左手材料非线性腔中的负衍射花样动力学
Negative diffraction pattern dynamics in nonlinear cavities with left-handed materials
摘要：
我们研究了一个环形腔中填充了一个右手材料的平板和一个左手材料的平板。假设两层都是非线性克尔介质。首先，我们推导出光在左手材料中传播的模型。通过构建一个平均场模型，我们表明，衍射的符号可以是积极的或消极的，在这个谐振器中，取决于层的厚度。随后，我们证明了调制不稳定性的动力学行为的强烈影响的衍射系数的符号。最后，我们研究了该谐振器中的耗散结构，并揭示了在空间周期性结构的形成上的二维向上切换过程的优势，导致截断的均匀的磁滞循环。
英文摘要：
We study a ring cavity filled with a slab of a right-handed material and a slab of a left-handed material. Both layers are assumed to be nonlinear Kerr media. First, we derive a model for the propagation of light in a left-handed material. By constructing a mean-field model, we show that the sign of diffraction can be made either positive or negative in this resonator, depending on the thicknesses of the layers. Subsequently, we demonstrate that the dynamical behavior of the modulation instability is strongly affected by the sign of the diffraction coefficient. Finally, we study the dissipative structures in this resonator and reveal the predominance of a two-dimensional up-switching process over the formation of spatially periodic structures, leading to the truncation of the homogeneous hysteresis cycle.
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