correlation on polarization beats," Phys. Rev. A 61, 053819 (2000).
[CrossRef]

1999 (3)

V. P. Kozich, A. Lau, M. Pfeiffer, and A. Kummrow, "Determination of damped molecular rotation in the liquid phase using interferometric coherent Raman scattering," J. Raman Spectrosc. 30, 473-477 (1999).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Time-frequency resolved coherent Raman scattering from molecular liquids and their mixtures with quasi-cw noisy light: I(2)CRS spectrograms," Laser Chem. 19, 11-18 (1999).
[CrossRef]

D. J. Ulness, J. C. Kirkwood, A. C. Albrecht, and M. J. Stimson, "Raman spectrograms for high sensitivity probing of nonlinear hyperpolarizabilities and C-H stretching frequency shifts in acetonitrile/water liquid mixtures," Asian J. Phys. 7, 405-419 (1999).

1998 (3)

J. C. Kirkwood, M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Coherent Raman scattering with incoherent light for a multiply resonant mixture: a factorized time correlator diagram analysis," Phys. Rev. A 58, 4910-4925 (1998).
[CrossRef]

M. Pfeiffer and A. Lau, "Femtosecond fifth-order nonlinear response of nuclear motion in liquids investigated by incoherent laser light. Part I. Theory," J. Chem. Phys. 108, 4159-4172 (1998).
[CrossRef]

S. V. Rao and D. N. Rao, "Excited state dynamics of C60 studied using incoherent light," Chem. Phys. Lett. 283, 227-230 (1998).
[CrossRef]

1997 (6)

D. N. Rao, S. V. Rao, F. J. Aranda, D. V. G. L. N. Rao, M. Nakashima, and J. A. Akkara, "Ultrafast relaxation times of metalloporphyrins by time-resolved degenerate four-wave mixing with incoherent light," J. Opt. Soc. Am. B 14, 2710-2715 (1997).

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Interferometric down-conversion of high frequency molecular vibrations with time-frequency resolved coherent Raman scattering using quasi-continuous-wave noisy light: C-H stretching modes of chloroform and benzene," J. Phys. Chem. A 101, 4587-4591 (1997).
[CrossRef]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency resolved interferometric coherent Raman spectroscopy with incoherent light: Raman frequency shifts, dephasing rate constants and nonresonant hyperpolarizabilities of mixtures of benzene in hexane," Chem. Phys. 222, 17-28 (1997).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Direct observation of the resonant-nonresonant cross-term contribution to coherent Raman scattering of quasi-CW noisy light in molecular liquids," J. Raman Spectrosc. 28, 917-925 (1997).
[CrossRef]

D. J. Ulness and A. C. Albrecht, "Theory of time resolved coherent Raman scattering with spectrally tailored noisy light," J. Raman Spectrosc. 28, 571-578 (1997).
[CrossRef]

Z. Yu, X. Mi, Q. Jiang, X. Li, and P. Fu, "Field-correlation effects of Raman-enhanced nondegenerate four-wave mixing," Phys. Rev. A 55, 2334-2339 (1997).
[CrossRef]

1996 (3)

A. Kummrow and A. Lau, "Dynamics in condensed molecular systems studied by incoherent light," Appl. Phys. B 63, 209-223 (1996).

D. J. Ulness and A. C. Albrecht, "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 53, 1081-1095 (1996).
[CrossRef] [PubMed]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency and time resolved coherent Stokes Raman scattering in CS2 using incoherent light," Chem. Phys. Lett. 263, 185-190 (1996).
[CrossRef]

1995 (1)

S. A. Schaertel, D. Lee, and A. C. Albrecht, "Study of polarization CRS and polarization ICRS with application to benzene," J. Raman Spectrosc. 26, 889-899 (1995).
[CrossRef]

1994 (1)

S. A. Schaertel, A. C. Albrecht, A. Lau, and A. Kummrow, "Interferometric coherent Raman spectroscopy with incoherent light: some applications," Appl. Phys. B 59, 377-387 (1994).
[CrossRef]

1993 (1)

X. Mi, Z. Yu, Q. Jiang, and P. Fu, "Time-delayed Raman-enhanced nondegenerate four-wave mixing with a broadband laser source," Phys. Rev. A 48, 3203-3208 (1993).
[CrossRef] [PubMed]

1992 (2)

P. Fu, Z. Yu, X. Mi, Q. Jiang, and Z. Zhang, "Theoretical study of the suppression of thermal background in the Raman-enhanced nondegenerate four-wave mixing spectrum by a time-delayed method," Phys. Rev. A 46, 1530-1539 (1992).
[CrossRef] [PubMed]

