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

Journal of the Optical Society of America B

Near-resonant propagation of the light pulse in a homogeneously broadened two-level medium

W. Miklaszewski

Published Oct 1, 1995• 14 citations
Publisher

Abstract

Off-resonance light-pulse propagation in a homogeneously broadened medium composed of two-level atoms is numerically simulated. The dependence of the stabilization effect of the pulse area on the detuning and perpendicular relaxation rate is investigated. The dependence of carrier frequency on propagation distance is analyzed.
DOI
10.1364/josab.12.001909

Related papers

Coherent absorption in a homogeneously broadened medium

Lee E. Estes, D. Eteson, Lorenzo M. Narducci

An investigation of the propagation properties of a short pulse in a resonant absorber with a homogeneously broadened transition is presented with two main questions in mind: 1) the influence of the input pulse area on the transitory regime and on the steady-state propagation; 2) the effects of atomic coherence on the pulse shaping and the time delay of the leading edge of the pulse. The transitory regime of a propagating pulse is investigated and the stability of some asymptotic wave form confirmed. As expected, the transversal relaxation mechanism affects critically the major features of the coherent interaction. A detailed analysis of this problem is also presented.

IEEE Journal of Quantum Electronics•Sep 1, 1970•8 citations

Propagation and amplification of ultrashort light pulses in a resonant two-level medium: finite-difference time-domain analysis

A.V. Tarasishin, Sergey A. Magnitskii, Aleksei M. Zheltikov

Propagation and amplification of an ultrashort laser pulse in a two-level medium is numerically investigated with the use of the finite-difference time-domain (FDTD) procedure simultaneously solving Maxwell and Schrodinger equations with no assumptions characteristic of slowly varying envelope approximation. Comparison of the results of FDTD numerical simulations with the predictions of the pulse area theorem has demonstrated that the developed numerical procedure provides an adequate description of pulse evolution in a two-level medium. Amplification of ultrashort light pulses in a two-level medium is analyzed. Two methods of improving the gain of ultrashort pulses in a two-level medium by modulating the spatial distribution of dipole moments of resonant transitions and using initially chirped frequency-detuned pulses are explored.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 31, 2002•0 citations

Coherent optical pulse combination and pulse area evolution

Wei An

Interaction equations of light with a two-level atomic system have been derived under conditions of relaxation, damping and detuning. Simulation results are given about the propagation of coherent light pulses in a resonant absorbing medium. In addition to pulse breakup, a new phenomenon of two-pulse combination and the evolution of pulse area have been observed theoretically.

Acta Optica Sinica•Jan 1, 1985•0 citations

Carrier-Frequency Distance Dependence of a Pulse Propagating in a Two-Level System

J.-C. Diels, Erwin Louis Hahn

A study is made of the distance dependence of carrier phase and average frequency of an electromagnetic pulse propagating through a quantum two-level system. Phenomenological differential equations are introduced to describe the distance rate of change of first- and second-moment deviations of the pulse carrier frequency from its original input frequency. In equilibrium the equations predict characteristics of pulse propagation in steady state. For both absorber and amplifier cases, computer plots are presented of the distance dependence of pulse shape, carrier phase, Fourier amplitude, and pulse energy for selected types of homogeneous and inhomogeneous line broadening and for specific input-pulse conditions. Off-resonance formation of a single $2\ensuremath{\pi}$ hyperbolic secant pulse of self-induced transparency may evolve from input-pulse areas less than $\ensuremath{\pi}$, as well as slightly greater than $\ensuremath{\pi}$, accompanied by frequency modulation and pulse breakup. The amplification of pulsed carrier radiation is accompanied by frequency pulling toward resonance. With and without phase modulation, stability conditions for stable pulse propagation are obtained. Either frequency pulling toward or frequency pushing away from resonance is dominant for an absorber, according to the dominance, respectively, of homogeneous or inhomogeneous line broadening. In the slowly-varying-pulse-envelope approximation, a steady-state solution is found for a symmetrically-phase-modulated pulse propagating in an amplifier with scattering losses. The mean carrier frequency for the pulse is displaced off resonance by one linewidth above the resonance transition frequency of a homogeneously broadened system.

Physical Review A•Aug 1, 1973•56 citations

Near-resonant propagation of short pulses in a two-level medium

Xiangyang Yu, Wei Liu, Cheng Li

We present a numerical method for solving the Maxwell-Bloch equations describing pulse propagation for a two-level medium. The method is accurate, efficient, stable, and well suited for this type of simultaneous equations. By applying the numerical scheme we investigate the evolutions of pulse area, pulse propagation, pulse velocity, and spectral shapes under both homogeneous and inhomogeneous broadening conditions. The results show that the area evolution and pulse-reshaping procedure are significantly influenced by detuning and inhomogeneous line shape, which also impact the oscillation tail and pulse peak. In addition, the pulse-peak traces indicated the pulse velocity always increases with greater deviation in pulse-area value from the value 2\ensuremath{\pi}. We also demonstrate the pulse velocity increased for a larger detuning or a wider inhomogeneous line shape. Furthermore, the spectral feature shows that pulse spectra evolve into an oscillating shape.

