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Frontiers in Optics

Airy Wavepackets Accelerating Only in the Spatio-Temporal Domain

H. Esat Kondakci, Ayman F. Abouraddy

Published Jan 1, 2017• 0 citations
Publisher

Abstract

We experimentally demonstrate Airy wavepackets accelerating only in the spatio-temporal domain of the localized pulse produced via a two-dimensional pulse shaper. When observed with a slow detector, the Airy wavepacket does not accelerate.
DOI
10.1364/fio.2017.jtu3a.64

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Accelerating non-spreading wavepackets in nonrelativistic free particle system, with probability distribution having an Airy function profile, were discovered by Berry and Balazs (Am. J. Phys., 47, 264 (1979)), and have been subsequently realised in several optical experiments. It is shown that these wavepackets are actually coherent states. It is found that the Galilean invariance of the Schrodinger equation plays a key role in making these states unique and giving rise to their unusual propagation properties.
The research of Airy beams has attained much attention due to their unique characteristics. Coherent control of Airy beams is important for further light beam manipulation and information processing. In this paper, we experimentally investigate the storage and retrieval of 2D Airy wavepackets in a solid-state medium driven by electromagnetically induced transparency (EIT). The transverse profile of the weak probe pulse is modulated by Airy wavepackets. Under EIT condition, the probe Airy wavepackets are stored into the experimental medium by manipulating the intensity of the control field, and later retrieved by the opposite process. The retrieved Airy wavepackets keep a high similarity compared with those before the storage. Furthermore, the self-healing property of the retrieved Airy wavepackets is investigated. This storage of Airy wavepackets develops the control method of Airy beams, which will be useful in further applications.
We propose a scheme to generate (3+1)-dimensional slow-light Airy wave packets in a resonant $\ensuremath{\Lambda}$-type three-level atomic gas via electromagnetically induced transparency. We show that in the absence of dispersion the Airy wave packets formed by a probe field consist of two Airy wave packets accelerated in transverse directions and a longitudinal Gaussian pulse with a constant propagating velocity lowered to ${10}^{\ensuremath{-}5}c$ (ccc is the light speed in vacuum). We also show that in the presence of dispersion it is possible to generate another type of slow-light Airy wave packet consisting of two Airy beams in transverse directions and an Airy wave packet in the longitudinal direction. In this case, the longitudinal velocity of the Airy wave packet can be further reduced during propagation. Additionally, we further show that the transverse accelerations (or bending) of the both types of slow-light Airy wave packets can be completely eliminated and the motional trajectories of them can be actively manipulated and controlled by using a Stern-Gerlach gradient magnetic field.