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In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
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    This study presents new circuit models for dual-plate capacitive micromachined ultrasonic transducers (CMUTs). These models accurately predict performance, including how back plate thickness affects radiation, crucial for CMUT design.

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    Area of Science:

    • Acoustics
    • Microelectromechanical Systems (MEMS)
    • Materials Science

    Background:

    • Capacitive micromachined ultrasonic transducers (CMUTs) are vital for ultrasound applications.
    • Existing models often simplify CMUT cell structures, limiting accuracy for complex designs.
    • Dual-plate CMUTs offer unique advantages but require sophisticated modeling.

    Purpose of the Study:

    • To develop accurate large-signal and small-signal equivalent circuit models for dual-plate CMUT cells.
    • To analyze the impact of substrate and back plate thickness on CMUT performance.
    • To validate model accuracy for predicting fundamental components and harmonic distortion.

    Main Methods:

    • Introduction of novel equivalent circuit models for dual-plate CMUTs.
    • Calculation of diffraction coefficients for baffled and unbaffled CMUT cells.
    • Modeling of the substrate as a thick radiating plate.
    • Simulation of CMUT arrays to assess radiation performance dependence on back plate thickness.
    • Application of harmonic balance analysis for large-signal model validation.

    Main Results:

    • The substrate can be effectively modeled as a thick radiating plate.
    • Backing impedance reactance is compliant for specific substrate materials (Poisson's ratio < 1/3).
    • Small-signal models suffice for fundamental component prediction under large-signal excitation.
    • Large-signal models are necessary for accurate harmonic distortion analysis.
    • Rayleigh-Bloch waves are excited at both front and back surfaces.

    Conclusions:

    • The developed circuit models provide a robust framework for analyzing dual-plate CMUTs.
    • Understanding the influence of back plate thickness is critical for optimizing CMUT radiation performance.
    • Model accuracy is confirmed, guiding the selection of appropriate models for different analysis needs in CMUT research and development.