Spectral time evolution of polarized modes under local pumping in a two-dimensional random medium

Abstract

The spectral time evolution of polarized modes under local pumping in two-dimensional (2D) random media is investigated by simultaneously solving Maxwell's equations and rate equations. Also the values of quality factor (Q factor) are obtained for the marked polarized modes by calculating the decay rates of them. The results demonstrate that there exists a critical value of local pumping area for TM modes. If the area is less than this value, the TM modes would have a quicker rise of the peak intensity and smaller Q factor than that of TE modes. Or else the conclusions would be contrary.