Abstract

In a way analogous to a light pulse that can be optically delayed via slow light propagation in Kerr-type nonlinear media, we theoretically demonstrate that beam steering and spatial walk-off compensation can be achieved in noncollinear optical parametric amplification. We identify this effect as a result of the quadratic phase shift induced by parametric amplification that leads to the cancellation of the spatial walk-off and collinear propagation of all beams though they have different wavevectors. Experimental evidence is reported of a soliton array steering in a Kerr slab waveguide.

Highlights

  • Slow and fast light (SFL) has been the subject of numerous studies in fiber optics [1,2,3,4,5]

  • Based on the well-known space-time duality of the nonlinear Schrodinger equation, we show that a laser beam can be significantly steered in a noncollinear spatial optical parametric amplification (OPA) interaction, in a way analogous to a light pulse that can be optically delayed through OPA

  • We provide a clear derivation of the formula for the phase shift and the spatial walk-off induced by OPA

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Summary

Introduction

Slow and fast light (SFL) has been the subject of numerous studies in fiber optics [1,2,3,4,5]. SFL has been achieved using optical parametric amplification (OPA) in a nonlinear optical fiber [5,6,7]. In such a process, OPA provides gain and an optical delay between the interacting pulses that perfectly balances the temporal walk-off due to group-velocity dispersion (GVD) and leads to group-velocity matching between the interacting pulses [5, 7]. Parametric beam steering and trapping is observed in isotropic Kerr media. Since its first observation in 1996 [11], very few studies have focused on the spatial case of four-wave mixing in Kerr media [12,13,14,15,16], whereas temporal four-wave mixing or modulation instability processes have extensively been investigated in the context of fiber optics [17]

Theory
Numerical simulations
Simulation versus Experiment
Conclusion and Outlook

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