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

Self-induced transparency on the 1.15-μm line of neon

W. Krieger, P. E. Toschek

Published Jan 1, 1975• 11 citations
Publisher

Abstract

Self-induced transparency in an absorbing neon discharge has been observed on the nonresonance transition $2{s}_{2}(J=1)\ensuremath{-}2{p}_{4}(J=2)$. Since linearly polarized light pulses excite two dipole moments differing by only 18%, the absorber is virtually nondegenerate and superior in simplicity to molecular absorbers. Light pulses, generated from the output of a cw single-frequency 1.15-\ensuremath{\mu}m He-Ne laser oscillator by a pulsed Ne laser amplifier, were transmitted through the absorber. Comparison of the oscilloscope traces of input and output pulses indicated the occurrence of pulse retardation, peak amplification, and pulse breakup. Complete pulse reshaping to the predicted hyperbolic-secant envelope has been observed. The periodicity of transmission versus pulse power, which provides direct evidence of optical nutation, is in agreement with the results of a pulse-area-pulse-energy model.

DOI
10.1103/physreva.11.276

Related papers

Self-Induced Transparency

S. L. McCall, Erwin Louis Hahn

Above a critical power threshold for a given pulse width, a short pulse of coherent traveling-wave optical radiation is observed to propagate with anomalously low energy loss while at resonance with a two-quantum-level system of absorbers. The line shape of the resonant system is determined by inhomogeneous broadening, and the pulse width is short compared to dissipative relaxation times. A new mechanism of self-induced transparency, which accounts for the low energy loss, is analyzed in the ideal limit of a plane wave which excites a resonant medium with no damping present. The stable condition of transparency results after the traversal of the pulse through a few classical absorption lengths into the medium. This condition exists when the initial pulse has evolved into a symmetric hyperbolic-secant pulse function of time and distance, and has the area characteristic of a "$2\ensuremath{\pi}$ pulse." Ideal transparency then persists when coherent induced absorption of pulse energy during the first half of the pulse is followed by coherent induced emission of the same amount of energy back into the beam direction during the second half of the pulse. The effects of dissipative relaxation times upon pulse energy, pulse area, and pulse delay time are analyzed to first order in the ratio of short pulse width to long damping time. The analysis shows that the $2\ensuremath{\pi}$ pulse condition can be maintained if losses caused by damping are compensated by beam focusing. In an amplifying inhomogeneously broadened medium an analytic "$\ensuremath{\pi}$ pulse area" solution is presented in the limit of a sharp leading edge of the pulse. The dynamics of self-induced transparency are studied for the particular effects of Doppler velocities upon a resonant gas. The analysis of transparency for random orientations of dipole moments associated with degenerate rotational states yields modified forms of self-induced transparency behavior, which indicates a finite pulse energy loss as a function of distance in some cases. The effect of self-induced transparency on the photon echo is considered. Experimental observations of self-induced transparency have been made in a ruby sample at resonance with a pulsed ruby-laser beam. Single and multiple $2\ensuremath{\pi}$ pulse outputs have been observed, and pulse areas measured in the range of $2\ensuremath{\pi}$. The experimental results are compared with the predictions of the ideal-plane-wave theory. Deviations from the ideal-plane-wave theory are discussed. An analysis is made of the effect of a transverse mode of the propagating beam upon the transparency properties of the pulse.

Physical Review•Jul 10, 1969•1,394 citations

Coherent pulse propagation and self-induced transparency on degenerate transitions in atomic iodine

Gan Xu, Terence A. King

Coherent propagation of intense short laser pulses through degenerate absorbing media is investigated with the use of an atomic-iodine laser-absorber self-resonant combination. Four degenerate systems, the $^{2}P_{\frac{1}{2}}\ensuremath{-}^{2}P_{\frac{3}{2}}$, $F=3\ensuremath{\leftrightarrow}{F}^{\ensuremath{'}}=4$, $\ensuremath{\Delta}{M}_{F}=0,\ifmmode\pm\else\textpm\fi{}1$ and $F=2\ensuremath{\leftrightarrow}{F}^{\ensuremath{'}}=2$, $\ensuremath{\Delta}{M}_{F}=0,\ifmmode\pm\else\textpm\fi{}1$ transitions, are studied under various conditions. Theoretical analysis based on the "pulse-area---pulse-energy" approach shows different pulse propagation behaviors for three typical types of degeneracy. Experimental results give good agreement with theoretical predictions. It is concluded that self-induced transparency exists in any degenerate two-level system, provided that suitable polarization of radiation is used. The usefulness of self-induced-transparency phenomena for measurements of transitional dipole moment and homogeneous relaxation time is also demonstrated.

