  The normal modes of Proca field perturbations in $d$-dimensional anti-de
Sitter spacetime, AdS$_d$ for short, with reflective Dirichlet boundary
conditions, are obtained exactly. Within the Ishibashi-Kodama framework, we
decompose the Proca field in scalar-type and vector-type components, according
to their tensorial behavior on the $(d-2)$-sphere $\mathcal{S}^{d-2}$. Two of
the degrees of freedom of the Proca field are described by scalar-type
components, which in general are coupled due to the mass of the field, but in
AdS$_d$ we show that they can be decoupled. The other $d-3$ degrees of freedom
of the field are described by a vector-type component that generically
decouples completely. The normal modes and their frequencies for both the
scalar-type and vector-type components of the Proca field are then obtained
analytically. Additionally, we analyze the normal modes of the Maxwell field as
the massless limit of the Proca field. We find that for scalar-type
perturbations in $d=4$ there is a discontinuity in the massless limit, in $d=5$
the massless limit is well defined using Dirichlet-Neumann rather than
Dirichlet boundary conditions, and in $d>5$ the massless limit is completely
well defined, i.e., it is obtained smoothly from the massless limit of the
scalar-type perturbations of the Proca field. For vector-type perturbations the
Maxwell field limit is obtained smoothly for all $d$ from the massless limit of
the vector-type perturbations of the Proca field.