A. Lau, M. Pfeiffer, and W. Werncke, "New time-resolved CARS arrangements," Nuovo Cimento 14, 1023-1032 (1992).
[CrossRef]

1991 (2)

M. A. Dugan and A. C. Albrecht, "Radiation-matter oscillations and spectral line narrowing in field-correlated four-wave mixing. I. Theory," Phys. Rev. A 43, 3877-3921 (1991).
[CrossRef] [PubMed]

M. A. Dugan and A. C. Albrecht, "Radiation-matter oscillations and spectral line narrowing in field-correlated four-wave mixing. II. Experiment," Phys. Rev. A 43, 3922-3933 (1991).
[CrossRef] [PubMed]

1988 (1)

M. A. Dugan, J. S. Melinger, and A. C. Albrecht, "Terahertz oscillations from molecular liquids in CSRS/CARS spectroscopy with incoherent light," Chem. Phys. Lett. 147, 411-419 (1988).
[CrossRef]

1986 (1)

S. Mukamel and E. Hanamura, "Four-wave mixing using partially coherent fields in systems with spatial correlations," Phys. Rev. A 33, 1099-1108 (1986).
[CrossRef] [PubMed]

1984 (3)

N. Morita and T. Yajima, "Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light," Phys. Rev. A 30, 2525-2536 (1984).
[CrossRef]

S. Asaka, N. Nakatsuka, M. Fujiwara, and M. Matsuoka, "Accumulated photon echoes with incoherent light inNd3+ -doped silicate glass," Phys. Rev. A 29, 2286-2289 (1984).
[CrossRef]

R. Beach and S. R. Hartmann, "Incoherent photon echoes," Phys. Rev. Lett. 53, 663-666 (1984).
[CrossRef]

1981 (1)

E. Hanamura, "Coherent and incoherent laser spectroscopy of spatial and temporal fluctuations," Solid State Commun. 51, 697-700 (1981).
[CrossRef]

Akkara, J. A.

Albrecht, A. C.

J. C. Kirkwood and A. C. Albrecht, "Down-conversion of electronic frequencies and their dephasing dynamics: interferometric four-wave-mixing spectroscopy with broadband light," Phys. Rev. A 61, 033802-1-14 (2000).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Time-frequency resolved coherent Raman scattering from molecular liquids and their mixtures with quasi-cw noisy light: I(2)CRS spectrograms," Laser Chem. 19, 11-18 (1999).
[CrossRef]

D. J. Ulness, J. C. Kirkwood, A. C. Albrecht, and M. J. Stimson, "Raman spectrograms for high sensitivity probing of nonlinear hyperpolarizabilities and C-H stretching frequency shifts in acetonitrile/water liquid mixtures," Asian J. Phys. 7, 405-419 (1999).

J. C. Kirkwood, M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Coherent Raman scattering with incoherent light for a multiply resonant mixture: a factorized time correlator diagram analysis," Phys. Rev. A 58, 4910-4925 (1998).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Direct observation of the resonant-nonresonant cross-term contribution to coherent Raman scattering of quasi-CW noisy light in molecular liquids," J. Raman Spectrosc. 28, 917-925 (1997).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Interferometric down-conversion of high frequency molecular vibrations with time-frequency resolved coherent Raman scattering using quasi-continuous-wave noisy light: C-H stretching modes of chloroform and benzene," J. Phys. Chem. A 101, 4587-4591 (1997).
[CrossRef]

D. J. Ulness and A. C. Albrecht, "Theory of time resolved coherent Raman scattering with spectrally tailored noisy light," J. Raman Spectrosc. 28, 571-578 (1997).
[CrossRef]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency resolved interferometric coherent Raman spectroscopy with incoherent light: Raman frequency shifts, dephasing rate constants and nonresonant hyperpolarizabilities of mixtures of benzene in hexane," Chem. Phys. 222, 17-28 (1997).
[CrossRef]

D. J. Ulness and A. C. Albrecht, "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 53, 1081-1095 (1996).
[CrossRef] [PubMed]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency and time resolved coherent Stokes Raman scattering in CS2 using incoherent light," Chem. Phys. Lett. 263, 185-190 (1996).
[CrossRef]

S. A. Schaertel, D. Lee, and A. C. Albrecht, "Study of polarization CRS and polarization ICRS with application to benzene," J. Raman Spectrosc. 26, 889-899 (1995).
[CrossRef]

S. A. Schaertel, A. C. Albrecht, A. Lau, and A. Kummrow, "Interferometric coherent Raman spectroscopy with incoherent light: some applications," Appl. Phys. B 59, 377-387 (1994).
[CrossRef]

