Ultrashort spatiotemporal optical solitons in quadratic nonlinear media: Generation of line and lump solitons from few-cycle input pulses

Abstract

By using a powerful reductive perturbation technique, or a multiscale analysis, a generic Kadomtsev-Petviashvili evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in quadratic nonlinear media beyond the slowly varying envelope approximation is put forward. Direct numerical simulations show the formation, from adequately chosen few-cycle input pulses, of both stable line solitons (in the case of a quadratic medium with normal dispersion) and of stable lumps (for a quadratic medium with anomalous dispersion). Besides, a typical example of the decay of the perturbed unstable line soliton into stable lumps for a quadratic nonlinear medium with anomalous dispersion is also given.

References in corpus (5)

• The short pulse equation is integrable
• Solitary wave solutions of the short pulse equation
• Ultra-short pulses in linear and nonlinear media
• Models for optical solitons in the two-cycle regime
• Sub two-cycle soliton-effect pulse compression at 800 nm in Photonic Crystal Fibers

Cited by in corpus (4)

• Collapse of ultrashort spatiotemporal pulses described by the cubic generalized Kadomtsev-Petviashvili equation
• Ultrashort light bullets described by the two-dimensional sine-Gordon equation
• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
• Carrier-envelope phase dependence in single-cycle laser pulse propagation with the inclusion of counter-rotating terms