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

Optics Letters

Optical precursors in coupled-resonator-induced transparency

Tohru Oishi, Ryuta X. SUZUKI, Parvin Sultana, Makoto Tomita

Published Jul 13, 2012• 14 citations
Publisher

Abstract

We experimentally examined the propagation of temporally square modulated optical pulses through a coupled ring resonator. Sharp transient spikes appeared as the square pulses entered the system. The main signal gradually grew up through coupled-resonator-induced transparency (CRIT), with the time constant determined by a second resonator. Transient spikes were attributed to the higher and lower spectral components of the incident pulse, to which the resonators cannot respond; hence, they were interpreted as optical precursors. The experiments, therefore, demonstrated that precursors and the main signal can be observed separately, with amplitudes comparable to that of the incident step in CRIT.

DOI
10.1364/ol.37.002964

Related papers

Transition from an optical precursor in coupled-resonator-induced transparency to coherent energy exchange in Autler-Townes splitting

Tohru Oishi, Ryuta X. SUZUKI, Aminul I. Talukder +1 more

We investigated the transient responses of coupled optical resonators, after they were injected with square modulated temporal pulses. A sharp spike, attributed to the optical precursor in coupled-resonator-induced transparency, appeared when the coupling between the resonators was weak. As the coupling strength increased, the resonance spectrum developed clearly separated double dips of Autler-Townes splitting, and the precursor spike transformed into an oscillatory structure. These temporal oscillations were attributed to the coherent energy exchange between two resonators. Theoretical calculations were in good agreement with the experimental observations.

Physical Review A•Aug 27, 2013•14 citations

Observability of optical precursors

Jaak Aaviksoo, J. Lippmaa, J. Kühl

The appearance of optical precursors in the transient response of linear dielectric media is elucidated by combining temporal and spectral analysis. Numerical calculations show that it is feasible to detect experimentally the precursors in the transient responses of excitonic resonances to picosecond excitation. A novel experiment is proposed in which precursors are spatially separated from the main part of the signal in a thin-prism sample. Some features of the transients in reflection are analyzed.

Journal of the Optical Society of America B•Aug 1, 1988•32 citations

Optical coherent transients in cold atoms: From free-induction decay to optical precursors

J. F. Chen, Shuyuan Wang, Dong Wei +3 more

We report theoretical and experimental studies of the propagation of a square-modulated laser pulse through a laser-cooled atomic ensemble of two-level absorbers, as well as through a three-level system with electromagnetically induced transparency. We find that the transmission characteristics over a wide range of optical depth can be fully accounted for as optical coherent transients excited by the wide spectral content of the square-modulated optical pulse. We show that both time-domain atom-field coupled equations and frequency-domain linear dispersion theory give precisely the same description of the optical transients at a weak power limit. At low optical depth with moderate absorption, resonant excitation dominates and free-induction decay (FID) contributes mostly to the transient field. At high optical depth when absorption and propagation effects become significant, lossless optical precursors start to dominate the transient response. By varying the optical depth from 0 to 45, we observe that optical transients evolve gradually from FID to optical precursors. We thus show that FID and optical precursors, which have been considered as two different optical transients for many decades, can be unified within a single theoretical frame and they are the manifestations of the same physical process in two different regimes.

Physical Review A•Mar 26, 2010•29 citations

Slow-light-induced interference with stacked optical precursors for square input pulses

Heejeong Jeong, Shengwang Du

We theoretically study the stacked optical transients generated from a series of square pulses passing through a cold atomic ensemble. Using the hybrid analysis and fast Fourier transform, we identify the stacked coherent transients [Europhys. Lett. 4, 47 (1987)] as optical precursors. With slow-light and electromagnetically induced transparency, we obtain nearly 700% transmitted intensity at the transient spikes resulting from the interference between the delayed main field and the stacked optical precursors.

Optics Letters•Jan 9, 2010•24 citations

Two-way transparency in the light-matter interaction: Optical precursors with electromagnetically induced transparency

Heejeong Jeong, Shengwang Du

We theoretically study classical step-modulated pulse propagation in an optically thick medium with electromagnetically induced transparency (EIT) using a fast Fourier transform and a proposed hybrid-asymptotic analysis. The 100% transmitted leading edge traveling at $c$ consists of Sommerfeld-Brillouin precursors. The main signal, falling inside of the narrow EIT window, experiences a steep dispersion and slow group velocity. We suggest active control of the precursors and main signal separately by adjusting the parameters of the medium and incident pulse.

