Derivation of the electrical impedance, transmission voltage response and reception force response is also provided. The resulting ordinary differential equation is solved to give the frequency domain response of the system and the pressure output at the membrane. The mathematical model is described based on matching the acoustic impedances at each interface of the device. A 1D (in space) model is proposed so that the inverse problem of optimizing the design parameters of the device for a desired output is not computationally prohibitive. This article considers a theoretical model of an electrostatic transducer with resonating conduits connected to the cavities in the backplate.
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