Based on the time-dependent theory, an analysis of the distinction between resonance Raman (RR) and resonance fluorescence (RF) with pulse excitation was presented. The real population of the intermediate state gives ...Based on the time-dependent theory, an analysis of the distinction between resonance Raman (RR) and resonance fluorescence (RF) with pulse excitation was presented. The real population of the intermediate state gives two optical components-the independent time evolution of intermediate ket and bra states generates RR while RF originates from the phase coherent between ket and bra states. In cw limit, the transition probability of spontaneous emission with pulse excitation can be reduced to the classical theory.展开更多
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 tre...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.展开更多
Femtosecond stimulated Raman spectroscopy (FSRS), using an overlapping pair of narrow band Raman pump and broadband probe pulses with heterodyne detection along the probe pulse direction, is a new nonlinear spectros...Femtosecond stimulated Raman spectroscopy (FSRS), using an overlapping pair of narrow band Raman pump and broadband probe pulses with heterodyne detection along the probe pulse direction, is a new nonlinear spectroscopic technique to record vibrational spectra of even highly fluorescent molecules and to study vibrational dynamics on excited electronic states of molecules, as in photoisomerization. FSRS is described by diagrammatic third-order perturbation theory with wave packet analysis. The phase matching condition gives rise to forty-eight terms for FSRS, but the resonant condition reduces it to just eight terms, which can be depicted by Feynman dual time-line diagrams, or closed time path loop diagrams, or the complementary four-wave mixing energy level diagrams. The eight terms fall into four sets-SRS(I), SRS(Ⅱ), IRS(I), IRS(Ⅱ)-where SRS stands for stimulated Raman scattering and IRS stands for inverse Raman scattering. The SRS(I) set can also account for spontaneous Raman scattering, but the remaining SRS(Ⅱ), IRS(I) and IRS(Ⅱ) terms are only present in stimulated scattering with the presence of a probe field. The SRS(I) set accounts for the Stokes Raman lines while the IRS(I) term accounts for the anti-Stokes lines, relative to the Raman pump frequency, in the FSRS spectrum. The remaining SRS(Ⅱ) and IRS(Ⅱ) terms give rise to broad baselines. Using a harmonic oscillator model, analytic results are obtained for the four-time correlation functions in the third-order polarizations. The issue of high time and high frequency resolution in time-resolved FSRS spectra is discussed. Calculations are made with the theory to compare with experimental results for: (a) resonance FSRS of fluorescent Rhodamine 6G and (b) 2D-FSRS from a coherent vibrational state that has been prepared by an impulsive, off-resonant pump pulse on CDCl3. The calculated results compared well with experimental results, and in the case of 2D-FSRS on CDCl3 there is a dominant cascade effect contributing to the FSRS spectra.展开更多
The dynamical theory of spectroscopy with femtosecond pulse excitation is applied to a direct dissociation process.In the ultrashort pulse case,the fluorescence-like emission peak occurs in Raman scattering as the inc...The dynamical theory of spectroscopy with femtosecond pulse excitation is applied to a direct dissociation process.In the ultrashort pulse case,the fluorescence-like emission peak occurs in Raman scattering as the incident frequency is tuned near resonance.All properties of the spectroscopy can be explained by the correlation function.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.29773010 and 29833080。
文摘Based on the time-dependent theory, an analysis of the distinction between resonance Raman (RR) and resonance fluorescence (RF) with pulse excitation was presented. The real population of the intermediate state gives two optical components-the independent time evolution of intermediate ket and bra states generates RR while RF originates from the phase coherent between ket and bra states. In cw limit, the transition probability of spontaneous emission with pulse excitation can be reduced to the classical theory.
文摘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.
基金supported by the Ministry of Education,Singapore,and Nanyang Technological University Research Grants (T207B1222 &RG56/08)
文摘Femtosecond stimulated Raman spectroscopy (FSRS), using an overlapping pair of narrow band Raman pump and broadband probe pulses with heterodyne detection along the probe pulse direction, is a new nonlinear spectroscopic technique to record vibrational spectra of even highly fluorescent molecules and to study vibrational dynamics on excited electronic states of molecules, as in photoisomerization. FSRS is described by diagrammatic third-order perturbation theory with wave packet analysis. The phase matching condition gives rise to forty-eight terms for FSRS, but the resonant condition reduces it to just eight terms, which can be depicted by Feynman dual time-line diagrams, or closed time path loop diagrams, or the complementary four-wave mixing energy level diagrams. The eight terms fall into four sets-SRS(I), SRS(Ⅱ), IRS(I), IRS(Ⅱ)-where SRS stands for stimulated Raman scattering and IRS stands for inverse Raman scattering. The SRS(I) set can also account for spontaneous Raman scattering, but the remaining SRS(Ⅱ), IRS(I) and IRS(Ⅱ) terms are only present in stimulated scattering with the presence of a probe field. The SRS(I) set accounts for the Stokes Raman lines while the IRS(I) term accounts for the anti-Stokes lines, relative to the Raman pump frequency, in the FSRS spectrum. The remaining SRS(Ⅱ) and IRS(Ⅱ) terms give rise to broad baselines. Using a harmonic oscillator model, analytic results are obtained for the four-time correlation functions in the third-order polarizations. The issue of high time and high frequency resolution in time-resolved FSRS spectra is discussed. Calculations are made with the theory to compare with experimental results for: (a) resonance FSRS of fluorescent Rhodamine 6G and (b) 2D-FSRS from a coherent vibrational state that has been prepared by an impulsive, off-resonant pump pulse on CDCl3. The calculated results compared well with experimental results, and in the case of 2D-FSRS on CDCl3 there is a dominant cascade effect contributing to the FSRS spectra.
文摘The dynamical theory of spectroscopy with femtosecond pulse excitation is applied to a direct dissociation process.In the ultrashort pulse case,the fluorescence-like emission peak occurs in Raman scattering as the incident frequency is tuned near resonance.All properties of the spectroscopy can be explained by the correlation function.