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Physical Review A

Slowing and stopping photons using backward frequency conversion in quasi-phase-matched waveguides

Jacob B. Khurgin

Published Aug 10, 2005• 32 citations
Publisher

Abstract

A tunable scheme for slowing down and stopping light using the backward frequency conversion in the quasi-phase-matched waveguides is proposed. It is shown that delay time ranging from a nanosecond to hundreds of microseconds can be obtained in few-centimeter-long GaAs-based structures with up to ten GHz bandwidths at moderate (few W) peak powers of coupling light. The proposed scheme also allows one to continuously change the frequency of the signal.

DOI
10.1103/physreva.72.023810

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A tunable scheme for slowing down and stopping light using the backward frequency conversion in the quasi-phase-matched waveguides is proposed. It is shown that delay time ranging from a nanosecond to hundreds of microseconds can be obtained in few-centimeter-long GaAs-based structures with up to ten GHz bandwidths at moderate (few W) peak powers of coupling light. The proposed scheme also allows one to continuously change the frequency of the signal.
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Nonlinearly generated refractive index fronts in waveguides can change the signal frequency and wavenumber leading to the indirect transitions. Here, we discuss how dynamic light stopping and pulse time reversal can be implemented in dispersive waveguides via these transitions. Our scheme, in contrast to previous concepts of light stopping and time reversal, is not limited by a strict phase matching condition and does not require local index variations, thus, can manipulate broadband signals in a single step process. The presented results are experimentally feasible using existing photonic waveguides technologies.
Moving refractive index fronts in waveguides with dispersion is a special type of spatio-temporal modulation. The interaction of light with that front allows frequency conversion, light stopping, optical delays, and bandwidth and pulse duration manipulation. Here, we present examples of signal transmission, reflection, trapping and stopping. We will geometrically consider indirect transitions in the dispersion relation using the phase continuity relation at the front and present numerical solutions of the linear Schrödinger equation which follows from the slowly varying envelope approximation of the wave equation.
Optical quantum network plays an important role in large scale quantum communication. However, different components for photon generation, transmission, storage and manipulation in network usually cannot interact directly due to the wavelength and bandwidth differences, and thus interfaces are needed to overcome such problems. We propose an optical interface for frequency down-conversion and bandwidth compression based on the counter-propagating quasi-phase-matching difference frequency generation process in the periodically-poled lithium niobate on insulator waveguide. We prove that a separable spectral transfer function can be obtained only by choosing proper pump bandwidth, thus relaxing the limitation of material, dispersion, and working wavelength as a result of the counter-propagation phase-matching configuration. With numerical simulations, we show that our design results in a nearly separable transfer function with the Schmidt number very close to 1. With proper pump bandwidth, an photon at central wavelength of 550 nm with a bandwidth ranging from 50 GHz to 5 THz can be converted to a photon at central wavelength of 1,545 nm with a much narrower bandwidth of 33 GHz.
We introduce an efficient method for slowing and stopping/storing light, which is based on wave propagation along a slowly axially varying, adiabatically tapered, negative refractive index metamaterial heterostructure. We analytically show that the present method can, in principle, simultaneously allow for broad bandwidth operation (since it does not rely on group index resonances), large delay-bandwidth products (since a wave packet can be completely stopped and buffered indefinitely) and high, almost 100%, in/out-coupling efficiencies. Moreover, by nature, the presented scheme invokes solid-state materials and, as such, is not subject to low-temperature or atomic coherence limitations. This method for trapping photons conceivably opens the way to a multitude of hybrid, optoelectronic devices to be used in 'quantum information' processing, communication networks and signal processors, and may herald a new realm of combined metamaterials and slow light research.