Schwartz Alon, Fischer Baruch
Department of Electrical Engineering, Technion, Haifa 32000, Israel.
Opt Express. 2013 Mar 11;21(5):6196-204. doi: 10.1364/OE.21.006196.
Laser mode and frequency combs, as lasers, are commonly one-dimensional systems. Here we present a construction of multi-dimensional laser-mode lattices (mode hyper-combs) with unique properties. They are obtained from regular 1-dimensional combs by multi-frequency modulation in active mode-locking (AML). The hyper-comb, with near neighbor mode coupling and noise functioning as temperature, is mapped to interacting magnetic-spins lattices in the spherical-model which is one of the few statistical-mechanics systems soluble in all dimensions. The important result is that such systems have, in d>2 dimensions, a phase-transition to a global phase-ordered mode hyper-comb. It can therefore change the nature of AML lasers by capturing very broad coherent frequency bandwidths and obtaining ultimately short and robust pulses. Additionally, the hyper-combs can serve as a rare physical realization of the spherical-model in any dimension.
作为激光，激光模式和频率梳通常是一维系统。在此，我们展示了具有独特性质的多维激光模式晶格（模式超梳）的构建。它们是通过主动锁模（AML）中的多频调制从规则的一维梳状结构获得的。具有近邻模式耦合且噪声起到温度作用的超梳，被映射到球形模型中的相互作用磁自旋晶格，而球形模型是少数在所有维度都可求解的统计力学系统之一。重要的结果是，在d>2维时，此类系统会发生向全局相位有序模式超梳的相变。因此，它可以通过捕获非常宽的相干频率带宽并最终获得短而稳定的脉冲来改变AML激光器的特性。此外，超梳可以作为球形模型在任何维度的一种罕见物理实现。
