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

Physical Review A

Continuum-coupled solitary waves in a resonant amplifier with excited-state absorption

Roman L. Kolesov, Elena Kuznetsova, Olga A. Kocharovskaya

Published Apr 19, 2005• 3 citations
Publisher

Abstract

Propagation of a short pulse in an amplifier with excited-state absorption (ESA) is considered. As is shown both analytically and numerically, if the stimulated emission cross section exceeds the ESA cross section, a steady-state pulse of a dissipative soliton type can exist. The parameters of the soliton, i.e., its width, amplitude, and velocity, are calculated. In the opposite case, amplification is inhibited unless ESA is suppressed using an additional control field applied to a transition adjacent to the ESA one [Phys. Rev. A 70, 043801 (2004)]. Propagation and amplification dynamics of a probe pulse in the presence of a strong control field is analyzed. In the limit of a continuous wave control field, a dissipative soliton solution forms, which is a pair of pulses similar to adiabatons. In the case of a pulsed control field, amplification of the probe pulse is transient. Conditions for optimal amplification are derived. Estimates of soliton parameters are made for rare-earth and transition-metal ion-activated laser crystals.

DOI
10.1103/physreva.71.043815

Related papers

Suppression of excited state absorption (ESA) in lasing materials and non-linear optical pulse propagation dynamics in the media subject to ESA

Roman L. Kolesov, Elena Kuznetsova, Olga A. Kocharovskaya

A method of suppression of excited state absorption (ESA) by means of electromagnetically induced transparency (EIT) is proposed. Optical pulse propagation in the medium subject to ESA is considered and relaxation soliton-type solutions are found.

Conference on Lasers and Electro-Optics•Jan 1, 2005•0 citations

Suppression of excited-state absorption: A path to ultraviolet tunable solid-state lasers

Elena Kuznetsova, Roman L. Kolesov, Olga A. Kocharovskaya

A method of suppression of losses due to excited-state absorption (ESA) in laser crystals is proposed, based on the well-known phenomenon of electromagnetically induced transparency. Typical situations in which ESA prevents lasing are considered. Theoretical analysis shows that by using an additional driving laser field one can inhibit ESA and make lasing possible. On the basis of available spectroscopic information estimates for rare-earth-ion-doped laser materials are presented. They show the feasibility of obtaining optical gain at parity-allowed $4{f}^{n}\ensuremath{\leftrightarrow}4{f}^{n\ensuremath{-}1}5d$ transitions of rare-earth ions in the ultraviolet spectral region after suppression of ESA at an emission wavelength into the conduction band of a host material.

Physical Review A•Oct 4, 2004•17 citations

Coherent vector π pulse in optical amplifiers

Elena V. Kazantseva, Andrei I. Maimistov, S. O. Elyutin +1 more

We obtain an exact linearly polarized vector solitary solution for the amplification of an optical pulse with a time width short compared with both population and polarization decay time. This dissipative soliton results from the balance between the gain from inverted resonant two-level atoms and the linear loss of the host material. We suppose that the excited state of the active centers is degenerate on the projection of the angular momentum, with a symmetric state of inversion. Quite remarkably, we find that after the passing of the pulse, the atomic medium does not return to the ground state, and a finite Zeeman coherence is generated. Numerical simulations demonstrate the stability of vector π solitons with an arbitrary state of elliptical polarization in the presence of both linear birefringence and group-velocity dispersion of the host material.

arXiv:nlin/0607015•Journal of the Optical Society of America B•Feb 15, 2007•2 citations

Limitations of steady state solutions to a two-state model of population oscillations and hole burning

