Isolated spectrally discrete bound states in the continuum in an open system

Samyobrata Mukherjee, Jordi Gomis-Bresco, David Artigas, Lluis Torner
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Abstract

Bound states in the continuum (BICs) exist in a variety of physical systems where they appear as lossless propagating states surrounded by radiating modes. In the case of open systems, they coexist with continuous families of guided states, which may be modes or other BICs, located in different regions of the frequency-momentum parameter space. Here we report anisotropic waveguiding structures where guided modes and BICs protected by symmetry are not possible whatsoever, though an isolated, single interference BIC emerges as a lossless, solitary needle from a sea of radiating states. The needle BIC is the unique possible bound state, which originates from the interplay of the two different radiation channels present in the structure, and remarkably, it exists at a single frequency and a precise propagation direction as a spectrally discrete bound state for any practical range of frequencies.
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开放系统中连续统中孤立的频谱离散束缚态
连续统中的束缚态存在于各种物理系统中,它们表现为被辐射模式包围的无损传播态。在开放系统中,它们与连续的导态族共存,这些导态族可能是模态或其他bic,位于频率-动量参数空间的不同区域。在这里,我们报告了各向异性波导结构,其中不可能有对称保护的导模和BIC,尽管孤立的、单一干涉的BIC从辐射状态的海洋中作为无损的、孤立的针出现。针状BIC是唯一可能的结合态,它源于结构中存在的两种不同的辐射通道的相互作用,值得注意的是,它在任何实际频率范围内都以频谱离散的结合态存在于单一频率和精确的传播方向上。
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