2014/11/17 by Evgeny N. Bulgakov, Almas F. Sadreev
Physics and Astronomy · #physics.optics
paper · pdf · doi:10.1103/physreva.90.053801
published as Physical Review A90, 053801 (2014) · 12 pages, 10 figures
arxiv created 2014/11/17 · arxiv updated 2014/11/18
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.