M. A. Dugan and A. C. Albrecht, "Radiation-matter oscillations and spectral line narrowing in field-correlated four-wave mixing. I. Theory," Phys. Rev. A 43, 3877-3921 (1991).
[CrossRef] [PubMed]

M. A. Dugan and A. C. Albrecht, "Radiation-matter oscillations and spectral line narrowing in field-correlated four-wave mixing. II. Experiment," Phys. Rev. A 43, 3922-3933 (1991).
[CrossRef] [PubMed]

M. A. Dugan, J. S. Melinger, and A. C. Albrecht, "Terahertz oscillations from molecular liquids in CSRS/CARS spectroscopy with incoherent light," Chem. Phys. Lett. 147, 411-419 (1988).
[CrossRef]

D. Lee and A. C. Albrecht, "A unified view of Raman, resonance Raman, and fluorescence spectroscopy (and their analogues in two-photon absorption)," in Advances in Infrared Spectroscopy, R.J.Clark and R.E.Hester, eds. (Wiley-Heyden, 1985), Vol. 12, Chap. 4.

Alencar, M. A. R. C.

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Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Coherent laser control in attosecond sum-frequency polarization beats using twin noisy driving fields," Phys. Rev. A 71, 023802 (2005).
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Y. Zhang, C. Gan, L. Li, R. Ma, J. Song, T. Jiang, X. Yu, C. Li, H. Ge, and K. Lu, "Rayleigh-enhanced attosecond sum-frequency polarization beats via twin color-locking noisy lights," Phys. Rev. A 72, 013812 (2005).
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Y. Zhang, C. Gan, L. Li, R. Ma, J. Song, T. Jiang, X. Yu, C. Li, H. Ge, and K. Lu, "Rayleigh-enhanced attosecond sum-frequency polarization beats via twin color-locking noisy lights," Phys. Rev. A 72, 013812 (2005).
[CrossRef]

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Attosecond sum-frequency Raman-enhanced polarization beating by use of twin phase-sensitive color locking noisy beams," J. Opt. Soc. Am. B 22, 694-711 (2005).
[CrossRef]

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Coherent laser control in attosecond sum-frequency polarization beats using twin noisy driving fields," Phys. Rev. A 71, 023802 (2005).
[CrossRef]

Stanojevic, J.

Y. Zhang, C. Gan, C. Li, K. Lu, X. Hou, and J. Stanojevic, "Twin Markovian field correlation on four-level attosecond polarization beats," J. Phys. B 37, 1751-1781 (2004).
[CrossRef]

Stimson, M. J.

D. J. Ulness, J. C. Kirkwood, A. C. Albrecht, and M. J. Stimson, "Raman spectrograms for high sensitivity probing of nonlinear hyperpolarizabilities and C-H stretching frequency shifts in acetonitrile/water liquid mixtures," Asian J. Phys. 7, 405-419 (1999).

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Time-frequency resolved coherent Raman scattering from molecular liquids and their mixtures with quasi-cw noisy light: I(2)CRS spectrograms," Laser Chem. 19, 11-18 (1999).
[CrossRef]

J. C. Kirkwood, M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Coherent Raman scattering with incoherent light for a multiply resonant mixture: a factorized time correlator diagram analysis," Phys. Rev. A 58, 4910-4925 (1998).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Direct observation of the resonant-nonresonant cross-term contribution to coherent Raman scattering of quasi-CW noisy light in molecular liquids," J. Raman Spectrosc. 28, 917-925 (1997).
[CrossRef]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency resolved interferometric coherent Raman spectroscopy with incoherent light: Raman frequency shifts, dephasing rate constants and nonresonant hyperpolarizabilities of mixtures of benzene in hexane," Chem. Phys. 222, 17-28 (1997).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Interferometric down-conversion of high frequency molecular vibrations with time-frequency resolved coherent Raman scattering using quasi-continuous-wave noisy light: C-H stretching modes of chloroform and benzene," J. Phys. Chem. A 101, 4587-4591 (1997).
[CrossRef]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency and time resolved coherent Stokes Raman scattering in CS2 using incoherent light," Chem. Phys. Lett. 263, 185-190 (1996).
[CrossRef]

Sun, L. Q.

Y. Zhang, T. T. Tang, L. Q. Sun, and P. M. Fu, "Effects of fourth-order coherence on ultrafast modulation spectroscopy," Phys. Rev. A 61, 023809-1-7 (2000).
[CrossRef]

Y. Zhang, L. Q. Sun, T. T. Tang, and P. M. Fu, "Effects of field correlation on polarization beats," Phys. Rev. A 61, 053819 (2000).
[CrossRef]

Tan, D.

D. Tan, "Nonlinear interferometric spectroscopy as a probe of condensed-phase dynamics," Ph.D. dissertation (Cornell University, Ithaca, New York, 1994).

