纳米谐振器形状变形的准正规模微扰理论
Shape deformation of nanoresonator: a quasinormal-mode perturbation theory
摘要：
当材料参数固定时，纳米谐振器的光学响应由其形状和尺寸决定。因此，设计纳米谐振器和理解其基础物理将受益于一个理论，该理论预测开放系统的谐振模式的演变-所谓的准正规模式（QNM）-随着纳米谐振器形状的变化。QNM微扰理论是一种理想的选择。然而，现有的理论开发的材料变化无法提供准确的形状变形的扰动修正。通过引入一种新的外推技术，我们开发了一个严格的QNM PT，忠实地代表扰动域中的电磁场。对变形纳米谐振器的本征频率、本征模和光学响应进行的数值测试证明了本PT的预测力，即使对于大变形也是如此。这为逆向设计开辟了新的途径，因为我们可以通过设计超腔模式和异常点来简化和物理洞察力。
英文摘要：
When material parameters are fixed, optical responses of nanoresonators are dictated by their shapes and dimensions. Therefore, both designing nanoresonators and understanding their underlying physics would benefit from a theory that predicts the evolutions of resonance modes of open systems---the so-called quasinormal modes (QNMs)---as the nanoresonator shape changes. QNM perturbation theories (PTs) are one ideal choice. However, existing theories developed for material changes are unable to provide accurate perturbation corrections for shape deformations. By introducing a novel extrapolation technique, we develop a rigorous QNM PT that faithfully represents the electromagnetic fields in perturbed domain. Numerical tests performed on the eigenfrequencies, eigenmodes and optical responses of deformed nanoresonators evidence the predictive force of the present PT, even for large deformations. This opens new avenues for inverse design, as we exemplify by designing super-cavity modes and exceptional points with remarkable ease and physical insight.
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