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Journal of Modern Optics

Enhanced gain and narrow linewidth of an optical cavity by the Doppler effect in a four-level atomic system

Yandong Peng, Aihong Yang, Huiyun Zhang, Peng Li, Lin Cheng Jiang, Luyin Zhang

Published Jul 1, 2013• 0 citations
Publisher

Abstract

A scheme for high gain and narrow linewidth of an optical cavity with a four-level atomic system is proposed by the Doppler effect via active Raman gain (ARG) process. Atomic motion leads to Doppler frequency shift which induces constructive interference for the linear susceptibility. The enhanced normal dispersion greatly narrows the cavity linewidth, and the amplified gain gives rise to a high cavity transmission. Simulation results show that the cavity linewidth based on ARG is about one order of magnitude narrower than that based on electromagnetically-induced transparency under the same conditions, and the cavity transmission intensity could be enhanced by nearly 30 times.

DOI
10.1080/09500340.2013.831498

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A scheme for high gain and narrow linewidth of an optical cavity with a four-level atomic system is proposed by the Doppler effect via active Raman gain (ARG) process. Atomic motion leads to Doppler frequency shift which induces constructive interference for the linear susceptibility. The enhanced normal dispersion greatly narrows the cavity linewidth, and the amplified gain gives rise to a high cavity transmission. Simulation results show that the cavity linewidth based on ARG is about one order of magnitude narrower than that based on electromagnetically-induced transparency under the same conditions, and the cavity transmission intensity could be enhanced by nearly 30 times.
A scheme is proposed for obtaining high gain and narrow linewidth of a cavity with an asymmetric quantum-well system. Due to resonant tunneling, destructive interference for linear absorption leads to a tunneling-induced transparency window which compresses the cavity linewidth; moreover, constructive interference for cross-nonlinear susceptibility occurs, which introduces high gain and large dispersion, and the cavity linewidth is much compressed. In the latter case, the intensity of cavity transmission could be enhanced one order of magnitude larger than that of input field, and its linewidth could be one-seventieth of the empty cavity.
We propose a novel scheme to realize an optical waveguide induced by an active Raman gain (ARG) process in a four-level N-type atomic system. Because of the nature of the ARG, there are two distinct features related to the waveguide: i) It is not absorptive, on the contrary, weak gain is presented; ii) It can be improved by the Doppler effect in the sense that the dispersion is enhanced while the gain is further reduced. This is in sharp contrast to the previously considered schemes where usually the optical induced waveguide is passive and is severely attenuated by the Doppler effect. We then study the paraxial light propagation in the waveguide which shows that the propagation dynamics is lossless and diffractionless.
Linear absorption and dispersion properties, as well as Kerr nonlinear index, of three-level atomic systems can be greatly modified under the condition of electromagnetically induced transparency (EIT). By placing such EIT atoms in a vapor cell inside an optical ring cavity, the cavity transmission spectrum can be altered and controlled. We show that the cavity transmission linewidth can be narrowed substantially comparing to the empty cavity linewidth due to the sharp normal (linear) dispersion associated with the EIT resonance (which can be considered as photons traveling with a slower speed inside the optical cavity). On the other hand, the Kerr nonlinear dispersion has the opposite slope comparing to the linear dispersion near the EIT resonance, which can be used to balance the linear dispersion and lead to total anomalous dispersion for the intracavity atomic medium (with ``superluminal photon speed'' inside the optical cavity). Such anomalous dispersion in the intracavity medium makes the cavity transmission linewidth broader than the empty cavity linewidth. Under certain parameters, the so called ``white-light cavity'' condition can be satisfied, which makes the cavity transmission linewidth very broad and, at the same time, have high cavity transmission. Such modified and controlled cavity transmission linewidths can have many interesting applications in frequency locking, cavity ring-down spectroscopy, nonlinear optical spectroscopy, cavity-QED, and even recycling cavity of the gravitational-wave detector.
The effect of Doppler broadening on the gain spectrum is theoretically investigated in a hot N -type active Raman gain atomic system. It is found that the gain peak in the spectrum can be extremely narrowed and amplified by two orders at room temperature as compared with that in the cold atomic system. This remarkable result originates from the shift of the dressed levels and the modification to the transition probability between dressed states when the Doppler effect is considered in the hot atomic system. The enhanced subluminal and superluminal pulse propagation for the probe field in the hot atomic system has also been obtained by numerical simulation; the probe pulse undergoes no absorption and little pulse distortion.
We experimentally demonstrate cavity linewidth control by manipulating dispersion of the intracavity medium. By making use of the dramatic change of Kerr nonlinearity near electromagnetically induced transparency resonance in a three-level atomic system, the cavity transmission linewidth can be greatly modified. As the cavity input intensity increases, the cavity linewidth changes from below to above empty cavity linewidth, corresponding to subluminal and superluminal photon propagation in the cavity, respectively.
Atomic media inside an optical cavity can significantly alter the spectral response of the cavity. Both theoretical and experimental examinations are made of the cavity transmission with a highly dispersive intracavity multilevel atomic medium. It is found, owing to the reduced absorption and steep dispersion change accompanying electromagnetically induced transparency in such a multi-level atomic medium, that the cavity linewidth can be made much narrower than the empty cavity linewidth. Cavity linewidth narrowing is measured as a function of both the coupling beam power and the atomic density. These experimental results are in good agreement with the theoretical predictions.