A substrate structure for an acoustic resonator device. The substrate has a substrate member comprising a plurality of support members configured to form an array structure. In an example, the substrate member has an upper region, and optionally, has a plurality of recessed regions configured by the support members. The substrate has a thickness of single crystal piezo material formed overlying the upper region. In an example, the thickness of single crystal piezo material has a first surface region and a second surface region opposite of the first surface region.