Circularly polarized few-cycle optical rogue waves: rotating reduced Maxwell-Bloch equations.
The rotating reduced Maxwell-Bloch (RMB) equations, which describe the propagation of few-cycle optical pulses in a transparent media with two isotropic polarized electronic field components, are derived from a system of complete Maxwell-Bloch equations without using the slowly varying envelope approximations. Two hierarchies of the obtained rational solutions, including rogue waves, which are also called few-cycle optical rogue waves, of the rotating RMB equations are constructed explicitly through degenerate Darboux transformation. In addition to the above, the dynamical evolution of the first-, second-, and third-order few-cycle optical rogue waves are constructed with different patterns. For an electric field E in the three lower-order rogue waves, we find that rogue waves correspond to localized large amplitude oscillations of the polarized electric fields. Further a complementary relationship of two electric field components of rogue waves is discussed in terms of analytical formulas as well as numerical figures.
School of Mathematical Sciences, USTC, Hefei, Anhui 230026, P. R. China and Beijing Computational Science Research Center, Beijing 100084, P. R. China.
Shuwei
S
Xu
Department of Physics, Pondicherry University, Puducherry 605014, India.
K
K
Porsezian
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P. R. China.
Jingsong
J
He
School of Mathematical Sciences, USTC, Hefei, Anhui 230026, P. R. China.
Yi
Y
Cheng