Department of Electrical and Systems Engineering, Washington University, St. Louis, MO 63130, USA.
Institute for Theoretical Physics, Vienna University of Technology, A-1040 Vienna, Austria.
Science. 2014 Oct 17;346(6207):328-32. doi: 10.1126/science.1258004.
Controlling and reversing the effects of loss are major challenges in optical systems. For lasers, losses need to be overcome by a sufficient amount of gain to reach the lasing threshold. In this work, we show how to turn losses into gain by steering the parameters of a system to the vicinity of an exceptional point (EP), which occurs when the eigenvalues and the corresponding eigenstates of a system coalesce. In our system of coupled microresonators, EPs are manifested as the loss-induced suppression and revival of lasing. Below a critical value, adding loss annihilates an existing Raman laser. Beyond this critical threshold, lasing recovers despite the increasing loss, in stark contrast to what would be expected from conventional laser theory. Our results exemplify the counterintuitive features of EPs and present an innovative method for reversing the effect of loss.
控制和反转损耗的影响是光学系统的主要挑战。对于激光来说,损耗需要通过足够的增益来克服,以达到激光阈值。在这项工作中,我们展示了如何通过将系统的参数引导到一个异常点(EP)附近来将损耗转化为增益,当系统的本征值和相应的本征态合并时就会发生 EP。在我们的耦合微谐振器系统中,EP 表现为损耗诱导的激光抑制和恢复。在低于临界值时,增加损耗会消除现有的拉曼激光。超过这个临界阈值,尽管损耗不断增加,激光仍会恢复,这与传统激光理论所预期的情况形成鲜明对比。我们的结果例证了 EP 的反直觉特征,并提出了一种反转损耗影响的创新方法。