Physical Review A•Jan 8, 2009•37 citations

Inverted coupled-resonator-induced transparency

Tohru Oishi, Makoto Tomita

The inverted spectral structure of coupled-resonator-induced transparency was experimentally demonstrated using an amplifying optical ring resonator, to which another dark ring resonator was coupled. A nonamplifying spectral window was induced by the dark resonator in an otherwise strongly amplifying spectral region. Within the induced window, sharp anomalous dispersion was expected. Propagation of nearly Gaussian-shaped optical pulses was observed; the pulses propagated through the amplifying medium with a negative delay of $\ensuremath{-}$20.8 ns, without significant amplification, attenuation, or pulse deformation. The inverted induced-transparency system, producing tunable fast light, is a complementary system to traditional induced-transparency systems that produce slow light and could be potentially useful in numerous applications.

Physical Review A•Jul 9, 2013•19 citations
We experimentally examined the propagation of temporally square modulated optical pulses through a coupled ring resonator. Sharp transient spikes appeared as the square pulses entered the system. The main signal gradually grew up through coupled-resonator-induced transparency (CRIT), with the time constant determined by a second resonator. Transient spikes were attributed to the higher and lower spectral components of the incident pulse, to which the resonators cannot respond; hence, they were interpreted as optical precursors. The experiments, therefore, demonstrated that precursors and the main signal can be observed separately, with amplitudes comparable to that of the incident step in CRIT.
We investigated the transient responses of coupled optical resonators, after they were injected with square modulated temporal pulses. A sharp spike, attributed to the optical precursor in coupled-resonator-induced transparency, appeared when the coupling between the resonators was weak. As the coupling strength increased, the resonance spectrum developed clearly separated double dips of Autler-Townes splitting, and the precursor spike transformed into an oscillatory structure. These temporal oscillations were attributed to the coherent energy exchange between two resonators. Theoretical calculations were in good agreement with the experimental observations.
The appearance of optical precursors in the transient response of linear dielectric media is elucidated by combining temporal and spectral analysis. Numerical calculations show that it is feasible to detect experimentally the precursors in the transient responses of excitonic resonances to picosecond excitation. A novel experiment is proposed in which precursors are spatially separated from the main part of the signal in a thin-prism sample. Some features of the transients in reflection are analyzed.
We report theoretical and experimental studies of the propagation of a square-modulated laser pulse through a laser-cooled atomic ensemble of two-level absorbers, as well as through a three-level system with electromagnetically induced transparency. We find that the transmission characteristics over a wide range of optical depth can be fully accounted for as optical coherent transients excited by the wide spectral content of the square-modulated optical pulse. We show that both time-domain atom-field coupled equations and frequency-domain linear dispersion theory give precisely the same description of the optical transients at a weak power limit. At low optical depth with moderate absorption, resonant excitation dominates and free-induction decay (FID) contributes mostly to the transient field. At high optical depth when absorption and propagation effects become significant, lossless optical precursors start to dominate the transient response. By varying the optical depth from 0 to 45, we observe that optical transients evolve gradually from FID to optical precursors. We thus show that FID and optical precursors, which have been considered as two different optical transients for many decades, can be unified within a single theoretical frame and they are the manifestations of the same physical process in two different regimes.
We theoretically study the stacked optical transients generated from a series of square pulses passing through a cold atomic ensemble. Using the hybrid analysis and fast Fourier transform, we identify the stacked coherent transients [Europhys. Lett. 4, 47 (1987)] as optical precursors. With slow-light and electromagnetically induced transparency, we obtain nearly 700% transmitted intensity at the transient spikes resulting from the interference between the delayed main field and the stacked optical precursors.
We theoretically study classical step-modulated pulse propagation in an optically thick medium with electromagnetically induced transparency (EIT) using a fast Fourier transform and a proposed hybrid-asymptotic analysis. The 100% transmitted leading edge traveling at ccc consists of Sommerfeld-Brillouin precursors. The main signal, falling inside of the narrow EIT window, experiences a steep dispersion and slow group velocity. We suggest active control of the precursors and main signal separately by adjusting the parameters of the medium and incident pulse.
The inverted spectral structure of coupled-resonator-induced transparency was experimentally demonstrated using an amplifying optical ring resonator, to which another dark ring resonator was coupled. A nonamplifying spectral window was induced by the dark resonator in an otherwise strongly amplifying spectral region. Within the induced window, sharp anomalous dispersion was expected. Propagation of nearly Gaussian-shaped optical pulses was observed; the pulses propagated through the amplifying medium with a negative delay of $\ensuremath{-}$20.8 ns, without significant amplification, attenuation, or pulse deformation. The inverted induced-transparency system, producing tunable fast light, is a complementary system to traditional induced-transparency systems that produce slow light and could be potentially useful in numerous applications.