Physical Review A•Jul 1, 1984•9 citations

Self-Induced Transparency Phenomena of Single-Mode Pulse Laser Propagating in a Thick Ytterbium Vapor Column

Jonghoon Yi, Hyunmin Park, Yongjoo Rhee +1 more

The variations in pulse shape of a single-mode pulse laser propagating through ytterbium (Yb) atomic medium were investigated experimentally. The laser pulse shape was changed as a function of pulse area and it could be explained well using the area theorem. When the pulse area was close to 2π, the pulse shape was transformed to a hyperbolic secant function after transmission. The transmission curve of the propagating laser vs. the pulse area demonstrated self-induced transparency phenomena well. However, the transmission was markedly reduced when the atomic density was increased above ∼4×1010 atoms/cm3. Several causes; such as collision-induced polarization relaxation, Doppler broadening, laser incoherence, and power broadening, which could induce reduced transmission, were examined. It was the incoherence of the laser that caused reduced transmission because the laser line width was broader than the Fourier-transform limit, and the absorbed energy dissipated through spontaneous emission.

Japanese Journal of Applied Physics•Mar 1, 2000•3 citations

Peak Amplification and Breakup of a Coherent Optical Pulse in a Simple Atomic Absorber

H. M. Gibbs, R. E. Slusher

We report the low-loss propagation, peak amplification, and multiple breakup of a coherent laser pulse undergoing self-induced transparency by interacting with two nondegenerate levels of a highly absorbing gas of Rb atoms. These results are in good agreement with computer solutions of coupled Schr\"odinger and Maxwell equations including relaxation.

Physical Review Letters•Mar 23, 1970•122 citations

Self-Induced Transparency in Atomic Rubidium

R. E. Slusher, H. M. Gibbs

Self-induced transparency has been studied in detail experimentally for a simple two-level atomic absorption. A Hg II laser pulse is used at resonance with the ${D}_{1}$ line of Rb. This system eliminates many previous experimental problems such as nonuniform wave fronts and degenerate off-resonant absorbers. Nonlinear transmission, pulse delays, pulse breakup, peak amplification, incoherent-decay effects, off-resonance effects, and focusing effects have been observed. Quantitative comparison with theory is obtained by computer solutions which include the incoherent decay and optical-pulse shapes of the Hg-Rb system. Good agreement is obtained with the theory of McCall and Hahn. Pulse compression by an order of magnitude is obtained by focusing in the resonant absorber. The theory predicting preferred pulse widths and velocities proposed by Davidovich and Eberly is discussed and found inappropriate for the Hg-Rb and other similar systems.

Physical Review A•Apr 1, 1972•183 citations

Sharp-Line Self-Induced Transparency

H. M. Gibbs, R. E. Slusher

Self-induced transparency (SIT) has been observed under the conditions of sharp-line absorption, i.e., with an inhomogeneous absorption width only one-fourth the spectral width of the pulse. A 5-nsec pulse from a $^{202}\mathrm{Hg}$ ii laser intersected perpendicularly an atomic beam of natural rubidium. The beam slits reduced the Doppler absorption width to about 30 MHz. A particular resolved ${M}_{\mathrm{I}}$ transition of $^{85}\mathrm{Rb}$ was scanned into coincidence with the laser pulse by a 75-KOe magnetic field. With peak absorption depths of 3-6, nonlinear transmission, pulse delays, pulse breakup, and peak amplification were seen and found to be in excellent agreement with sharp-line computer solutions of the Maxwell-Bloch equations. The experimental realization of the sharp-line SIT is of interest because analytical formulas for pulse evolutions are more plentiful and because sharp-line SIT might permit compression of picosecond pulses.