Tang, T.

Tang, T. T.

Y. Zhang, L. Q. Sun, T. T. Tang, and P. M. Fu, "Effects of field correlation on polarization beats," Phys. Rev. A 61, 053819 (2000).
[CrossRef]

Y. Zhang, T. T. Tang, L. Q. Sun, and P. M. Fu, "Effects of fourth-order coherence on ultrafast modulation spectroscopy," Phys. Rev. A 61, 023809-1-7 (2000).
[CrossRef]

Turner, D. B.

D. B. Turner and D. J. Ulness, "Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light," J. Chem. Phys. 119, 10745-10752 (2003).
[CrossRef]

D. P. Biebighauser, D. B. Turner, and D. J. Ulness, "Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions," Phys. Rev. E 65, 26142-1-12 (2002).
[CrossRef]

Ulness, D. J.

P. P. Aung, K. M. Cosert, L. R. Weisel, T. F. Schulz, M. W. Gealy, and D. J. Ulness, "Effects of beam polarization on coherent anti-Stokes Raman scattering using noisy light," J. Raman Spectrosc. 36, 409-419 (2005).
[CrossRef]

D. P. Biebighauser, J. Gregoire, and D. J. Ulness, "General counting formulae for factorized time correlation diagram analysis," Physica A 320, 1-10 (2003).
[CrossRef]

D. J. Ulness, "On the role of classical field time correlations in noisy light spectroscopy: color locking and a spectral filter analogy," J. Phys. Chem. A 107, 8111-8123 (2003).
[CrossRef]

D. B. Turner and D. J. Ulness, "Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light," J. Chem. Phys. 119, 10745-10752 (2003).
[CrossRef]

D. P. Biebighauser, D. B. Turner, and D. J. Ulness, "Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions," Phys. Rev. E 65, 26142-1-12 (2002).
[CrossRef]

D. J. Ulness, J. C. Kirkwood, A. C. Albrecht, and M. J. Stimson, "Raman spectrograms for high sensitivity probing of nonlinear hyperpolarizabilities and C-H stretching frequency shifts in acetonitrile/water liquid mixtures," Asian J. Phys. 7, 405-419 (1999).

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Time-frequency resolved coherent Raman scattering from molecular liquids and their mixtures with quasi-cw noisy light: I(2)CRS spectrograms," Laser Chem. 19, 11-18 (1999).
[CrossRef]

J. C. Kirkwood, M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Coherent Raman scattering with incoherent light for a multiply resonant mixture: a factorized time correlator diagram analysis," Phys. Rev. A 58, 4910-4925 (1998).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Direct observation of the resonant-nonresonant cross-term contribution to coherent Raman scattering of quasi-CW noisy light in molecular liquids," J. Raman Spectrosc. 28, 917-925 (1997).
[CrossRef]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency resolved interferometric coherent Raman spectroscopy with incoherent light: Raman frequency shifts, dephasing rate constants and nonresonant hyperpolarizabilities of mixtures of benzene in hexane," Chem. Phys. 222, 17-28 (1997).
[CrossRef]

D. J. Ulness and A. C. Albrecht, "Theory of time resolved coherent Raman scattering with spectrally tailored noisy light," J. Raman Spectrosc. 28, 571-578 (1997).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Interferometric down-conversion of high frequency molecular vibrations with time-frequency resolved coherent Raman scattering using quasi-continuous-wave noisy light: C-H stretching modes of chloroform and benzene," J. Phys. Chem. A 101, 4587-4591 (1997).
[CrossRef]

D. J. Ulness and A. C. Albrecht, "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 53, 1081-1095 (1996).
[CrossRef] [PubMed]

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency and time resolved coherent Stokes Raman scattering in CS2 using incoherent light," Chem. Phys. Lett. 263, 185-190 (1996).
[CrossRef]

Weiner, N.

N. Weiner, Nonlinear Problems in Random Theory (Wiley, 1958).

Weisel, L. R.

P. P. Aung, K. M. Cosert, L. R. Weisel, T. F. Schulz, M. W. Gealy, and D. J. Ulness, "Effects of beam polarization on coherent anti-Stokes Raman scattering using noisy light," J. Raman Spectrosc. 36, 409-419 (2005).
[CrossRef]

Werncke, W.

A. Lau, M. Pfeiffer, and W. Werncke, "New time-resolved CARS arrangements," Nuovo Cimento 14, 1023-1032 (1992).
[CrossRef]

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence & Quantum Optics (Cambridge U. Press, 1995).

Wu, H.

