首页 - 学术活动Self-induced transparency (SIT) is a typical coherent transient nonlinear optical phenomenon for light propagations in resonant media. Reduced Maxwell-Bloch (RMB) equations with inhomogeneous broadening can provide a accurate carrier-wave resolved description for the SIT of light pulses with any spectrum bandwidth. In this paper, we construct exact breather solutions of the RMB equations on a zero background by employing the inverse scattering transform formulated via the Riemann-Hilbert problem. We show that these breather solutions describe the nonlinear response of an inhomogeneously broadened medium composed of two-level atoms and they are valid for the propagation of light pulses with arbitrary optical cycle number Nc. Through a detailed analysis of the breathers, we find that the atoms in the system with the resonant frequency \mu being confined in a bounded interval [\mu_min, \mu_max] can achieve broadband complete population inversion even the spectrum bandwidth of the optical pulse is very large. The physical implication of broadband complete population inversion is also discussed.
This is a joint work with Wu Kang, Hu Pengyan, Huang Guoxiang.