Physical Review A•Dec 1, 1972•62 citations
Self-induced transparency in an absorbing neon discharge has been observed on the nonresonance transition 2s2(J=1)\ensuremath−2p4(J=2)2{s}_{2}(J=1)\ensuremath{-}2{p}_{4}(J=2)2s2​(J=1)\ensuremath−2p4​(J=2). Since linearly polarized light pulses excite two dipole moments differing by only 18%, the absorber is virtually nondegenerate and superior in simplicity to molecular absorbers. Light pulses, generated from the output of a cw single-frequency 1.15-\ensuremath{\mu}m He-Ne laser oscillator by a pulsed Ne laser amplifier, were transmitted through the absorber. Comparison of the oscilloscope traces of input and output pulses indicated the occurrence of pulse retardation, peak amplification, and pulse breakup. Complete pulse reshaping to the predicted hyperbolic-secant envelope has been observed. The periodicity of transmission versus pulse power, which provides direct evidence of optical nutation, is in agreement with the results of a pulse-area-pulse-energy model.
Above a critical power threshold for a given pulse width, a short pulse of coherent traveling-wave optical radiation is observed to propagate with anomalously low energy loss while at resonance with a two-quantum-level system of absorbers. The line shape of the resonant system is determined by inhomogeneous broadening, and the pulse width is short compared to dissipative relaxation times. A new mechanism of self-induced transparency, which accounts for the low energy loss, is analyzed in the ideal limit of a plane wave which excites a resonant medium with no damping present. The stable condition of transparency results after the traversal of the pulse through a few classical absorption lengths into the medium. This condition exists when the initial pulse has evolved into a symmetric hyperbolic-secant pulse function of time and distance, and has the area characteristic of a "$2\ensuremath{\pi}$ pulse." Ideal transparency then persists when coherent induced absorption of pulse energy during the first half of the pulse is followed by coherent induced emission of the same amount of energy back into the beam direction during the second half of the pulse. The effects of dissipative relaxation times upon pulse energy, pulse area, and pulse delay time are analyzed to first order in the ratio of short pulse width to long damping time. The analysis shows that the $2\ensuremath{\pi}$ pulse condition can be maintained if losses caused by damping are compensated by beam focusing. In an amplifying inhomogeneously broadened medium an analytic "$\ensuremath{\pi}$ pulse area" solution is presented in the limit of a sharp leading edge of the pulse. The dynamics of self-induced transparency are studied for the particular effects of Doppler velocities upon a resonant gas. The analysis of transparency for random orientations of dipole moments associated with degenerate rotational states yields modified forms of self-induced transparency behavior, which indicates a finite pulse energy loss as a function of distance in some cases. The effect of self-induced transparency on the photon echo is considered. Experimental observations of self-induced transparency have been made in a ruby sample at resonance with a pulsed ruby-laser beam. Single and multiple $2\ensuremath{\pi}$ pulse outputs have been observed, and pulse areas measured in the range of $2\ensuremath{\pi}$. The experimental results are compared with the predictions of the ideal-plane-wave theory. Deviations from the ideal-plane-wave theory are discussed. An analysis is made of the effect of a transverse mode of the propagating beam upon the transparency properties of the pulse.
Coherent propagation of intense short laser pulses through degenerate absorbing media is investigated with the use of an atomic-iodine laser-absorber self-resonant combination. Four degenerate systems, the $^{2}P_{\frac{1}{2}}\ensuremath{-}^{2}P_{\frac{3}{2}}$, $F=3\ensuremath{\leftrightarrow}{F}^{\ensuremath{'}}=4$, $\ensuremath{\Delta}{M}_{F}=0,\ifmmode\pm\else\textpm\fi{}1$ and $F=2\ensuremath{\leftrightarrow}{F}^{\ensuremath{'}}=2$, $\ensuremath{\Delta}{M}_{F}=0,\ifmmode\pm\else\textpm\fi{}1$ transitions, are studied under various conditions. Theoretical analysis based on the "pulse-area---pulse-energy" approach shows different pulse propagation behaviors for three typical types of degeneracy. Experimental results give good agreement with theoretical predictions. It is concluded that self-induced transparency exists in any degenerate two-level system, provided that suitable polarization of radiation is used. The usefulness of self-induced-transparency phenomena for measurements of transitional dipole moment and homogeneous relaxation time is also demonstrated.
The variations in pulse shape of a single-mode pulse laser propagating through ytterbium (Yb) atomic medium were investigated experimentally. The laser pulse shape was changed as a function of pulse area and it could be explained well using the area theorem. When the pulse area was close to 2π, the pulse shape was transformed to a hyperbolic secant function after transmission. The transmission curve of the propagating laser vs. the pulse area demonstrated self-induced transparency phenomena well. However, the transmission was markedly reduced when the atomic density was increased above ∼4×1010 atoms/cm3. Several causes; such as collision-induced polarization relaxation, Doppler broadening, laser incoherence, and power broadening, which could induce reduced transmission, were examined. It was the incoherence of the laser that caused reduced transmission because the laser line width was broader than the Fourier-transform limit, and the absorbed energy dissipated through spontaneous emission.
Self-induced transparency has been studied in detail experimentally for a simple two-level atomic absorption. A Hg II laser pulse is used at resonance with the D1{D}_{1}D1​ line of Rb. This system eliminates many previous experimental problems such as nonuniform wave fronts and degenerate off-resonant absorbers. Nonlinear transmission, pulse delays, pulse breakup, peak amplification, incoherent-decay effects, off-resonance effects, and focusing effects have been observed. Quantitative comparison with theory is obtained by computer solutions which include the incoherent decay and optical-pulse shapes of the Hg-Rb system. Good agreement is obtained with the theory of McCall and Hahn. Pulse compression by an order of magnitude is obtained by focusing in the resonant absorber. The theory predicting preferred pulse widths and velocities proposed by Davidovich and Eberly is discussed and found inappropriate for the Hg-Rb and other similar systems.
Self-induced transparency (SIT) has been observed under the conditions of sharp-line absorption, i.e., with an inhomogeneous absorption width only one-fourth the spectral width of the pulse. A 5-nsec pulse from a 202Hg^{202}\mathrm{Hg}202Hg ii laser intersected perpendicularly an atomic beam of natural rubidium. The beam slits reduced the Doppler absorption width to about 30 MHz. A particular resolved MI{M}_{\mathrm{I}}MI​ transition of 85Rb^{85}\mathrm{Rb}85Rb was scanned into coincidence with the laser pulse by a 75-KOe magnetic field. With peak absorption depths of 3-6, nonlinear transmission, pulse delays, pulse breakup, and peak amplification were seen and found to be in excellent agreement with sharp-line computer solutions of the Maxwell-Bloch equations. The experimental realization of the sharp-line SIT is of interest because analytical formulas for pulse evolutions are more plentiful and because sharp-line SIT might permit compression of picosecond pulses.