By numerically solving Maxwell's equations and rate equations in a two-dimensional (2D) active random media made of ruby grains with a three-level atomic system, the threshold gain behavior for a THz random laser is investigated. The spectral intensity variation with the pumping rate is calculated for both the transverse magnetic (TM) field and the transverse electric (TE) field. The computed results show that THz random lasing could occur in a 2D disordered medium for both the TM and TE cases. Further analysis reveals that the THz lasing threshold for TM fields is lower than that for TE fields.
random lasers, polarization, terahertz
Citation:Liu Y, Liu J S, Wang K J. Numerical study of threshold gain behavior for a THz random laser in a two-dimensional active disordered medium with a three-level atomic system. Chinese Sci Bull, 2011Bull, , 56: 2664Bull, -2667Bull, , doi: 10.1007 Since random laser action was first predicted by Letokhov in 1968 [1] and observed by Lawandy in 1994 [2], many experimental and theoretical studies have been performed [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. To numerically simulate the propagation and localization of electromagnetic waves in such random media, the finite-difference time-domain (FDTD) method has been widely used. Moreover, various types of auxiliary differential equation FDTD (ADE-FDTD) approaches for the analysis of nonlinear and active systems have also been developed. Jiang and Soukoulis successfully reproduced random lasing in one-dimensional (1D) random media using a semiclassical model. In this model, FDTD method is coupled with the rate equation in a four-level energy structure [6]. Their methodology has been extended to the twodimensional (2D) case. Note that the search for efficient, high-power, inexpensive, and compact methods for the generation of coherent THz radiation has been a primary research thrust in modern optoelectronics and photonics [18][19][20][21][22][23][24][25]. For this, recently, a 1D theoretical model was built for active disordered media made of ruby grains with a three-level atomic system. These numerical results revealed that terahertz (THz) random lasing could occur in the 1D case under suitable conditions [17]. Although 1D random laser can reveal qualitative properties in a real random lasing system, there are still many physical mechanisms which cannot be investigated using a 1D model. Therefore, the 2D model has been widely used to research random lasing in the optical band [6,[12][13][14][15][16].We aim to construct a model to reveal THz random lasing effects in the 2D case. In this work, by numerically solving Maxwell's equations and rate equations in a 2D active random media made of ruby grains with a three-level atomic system, the threshold gain behavior of a THz random laser is investigated. Using this theory, numerical calculations are performed. The results show that THz random lasing could occur in a 2D disordered medium and that the lasing threshold for transverse magnetic (TM) fields is lower than that fo...