We present robust control of superposition of spatial modes in a photonic crystal cavity arising from incorporating a weak localized perturbation. As expected, this perturbation breaks the symmetry of the underlying photonic crystal structure, resulting in a frequency shift of the cavity eigen modes. Engineering of the perturbation leads us to discover the comprehensive mathematical structure of the governing superposition of the spatial modes. This superposition is further designed to obtain controllable channeling of light through a cavity–waveguide system, thus demonstrating its applicabitily in realizing narrow (wide) band filters, controllable beam splitters, and wavelength multiplexers.

中文翻译：

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控制空间模式叠加以引导光子晶体中的光流

我们提出了一种稳健的控制，因为结合了微弱的局部摄动，在光子晶体腔中空间模式的叠加。如预期的那样，这种扰动破坏了下面的光子晶体结构的对称性，导致腔本征模的频率偏移。摄动工程使我们发现了空间模式控制叠加的综合数学结构。这种叠加设计还旨在获得通过腔波导系统的可控光通道，从而证明其在实现窄（宽带）滤光片，可控分束器和波长多路复用器方面的应用。