Circularly polarized few-cycle optical rogue waves: Rotating reduced Maxwell-Bloch equations

摘要

The rotating reduced Maxwell-Bloch (RMB) equations, which describe the propagation of few-cycle opticalnpulses in a transparent media with two isotropic polarized electronic field components, are derived from ansystem of complete Maxwell-Bloch equations without using the slowly varying envelope approximations. Twonhierarchies of the obtained rational solutions, including roguewaves, which are also called few-cycle optical roguenwaves, of the rotating RMB equations are constructed explicitly through degenerate Darboux transformation.nIn addition to the above, the dynamical evolution of the first-, second-, and third-order few-cycle optical roguenwaves are constructed with different patterns. For an electric field E in the three lower-order rogue waves, wenfind that rogue waves correspond to localized large amplitude oscillations of the polarized electric fields. Furtherna complementary relationship of two electric field components of rogue waves is discussed in terms of analyticalnformulas as well as numerical figures.