M. G. Payne, L. Deng, Kaijun Jiang

We consider a two-state system driven by an on-resonance, continuous wave pump laser and a much weaker pulsed probe laser that is slightly detuned from the pump laser frequency (usually this detuning is about ${\ensuremath{\omega}}_{p}\ensuremath{-}{\ensuremath{\omega}}_{P}=\ensuremath{\Delta}\ensuremath{\approx}1\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}$). The upper state population is assumed to be slowly decaying, but the off-diagonal element of the density matrix decays rapidly due to homogeneous broadening. This model has been solved by others in rare-earth-element-doped fibers and crystals in a usual steady state approximation for slow optical wave propagation. We show that in general the usual steady state approximation does not apply unless either $\ensuremath{\Delta}\ensuremath{\tau}⪢1$ or $(2S+1){\ensuremath{\gamma}}_{2}\ensuremath{\tau}⪢1$ where ${\ensuremath{\gamma}}_{2}$ is the decay rate of the excited state population, $\ensuremath{\tau}$ is the pulse length of the probe field, and $2S$ is the saturation parameter. Both conditions, however, are not satisfied in many population-oscillation- and corresponding group-velocity-reduction-related studies. Our theory and corresponding numerical simulations have indicated that for probe pulses that are much shorter than the lifetime of the upper state, there is no analytical theory for the amplitude, pulse shape, and group velocity of the probe field. In addition, there is no reason to assume that the group velocity remains small when ${\ensuremath{\gamma}}_{2}\ensuremath{\tau}⪡1$ and there is no reason to believe that many pulse length decays can be obtained for such short pulses.

Physical Review A•Oct 12, 2006•4 citations

The conditions for the propagation of soliton-like pulses in nonlinear media with reverse saturable absorption

Rimma Sh. Zatrudina, Vladislav Yu. Gribkov

The propagation of short light pulses in a three-level medium with reverse saturable absorption taking into account relaxation is considered. It is shown that in such a medium soliton-like pulses of constant duration can propagate. The areas in the five-dimensional parameter space in which such pulses can exist are determined by numerical methods. The parameters of the problem are the characteristics of the medium – the relaxation time, the ratio of the absorption cross sections of the first excited and ground states and the initial transmittance, as well as the characteristics of the pulse – the duration and intensity.

Saratov Fall Meeting: Laser Physics, Photonic Technologies, and Molecular Modeling•Jun 3, 2019•0 citations

Analytical study of pulse amplification in silicon Raman amplifiers

Ivan D. Rukhlenko, Malin Premaratne, Ivan L. Garanovich +2 more

The nonlinear process of stimulated Raman scattering is important for silicon photonics as it enables optical amplification and lasing. To understand the dynamics of silicon Raman amplifiers (SRAs), a numerical approach is generally employed, even though it provides little insight into the contribution of different SRA parameters to the signal amplification process. In this paper, we solve the coupled pump-signal equations analytically under realistic conditions, and derive an exact formula for the envelope of a signal pulse when picosecond optical pulses are amplified inside a SRA pumped by a continuous-wave laser beam. Our solution is valid for an arbitrary pulse shape and fully accounts for the Raman gain-dispersion effects, including temporal broadening and group-velocity reduction (a slow-light effect). It can be applied to any pumping scenario and leads to a simple analytic expression for the maximum optical delay produced by the Raman dispersion in a unidirectionally pumped SRA. We employ our analytical formulation to study the evolution of optical pulses with Gaussian, exponential, and Lorentzian shapes. The ability of a Gaussian pulse to maintain its shape through the amplifier makes it possible to realize soliton-like propagation of chirped Gaussian pulses in SRAs. We obtain analytical expressions for the required linear chirp and temporal width of a soliton-like pulse in terms of the net signal gain and the Raman-dispersion parameter. Our results are useful for optimizing the performance of SRAs and for engineering controllable signal delays.

