Study on the gain media with four energy level model using two dimensional FDTD method

A four energy level model is applied to the gain media, which shows possible application to the complex metamaterials system due to its amplification effect. The coupled equations named polarization equation, rate equations of electronic population and Maxwell's equations are used to describe the coupling between the atoms and electromagnetic wave. Population inversion and lasing threshold are investigated using numerical simulations based on a novel finite-difference time-domain (FDTD) treatment of the optical field. The validations of the method are also tested. The numerical results show the good agreement with the classic lasing theory. Our numerical model can be used as an efficient design tool for investigating novel physical phenomena for new laser devices.