耗散系统中非定域相互作用的影响：朝向最小尺寸定域结构
Impact of nonlocal interactions in dissipative systems: towards minimal-sized localized structures
摘要：
为了研究非线性系统中空间局域结构的大小限制，我们探讨了线性非局域性对其存在域和稳定域的影响。我们选择的系统是一个光学微谐振器，在谐振腔中包含一个额外的超材料层，允许材料的非局部响应成为主导的空间过程。在这种情况下，我们的分歧分析表明，这种非局域性施加了一个新的限制的宽度的本地化结构超越传统的衍射极限。
英文摘要：
In order to investigate the size limit on spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator containing an additional metamaterial layer in the cavity, allowing the nonlocal response of the material to become the dominating spatial process. In that case, our bifurcation analysis shows that this nonlocality imposes a new limit on the width of localized structures going beyond the traditional diffraction limit.
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