| CPC B06B 1/0629 (2013.01) [B06B 1/0651 (2013.01); B06B 1/0666 (2013.01); B06B 1/0685 (2013.01); H10N 30/04 (2023.02); Y10T 29/42 (2015.01); Y10T 29/5313 (2015.01)] | 9 Claims |

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1. An apparatus comprising:
a plurality of piezoelectric micromachined ultrasonic transducers (PMUTs) (500), each PMUT of the plurality thereof including a membrane (204) that is characterized by a first design that includes a first lateral dimension (D1), a center (C1), and a periphery (P1), wherein each PMUT of the plurality thereof has a resonant frequency that is based on at least one of the stiffness and mass of its respective membrane;
wherein the membrane of a first PMUT (502-1,1) of the plurality thereof has a first profile of at least one of stiffness and mass across its respective first lateral dimension, and wherein the first PMUT has a first resonant frequency that is based on the first profile;
wherein the membrane of a second PMUT (502-M,1) of the plurality thereof has a second profile of at least one of stiffness and mass across its respective first lateral dimension, and wherein the second PMUT has a second resonant frequency that is based on the second profile, and further wherein the second profile is different from the first profile; and
wherein the first and second resonant frequencies are within an acceptable range of resonant frequencies (Δf0).
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