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arXiv:1102.4998 · Physical Review A

Approach to accurately measuring the speed of optical precursors

Chuan-Feng Li, Zong‐Quan Zhou, Heejeong Jeong, Guang‐Can Guo

Published Oct 3, 2011• 11 citations
arXivHTMLPDF

Abstract

Precursors can serve as a bound on the speed of information with dispersive medium. We propose a method to identify the speed of optical wave fronts using polarization-based interference in a solid-state device, which can bound the accuracy of the speed of wave fronts to less than ${10}^{\ensuremath{-}4}$ with conventional experimental conditions. Our proposal may have important implications for optical communications and fast information processing.

DOI
10.1103/physreva.84.043803

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Experimental observation of optical precursors in optically pumped crystals

Zong‐Quan Zhou, Chuan-Feng Li, Guang‐Can Guo

We experimentally observed optical precursors in optically pumped crystals using polarization-based interference. By switching the user-programmable medium among the fast light, slow light, and no-dispersion regimes, we observed an unchanged polarization state for the wave fronts. The robust polarization-encoded information carried by wave fronts suggests that precursors are the preferred carriers for both quantum and classical information in communication networks.

arXiv:1304.3547•Physical Review A•Apr 11, 2013•6 citations

Two Speeds at Once

In the seemingly never-ending quest to speed up data transfer, light constitutes the ultimate communications carrier. However, the speed of light through a medium is generally constant, making photon storage and on-chip optical signal processing difficult tasks to implement. To slow things down, coupling microring resonators to an optical waveguide can effectively delay the propagation of photons. It has also been shown that the dispersion properties of these devices can distort the pulse profile so that the speed of light appears to be exceeded, providing so-called fast-light. From a practical viewpoint, it would be desirable to combine both of these properties in a single optical device. Recent work has found that these microring resonators are birefringent with respect to the polarization of the propagating light; i.e., one polarization simultaneously propagates faster than its orthogonal counterpart. From calculations, Fietz and Shvets show that by using light of mixed polarization and adjusting the mixing angle of that light and the number of microring resonators along the waveguide, a tunable delay time between polarized wave packets of incoming light should be readily achieved. — ISO

Science•Jan 3, 2008•1 citation

Optical precursors in the transient response of excitons in GaAs

Jaak Aaviksoo, J. Kühl, Klaus Ploog

The appearance of precursors at pulse propagation in a dispersive medium was predicted in 1914.1 Precursors were detected experimentally for the propagation of microwave pulses in waveguides,2 whereas observation of optical precursors has not been reported so far. Experimental pulse propagation studies in the optical domain have revealed severe pulse velocity reduction near the material resonances, which has been interpreted in the framework of group velocity.3

•May 21, 1990•0 citations

Fast Causal Information Transmission in a Medium With a Slow Group Velocity

Michael D. Stenner, Daniel J. Gauthier, Mark Allen Neifeld

It is widely believed that the velocity of information ${\ensuremath{\upsilon}}_{i}$ encoded on an optical pulse is equal to the group velocity ${\ensuremath{\upsilon}}_{g}$, at least when ${\ensuremath{\upsilon}}_{g}$ is less than the speed of light in vacuum $c$. On the other hand, several authors suggest that ${\ensuremath{\upsilon}}_{i}=c$, although the size of the signal traveling at this velocity may be small, thereby making it difficult to measure. Here, we measure ${\ensuremath{\upsilon}}_{i}$ for pulses propagating through a resonant ``slow-light'' medium where ${\ensuremath{\upsilon}}_{g}\ensuremath{\approx}0.006c$. We find ${\ensuremath{\upsilon}}_{i}=1.03{c}_{\ensuremath{-}0.25c}^{+0.49c}$, or that ${\ensuremath{\upsilon}}_{i}\ensuremath{\approx}168{\ensuremath{\upsilon}}_{g}$, clearly demonstrating that the speed of information cannot be generally described by ${\ensuremath{\upsilon}}_{g}$, but is characterized by its own velocity.

Physical Review Letters•Feb 9, 2005•64 citations

Optical precursors via spontaneously generated coherence

Nuo Ba, Lei Wang, Wang Hai-Hua +3 more

Optical precursors were first studied by Sommerfield and Brillouin in 1914 to resolve the apparent contradictions between fast light propagation and the theory of relativity. They showed theoretically that the front edge of a step-modulated pulse does not interact with the medium and always travels at c because the dispersive material has a finite response time to the optical pulse. The past experimental studies of precursors in classical pulse propagation were always focused on an opaque medium with single or multiple Lorentz absorption lines. In these cases, the precursor signal cannot be separated from the main pulse or otherwise the main field is absorbed. However, the electromagnetically induced transparency (EIT) technique was successfully used to separate precursors from the main pulse due to the slow-light effect in cold atoms. The EIT refers to the absorption suppression or elimination of a probe field through atomic coherence in a certain medium dressed by a strong coupling field. In this paper, a four-level double-lambda atomic system with two upper states coupled to the excited state is explored to separate optical precursors from a square-modulated laser pulse with the effect of spontaneously generated coherence (SGC). The SGC effect occurs in the process of spontaneous emission, in which the atom decays from closely placed upper levels to a single ground level. The quantum interference between the decay channels takes place, which leads to decay induced transparency, thus enhancing the Kerr nonlinearity and amplification without inversion. With the assistance of spontaneously generated coherence, an EIT window appears with steep normal dispersion when the trigger field is far from resonance. Then we can obtain the optical precursors which are separated from the main pulse due to the slow-light effects in the EIT window. In the absence of SGC, the main pulse is absorbed by an opaque medium with Lorentz absorptive lines, so the slow-light effect could not take place. In addition, we obtain the stacked optical precursors with the input probe field amplitude or phase modulated by designing a series of square pulses. For the amplitude modulation case, the peak power reaches about 4.5 times that of the input pulse. With the phase modulation we obtain a transient pulse with a peak power of 14 times that of the input, as a result of constructive interference between the stacked precursors and main field. We expect these findings to be instructive in devising optical devices for optical communication, detection and medical imaging among other applications.

