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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

The effect of the "fast" light in the large-sized carbon nanostructures in the nanosecond time range

Vladislav Yu. Gribkov, Rimma Sh. Zatrudina

Published Apr 14, 2017• 0 citations
Publisher

Abstract

This paper presents a theoretical approach to describe the effect of fast light. The propagation of the light pulses in the large-sized carbon nanostructures was investigated. Dependence of the group velocity on the pulse energy and the ratio of the absorption cross-sections of the medium was investigated. It is shown that the group velocity decreases if the duration and energy of the incident pulse on the medium with the reverse saturable absorption increase.

DOI
10.1117/12.2267522

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This paper presents a theoretical approach to describe the effect of fast light. The propagation of the light pulses in the large-sized carbon nanostructures was investigated. Dependence of the group velocity on the pulse energy and the ratio of the absorption cross-sections of the medium was investigated. It is shown that the group velocity decreases if the duration and energy of the incident pulse on the medium with the reverse saturable absorption increase.
Significant deviation of light pulse group velocity from the speed of light с due to the anomalous dispersion of a medium (so-called “slow” and “fast” light phenomena) may be caused by several mechanisms. One of these mechanisms is reverse saturable absorption. This work presents experimental research of the propagation of high-power ultrashort laser pulses through the aqueous solution of the carbon nanostructures. Our experimental results demonstrate a “fast light” behavior of pulses transmitted through the aqueous solution of carbon nanostructures. Results of our numerical simulation are in good agreement with the experimental results and confirm that the observed phenomenon is due to reverse saturable absorption. The group velocity of nanosecond high-power laser pulses is negative and achieves value to –c/275.
The propagation of nanosecond laser pulses in solutions of large-scale carbon nanostructures has been theoretically and numerically investigated in this paper. The three-level ladder-type scheme was used to study the medium with RSA. Numerical simulation of the propagation of nanosecond laser pulses in RSA media was carried out using the classical transport equation for incoherent nonlinear interaction of radiation with the medium described by the proposed three-level model. It is shown that for sufficiently small relaxation times of the medium and high intensity of, a splitting of the transmitted pulse by two is possible.
According to the analysis of gain theory, the absorption or gain of medium depends on pump power. The coherent population oscillation leads the pulse to experience absorption saturation and propagation delay in a medium with absorption. This effect induces the pulse to experience gain saturation and propagation advance in a medium with gain. Making use of the transition rate equation of metastable state poplation, we develop the model of fast light in erbium-doped optical fiber and obtain the analytic expression of time advance. We demonstrate that there is a saturation effect of fast light in low frequency region, but the fast light is enhanced with pump power increasing in high frequency region.
The group velocity of light is governed by the dispersive properties of the optical material. Controlling these properties has led to concepts such as fast and slow light. In a vacuum, the group velocity of light is equal to c, excluding a priori the possibility of controlling the propagation time of a light pulse. Here, we prove that to some extent, this limitation can be circumvented by exhibiting a specific class of periodic light pulses that can be advanced or delayed by simple linear interference with a monochromatic light field. We show that such pulses are easily generated in a recirculating frequency shifting loop, and we experimentally demonstrate the possibility of advancing or delaying these pulses by times exceeding the nanosecond.
We theoretically study the propagation through a resonant absorbing medium of a time-dependent perturbation modulating the amplitude of a continuous wave (cw). Modeling the medium as a two-level system and linearizing the Maxwell-Bloch equations for the perturbation, we establish an exact analytical expression of the transfer function relating the Fourier transforms of the incident and transmitted perturbations. It directly gives the gain and the phase shift undergone in the medium by a harmonic modulation. For the case of a pulse modulation, it enables us to determine the transmission time of the pulse center of mass (group delay), evidencing the relative contributions of the coherent and incoherent (population) relaxations. We show that the group delay has a negative value (fast light) fixed by the coherent effects when the cw intensity is small compared to the saturation intensity and becomes positive (slow light) when this intensity increases, before attaining a maximum that cannot exceed the population relaxation time. The analytical results are completed by numerical determinations of the shape of the transmitted pulses in the different regimes.