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Physica Scripta

Optical Bullet-Holes

W. J. Firth, A Lord, A J Scroggie

Published Jan 1, 1996• 30 citations
Publisher

Abstract

A saturable absorber in a cavity is shown to sustain stable bleached areas which can be created by applying a short, localized address pulses (optical bullets). These bullet-holes can be controlled and configured as a "spatial soliton" memory array. The existence and stability of these states is investigated by taking advantage of their cylindrical symmetry, and similar methods show that the Kerr cavity can also support stable localized states.

DOI
10.1049/ic:19960548

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A saturable absorber in a cavity is shown to sustain stable bleached areas which can be created by applying a short, localized address pulses (optical bullets). These bullet-holes can be controlled and configured as a "spatial soliton" memory array. The existence and stability of these states is investigated by taking advantage of their cylindrical symmetry, and similar methods show that the Kerr cavity can also support stable localized states.
We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic field tuned close to the Feshbach resonance). Another physical interpretation is a possibility to create stable 3D "light bullets" in an optical medium with a longitudinal alternating self-focusing/defocusing structure, and periodic modulation of the refractive index in a transverse direction. We develop a variational approximation to identify a stability region in the parametric space, and verify the existence of stable breathing solitons in direct simulations. Both methods reveal that stable solitons may be supported if the average value of the nonlinear coefficient (whose sign corresponds to attraction between atoms) and the lattice's strength exceed well-defined minimum values. Stable localized patterns may feature a multi-cell structure.
We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice (OL), using spatially uniform temporal modulation of the scattering length (through ac magnetic field tuned close to the Feshbach resonance). Another physical implication of the model is a possibility to create stable 3D “light bullets” in an optical medium with a longitudinal alternating self-focusing/defocusing structure, and periodic modulation of the refractive index in a transverse direction. We develop a variational approximation to identify a stability region in the parametric space, and verify the existence of stable breathing solitons in direct simulations. Both methods reveal that stable solitons may be supported if the average value of the nonlinear coefficient (whose sign corresponds to attraction between atoms) and the OLs strength exceed well-defined minimum values. A moderately strong OL supports multi-peaked solitons, with essential interaction between the peaks.
Realizing single light bullets and vortices that are stable in high dimensions is a long-standing goal in the study of nonlinear optical physics. On the other hand, the storage and retrieval of such stable high dimensional optical pulses may offer a variety of applications. Here we present a scheme to generate such optical pulses in a cold Rydberg atomic gas. By virtue of electromagnetically induced transparency, strong, long-range atom-atom interaction in Rydberg states is mapped to light fields, resulting in a giant, fast-responding nonlocal Kerr nonlinearity and the formation of light bullets and vortices carrying orbital angular momenta, which have extremely low generation power, very slow propagation velocity, and can stably propagate, with the stability provided by the combination of local and the nonlocal Kerr nonlinearities. We demonstrate that the light bullets and vortices obtained can be stored and retrieved in the system with high efficiency and fidelity. Our study provides a new route for manipulating high-dimensional nonlinear optical processes via the controlled optical nonlinearities in cold Rydberg gases.
A practical method of slowing and stopping an incident ultrashort light pulse with a resonantly absorbing Bragg reflector is demonstrated numerically. It is shown that an incident laser pulse with suitable pulse area evolves from a given pulse waveform into a stable, spatially-localized oscillating or standing gap soliton. We show that multiple gap solitons can be simultaneously spatially localized, resulting in efficient optical energy conversion and storage in the resonantly absorbing Bragg structure as atomically coherent states.