Abstract

The stability and interaction of circularly and elliptically polarized few-cycle solitons in a Kerr medium are investigated. By means of the multi-scale method, we present a new class of approximate analytical circularly and elliptically polarized few-cycle soliton solutions. Based on the analytical results, it is shown numerically that the circularly and elliptically polarized few-cycle solitons can propagate stably when parameters are properly adjusted. It is proved that the stability of the circularly polarized few-cycle solitons depends on whether their spectra are in the anomalous-dispersion regime. For elliptically polarized few-cycle solitons, their stability relies on two factors. First, the elliptically polarized few-cycle solitons are more stable when the greater part of their spectra are located in the anomalous-dispersion regime. Second, the carrier frequency also has an influence on the stability of elliptically polarized few-cycle solitons. Furthermore, the interactions of the two and three circularly and elliptically polarized few-cycle pulses are studied. When pulse parameters are suitably chosen, we show the elastic collision, inelastic collision, and repulsive interaction between these multi-few-cycle pulses.

© 2019 Optical Society of America

Stability and interaction of few-cycle pulses in a Kerr medium

Zhan-Jie Gao, Hui-Jun Li, and Ji Lin
Opt. Express 26(7) 9027-9038 (2018)

Phase properties of elliptically polarized light propagating in a Kerr medium with dissipation

R. Tanaś and Ts. Gantsog
J. Opt. Soc. Am. B 8(12) 2505-2512 (1991)

Few-cycle optical pulses in negative index materials with dispersive permittivity and permeability

Marianne Abémgnigni Njifon, Conrad Bertrand Tabi, and Timoléon Crépin Kofané
J. Opt. Soc. Am. B 37(11) A331-A345 (2020)

Suppression of self-focusing for few-cycle pulses

Sergei A. Kozlov, Arkadiy A. Drozdov, Saumya Choudhary, Mikhail A. Kniazev, and Robert W. Boyd
J. Opt. Soc. Am. B 36(10) G68-G77 (2019)

Interplay between Raman self-frequency shift and cross-phase modulation in the vector-soliton of a birefringent fiber

V. Mishra and S. K. Varshney
J. Opt. Soc. Am. B 36(7) 1806-1815 (2019)