Studies of annular structures were adopted more and more frequently due to their better stability and richer dynamical properties, however, vector bright annular giant waves (GW) in the partially nonlocal nonlinear medium are hardly reported. In this paper, we focus on vector bright annular GW doublets, and study their controllable excitations. By the link between \(\psi _s\) in a 3D variable-coefficient coupled partially nonlocal nonlinear Schrödinger model (NSM) and \(\Psi \) in constant-coefficient coupled NSM, using the ring approximation and via the Darboux approach, we find vector bright annular GW doublet solution. This solution hints that amplitude, phase, width and center are directly related to these parameters not only the linear potential and phase chirp, but also diffraction. Moreover, we investigate the excitation to maximal and inchoate shapes of vector bright annular GW doublets in the periodical system and the exponential system with the periodical modulation, and the impact of radius and thickness parameters on these different excitations. Especially, we analyze the repeated excitations of two times to maximal and inchoate shapes in the exponential system with the periodical modulation.
