Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Soviet Journal of Low Temperature Physics

Dependence of optical superradiance pulse characteristics on transverse relaxation time of emitters

V. I. Gorentsveig

Published Jun 1, 1989• 0 citations
Publisher

Abstract

The dependences of maximum intensity, delay time and single superradiance pulse width on transverse relaxation time for different initial inversion of emitters have been obtained in analytic form by using a semiclassical approach involving effective description of radiative field decay in the bulk of a sample. Superradiance conditions are refined and the restrictions on initial inversion are determined.

DOI
10.1063/10.0032196

Related papers

Theory of superradiance in an extended, optically thick medium

J. C. MacGillivray, Michael S. Feld

This paper presents a semiclassical treatment of the evolution of an initially inverted system into a superradiant state in an extended, optically thick medium. In this process spontaneous emission and background thermal radiation initiate the collective radiative decay and produce a superradiant output pulse of intensity proportional to the square of the number of radiators. The treatment is based on the coupled Maxwell-Schr\"odinger equations, modified to include a fluctuating polarization source properly constructed to account for the effects of spontaneous emission. Computer results show that for a high-gain system only two parameters significantly influence the evolution process: ${T}_{R}$, the characteristic radiation damping time of the collective system; and ${\ensuremath{\theta}}_{0}$, a function of the conditions which initiate the superradiant process. In this limit one obtains a normalized emission curve and simple analytical expressions for the time delay, pulse width, and peak intensity of the output radiation. These results are in good agreement with experiments. A comparison of our model with previous treatments of superradiance is given.

Physical Review A•Sep 1, 1976•386 citations

Limits of superradiance as a process for achieving short pulses of high energy

J. C. MacGillivray, Michael S. Feld

This paper augments previous theoretical descriptions of superradiance in an extended optically thick medium by giving expressions which limit the length and density of a high-gain system which can superradiate as a whole, or equivalently, the shortness of its output radiation pulses. Limits arising from experimental conditions such as finite inversion time, finite decay and dephasing times, finite transit time (cooperation length), feedback, diffraction, and Fresnel number not approximately one, are discussed. Modifications to the simple analytical expressions for the output radiation of the superradiant system due to each of these effects are described in detail. Detailed computer results are also given.

Physical Review A•Mar 1, 1981•64 citations

Initial stage of a superradiance pulse in the case of delayed or prolonged excitation of matter

V.D. Laptev, N. M. Reutova, I. V. Sokolov

The delay time of the principal superradiance pulse is found theoretically for the cases when a longitudinal wide-band pump pulse is long on the time scale of the output radiation or when such a pump pulse travels along an active medium more slowly than the optical wave. A comparison is made of the delay times of the forward and reverse waves. A linearized semiclassical problem (one-dimensional case) with a random source is solved for the amplitude of the radiation field.

Soviet Journal of Quantum Electronics•Aug 31, 1984•0 citations

Superradiance of the system comprised of two parallel resonant thin layers

Igor Viktorovich Ryzhov, А. И. Зайцев, E. V. Shuval-Sergeeva

A cavity-like regime of superradiance for a double-layer medium populated by atoms with the A-scheme of transitions is considered in a semiclassical approximation under the condition that the layers are arranged symmetrically with respect to initial characteristics of the field and atomic system populating the layers. An analytical law for the linear stage of the superradiance process is found that agrees well with numerical solution of the differential equations of the model under consideration for any initial conditions nearly up to the peak of the appropriate characteristic of the field intensity module. For the case of degenerate lower doublet, the resonant character of the dependence of the superradiance pulse time delay on the distance between the layers is studied.

Optics and Spectroscopy•Apr 1, 2012•5 citations

Transverse Effects In Swept-Gain Superradiance: Evolution From The Superradiant State

C. M. Bowden, F. P. Mattar

Results of numerical calculations are presented and analyzed for pulse generation and subsequent stabilization in large propagation distance z , for a collection of two-level absorbers which are swept-excited by an impulse inversion along the z-direction at the speed of light in the medium. The calculation is performed using the coupled Maxwell-Bloch formalism and for the conditions that T2 = T1 , T2 > ιc, g/κ > > 1, where T2 is macroscopic dipole moment dephasing time, T1 is the longitudinal relaxation time for the absorber, ιc is the characteristic superradiant cooperation time among the absorbers and g/κ is the linear gain, g , to diffraction loss, κ, ratio. Results of the calculation for nonlinear pulse evolution and propagation for one spacial dimension (planar case) is compared with the results for the comparable case where transverse mode coupling is included.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Dec 30, 1981•2 citations

