Chua Song-Liang, Chong Yidong, Stone A Douglas, Soljacić Marin, Bravo-Abad Jorge
Department of Electrical Engineering and Computer Science, MIT, Cambridge, Massachusetts 02139, USA.
Opt Express. 2011 Jan 17;19(2):1539-62. doi: 10.1364/OE.19.001539.
We present a theoretical analysis of lasing action in photonic crystal surface-emitting lasers (PCSELs). The semiclassical laser equations for such structures are simulated with three different theoretical techniques: exact finite-difference time-domain calculations, an steady-state ab-initio laser theory and a semi-analytical coupled-mode formalism. Our simulations show that, for an exemplary four-level gain model, the excitation of dark Fano resonances featuring arbitrarily large quality factors can lead to a significant reduction of the lasing threshold of PCSELs with respect to conventional vertical-cavity surface-emitting lasers. Our calculations also suggest that at the onset of lasing action, most of the laser power generated by finite-size PCSELs is emitted in the photonic crystal plane rather than the vertical direction. In addition to their fundamental interest, these findings may affect further engineering of active devices based on photonic crystal slabs.
我们对光子晶体表面发射激光器（PCSELs）中的激光作用进行了理论分析。使用三种不同的理论技术对这类结构的半经典激光方程进行了模拟：精确的有限差分时域计算、稳态从头算激光理论和半解析耦合模形式。我们的模拟表明，对于一个示例性的四能级增益模型，具有任意大品质因数的暗法诺共振的激发会导致PCSELs的激光阈值相对于传统垂直腔表面发射激光器显著降低。我们的计算还表明，在激光作用开始时，有限尺寸PCSELs产生的大部分激光功率是在光子晶体平面内发射，而不是在垂直方向。除了其基本的研究意义外，这些发现可能会影响基于光子晶体平板的有源器件的进一步工程设计。
