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Annalen der Physik

Zur nichtstationären Theorie der Resonanzfluoreszenz

Joachım Herrmann, K.‐E. Süsse, D.‐G. Welsch

Published Jan 1, 1973• 18 citations
Publisher

Abstract

Abstract The time dependence of the spectral and spatial energy density of the fluorescence radiation of an atomic system generated by the resonance scattering of an intense laser pulse was calculated. Particularly the influence of the duration and the intensity of the incident laser pulse and of the atomic relaxation constants upon the fluorescence radiation has been studied.

DOI
10.1002/andp.19734850104

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Abstract The time dependence of the spectral and spatial energy density of the fluorescence radiation of an atomic system generated by the resonance scattering of an intense laser pulse was calculated. Particularly the influence of the duration and the intensity of the incident laser pulse and of the atomic relaxation constants upon the fluorescence radiation has been studied.
The time-dependent theory of Courtens and Sz\"oke is generalized using the approach of Burnett et al. to derive time-dependent spectral intensities of resonance fluorescence from atoms driven by a pulsed laser in the presence of collisions. These results are valid both for laser detunings inside and outside the usual impact region of the spectrum, including Zeeman degeneracy effects. We apply this theory to a simple but important example (J=0J=0J=0 to J=1J=1J=1) to obtain quantitative predictions for the observable scattered-light spectrum which can be directly compared with recent experiments.
The spectral density of resonance fluorescence from a two-level atom in a monochromatic radiation field of arbitrary strength and detuning is calculated by solution of the wave equation. A basis set in which the strong coupling of the atom and the quantised incident field is diagonal is used, and the resulting infinite set of coupled equations is solved by truncating them to a set of N equations and finally proceeding to the N to infinity limit. The resulting spectral densities of the inelastically scattered field for various levels of intensity of the incident field and degree of detuning are found to be identical with those of Kimble and Mandel (1976, 1977) obtained by solution of the coupled equations of motion of the atom and the radiation field in the Heisenberg picture.
Abstract Es wird das Zeitverhalten der räumlichen Energiedichte der Fluoreszenzstrahlung bei resonanter Streuung intensiver Laserimpulse an einem Ensemble bewegter Moleküle berechnet. Insbesondere wird der Einfluß der Dauer und der Intensität kurzer Anregungsimpulse auf den kohärenten und den inkohärenten Anteil der Fluoreszenzstrahlung eines Doppler‐verbreiterten Gases untersucht. Die Grenzen des Begriffes „inhomogene Relaxationszeit”︁ werden diskutiert. Im Rahmen der Theorie der Resonanzfluoreszenz wird das Photonenecho behandelt.
Abstract The gain of the stimulated resonance RAMAN scattering (SRRS) and stimulated fluorescence is obtained by means of an analytical solution of the density matrix equation and MAXWELL's equations for laser‐ und STOKES‐radiation. The transient effects, which are caused by the population change of the molecule levels, and the influence of the resonance absorption on the pumping and the STOKES radiation are studied. The strong laser absorption yields a maximal gain, which shows, why the stimulated resonance RAMAN scattering could not be observed in many substances. As a result of our paper we give a possible interpretation of the experimentally observed relation between the stimulated fluorescence and the resonant RAMAN scattering.
Abstract The fluorescence dynamics of optically dense but dilute atomic ensembles cooled to sub-Doppler temperatures and excited by resonant pulsed radiation is studied. Apart from total radiation intensity, the temporal variations of the spectral composition of fluorescence and its polarization, as well as the variation of the spatial distribution of excitation in the atomic ensemble, are analyzed. Based on this analysis, it is shown that the role of radiation trapping becomes smaller with time, and subradiance quantum states formed as a result of the resonant dipole–dipole interatomic interaction become the main factor determining the slow atomic excitation decay. The dependence of the subradiance form on the ensemble size is analyzed.