  We present a number of explicit calculations of Renyi and entanglement
entropies in situations where the entangling surface intersects the boundary in
$d$-dimensional Minkowski spacetime. When the boundary is a single plane we
compute the contribution to the entropy due to this intersection, first in the
case of the Neumann and Dirichlet boundary conditions, and then in the case of
a generic Robin type boundary condition. The flow in the boundary coupling
between the Neumann and Dirichlet phases is analyzed in arbitrary dimension $d$
and is shown to be monotonic, the peculiarity of $d=3$ case is noted. We argue
that the translational symmetry along the entangling surface is broken due the
presence of the boundary which reveals that the entanglement is not
homogeneous. In order to characterize this quantitatively, we introduce a
density of entanglement entropy and compute it explicitly. This quantity
clearly indicates that the entanglement is maximal near the boundary. We then
consider the situation where the boundary is composed of two parallel planes at
a finite separation and compute the entanglement entropy as well as its density
in this case. The complete contribution to entanglement entropy due to the
boundaries is shown not to depend on the distance between the planes and is
simply twice the entropy in the case of single plane boundary. Additionally, we
find how the area law, the part in the entropy proportional to the area of
entire entangling surface, depends on the size of the separation between the
two boundaries. The latter is shown to appear in the UV finite part of the
entropy.