Optics Express•Aug 12, 2010•10 citations
Propagation of a short pulse in an amplifier with excited-state absorption (ESA) is considered. As is shown both analytically and numerically, if the stimulated emission cross section exceeds the ESA cross section, a steady-state pulse of a dissipative soliton type can exist. The parameters of the soliton, i.e., its width, amplitude, and velocity, are calculated. In the opposite case, amplification is inhibited unless ESA is suppressed using an additional control field applied to a transition adjacent to the ESA one [Phys. Rev. A 70, 043801 (2004)]. Propagation and amplification dynamics of a probe pulse in the presence of a strong control field is analyzed. In the limit of a continuous wave control field, a dissipative soliton solution forms, which is a pair of pulses similar to adiabatons. In the case of a pulsed control field, amplification of the probe pulse is transient. Conditions for optimal amplification are derived. Estimates of soliton parameters are made for rare-earth and transition-metal ion-activated laser crystals.
A method of suppression of losses due to excited-state absorption (ESA) in laser crystals is proposed, based on the well-known phenomenon of electromagnetically induced transparency. Typical situations in which ESA prevents lasing are considered. Theoretical analysis shows that by using an additional driving laser field one can inhibit ESA and make lasing possible. On the basis of available spectroscopic information estimates for rare-earth-ion-doped laser materials are presented. They show the feasibility of obtaining optical gain at parity-allowed $4{f}^{n}\ensuremath{\leftrightarrow}4{f}^{n\ensuremath{-}1}5d$ transitions of rare-earth ions in the ultraviolet spectral region after suppression of ESA at an emission wavelength into the conduction band of a host material.
We obtain an exact linearly polarized vector solitary solution for the amplification of an optical pulse with a time width short compared with both population and polarization decay time. This dissipative soliton results from the balance between the gain from inverted resonant two-level atoms and the linear loss of the host material. We suppose that the excited state of the active centers is degenerate on the projection of the angular momentum, with a symmetric state of inversion. Quite remarkably, we find that after the passing of the pulse, the atomic medium does not return to the ground state, and a finite Zeeman coherence is generated. Numerical simulations demonstrate the stability of vector π solitons with an arbitrary state of elliptical polarization in the presence of both linear birefringence and group-velocity dispersion of the host material.
We consider a two-state system driven by an on-resonance, continuous wave pump laser and a much weaker pulsed probe laser that is slightly detuned from the pump laser frequency (usually this detuning is about ${\ensuremath{\omega}}_{p}\ensuremath{-}{\ensuremath{\omega}}_{P}=\ensuremath{\Delta}\ensuremath{\approx}1\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}$). The upper state population is assumed to be slowly decaying, but the off-diagonal element of the density matrix decays rapidly due to homogeneous broadening. This model has been solved by others in rare-earth-element-doped fibers and crystals in a usual steady state approximation for slow optical wave propagation. We show that in general the usual steady state approximation does not apply unless either $\ensuremath{\Delta}\ensuremath{\tau}⪢1$ or $(2S+1){\ensuremath{\gamma}}_{2}\ensuremath{\tau}⪢1$ where ${\ensuremath{\gamma}}_{2}$ is the decay rate of the excited state population, $\ensuremath{\tau}$ is the pulse length of the probe field, and 2S2S2S is the saturation parameter. Both conditions, however, are not satisfied in many population-oscillation- and corresponding group-velocity-reduction-related studies. Our theory and corresponding numerical simulations have indicated that for probe pulses that are much shorter than the lifetime of the upper state, there is no analytical theory for the amplitude, pulse shape, and group velocity of the probe field. In addition, there is no reason to assume that the group velocity remains small when ${\ensuremath{\gamma}}_{2}\ensuremath{\tau}⪡1$ and there is no reason to believe that many pulse length decays can be obtained for such short pulses.
The propagation of short light pulses in a three-level medium with reverse saturable absorption taking into account relaxation is considered. It is shown that in such a medium soliton-like pulses of constant duration can propagate. The areas in the five-dimensional parameter space in which such pulses can exist are determined by numerical methods. The parameters of the problem are the characteristics of the medium – the relaxation time, the ratio of the absorption cross sections of the first excited and ground states and the initial transmittance, as well as the characteristics of the pulse – the duration and intensity.
The nonlinear process of stimulated Raman scattering is important for silicon photonics as it enables optical amplification and lasing. To understand the dynamics of silicon Raman amplifiers (SRAs), a numerical approach is generally employed, even though it provides little insight into the contribution of different SRA parameters to the signal amplification process. In this paper, we solve the coupled pump-signal equations analytically under realistic conditions, and derive an exact formula for the envelope of a signal pulse when picosecond optical pulses are amplified inside a SRA pumped by a continuous-wave laser beam. Our solution is valid for an arbitrary pulse shape and fully accounts for the Raman gain-dispersion effects, including temporal broadening and group-velocity reduction (a slow-light effect). It can be applied to any pumping scenario and leads to a simple analytic expression for the maximum optical delay produced by the Raman dispersion in a unidirectionally pumped SRA. We employ our analytical formulation to study the evolution of optical pulses with Gaussian, exponential, and Lorentzian shapes. The ability of a Gaussian pulse to maintain its shape through the amplifier makes it possible to realize soliton-like propagation of chirped Gaussian pulses in SRAs. We obtain analytical expressions for the required linear chirp and temporal width of a soliton-like pulse in terms of the net signal gain and the Raman-dispersion parameter. Our results are useful for optimizing the performance of SRAs and for engineering controllable signal delays.