Y. Zhang, X. Hou, K. Lu, and H. Wu, "Sixth-order correlations on Raman-enhanced polarization beats with phase-conjugation geometry," Opt. Commun. 184, 265-276 (2000).
[CrossRef]

Yajima, T.

N. Morita and T. Yajima, "Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light," Phys. Rev. A 30, 2525-2536 (1984).
[CrossRef]

Yu, X.

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Coherent laser control in attosecond sum-frequency polarization beats using twin noisy driving fields," Phys. Rev. A 71, 023802 (2005).
[CrossRef]

Y. Zhang, C. Gan, L. Li, R. Ma, J. Song, T. Jiang, X. Yu, C. Li, H. Ge, and K. Lu, "Rayleigh-enhanced attosecond sum-frequency polarization beats via twin color-locking noisy lights," Phys. Rev. A 72, 013812 (2005).
[CrossRef]

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Attosecond sum-frequency Raman-enhanced polarization beating by use of twin phase-sensitive color locking noisy beams," J. Opt. Soc. Am. B 22, 694-711 (2005).
[CrossRef]

Yu, Z.

Z. Yu, X. Mi, Q. Jiang, X. Li, and P. Fu, "Field-correlation effects of Raman-enhanced nondegenerate four-wave mixing," Phys. Rev. A 55, 2334-2339 (1997).
[CrossRef]

X. Mi, Z. Yu, Q. Jiang, and P. Fu, "Time-delayed Raman-enhanced nondegenerate four-wave mixing with a broadband laser source," Phys. Rev. A 48, 3203-3208 (1993).
[CrossRef] [PubMed]

P. Fu, Z. Yu, X. Mi, Q. Jiang, and Z. Zhang, "Theoretical study of the suppression of thermal background in the Raman-enhanced nondegenerate four-wave mixing spectrum by a time-delayed method," Phys. Rev. A 46, 1530-1539 (1992).
[CrossRef] [PubMed]

Zhang, Y.

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Attosecond sum-frequency Raman-enhanced polarization beating by use of twin phase-sensitive color locking noisy beams," J. Opt. Soc. Am. B 22, 694-711 (2005).
[CrossRef]

Y. Zhang, C. Gan, L. Li, R. Ma, J. Song, T. Jiang, X. Yu, C. Li, H. Ge, and K. Lu, "Rayleigh-enhanced attosecond sum-frequency polarization beats via twin color-locking noisy lights," Phys. Rev. A 72, 013812 (2005).
[CrossRef]

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Coherent laser control in attosecond sum-frequency polarization beats using twin noisy driving fields," Phys. Rev. A 71, 023802 (2005).
[CrossRef]

Y. Zhang, C. Gan, C. Li, K. Lu, X. Hou, and J. Stanojevic, "Twin Markovian field correlation on four-level attosecond polarization beats," J. Phys. B 37, 1751-1781 (2004).
[CrossRef]

Y. Zhang, C. Gan, K. Lu, C. Li, and X. Hou, "Raman-enhanced polarization beats in Markovian stochastic fields," Opt. Commun. 205, 163-186 (2002).
[CrossRef]

Y. Zhang, C. Gan, S. M. Farooqi, K. Lu, X. Hou, and T. Tang, "Four-level polarization beats with broadband noisy light," J. Opt. Soc. Am. B 19, 1204-1215 (2002).
[CrossRef]

Y. Zhang, C. B. de Araújo, and E. E. Eyler, "Higher-order correlation on polarization beats in Markovian stochastic fields," Phys. Rev. A 63, 043802 (2000).
[CrossRef]

Y. Zhang, T. T. Tang, L. Q. Sun, and P. M. Fu, "Effects of fourth-order coherence on ultrafast modulation spectroscopy," Phys. Rev. A 61, 023809-1-7 (2000).
[CrossRef]

Y. Zhang, X. Hou, K. Lu, and H. Wu, "Sixth-order correlations on Raman-enhanced polarization beats with phase-conjugation geometry," Opt. Commun. 184, 265-276 (2000).
[CrossRef]

Y. Zhang, L. Q. Sun, T. T. Tang, and P. M. Fu, "Effects of field correlation on polarization beats," Phys. Rev. A 61, 053819 (2000).
[CrossRef]

Zhang, Z.

P. Fu, Z. Yu, X. Mi, Q. Jiang, and Z. Zhang, "Theoretical study of the suppression of thermal background in the Raman-enhanced nondegenerate four-wave mixing spectrum by a time-delayed method," Phys. Rev. A 46, 1530-1539 (1992).
[CrossRef] [PubMed]

Appl. Opt. (1)

Appl. Phys. B (2)

S. A. Schaertel, A. C. Albrecht, A. Lau, and A. Kummrow, "Interferometric coherent Raman spectroscopy with incoherent light: some applications," Appl. Phys. B 59, 377-387 (1994).
[CrossRef]

A. Kummrow and A. Lau, "Dynamics in condensed molecular systems studied by incoherent light," Appl. Phys. B 63, 209-223 (1996).