Acta Physica Sinica•Jan 1, 2016•1 citation

Optical Precursors in Slow and Fast Light Media

Shengwang Du, J. F. Chen, M. M. T. Loy +1 more

We observe optical precursors generated from slow and fast light cold atomic media. Using constructive interference between sequenced precursors, we produce optical transient pulses with peak powers of about 9 times the input power.

Advanced Photonics•Jan 1, 2011•0 citations
Precursors can serve as a bound on the speed of information with dispersive medium. We propose a method to identify the speed of optical wave fronts using polarization-based interference in a solid-state device, which can bound the accuracy of the speed of wave fronts to less than 10\ensuremath−4{10}^{\ensuremath{-}4}10\ensuremath−4 with conventional experimental conditions. Our proposal may have important implications for optical communications and fast information processing.
In the seemingly never-ending quest to speed up data transfer, light constitutes the ultimate communications carrier. However, the speed of light through a medium is generally constant, making photon storage and on-chip optical signal processing difficult tasks to implement. To slow things down, coupling microring resonators to an optical waveguide can effectively delay the propagation of photons. It has also been shown that the dispersion properties of these devices can distort the pulse profile so that the speed of light appears to be exceeded, providing so-called fast-light. From a practical viewpoint, it would be desirable to combine both of these properties in a single optical device. Recent work has found that these microring resonators are birefringent with respect to the polarization of the propagating light; i.e., one polarization simultaneously propagates faster than its orthogonal counterpart. From calculations, Fietz and Shvets show that by using light of mixed polarization and adjusting the mixing angle of that light and the number of microring resonators along the waveguide, a tunable delay time between polarized wave packets of incoming light should be readily achieved. — ISO
It is widely believed that the velocity of information ${\ensuremath{\upsilon}}_{i}$ encoded on an optical pulse is equal to the group velocity ${\ensuremath{\upsilon}}_{g}$, at least when ${\ensuremath{\upsilon}}_{g}$ is less than the speed of light in vacuum ccc. On the other hand, several authors suggest that ${\ensuremath{\upsilon}}_{i}=c$, although the size of the signal traveling at this velocity may be small, thereby making it difficult to measure. Here, we measure ${\ensuremath{\upsilon}}_{i}$ for pulses propagating through a resonant ``slow-light'' medium where ${\ensuremath{\upsilon}}_{g}\ensuremath{\approx}0.006c$. We find ${\ensuremath{\upsilon}}_{i}=1.03{c}_{\ensuremath{-}0.25c}^{+0.49c}$, or that ${\ensuremath{\upsilon}}_{i}\ensuremath{\approx}168{\ensuremath{\upsilon}}_{g}$, clearly demonstrating that the speed of information cannot be generally described by ${\ensuremath{\upsilon}}_{g}$, but is characterized by its own velocity.
Optical precursors were first studied by Sommerfield and Brillouin in 1914 to resolve the apparent contradictions between fast light propagation and the theory of relativity. They showed theoretically that the front edge of a step-modulated pulse does not interact with the medium and always travels at c because the dispersive material has a finite response time to the optical pulse. The past experimental studies of precursors in classical pulse propagation were always focused on an opaque medium with single or multiple Lorentz absorption lines. In these cases, the precursor signal cannot be separated from the main pulse or otherwise the main field is absorbed. However, the electromagnetically induced transparency (EIT) technique was successfully used to separate precursors from the main pulse due to the slow-light effect in cold atoms. The EIT refers to the absorption suppression or elimination of a probe field through atomic coherence in a certain medium dressed by a strong coupling field. In this paper, a four-level double-lambda atomic system with two upper states coupled to the excited state is explored to separate optical precursors from a square-modulated laser pulse with the effect of spontaneously generated coherence (SGC). The SGC effect occurs in the process of spontaneous emission, in which the atom decays from closely placed upper levels to a single ground level. The quantum interference between the decay channels takes place, which leads to decay induced transparency, thus enhancing the Kerr nonlinearity and amplification without inversion. With the assistance of spontaneously generated coherence, an EIT window appears with steep normal dispersion when the trigger field is far from resonance. Then we can obtain the optical precursors which are separated from the main pulse due to the slow-light effects in the EIT window. In the absence of SGC, the main pulse is absorbed by an opaque medium with Lorentz absorptive lines, so the slow-light effect could not take place. In addition, we obtain the stacked optical precursors with the input probe field amplitude or phase modulated by designing a series of square pulses. For the amplitude modulation case, the peak power reaches about 4.5 times that of the input pulse. With the phase modulation we obtain a transient pulse with a peak power of 14 times that of the input, as a result of constructive interference between the stacked precursors and main field. We expect these findings to be instructive in devising optical devices for optical communication, detection and medical imaging among other applications.