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The Effective Coupling Coefficient for a Completed PIN-PMN-PT Array
Ultrasonics ( IF 4.2 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.ultras.2020.106258
D N Stephens 1 , R Wodnicki 2 , R Chen 2 , L-M Liang 2 , Q Zhou 2 , K Morrison 3 , K W Ferrara 4
Affiliation  

The computation of the electromechanical coupling coefficient (EMCC) of a fully assembled medical ultrasound transducer array is directly computed with closed form expressions. The Levenberg-Marquardt non-linear regression algorithm (LMA) is employed to help confirm the EMCC calculated prediction (kEFF) and provide statistical insights. The complex electrical impedance spectra of a 1-3 composite array with two matching layers operating at a 3.75 MHz center frequency using PIN-PMN-PT single crystal material is measured in air both before and after oven heating at 160 °C for 15 min. The oven heating produces changes in the EMCC of -4.9%, clamped dielectric constant of -11%, and effective transducer longitudinal velocity of -2.5%. Utilizing the pre- and post-heating array impedance data, the calculated EMCC values from the new closed form expressions agree well with the complete KLM model based LMA, and also exhibit approximately one tenth the error as compared to the formulas for a flat, unloaded transducer.

中文翻译:

完整 PIN-PMN-PT 阵列的有效耦合系数

完全组装的医学超声换能器阵列的机电耦合系数 (EMCC) 的计算直接使用闭式表达式进行计算。Levenberg-Marquardt 非线性回归算法 (LMA) 用于帮助确认 EMCC 计算预测 (kEFF) 并提供统计见解。使用 PIN-PMN-PT 单晶材料在 3.75 MHz 中心频率下工作的具有两个匹配层的 1-3 复合阵列的复杂电阻抗谱在空气中测量,前后均在 160 °C 烘箱加热 15 分钟。烤箱加热使 EMCC 产生 -4.9% 的变化、-11% 的钳位介电常数和 -2.5% 的有效换能器纵向速度。利用加热前和加热后的阵列阻抗数据,
更新日期:2021-01-01
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