Asian J. Phys. (1)

D. J. Ulness, J. C. Kirkwood, A. C. Albrecht, and M. J. Stimson, "Raman spectrograms for high sensitivity probing of nonlinear hyperpolarizabilities and C-H stretching frequency shifts in acetonitrile/water liquid mixtures," Asian J. Phys. 7, 405-419 (1999).

Chem. Phys. (1)

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency resolved interferometric coherent Raman spectroscopy with incoherent light: Raman frequency shifts, dephasing rate constants and nonresonant hyperpolarizabilities of mixtures of benzene in hexane," Chem. Phys. 222, 17-28 (1997).
[CrossRef]

Chem. Phys. Lett. (4)

M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Frequency and time resolved coherent Stokes Raman scattering in CS2 using incoherent light," Chem. Phys. Lett. 263, 185-190 (1996).
[CrossRef]

M. A. Dugan, J. S. Melinger, and A. C. Albrecht, "Terahertz oscillations from molecular liquids in CSRS/CARS spectroscopy with incoherent light," Chem. Phys. Lett. 147, 411-419 (1988).
[CrossRef]

L. S. Meneze, C. B. de Araújo, M. A. R. C. Alencar, P. F. Athayde-Filho, J. Miller, and A. M. Simas, "Ultrafast dynamics of mesoionic liquid solutions studied with incoherent light," Chem. Phys. Lett. 347, 163-166 (2001).
[CrossRef]

S. V. Rao and D. N. Rao, "Excited state dynamics of C60 studied using incoherent light," Chem. Phys. Lett. 283, 227-230 (1998).
[CrossRef]

J. Chem. Phys. (2)

D. B. Turner and D. J. Ulness, "Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light," J. Chem. Phys. 119, 10745-10752 (2003).
[CrossRef]

M. Pfeiffer and A. Lau, "Femtosecond fifth-order nonlinear response of nuclear motion in liquids investigated by incoherent laser light. Part I. Theory," J. Chem. Phys. 108, 4159-4172 (1998).
[CrossRef]

J. Opt. Soc. Am. B (4)

J. Phys. B (1)

Y. Zhang, C. Gan, C. Li, K. Lu, X. Hou, and J. Stanojevic, "Twin Markovian field correlation on four-level attosecond polarization beats," J. Phys. B 37, 1751-1781 (2004).
[CrossRef]

J. Phys. Chem. A (2)

D. J. Ulness, "On the role of classical field time correlations in noisy light spectroscopy: color locking and a spectral filter analogy," J. Phys. Chem. A 107, 8111-8123 (2003).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Interferometric down-conversion of high frequency molecular vibrations with time-frequency resolved coherent Raman scattering using quasi-continuous-wave noisy light: C-H stretching modes of chloroform and benzene," J. Phys. Chem. A 101, 4587-4591 (1997).
[CrossRef]

J. Raman Spectrosc. (5)

V. P. Kozich, A. Lau, M. Pfeiffer, and A. Kummrow, "Determination of damped molecular rotation in the liquid phase using interferometric coherent Raman scattering," J. Raman Spectrosc. 30, 473-477 (1999).
[CrossRef]

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Direct observation of the resonant-nonresonant cross-term contribution to coherent Raman scattering of quasi-CW noisy light in molecular liquids," J. Raman Spectrosc. 28, 917-925 (1997).
[CrossRef]

P. P. Aung, K. M. Cosert, L. R. Weisel, T. F. Schulz, M. W. Gealy, and D. J. Ulness, "Effects of beam polarization on coherent anti-Stokes Raman scattering using noisy light," J. Raman Spectrosc. 36, 409-419 (2005).
[CrossRef]

D. J. Ulness and A. C. Albrecht, "Theory of time resolved coherent Raman scattering with spectrally tailored noisy light," J. Raman Spectrosc. 28, 571-578 (1997).
[CrossRef]

S. A. Schaertel, D. Lee, and A. C. Albrecht, "Study of polarization CRS and polarization ICRS with application to benzene," J. Raman Spectrosc. 26, 889-899 (1995).
[CrossRef]

Laser Chem. (1)

D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, "Time-frequency resolved coherent Raman scattering from molecular liquids and their mixtures with quasi-cw noisy light: I(2)CRS spectrograms," Laser Chem. 19, 11-18 (1999).
[CrossRef]

Nuovo Cimento (1)

