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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Inhomogeneous broadening effect on the coherent exchange between the waves in induced supperradiance

A. A. Bogdanov, А. И. Зайцев

Published Apr 20, 2004• 0 citations
Publisher

Abstract

It is shown that inhomogeneous broadening in induced superradiance not only increases the delay time and attenuates the superradiance pulse intensity as well as decreases the period of the cooperative exchange between forward and backward waves in a sample. As a result, it may change the regime of predominance of the transmitted or reflected wave. Also the inhomogeneous broadening leads to decaying of exchange.

DOI
10.1117/12.562209

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Physical Review A•Feb 1, 1974•40 citations
It is shown that inhomogeneous broadening in induced superradiance not only increases the delay time and attenuates the superradiance pulse intensity as well as decreases the period of the cooperative exchange between forward and backward waves in a sample. As a result, it may change the regime of predominance of the transmitted or reflected wave. Also the inhomogeneous broadening leads to decaying of exchange.
The generation of reflected and transmitted waves in induced superradiance is investigated. It is demonstrated that the exponential increase in the amplitude of the total field at the linear stage of the process may be accompanied by a periodic coherent exchange between the forward and backward waves in a sample. Transition to the nonlinear stage in a certain phase of this exchange determines the predominance of the transmitted or reflected wave in the pulse. The influence of the area of the initiating pulse and the sample length is considered.
The problem of superradiant emission from a small atomic system is treated under conditions in which the effects of inhomogeneous broadening are important, as in a solid. The treatment is semiclassical, with the assumption that all atoms see the same electromagnetic field. A set of coupled integrodifferential equations is obtained characterizing the state of each atom of resonant frequency \ensuremath{\omega} at time ttt. It is found that, in general, atoms of different frequencies evolve differently in time, whether or not they start from the same initial state. The effect of the inhomogeneous broadening is generally to delay the onset and to reduce the amplitude of the superradiant pulse. Some effects of inhomogeneous broadening are manifest even when the inhomogeneous lifetime is much longer than the usual superradiance time. When the atomic system starts in the ground state and is then exposed to a coherent excitation pulse, superradiant effects can appear even when the inhomogeneous lifetime is very short compared with the usual superradiance time.