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

Bulletin of the Russian Academy of Sciences Physics

Superradiation in a Medium Consisting of Two Ultra-Thin Layers, Considering the Influence of Homogeneous and Inhomogeneous Spectral Line Broadening

I. I. Ryzhov, E. S. Kovyneva, A. M. Devyatkov

Published Jun 1, 2024• 0 citations
Publisher

Abstract

Abstract In a semiclassical approach, we investigate the superradiation of two parallel ultra-thin layers doped with active centers exhibiting Λ-scheme operation transitions in an absorbing medium. The initial population of the upper state of the active centers varies from full inversion to inversion-less superradiation regimes. We demonstrate the resonant influence of interlayer interference of counterpropagating waves on the intensity dynamics of the fields emitted from the bilayer system, depending on the phase factor characterizing the distance between the layers. In this model, both relaxation processes associated with homogeneous and inhomogeneous broadening of the spectral lines of the active centers are taken into account.

DOI
10.1134/s1062873824706810

Related papers

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

Optical bistability and hysteresis of a thin layer of resonant emitters: Interplay of inhomogeneous broadening of the absorption line and the Lorentz local field

R. F. Malikov, Victor A Malyshev

We investigate conditions for the occurrence of a bistable response from a thin layer of an ensemble of two-level inhomogeneously broadened emitters upon their interaction with resonant radiation. A Lorentz correction to the local field that acts on emitters is taken into account. Bistability phase diagrams in the parameter space (inhomogeneous broadening, detuning away from resonance, and local field) are calculated, and the occurrence of optical hysteresis of the system is demonstrated. In addition to this, we study the switching time from the lower stable branch of the bistable characteristics to the upper one and vice versa against the intensity of the driving field, which determines the operation speed of a bistable device. The possibility of using a thin layer of resonant emitters as a multichannel all-optical switch is discussed.

Optics and Spectroscopy•Jun 1, 2017•15 citations

Photonic-crystal superradiant laser: effects of homogeneous and inhomogeneous broadening of an active medium

N. S. Ginzburg, E. R. Kocharovskaya, Alexander S. Sergeev +1 more

We investigate superradiant lasing in 1D photonic crystal taking into account both homogeneous and inhomogeneous broadening in a two-level active medium. The latter may be based on, e.g., the quantum-well heterostructures and the fibers activated by color centers where Bragg structure can be fabricated artificially by means of a periodic modulation of the cladding layers. The truncated Maxwell-Bloch equations for the counter-propagating waves, the polarization and inversion of an inhomogeneously broadened two-level medium are used to analyze numerically the interplay between the back-scattering, amplification, dispersion, and de-phasing of waves. It is found that, if the photonic band gap is less than the coherent amplification bandwidth, there is a wide range of the pumping and relaxation parameters of a two-level medium where superradiant lasing exists and results in generation of a quasi-periodic and/or chaotic series of powerful and short pulses similar to those of Dicke superfluorescence. It is the cavity mode selection due to distributed feedback caused by the resonant Bragg structure which is responsible for the existence of superradiant lasing. Typical parameters of superradiant photonic-crystal lasers, including lengths, photonic band gaps and relaxation rates, are indicated.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Nov 10, 2008•2 citations

Counterpropagating pulse correlation for thin layer of active medium superradiance

Yuri A. Avetisyan

The superradiance of a thin layer of inverted two-level active medium has been investigated on the basis of numerical solution of semiclassical Maxwell-Bloch equations with stochastic initial conditions. The correlation of counter-propagation pulses delay times was analyzed with the account of diffraction divergence of radiation.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 14, 2000•0 citations

Effect of nearby level on kinetics of superradiance of thin layer: the local-field regime

Igor Viktorovich Ryzhov, А. И. Зайцев

Under analysis is the influence of the local field upon the competition of transitions in the process of superradiance from incompletely excited thin layer of three level atoms ((Lambda) -diagram of the operating transitions). It is highlighted that while the upper sublevel of the lower doublet starts degenerating, there is a superradiant regime, where the combinative transition leads the development of the superradiance pulse, and the time of the pulse delay depends on the parameters of the local field and splitting of the lower doublet.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Nov 15, 2001•0 citations

