Piezoelectric transduction has lately been employed in wireless acoustic power transfer (APT) for powering electronic components that cannot be accessed easily, such as deep-implanted medical devices. Typically, the axial (or thickness) vibration mode of piezoelectric materials is used to generate acoustic waves that propagate through a medium, which are then converted back into electricity and delivered to an electrical load at the receiver end. The piezoelectric receiver can have various aspect ratios (length/diameter) in a given APT application. This work aims to develop and compare various models, such as the classical theory, Rayleigh’s theory, and Bishop’s theory, as well as finite-element model simulations, for different aspect ratios with an emphasis on those with comparable dimensions. Following analytical modeling and numerical simulation efforts, both in air and fluid loaded impedance frequency response functions are compared to report the valid aspect ratio ranges of the respective theories and their limitations, along with comparisons against experiments.