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We consider an infinite periodic array of dielectric rods in vacuum with theaim to demonstrate three types of a Bloch bound states in the continuum (BSC),symmetry protected with a zero Bloch vector, embedded into one diffractionchannel with nonzero Bloch vector, and embedded into two and three diffractionchannels. The first and second types of the BSC exist in a wide range ofmaterial parameters of the rods, while the third occurs only at a specificvalue of the radius of the rods. We show that the second type supports thepower flux along the array. In order to find BSC we put forward an approachbased on the expansion over the Hankel functions. We show how the BSC revealsitself in the scattering function when the singular BSC point is approachedalong a specific path in the parametric space.

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