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Localized plateau beam resulting from strong nonlocal coupling in a cavity filled by metamaterials and liquid-crystal cells

机译:由超材料和液晶单元填充的空腔中的强非局部耦合导致的局部平稳光束

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We investigate the formation of a localized plateau beam in the transverse section of a nonlinear optical ring cavity filled with a metamaterial and a nonlocal medium such as a nematic liquid crystal. We show that, far from the modulational instability regime, localized structures with a varying width may be stable in one and two-dimensional settings. The mechanism of stabilization is related with strong nonlocal coupling mediated by a Lorentzian type of kernel. We show that there exists stable bright and dark localized structures. A reduction of Lugiato-Lefever equation in the regime close to the nascent bistability allows us to analytically derive a simple formula for the width of localized structures in one-dimensional systems. Direct numerical simulations of the dynamical model agree with the analytical predictions.
机译:我们研究了在充满超材料和非局域介质(例如向列液晶)的非线性光学环腔的横截面中局部平台光束的形成。我们表明,远离调制不稳定性体系,具有变化宽度的局部结构在一维和二维设置中可能是稳定的。稳定的机制与洛伦兹型籽粒介导的强非局部偶联有关。我们表明存在稳定的明暗局部结构。将Lugiato-Lefever方程简化为接近新生双稳态的状态,使我们能够分析得出一维系统中局部结构的宽度的简单公式。动力学模型的直接数值模拟与分析预测一致。

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