Centurion Martin, Porter Mason A, Pu Ye, Kevrekidis P G, Frantzeskakis D J, Psaltis Demetri
Department of Electrical Engineering, California Institute of Technology, Pasadena, California 91125, USA.
Phys Rev Lett. 2006 Dec 8;97(23):234101. doi: 10.1103/PhysRevLett.97.234101. Epub 2006 Dec 7.
We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating glass-air layers, is the piecewise-constant nature of the material properties, which allows a theoretical linear stability analysis leading to a Kronig-Penney equation whose forbidden bands correspond to the modulationally unstable regimes. We find very good quantitative agreement between theoretical, numerical, and experimental diagnostics of the modulational instability. Because of the periodicity in the evolution variable arising from the layered medium, there are multiple instability regions rather than just one as in a uniform medium.
我们展示了对分层克尔介质中调制不稳定性的首次实验研究。我们的结构由交替的玻璃 - 空气层组成，其特别有趣且吸引人的特征是材料特性的分段常数性质，这使得能够进行理论线性稳定性分析，得出一个克罗尼格 - 彭尼方程，其禁带对应于调制不稳定区域。我们发现调制不稳定性的理论、数值和实验诊断之间有非常好的定量一致性。由于分层介质在演化变量中产生的周期性，存在多个不稳定区域，而不像均匀介质中只有一个。