Coherent reflection as superradiation from the boundary of a resonant medium

M. G. Benedict, Evgenii Dmitrievich Trifonov

The reflection of short optical pulses from the boundary of a resonant medium is investigated theoretically by the coupled system of the Maxwell and optical Bloch equations. In order to describe the reflected wave, the slowly-varying-envelope approximation in space is not exploited. The coherent reflection is shown to be in connection with Dicke superradiance. It takes place if the relaxation time of the polarization is longer than the superradiation time of the atoms in an optically thin boundary layer of the medium. That is why much of the relevant information can be obtained already in the thin-medium limit, which is considered separately. The conditions of strong reflection from an extended medium are similar to the ones found for a thin sample. The transition into the incoherent and stationary regime is discussed.

Physical Review A•Sep 1, 1988•81 citations
Abstract In a semiclassical approach, we investigate the superradiation of two parallel ultra-thin layers doped with active centers exhibiting Λ-scheme operation transitions in an absorbing medium. The initial population of the upper state of the active centers varies from full inversion to inversion-less superradiation regimes. We demonstrate the resonant influence of interlayer interference of counterpropagating waves on the intensity dynamics of the fields emitted from the bilayer system, depending on the phase factor characterizing the distance between the layers. In this model, both relaxation processes associated with homogeneous and inhomogeneous broadening of the spectral lines of the active centers are taken into account.
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.
We investigate conditions for the occurrence of a bistable response from a thin layer of an ensemble of two-level inhomogeneously broadened emitters upon their interaction with resonant radiation. A Lorentz correction to the local field that acts on emitters is taken into account. Bistability phase diagrams in the parameter space (inhomogeneous broadening, detuning away from resonance, and local field) are calculated, and the occurrence of optical hysteresis of the system is demonstrated. In addition to this, we study the switching time from the lower stable branch of the bistable characteristics to the upper one and vice versa against the intensity of the driving field, which determines the operation speed of a bistable device. The possibility of using a thin layer of resonant emitters as a multichannel all-optical switch is discussed.
We investigate superradiant lasing in 1D photonic crystal taking into account both homogeneous and inhomogeneous broadening in a two-level active medium. The latter may be based on, e.g., the quantum-well heterostructures and the fibers activated by color centers where Bragg structure can be fabricated artificially by means of a periodic modulation of the cladding layers. The truncated Maxwell-Bloch equations for the counter-propagating waves, the polarization and inversion of an inhomogeneously broadened two-level medium are used to analyze numerically the interplay between the back-scattering, amplification, dispersion, and de-phasing of waves. It is found that, if the photonic band gap is less than the coherent amplification bandwidth, there is a wide range of the pumping and relaxation parameters of a two-level medium where superradiant lasing exists and results in generation of a quasi-periodic and/or chaotic series of powerful and short pulses similar to those of Dicke superfluorescence. It is the cavity mode selection due to distributed feedback caused by the resonant Bragg structure which is responsible for the existence of superradiant lasing. Typical parameters of superradiant photonic-crystal lasers, including lengths, photonic band gaps and relaxation rates, are indicated.
Under analysis is the influence of the local field upon the competition of transitions in the process of superradiance from incompletely excited thin layer of three level atoms ((Lambda) -diagram of the operating transitions). It is highlighted that while the upper sublevel of the lower doublet starts degenerating, there is a superradiant regime, where the combinative transition leads the development of the superradiance pulse, and the time of the pulse delay depends on the parameters of the local field and splitting of the lower doublet.
The reflection of short optical pulses from the boundary of a resonant medium is investigated theoretically by the coupled system of the Maxwell and optical Bloch equations. In order to describe the reflected wave, the slowly-varying-envelope approximation in space is not exploited. The coherent reflection is shown to be in connection with Dicke superradiance. It takes place if the relaxation time of the polarization is longer than the superradiation time of the atoms in an optically thin boundary layer of the medium. That is why much of the relevant information can be obtained already in the thin-medium limit, which is considered separately. The conditions of strong reflection from an extended medium are similar to the ones found for a thin sample. The transition into the incoherent and stationary regime is discussed.