  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.
