Bloch bound states in the radiation continuum in a periodic array of dielectric rods

By E. Bulgakov, A. Sadreev. 2014

165 citations recorded by the source corpus.

We consider an infinite periodic array of dielectric rods in vacuum with the aim to demonstrate three types of a Bloch bound states in the continuum (BSC), symmetry protected with a zero Bloch vector, embedded into one diffraction channel with nonzero Bloch vector, and embedded into two and three diffraction channels. The first and second types of the BSC exist in a wide range of material parameters of the rods, while the third occurs only at a specific value of the radius of the rods. We show that the second type supports the power flux along the array. In order to find BSC we put forward an approach based on the expansion over the Hankel functions. We show how the BSC reveals itself in the scattering function when the singular BSC point is approached along a specific path in the parametric space.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/a756c5b7409793154d89f619feadd1ea9064093b

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Bound states in the continuum (2016, background): “Such BICs also exist in a linear periodic array of rectangles 134,135 , cylinders 136 , or spheres 137 , and related BICs have been found in time-periodic systems 138 .”