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

Influence of the internal field multiple reflections on the spontaneous cooperative emission

Yuri A. Avetisyan

Published Mar 4, 1999• 0 citations
Publisher

Abstract

Spontaneous cooperative emission of the pencil-shaped sample was simulated on the basis of Maxwell-Bloch equations without approximation of slowly varying (in space) amplitudes of the electric field and medium polarization. Using the numerical and derived approximate analytical solution of these equations the influence of the internal field multiple reflections (from the sample ends) on the pulse parameters was analyzed. The counter-propagating waves synchronization and pulse development acceleration are discussed.

DOI
10.1117/12.341396

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Spontaneous cooperative emission of the pencil-shaped sample was simulated on the basis of Maxwell-Bloch equations without approximation of slowly varying (in space) amplitudes of the electric field and medium polarization. Using the numerical and derived approximate analytical solution of these equations the influence of the internal field multiple reflections (from the sample ends) on the pulse parameters was analyzed. The counter-propagating waves synchronization and pulse development acceleration are discussed.
We consider a pencil-shaped active medium consisting of two- level initially excited atoms and described by 1D Maxwell- Bloch equations. With the help of these equations solution without slowly varying envelope approximation we shown, that internal field reflections from the ends of the sample transform the so-called 'lethargic' regime of super-radiance (SR) pulse amplification to the amplification regime similar to usual exponential law. iT can lead to the pulse development acceleration and counter-propagating waves synchronization. A simple formula for SR pulse delay time evaluation is presented. The criterion of the counter- propagating waves synchronization is discussed.
The superradiance (SR) of initially inverted two-level active medium in a cavity is considered. We discuss the results specific for the rigorous simulation of the SR pulse (obtained on the basis of 1D Maxwell-Bloch equations solution without slowly varying envelope approximation (SVEA) in the spatial variable): the strong dependencies of the counter-propagating waves correlation and pulse development acceleration not only on the module of the cavity mirrors reflection coefficient, but on the integer- factor of the ratio of the sample length and half of the resonant wavelength. The simple modification of the SVEA model approximately describing the above features is considered.
Superadiation (SR) of an inverted two-level medium, described by one-dimensional Maxwell-Bloch equations without assuming that the amplitudes of the electric field vary smoothly along the sample, is studied. It is shown that as the initial inversion density increases, a transition is observed from the so-called “lethargic” field amplification regime, characteristic for the initial stage of SR, to a regime close to the ordinary exponential law. This accelerates the process and can lead to synchronization of counterpropagating SR pulses. Estimates are obtained for the average value of the delays of the oppositely propagating pulses and for their correlation criterion, which depends strongly on the ratio of the sample length and the half-wavelength of the resonance radiation. The possibility of realizing SR under conditions of strong phase relaxation of the active medium is discussed.