Abstract
A dynamical theory of spectroscopy with femtosecond pulse excitation is developed and is applied to studying the one-photon absorption and two-photon emission processes. Unlike the previous theories, this theory can treat all kinds of optical process from ultrashort pulse to CW limit in a consistent picture, because the exact equation of emission rate obtained from this theory can correctly reduce to the Kramers-Heisenberg-Dirac (KHD) expression.
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References
Myers, A. B., Mathies, R. A., Resonance Raman intensities: A probe of excited-state structure and dynamics, inBiological Applications of Raman Spectrometry: Vol. 2,Resonance Runzun Spectra of Polyenes and Aromatics (ed. Spiro, T. G.), New York: John wile; & Sons. 1987, 1–58.
Lee, S. Y., Heller, E. J., Time-dependent theory of Raman scattering,J. Chem. Phys., 1979, 71: 4777.
Shank, C. V.,Ultrashort Laser Pulse: Generations and Applicatiorrs (ed. Kaiser, W.), New York: Springer-Verlag, 1993, 5.
Manz, J., Woste, L., eds.,Femtosecond Chemistry, Weinheim: VCH Publishers, 1997.
Melinger. J. S., Albrecht, A. C., Theory of time and frequency resolved resonance secondary radiation from a three-level system,J. Chem. Phys., 1986, 84: 1247.
Williams, S. O.. Imre, D. G., Raman spectroscopy: Time-dependent picture,J. Phys. Chem., 1988, 92: 3363.
Shapiro, M., Theory of continuum-Raman spectroscopy with pulses,J. Chem. Phys., 1993, 99: 2453.
Shapiro, M., Real-time dependence theory of photodissociation and continuum Raman experiments,J. Phys. Chem., 1993, 97: 7396.
Shapiro, M., Theory of emission from dissociating state, inFemtosecond Chemistry, Vol. I (eds. Manz, J., Woste, L.), Weinheim: VCH Publishers, 1997, 321.
Keller, A., Atabek, O., Continuum Raman scattering with short laser pulses,Phys. Rev. A, 1993, 48: 3741.
Lu, J., Lee. Soo-Y, Theory of Raman scattering with pulses: application to continum Raman spectroscopy,J. Chem. Phy., 1996, 104: 8237.
Shumovsky, A. S., Dynamical questions in quantum optics, inModern Nonlinear Optics (Part1) (eds. Evans, M., Kielich, S.), New York: John Wiley & Sons, 1993, 375.
Kosiosff. D., Kosloff, R., A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics,J. Comp. Phys., 1983, 52: 35.
Kosloff, R.. Time-dependent quantum-mechanical methods for molecular dynamics,J. Phys. Chem., 1988, 92: 2087.
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Lu, J., Lee, SY. & Fan, K. Dynamical theory of spectroscopy with femtosecond pulse excitation (I). Sci. China Ser. A-Math. 40, 958–966 (1997). https://doi.org/10.1007/BF02878675
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DOI: https://doi.org/10.1007/BF02878675