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Chemical Physics Letters

Unified theory of photon echoes: The passage from inhomogeneous to homogeneous line broadening

Roger F. Loring, Shaul Mukamel

Published Mar 1, 1985• 80 citations
Publisher
DOI
10.1016/0009-2614(85)85113-7

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Selectivity in coherent transient Raman measurements of vibrational dephasing in liquids

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The microscopic information content of coherent transient Raman measurements is analyzed. It is shown that for short pulses and optically thin samples the Kaiser–Laubereau pulse sequence is the Raman analog of the optical free induction decay, and that the experimental observable contains the same dynamical information as the isotropic, spontaneous Raman line shape. Under these conditions, the experiment therefore cannot be used to selectively measure the homogeneous dephasing time of a system with an inhomogeneously broadened line. The results of our analysis are at variance with the earlier results of Kaiser and Laubereau and the more recent predictions of Oxtoby. However, these experiments, under certain circumstances, may be used to obtain a nonselective line narrowing, as found by Zinth, Polland, Laubereau, and Kaiser. We also consider the situation in which the sample is optically dense, in which case laser depletion must be taken into account. The distinction between saturation of the vibrational transition and depletion of the pump pulse is discussed, and selectivity is shown to arise from the former phenomenon, rather than from the latter. This result is at variance with the predictions of George and Harris. An alternative pulse sequence, the Raman echo, is suggested as a tool to achieve selectivity. A unified theory of the Raman echo is developed, which is valid for a bath with arbitrary time scale and which interpolates between the limits of homogeneous and inhomogeneous line broadening.

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PHOTON ECHOES IN INHOMOGENEOUS STARK FIELD : A PULSE SEQUENCE ELIMINATING FREE FLIGHT EFFECTS

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MULTILEVEL THEORY OF TIME-DELAY FOUR-WAVE MIXING WITH INCOHERENT LIGHT——INHOMO-GENEOUS BROADENING CASE

ZHANG RUI-HUA, Xin Mi, ZHOU HAI-TIAN +3 more

In this paper, our multi-level theory of time-delay four wave mixing with incoherent light (TDFWM-IL) developed previously for the case of homogeneous broadening system has been extended to a generally inhomogeneous broadening case. From the present theory, a general expression of signal intensity for absorption band with both homogeneous and inhomogeneous broadening is given as a function of mutual time delay τ between two pump beams. Photon echo with incoherent light under the condition of extremely inhomogeneous broadening is discussed, and the difference of results obtained scperately from multi-level and two-level theory is pointed out. It has been demonstrated that the experiment of TDFWM-IL can also be analysed approximately by using an effective two-level model when a weak effect of inhomogeneous broadening of absorption band exists. Finally, our experimental results of TDFWM-IL obtained at zero-phonon line of ruby and absorption edge of cresyl violet film in PMMA are also presented and compared with the theory mentioned above.

Acta Physica Sinica•Jan 1, 1991•0 citations
The microscopic information content of coherent transient Raman measurements is analyzed. It is shown that for short pulses and optically thin samples the Kaiser–Laubereau pulse sequence is the Raman analog of the optical free induction decay, and that the experimental observable contains the same dynamical information as the isotropic, spontaneous Raman line shape. Under these conditions, the experiment therefore cannot be used to selectively measure the homogeneous dephasing time of a system with an inhomogeneously broadened line. The results of our analysis are at variance with the earlier results of Kaiser and Laubereau and the more recent predictions of Oxtoby. However, these experiments, under certain circumstances, may be used to obtain a nonselective line narrowing, as found by Zinth, Polland, Laubereau, and Kaiser. We also consider the situation in which the sample is optically dense, in which case laser depletion must be taken into account. The distinction between saturation of the vibrational transition and depletion of the pump pulse is discussed, and selectivity is shown to arise from the former phenomenon, rather than from the latter. This result is at variance with the predictions of George and Harris. An alternative pulse sequence, the Raman echo, is suggested as a tool to achieve selectivity. A unified theory of the Raman echo is developed, which is valid for a bath with arbitrary time scale and which interpolates between the limits of homogeneous and inhomogeneous line broadening.
In this paper, our multi-level theory of time-delay four wave mixing with incoherent light (TDFWM-IL) developed previously for the case of homogeneous broadening system has been extended to a generally inhomogeneous broadening case. From the present theory, a general expression of signal intensity for absorption band with both homogeneous and inhomogeneous broadening is given as a function of mutual time delay τ between two pump beams. Photon echo with incoherent light under the condition of extremely inhomogeneous broadening is discussed, and the difference of results obtained scperately from multi-level and two-level theory is pointed out. It has been demonstrated that the experiment of TDFWM-IL can also be analysed approximately by using an effective two-level model when a weak effect of inhomogeneous broadening of absorption band exists. Finally, our experimental results of TDFWM-IL obtained at zero-phonon line of ruby and absorption edge of cresyl violet film in PMMA are also presented and compared with the theory mentioned above.