An innovative methodology for the synthesis of sparse concentric-ring isophoric arrays matching a user-defined reference pattern is proposed. The synthesis problem is recast as a two-step approach firstly aimed at (a) determining the sparsest auxiliary layout of concentric current rings matching the reference pattern through a Bayesian compressive sensing method and successively (b) yielding the concentric-ring isophoric array by means of a density tapering technique. A selected set of numerical experiments is presented to provide some insights about the effectiveness, the numerical efficiency, and the flexibility of the proposed hybrid method