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Chinese Journal of Optics and Applied Optics

Control of light speed in single-ring microresonators with gain

Lu Jun

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

Using single-ring microresonators with loss to realize the light speed control encounters difficulties of heavy light loss and serious pulse distortion.Based on the symmetry between the transfer characteristics of resonators with loss and with gain,the transmission,group index,and group velocity dispersion of a single-ring microresonator are calculated and analyzed.The action mechanism of the loss and gain on the transfer characteristics of the micro-ring resonator is demonstrated.The light speed control behavior of the resonator with gain is calculated and compared with that of the resonator with loss.Calculation results indicate that the resonator with gain can produce the nonsplitted pulses with higher intensities and their pulse delay and pulse advancement are greater than those of the resonator with loss.These results show that the resonator with gain can be used to control the speed of light and to overcome the pulse loss and distortion in dissipative resonators.

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Using single-ring microresonators with loss to realize the light speed control encounters difficulties of heavy light loss and serious pulse distortion.Based on the symmetry between the transfer characteristics of resonators with loss and with gain,the transmission,group index,and group velocity dispersion of a single-ring microresonator are calculated and analyzed.The action mechanism of the loss and gain on the transfer characteristics of the micro-ring resonator is demonstrated.The light speed control behavior of the resonator with gain is calculated and compared with that of the resonator with loss.Calculation results indicate that the resonator with gain can produce the nonsplitted pulses with higher intensities and their pulse delay and pulse advancement are greater than those of the resonator with loss.These results show that the resonator with gain can be used to control the speed of light and to overcome the pulse loss and distortion in dissipative resonators.
When used to control the group velocity of light pulses, a microring resonator with loss often induces pulse splitting in addition to wearing down the pulse energy, whereas a gain microring resonator with identical dispersion can usually keep the pulse shape and make the pulse delay greater. Based on the symmetry between the transmission properties of microring resonators with gain and with loss and linear system theory, we illustrate the effects of gain and loss on pulse splitting and delay and reveal the mechanism by which gain improves the group-velocity control behaviors of the microring resonators.
This study has been focused on the linear and nonlinear behavior and investigative in single-ring resonator. Optical fiber ring resonators have great interest due to different applications, especially in communication, secured communication, slow light, fast light and light storage in optical buffers. There are many proposed applications of optical ring resonators. Optical fiber ring resonators can be readily constructed from standard optical fiber components, which allow their properties to be studied in a systematic manner. In this paper, we describe our studies of the optical transmission, intensity, shift phase and group delay characteristics of a family of such devices. In this case, Gaussian beam has been used as an input pulse inside to microring resonators. In this paper, transmission, intensity, shift phase and group delay characteristics of device have been investigated. It has been compared together in different coupling coefficients in frame of linear and nonlinear.
We theoretically analyze the light-storing process in optical microresonator arrays. We propose a passive and an active schemes to strongly slow light. The two mechanisms rely on microresonator chains whose high order dispersion is optimized. The unit cell of the systems is a short sequence of two or four resonators. In the passive process we show that the cancellation of the third order of dispersion allows the propagation of short pulses with no significant distortion in a microresonator array. The second process needs the use of active microresonators whose loss and gain are dynamically tuned. The structure is made of only four resonators and is optimized to avoid pulse distortion as it is the case in the passive scheme. The loss and gain modulations allow the resonant structure to be isolated from the access waveguide and optical pulse to be stored.
We experimentally investigated optical pulse propagation through an amplifying ring resonator, in which a semiconductor optical amplifier was used as a loss or gain medium. Initially, the transmission intensity showed resonance dips as a function of laser frequency. These dips were gradually filled and transformed into resonance peaks as the amplification gain increased. A Gaussian-shaped temporal pulse was either advanced by −7.3 ns at low amplification gain or delayed up to 45 ns at high gain. System operation was classified into a complete set of the four regions depending on the gain parameter, and experimental delay times were analyzed based on relevant system dispersion.
In this work, we present a quantum theory for pulsed photon pair generation in a single ring resonator. Our approach combines the Heisenberg picture input-output formalism with the Ikeda mapping from classical nonlinear optics. In doing so, we address the high-gain regime by incorporating nonperturbative effects, including self-phase modulation, cross-phase modulation, and time-ordering, which are roots for significantly different behaviors in the low-gain regime. We also account for optical losses by introducing an auxiliary waveguide, allowing for a more accurate representation of experimentally viable scenarios. Numerical simulations reveal that nonperturbative effects significantly distort transfer functions, making desirable operations challenging without careful optimization. We show that appropriate detuning of the pump frequency can mitigate these issues, leading to enhanced brightness and higher spectral purity in the high-gain regime. We further investigate the performance of a single ring resonator as a two-mode squeezer by analyzing various performance metrics under experimentally relevant optical loss conditions.
The insertion loss of fiber couplers in the two fiber rings waveguide system is studied. The peak power is the same by matching coupler strength of two couplers at the resonant area. The peak transmittance is inversely proportional to the group refractive index regardless of the two reflection values. Group delay increases at the expense of reduction of the peak transmissivity. The three rings waveguide structure manifests the subluminal properties accompanying normal dispersion by doping gain media. Group delay is analyzed in the frequency domain and the time domain, respectively. This study could be regarded as the significant theoretical foundation for applications in the field of controllable light velocity theory, sensors, filters, optical buffers and so on.