A. Lau, M. Pfeiffer, and W. Werncke, "New time-resolved CARS arrangements," Nuovo Cimento 14, 1023-1032 (1992).
[CrossRef]

Opt. Commun. (3)

Y. Zhang, C. Gan, K. Lu, C. Li, and X. Hou, "Raman-enhanced polarization beats in Markovian stochastic fields," Opt. Commun. 205, 163-186 (2002).
[CrossRef]

Y. Zhang, X. Hou, K. Lu, and H. Wu, "Sixth-order correlations on Raman-enhanced polarization beats with phase-conjugation geometry," Opt. Commun. 184, 265-276 (2000).
[CrossRef]

S. V. Rao, N. K. M. Naga Srinivas, D. N. Rao, L. Giribabu, B. G. Maiya, R. Philip, and G. R. Kumar, "Excited state dynamics in tetra tolyl porphyrins studied using degenerate four wave mixing with incoherent light and ps pulses," Opt. Commun. 182, 255-264 (2000).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (16)

S. Mukamel and E. Hanamura, "Four-wave mixing using partially coherent fields in systems with spatial correlations," Phys. Rev. A 33, 1099-1108 (1986).
[CrossRef] [PubMed]

J. C. Kirkwood, M. J. Stimson, D. J. Ulness, and A. C. Albrecht, "Coherent Raman scattering with incoherent light for a multiply resonant mixture: a factorized time correlator diagram analysis," Phys. Rev. A 58, 4910-4925 (1998).
[CrossRef]

J. C. Kirkwood and A. C. Albrecht, "Down-conversion of electronic frequencies and their dephasing dynamics: interferometric four-wave-mixing spectroscopy with broadband light," Phys. Rev. A 61, 033802-1-14 (2000).
[CrossRef]

Y. Zhang, C. Gan, J. Song, X. Yu, R. Ma, H. Ge, C. Li, and K. Lu, "Coherent laser control in attosecond sum-frequency polarization beats using twin noisy driving fields," Phys. Rev. A 71, 023802 (2005).
[CrossRef]

Y. Zhang, C. Gan, L. Li, R. Ma, J. Song, T. Jiang, X. Yu, C. Li, H. Ge, and K. Lu, "Rayleigh-enhanced attosecond sum-frequency polarization beats via twin color-locking noisy lights," Phys. Rev. A 72, 013812 (2005).
[CrossRef]

Y. Zhang, T. T. Tang, L. Q. Sun, and P. M. Fu, "Effects of fourth-order coherence on ultrafast modulation spectroscopy," Phys. Rev. A 61, 023809-1-7 (2000).
[CrossRef]

Y. Zhang, C. B. de Araújo, and E. E. Eyler, "Higher-order correlation on polarization beats in Markovian stochastic fields," Phys. Rev. A 63, 043802 (2000).
[CrossRef]

Y. Zhang, L. Q. Sun, T. T. Tang, and P. M. Fu, "Effects of field correlation on polarization beats," Phys. Rev. A 61, 053819 (2000).
[CrossRef]

N. Morita and T. Yajima, "Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light," Phys. Rev. A 30, 2525-2536 (1984).
[CrossRef]

S. Asaka, N. Nakatsuka, M. Fujiwara, and M. Matsuoka, "Accumulated photon echoes with incoherent light inNd3+ -doped silicate glass," Phys. Rev. A 29, 2286-2289 (1984).
[CrossRef]

D. J. Ulness and A. C. Albrecht, "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 53, 1081-1095 (1996).
[CrossRef] [PubMed]

M. A. Dugan and A. C. Albrecht, "Radiation-matter oscillations and spectral line narrowing in field-correlated four-wave mixing. II. Experiment," Phys. Rev. A 43, 3922-3933 (1991).
[CrossRef] [PubMed]

M. A. Dugan and A. C. Albrecht, "Radiation-matter oscillations and spectral line narrowing in field-correlated four-wave mixing. I. Theory," Phys. Rev. A 43, 3877-3921 (1991).
[CrossRef] [PubMed]

P. Fu, Z. Yu, X. Mi, Q. Jiang, and Z. Zhang, "Theoretical study of the suppression of thermal background in the Raman-enhanced nondegenerate four-wave mixing spectrum by a time-delayed method," Phys. Rev. A 46, 1530-1539 (1992).
[CrossRef] [PubMed]

X. Mi, Z. Yu, Q. Jiang, and P. Fu, "Time-delayed Raman-enhanced nondegenerate four-wave mixing with a broadband laser source," Phys. Rev. A 48, 3203-3208 (1993).
[CrossRef] [PubMed]