Physical Review A•Sep 9, 2011•10 citations

Near-resonance nonlinear propagation of monochromatic radiation in a gas medium

J. I. Cotrim Vasconcellos

Using the exact solution for a sine-driven two-level atom we have calculated the nonexponential attenuation experienced by a monochromatic electromagnetic beam nearly resonant with a gas of two-level atoms. The atoms are assumed to undergo collision, spontaneous decay plus inhomogeneous (Doppler, etc.) broadening. Resulting intensity-vs-distance plots for a plane wave are given for various degrees of relative homogeneous and inhomogeneous linewidths, for several saturation conditions and for several detuning frequencies. A comparison is also made with collision-broadened and linear attenuation regimes.

Journal of Applied Physics•Apr 1, 1979•0 citations
An investigation of the propagation properties of a short pulse in a resonant absorber with a homogeneously broadened transition is presented with two main questions in mind: 1) the influence of the input pulse area on the transitory regime and on the steady-state propagation; 2) the effects of atomic coherence on the pulse shaping and the time delay of the leading edge of the pulse. The transitory regime of a propagating pulse is investigated and the stability of some asymptotic wave form confirmed. As expected, the transversal relaxation mechanism affects critically the major features of the coherent interaction. A detailed analysis of this problem is also presented.
Propagation and amplification of an ultrashort laser pulse in a two-level medium is numerically investigated with the use of the finite-difference time-domain (FDTD) procedure simultaneously solving Maxwell and Schrodinger equations with no assumptions characteristic of slowly varying envelope approximation. Comparison of the results of FDTD numerical simulations with the predictions of the pulse area theorem has demonstrated that the developed numerical procedure provides an adequate description of pulse evolution in a two-level medium. Amplification of ultrashort light pulses in a two-level medium is analyzed. Two methods of improving the gain of ultrashort pulses in a two-level medium by modulating the spatial distribution of dipole moments of resonant transitions and using initially chirped frequency-detuned pulses are explored.
A study is made of the distance dependence of carrier phase and average frequency of an electromagnetic pulse propagating through a quantum two-level system. Phenomenological differential equations are introduced to describe the distance rate of change of first- and second-moment deviations of the pulse carrier frequency from its original input frequency. In equilibrium the equations predict characteristics of pulse propagation in steady state. For both absorber and amplifier cases, computer plots are presented of the distance dependence of pulse shape, carrier phase, Fourier amplitude, and pulse energy for selected types of homogeneous and inhomogeneous line broadening and for specific input-pulse conditions. Off-resonance formation of a single $2\ensuremath{\pi}$ hyperbolic secant pulse of self-induced transparency may evolve from input-pulse areas less than $\ensuremath{\pi}$, as well as slightly greater than $\ensuremath{\pi}$, accompanied by frequency modulation and pulse breakup. The amplification of pulsed carrier radiation is accompanied by frequency pulling toward resonance. With and without phase modulation, stability conditions for stable pulse propagation are obtained. Either frequency pulling toward or frequency pushing away from resonance is dominant for an absorber, according to the dominance, respectively, of homogeneous or inhomogeneous line broadening. In the slowly-varying-pulse-envelope approximation, a steady-state solution is found for a symmetrically-phase-modulated pulse propagating in an amplifier with scattering losses. The mean carrier frequency for the pulse is displaced off resonance by one linewidth above the resonance transition frequency of a homogeneously broadened system.
We present a numerical method for solving the Maxwell-Bloch equations describing pulse propagation for a two-level medium. The method is accurate, efficient, stable, and well suited for this type of simultaneous equations. By applying the numerical scheme we investigate the evolutions of pulse area, pulse propagation, pulse velocity, and spectral shapes under both homogeneous and inhomogeneous broadening conditions. The results show that the area evolution and pulse-reshaping procedure are significantly influenced by detuning and inhomogeneous line shape, which also impact the oscillation tail and pulse peak. In addition, the pulse-peak traces indicated the pulse velocity always increases with greater deviation in pulse-area value from the value 2\ensuremath{\pi}. We also demonstrate the pulse velocity increased for a larger detuning or a wider inhomogeneous line shape. Furthermore, the spectral feature shows that pulse spectra evolve into an oscillating shape.
Using the exact solution for a sine-driven two-level atom we have calculated the nonexponential attenuation experienced by a monochromatic electromagnetic beam nearly resonant with a gas of two-level atoms. The atoms are assumed to undergo collision, spontaneous decay plus inhomogeneous (Doppler, etc.) broadening. Resulting intensity-vs-distance plots for a plane wave are given for various degrees of relative homogeneous and inhomogeneous linewidths, for several saturation conditions and for several detuning frequencies. A comparison is also made with collision-broadened and linear attenuation regimes.