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Uncertainty Quantification of Microstructure—Governed Properties of Polysilicon MEMS

机译:微结构的不确定度量化—多晶硅MEMS的规定性能

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摘要

In this paper, we investigate the stochastic effects of the microstructure of polysilicon films on the overall response of microelectromechanical systems (MEMS). A device for on-chip testing has been purposely designed so as to maximize, in compliance with the production process, its sensitivity to fluctuations of the microstructural properties; as a side effect, its sensitivity to geometrical imperfections linked to the etching process has also been enhanced. A reduced-order, coupled electromechanical model of the device is developed and an identification procedure, based on a genetic algorithm, is finally adopted to tune the parameters ruling microstructural and geometrical uncertainties. Besides an initial geometrical imperfection that can be considered specimen-dependent due to its scattering, the proposed procedure has allowed identifying an average value of the effective polysilicon Young’s modulus amounting to 140 GPa, and of the over-etch depth with respect to the target geometry layout amounting to O = −0.09 μm. The procedure has been therefore shown to be able to assess how the studied stochastic effects are linked to the scattering of the measured input–output transfer function of the device under standard working conditions. With a continuous trend in miniaturization induced by the mass production of MEMS, this study can provide information on how to handle the foreseen growth of such scattering.
机译:在本文中,我们研究了多晶硅膜的微结构对微机电系统(MEMS)总体响应的随机影响。专门设计了一种用于片上测试的设备,以便根据生产过程最大化其对微结构性能波动的敏感性;作为副作用,它对与蚀刻工艺有关的几何缺陷的敏感性也得到了提高。开发了该装置的降阶耦合机电模型,并最终采用基于遗传算法的识别程序来调整用于控制微观结构和几何不确定性的参数。除了最初的几何缺陷(由于其散射而可以视样品而定)外,所提出的程序还允许确定有效多晶硅杨氏模量等于140 GPa的平均值以及相对于目标几何形状的过蚀刻深度的平均值布局总计为O = −0.09μm。因此,该程序已被证明能够评估所研究的随机效应如何与标准工作条件下设备的测量的输入-输出传递函数的散射相关联。随着由MEMS的大量生产引起的小型化的持续趋势,这项研究可以提供有关如何处理这种散射的可预见增长的信息。

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