Superradiance from few emitters with non-radiative decay

Игорь Евгеньевич Проценко, Alexander V. Uskov

Description of superradiance of few quantum emitters with non-radiative decay in terms of quantum states is presented. Quantum efficiencies (QE) of SR of two and three emitters are calculated and compared with the case of two and three independent emitters. Maximum increase in QE is 8% for two emitters and 16% for three emitters, it is reached at certain ratios between non-radiative and radiative rates. Approach can be generalized with inclusion of the incoherent pump, dephasing and delay in emitter-emitter interaction.

arXiv:1604.08302•Apr 28, 2016•1 citation
The dependences of maximum intensity, delay time and single superradiance pulse width on transverse relaxation time for different initial inversion of emitters have been obtained in analytic form by using a semiclassical approach involving effective description of radiative field decay in the bulk of a sample. Superradiance conditions are refined and the restrictions on initial inversion are determined.
This paper presents a semiclassical treatment of the evolution of an initially inverted system into a superradiant state in an extended, optically thick medium. In this process spontaneous emission and background thermal radiation initiate the collective radiative decay and produce a superradiant output pulse of intensity proportional to the square of the number of radiators. The treatment is based on the coupled Maxwell-Schr\"odinger equations, modified to include a fluctuating polarization source properly constructed to account for the effects of spontaneous emission. Computer results show that for a high-gain system only two parameters significantly influence the evolution process: TR{T}_{R}TR​, the characteristic radiation damping time of the collective system; and ${\ensuremath{\theta}}_{0}$, a function of the conditions which initiate the superradiant process. In this limit one obtains a normalized emission curve and simple analytical expressions for the time delay, pulse width, and peak intensity of the output radiation. These results are in good agreement with experiments. A comparison of our model with previous treatments of superradiance is given.
This paper augments previous theoretical descriptions of superradiance in an extended optically thick medium by giving expressions which limit the length and density of a high-gain system which can superradiate as a whole, or equivalently, the shortness of its output radiation pulses. Limits arising from experimental conditions such as finite inversion time, finite decay and dephasing times, finite transit time (cooperation length), feedback, diffraction, and Fresnel number not approximately one, are discussed. Modifications to the simple analytical expressions for the output radiation of the superradiant system due to each of these effects are described in detail. Detailed computer results are also given.
A cavity-like regime of superradiance for a double-layer medium populated by atoms with the A-scheme of transitions is considered in a semiclassical approximation under the condition that the layers are arranged symmetrically with respect to initial characteristics of the field and atomic system populating the layers. An analytical law for the linear stage of the superradiance process is found that agrees well with numerical solution of the differential equations of the model under consideration for any initial conditions nearly up to the peak of the appropriate characteristic of the field intensity module. For the case of degenerate lower doublet, the resonant character of the dependence of the superradiance pulse time delay on the distance between the layers is studied.
Results of numerical calculations are presented and analyzed for pulse generation and subsequent stabilization in large propagation distance z , for a collection of two-level absorbers which are swept-excited by an impulse inversion along the z-direction at the speed of light in the medium. The calculation is performed using the coupled Maxwell-Bloch formalism and for the conditions that T2 = T1 , T2 > ιc, g/κ > > 1, where T2 is macroscopic dipole moment dephasing time, T1 is the longitudinal relaxation time for the absorber, ιc is the characteristic superradiant cooperation time among the absorbers and g/κ is the linear gain, g , to diffraction loss, κ, ratio. Results of the calculation for nonlinear pulse evolution and propagation for one spacial dimension (planar case) is compared with the results for the comparable case where transverse mode coupling is included.
Description of superradiance of few quantum emitters with non-radiative decay in terms of quantum states is presented. Quantum efficiencies (QE) of SR of two and three emitters are calculated and compared with the case of two and three independent emitters. Maximum increase in QE is 8% for two emitters and 16% for three emitters, it is reached at certain ratios between non-radiative and radiative rates. Approach can be generalized with inclusion of the incoherent pump, dephasing and delay in emitter-emitter interaction.