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Optics Express

Distortion management in slow-light pulse delay

Michael D. Stenner, Mark Allen Neifeld, Zhaoming Zhu, Andrew M. C. Dawes, Daniel J. Gauthier

Published Jan 1, 2005• 162 citations
Publisher

Abstract

We describe a methodology to maximize slow-light pulse delay subject to a constraint on the allowable pulse distortion. We show that optimizing over a larger number of physical variables can increase the distortion-constrained delay. We demonstrate these concepts by comparing the optimum slow-light pulse delay achievable using a single Lorentzian gain line with that achievable using a pair of closely-spaced gain lines. We predict that distortion management using a gain doublet can provide approximately a factor of 2 increase in slow-light pulse delay as compared with the optimum single-line delay. Experimental results employing Brillouin gain in optical fiber confirm our theoretical predictions.

DOI
10.1364/opex.13.009995

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We describe a methodology to maximize slow-light pulse delay subject to a constraint on the allowable pulse distortion. We show that optimizing over a larger number of physical variables can increase the distortion-constrained delay. We demonstrate these concepts by comparing the optimum slow-light pulse delay achievable using a single Lorentzian gain line with that achievable using a pair of closely-spaced gain lines. We predict that distortion management using a gain doublet can provide approximately a factor of 2 increase in slow-light pulse delay as compared with the optimum single-line delay. Experimental results employing Brillouin gain in optical fiber confirm our theoretical predictions.
We present a data-fidelity metric for quantifying distortion in slow-light optical pulse delay devices. We demonstrate the utility of this metric by applying it to the performance optimization of gain-based slow-light delay systems for Gaussian and super-Gaussian pulses. Symmetric Lorentzian double-line and triple-line gain systems are optimized and achieve maximum delay of 1.5 and 1.7 times the single-line gain system delay, respectively. The resulting double-line gain system design is qualitatively similar to the double-line gain system designed with a previous metric, but is tuned specifically to constrain data fidelity.
High-speed optical networks will require all-optical signalprocessing to avoid bottleneck due to optical-to-electrical (O/E)and electrical-to-optical (E/O) conversion. Enabling of opticalprocessing tasks such as optical buffering and data synchronizationwill require large tunable delay. Recently, slow-light physics gotwide attention to generate tunable delay. However, for a slow-lightsystem large delay comes at the expense of increased distortion.This dissertation presents a study of the slow-light systems andquantifies the limitations imposed on delay due to distortion andsystem resource constraints. Optimal designs for two- and three-lineBrillouin slow-light systems showed fractional pulse delay of up to1.7 compared to a single-line gain system. Optimal designs forbroadband Brillouin gain system showed upto 100\% delay improvementcompared to the Gaussian pump. Wavelength conversion and dispersionbased tunable delay systems showed bit delay of 15 bits. An opticalbuffer based on photorefractive medium for real-time data storagewas demonstrated by storing and retrieving a 7-bit data sequence.
A different definition on the amplitude and phase of transform function is proposed to maximize slow-light pulse delay to a constraint on the allowable pulse distortion and even provide a more simple method of numerical calculation for kinds of structures. In addition, extremely simple formulas describing multi gain structures generally are deduced on amplitude deviation, phase deviation, and time-delay. Moreover, relations of time-delay on gain ratio, separation of multi gains are figured out under distortion management.
We describe a theoretical analysis of broadband stimulated Brillouin scattering (SBS) slow light delay in a single-mode optical fiber. A flat-top broadband SBS gain spectrum can be constructed by use of two broadband pump beams. We propose two schemes of the double broadband pumping. We show that, for each scheme, the spectral profile of the total SBS gain becomes wide and symmetric when the appropriate architecture of the two broadband pump beams is adopted accordingly. Our schemes can effectively reduce or even eliminate the broadening of signal pulse. It provides the use of shorter signal pulses for slow light control.
We present the methodology for designing the optimal gain profiles for slow-light systems under the given system constraints. Optimal system designs for the multiple Lorentzian gain lines make the gain spectrum uniform over larger bandwidth compared to the single-line gain system. The design procedure for the multiple-line gain systems is modified to make the gain spectrum uniform over arbitrarily broad bandwidth and applied to the design of the gain-only and gain+absorption slow-light media. The optimization of the triple-line gain system improves the delay-bandwidth product 1.7 times the delay-bandwidth product for the single-line gain system. For the broadband slow-light system, the optimal gain + absorption design and the optimal gain-only design improve the fractional delay performance by factors of 1.8 and 1.4, respectively, compared to the Gaussian noise pump broadened (GNPB) system.