A new picture of the photonic eigenmodes of dielectric rings with a rectangular cross section is presented, which is fundamentally different from those of whispering gallery modes of the disc. The low-frequency photonic spectrum is formed by two types of galleries: one type begins with radial Fabry-Pérot-like resonances, and the other with axial Fabry-Pérot-like resonances, in both cases the galleries continue with a set of equidistant longitudinal modes. The new results are: (1) a linear dependence of the wavelength of radial and axial Fabry-Pérot-like resonances on the width or height of the ring, respectively, has been demonstrated; (2) it is established that all longitudinal resonances follow the spectral shifts of the corresponding Fabry-Pérot-like resonances when the width or height of the ring changes, i.e. each gallery is a separate photonic package. As a result, galleries can intersect in parametric space, leading to impressive resonance effects, including bound states in the continuum. The analysis is based on numerical calculations and experiments in near- and far-fields. Our results open the door to new fundamental phenomena and enhanced functionality of dielectric ring resonators.

提出了具有矩形截面的介质环的光子本征模的新图像，该图与回音壁模式的光子本征模有本质区别光盘的。低频光子谱由两种类型的画廊形成：一种类型以径向类法布里-珀罗共振开始，另一种以轴向类法布里-珀罗共振开始，在这两种情况下，画廊都以一组等距的纵向延续。模式。新结果是：（1）已经证明了径向和轴向类法布里-珀罗共振的波长分别与环的宽度或高度的线性相关性；(2) 确定当环的宽度或高度变化时，所有纵向共振都遵循相应的类法布里-珀罗共振的光谱位移，即每个画廊是一个单独的光子包。因此，画廊可以在参数空间中相交，从而产生令人印象深刻的共振效应，包括连续体中的束缚态。该分析基于近场和远场的数值计算和实验。我们的结果为介电环形谐振器的新基本现象和增强功能打开了大门。