The resonant optical phenomena associated with the physics of Fano resonances have received particular attention due to their numerous potential applications. In this work, the Fano resonance behaviors of a planar waveguide with two dielectric ridges have been theoretically studied. By using the temporal coupled-mode theory, a general formula was obtained for describing the Fano response of a structure, and general conclusions for the determination of the resonance parameters were drawn. A special type of Fano resonance (i.e., Fano antiresonance) was demonstrated by tuning the resonance parameters. Different from the results by using two effective coupling oscillators, two kinds of Fano antiresonance phenomena were found. We showed that the Fano antiresonance effects of a structure can suppress the transmission of the guided mode and contribute to different field localization behaviors in the ridges due to the different interference effects. By obviating the need for a near-field interaction, the Fano antiresonance effects induced by phase coupling pave the way toward dynamic control of the spectral response and field localization behaviors in the integrated optoelectronic system.

中文翻译：

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具有两个介电脊的平面波导中的相感应Fano反共振

与Fano共振的物理现象相关的共振光学现象因其众多的潜在应用而受到了特别的关注。在这项工作中，已经对具有两个介电脊的平面波导的Fano共振行为进行了理论研究。利用时间耦合模理论，得到了用于描述结构的Fano响应的一般公式，并得出了确定共振参数的一般结论。通过调整共振参数演示了一种特殊类型的Fano共振（即Fano反共振）。与使用两个有效耦合振荡器得到的结果不同，发现了两种Fano反共振现象。我们表明，结构的Fano反共振效应可以抑制引导模式的传输，并由于不同的干扰效应而导致脊中不同的场定位行为。通过消除对近场相互作用的需求，由相位耦合引起的Fano反共振效应为动态控制集成光电系统中的光谱响应和场定位行为铺平了道路。