Comparison of effects of relative carry-envelope phase on two-color few cycle pulses propagating in dense and dilute lambda-type mediums

In this paper we compared effects of relative carry-envelope phase (RCEP) of two-color few cycle pulses on propagation behavior and spectral property under the single-photon resonant condition in the dense and dilute lambda-type three-level atomic mediums. It is found that, in the dense medium, with propagation distance increasing, the compound pulse of the two-color few cycle pulses will split into two or three sub-pulses with different amplitudes and shapes, or does not split, and this is completely determined by value size of RCEP; with value of RCEP decreasing, range and strength of the spectrum (particularly the higher spectral components) increase obviously, the highest frequency is about eight times of the resonance frequency. In the corresponding dilute medium, effect of RCEP on propagating behavior and spectral property is much different from that in the dense medium; specially with value of RCEP decreasing, spectral strength increasing is evident but spectral range not, the highest frequency of the spectrum is only about two times of the resonance frequency.