The comparison between optical and homogeneous pumping with FDTD method

The finite-difference time-domain (FDTD) method is proposed to model Maxwell-Bloch equations with a four-level quantum system for investigating the nano-structures incorporated with gain materials. To understand the lasing behavior and loss compensation mechanism of the gain material, a self-consistent computational scheme is presented. Comparisons between optical and homogeneous Pumping are given. Our self-consistent computational scheme can be used to design new loss-compensation structures with metamaterials.