In this work, we examine the role of diffraction in the design of ring-shaped ultrasonic receivers for photoacoustic probes. The sensitivity patterns of ultrasonic receiving rings are calculated at 1 MHz using the angular spectrum technique. Three separate series of simulations are considered: flat ring with a fixed outer diameter and a variable inner diameter, flat ring with a fixed inner diameter and variable outer diameter, and a spherically focused ring with a variable inner diameter. From these results the focal zone characteristic and sensitivities are calculated. For the planar rings, we find that the spatial sensitivity varies markedly with ring width but the overall sensitivities are comparable. For the focused (spherically curved) rings, the focal distances and beam volumes were similar while the sensitivity grew with ring thickness.