Using the time-dependent theory, we calculate the random-laser emission spectra in a two-dimensional strongly disordered medium. The calculation results show that in low dimensional systems, such as thinfilm disordered media and planar waveguides, the larger the difference of the refractive indices between the scattering and background media, the smaller the lasing threshold. We also reveal the existence of multimode survival and mode competition. We experimentally obtain the emission spectra of a dye solution with Al particles doped at different pumping energies, and the experimental results agree well with the calculated ones.OCIS codes: 290.4210, 140.3430, 300.6500. doi: 10.3788/COL201210.082901.In 1968, Letokhov first calculated the optical properties of a disordered medium and predicted the possibility of random lasing in disordered systems with gain. Since then, the random-laser action has been widely studied.Numerous theoretical [1−9] and experimental [10−18] investigations on random lasers have been made. Lawandy et al. discovered random emission in colloidal solutions in 1994 [10] . Then, Cao et al. observed the stimulated emission phenomenon in ZnO powders [11] . With the discovery of random lasers, many theoretical explanations for such laser phenomenon have been proposed, mainly including the diffusion equation with gain [2,17] . Anderson localized model, and time-dependent theory [3,19] . Letokhov established the diffusion equations with gain and successfully explained the exponential growth of photon energy density. Jiang et al. proposed the time-dependent theory using the finite-difference time domain (FDTD) algorithm to solve rate and Maxwell's equations numerically [3] . Using the time-dependent theory, we intuitively and comprehensively investigated the coherent feedback properties of random emission [20,21] . In this letter, using the time-dependent theory, we calculated the dependence of random lasing on the refractive indices of the scattering media. The calculation results show that when the pumping energy is relatively small, the peak intensity of the output spectrum changes slowly with the pumping energy and the full-width at half maximum (FWHM) is relatively large. When the pumping energy is increased to a certain value, the peak intensity exhibits exponential growth and the FWHM rapidly decreases. When the pumping energy is further increased, the peak intensity and FWHM reach and maintain certain values. Thus, in low dimensional systems, the larger the difference of the refractive indices of the scattering and background media, the smaller the lasing threshold. Moreover, we observed that the number of peaks in the emission spectrum increased as the pumping energy increased. These peaks appear at different locations and pumping energies, indicating mode competition. To confirm our theoretical predictions, we performed an experiment, where we chose the Al particles as the scattering medium and the Rhodamine-6G (Rh6G) as gain medium [22] . The scattering cross section of Al particles and...