两类非线性复域时滞微分方程亚纯函数解的存在性

研究了两类非线性复域时滞微分方程,■亚纯函数解的存在性,进而研究解存在情况下解的表示形式与增长性,其中n,k是满足n≥2,k≥0的两个正整数,c,λ≠0为常数,w_j(j=1,…,n)为不全为零的常数,q(z),p_i(z)(i=1,2)为非零有理函数,Q(z),v(z)为非常数多项式,■为增长级小于1的非零亚纯函数。结果推广了之前的一些结论,并给出一些例子说明这些解的存在性。     

Polarization enhancement and suppression of four-wave mixing in multi-Zeeman levels

Polarization dependence of the enhancement and suppression of four-wave mixing (FWM) in a multi-Zeeman level atomic system is investigated both theoretically and experimentally. A dressing field applied to the adjacent transition can cause energy level splitting. Therefore, it can control the enhancement and suppression of the FWM processes in the system due to the effect of electromagnetically induced transparency. The results show that the pumping beams with different polarizations select the transitions between different Zeeman levels that, in turn, affect the enhancement and suppression efficiencies of FWM.     

Enhanced or suppressed six-wave mixing in a five-level atomic system

We show the enhancement and suppression of a six-wave mixing (SWM) signal in the electromagnetically induced transparency in a five-level ⁸⁵Rb atomic system. The results show the Autler—Townes splitting and the enhancement or suppression of SWM, which are caused respectively by a self-dressing effect and by an external dressing effect in the presence of mutual dressing between two SWM signals. In addition, we observe the polarization dependence of the enhancement and suppression of the SWM signals.