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Computer optimization of transducer transfer functions using constraints on bandwidth, ripple, and loss

机译:使用带宽,纹波和损耗约束来对换能器传递函数进行计算机优化

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Transducers, having one piezoelectric layer near its half-wave resonance and N quarter-wave layers, are designed using computer optimization to adjust the thicknesses and impedances of the various layers so as to fit the resulting transfer function to a target function. An augmented Mason model is used to evaluate the transducer. Optimization of fit is by a steepest descent algorithm. Essentially error-free fits are achieved for target functions that match the underlying dynamics. By applying classical filter theory to a lumped-element transducer model, the transducers dynamics are identified as all-pole filters, which are characterized by polynomials of order N to N+1. The design methodology is tested by designing a series of low-loss transducers that explore fractional bandwidths from 45 to 116%. From these studies there appears to be constraints on the minimum Q of the poles, and other properties. Typical power transfer efficiencies of -1 dB are achieved by impedance scale matching. Using a second-order Fano bound, it is shown that the matching layers function as an optimal compensation network for low-loss flat bandpass transducers. Finally, by the inclusion of loss, lower Q poles are demonstrated with a Bessel transducer.
机译:传感器在其半波谐振附近有一个压电层,在N个四分之一波附近有传感器,这些传感器是使用计算机优化设计的,可以调节各个层的厚度和阻抗,以使最终的传递函数适合目标函数。增强的梅森模型用于评估换能器。通过最速下降算法优化拟合。对于与基础动态匹配的目标函数,基本实现了无差错拟合。通过将经典滤波器理论应用于集总换能器模型,可以将换能器动力学识别为全极点滤波器,其特征在于阶数为N到N + 1的多项式。通过设计一系列低损耗换能器来测试设计方法,这些换能器探索从45%到116%的分数带宽。从这些研究中,似乎对极点的最小Q和其他属性有限制。阻抗比例匹配可实现-1 dB的典型功率传输效率。使用二阶Fano边界,表明匹配层可作为低损耗平面带通换能器的最佳补偿网络。最后,通过包含损​​耗,可以用贝塞尔传感器演示较低的Q极。

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