Z. Yu, X. Mi, Q. Jiang, X. Li, and P. Fu, "Field-correlation effects of Raman-enhanced nondegenerate four-wave mixing," Phys. Rev. A 55, 2334-2339 (1997).
[CrossRef]

Phys. Rev. E (1)

D. P. Biebighauser, D. B. Turner, and D. J. Ulness, "Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions," Phys. Rev. E 65, 26142-1-12 (2002).
[CrossRef]

Phys. Rev. Lett. (1)

R. Beach and S. R. Hartmann, "Incoherent photon echoes," Phys. Rev. Lett. 53, 663-666 (1984).
[CrossRef]

Physica A (1)

D. P. Biebighauser, J. Gregoire, and D. J. Ulness, "General counting formulae for factorized time correlation diagram analysis," Physica A 320, 1-10 (2003).
[CrossRef]

Solid State Commun. (1)

E. Hanamura, "Coherent and incoherent laser spectroscopy of spatial and temporal fluctuations," Solid State Commun. 51, 697-700 (1981).
[CrossRef]

Other (7)

N. Weiner, Nonlinear Problems in Random Theory (Wiley, 1958).

L. Mandel and E. Wolf, Optical Coherence & Quantum Optics (Cambridge U. Press, 1995).

K. A. Rubinson and J. F. Rubinson, Contemporary Instrumental Analysis (Prentice-Hall, 2000).

D. Lee and A. C. Albrecht, "A unified view of Raman, resonance Raman, and fluorescence spectroscopy (and their analogues in two-photon absorption)," in Advances in Infrared Spectroscopy, R.J.Clark and R.E.Hester, eds. (Wiley-Heyden, 1985), Vol. 12, Chap. 4.

S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford U. Press, 1995).

J. W. Goodman, Statistical Optics (Wiley, 1985).

D. Tan, "Nonlinear interferometric spectroscopy as a probe of condensed-phase dynamics," Ph.D. dissertation (Cornell University, Ithaca, New York, 1994).

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Figures (3)

Fig. 1
Fig. 1

Six WMEL diagrams needed for a complete description of the I ( 2 ) RENFWM experiment. Solid horizontal lines denote real states, while dashed horizontal lines denote virtual states. Column (b) shows the WMEL diagrams conjugate to those in column (a).

Fig. 2
Fig. 2

Eight FTC diagrams that effectively encompass the I ( 2 ) RENFWM experiment’s (a) τ-dependent and (b) τ-independent components. The closely spaced pairs of tick marks represent actions occurring at the same point in time on a given chromophore.

Fig. 3
Fig. 3

Plot showing the calculated intensities (arbitrary units) versus time (in picoseconds) for the I ( 2 ) RENFWM signal using noisy light with a τ c of 2.8 ps (upper curve) and a τ c of 100 fs (lower curve).

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

ρ v 1 g = μ v 2 g μ g v 2 μ v 1 g ρ 0 E B E B E M exp [ i ( k B k B + k M ) r i ( ω B ω B + ω M ) t ] 8 ( ω v 2 g ω B i γ v 2 g ) [ ω g g ( ω B ω B ) i γ g g ] [ ω v 1 g ( ω B ω B + ω M ) i γ v 1 g ] ,
ρ g g ( 2 ) ( t ) = i μ t E ( t 1 ) [ ρ v g ( 1 ) ( t 1 ) ρ g v ( 1 ) ( t 1 ) ] e γ g g ( t t 1 ) d t 1 ,
ρ v v ( 2 ) ( t ) = i μ t E ( t 1 ) [ ρ v g ( 1 ) ( t 1 ) ρ g v ( 1 ) ( t 1 ) ] e γ v v ( t t 1 ) d t 1 .
ρ g g ( 2 ) = ρ v v ( 2 ) = i μ t E ( t 1 ) [ ρ g v ( 1 ) ( t 1 ) ρ v g ( 1 ) ( t 1 ) ] e γ v v ( t t 1 ) . d t 1
ρ D ( 2 ) ( t ) = i μ t E ( t 1 ) [ ρ v g ( 1 ) ( t 1 ) ρ g v ( 1 ) ( t 1 ) ] e γ g g ( t t 1 ) d t 1 i μ t E ( t 1 ) [ ρ v g ( 1 ) ( t 1 ) ρ g v ( 1 ) ( t 1 ) ] e γ v v ( t t 1 ) d t 1 ,
ρ D ( 2 ) ( t ) = i μ t E ( t 1 ) [ ρ v g ( 1 ) ( t 1 ) ρ g v ( 1 ) ( t 1 ) ] [ 1 e γ v v ( t t 1 ) ] d t 1 .
p ( t 1 τ ) p ( t 3 ) p ( s 1 τ ) p ( s 3 ) .

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