Abstract
We numerically investigate partially coherent short pulse propagation in nonlinear media near optical resonance. We examine how the pulse state of coherence at the source affects the evolution of the ensemble averaged intensity, mutual coherence function, and temporal degree of coherence of the pulse ensemble. We report evidence of self-induced transparency random phase soliton formation for the relatively coherent incident pulses with sufficiently large average areas. We also show that random pulses lose their coherence on propagation in resonant media and we explain this phenomenon in qualitative terms.
Highlights
The invention of lasers and their wide range of applications to optical communication systems has led to a growing interest in the field of nonlinear optics, which explores modifications of optical properties of the host media upon interaction with high intensity temporal and spatiotemporal pulses [1,2,3]
We reveal evidence of self-induced transparency random phase soliton formation for rather coherent large-area input pulses
We modeled the medium as a collection of two-level atoms
Summary
The invention of lasers and their wide range of applications to optical communication systems has led to a growing interest in the field of nonlinear optics, which explores modifications of optical properties of the host media upon interaction with high intensity temporal and spatiotemporal pulses [1,2,3]. The evolution of coherence and polarization state of partially coherent pulses in generic linear [13,14,15,16,17,18,19] and nonlinear [20,21,22,23] dispersive media far from any internal resonances has been thoroughly examined using various mathematical techniques. We fill in the gap by numerically studying short random pulse propagation in resonant nonlinear media in the two-level approximation. Our results are applicable to a multitude of resonant media, including dilute atomic vapours filling the hollow-core photonic crystal fibres, impurity-doped solids, and semiconductor quantum dots in the strong quantum confinement regime
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