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arXiv 2006.02784physics.ins-detcs.SYeess.SYmath.OC
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磁滞回线近似解析模型及其在扫描隧道显微镜中的应用

Analytical model for the approximation of hysteresis loop and its application to the scanning tunneling microscope

Rostislav V. Lapshin

摘要:

提出了一种新的模型描述和类型分类的基础上进行的各种实际磁滞回线。对回路近似函数进行了分析;定义了模型的参数和特性-矫顽磁性、回复极化、滞后值、自发极化、感应压电系数、饱和值、每循环能量的滞后损失。结果表明,与某些磁滞回线类型的压电操纵器,有没有热生产的差异。计算了非线性迟滞元件的谐波线性化系数,推导了非线性迟滞元件的谐波线性化传递函数。定义了具有最小相移的磁滞回线类型。对实际磁滞回线,该模型的平均相对逼近误差为1.5%-6%。介绍了一种由实验数据确定模型参数的方法。给出了在扫描隧道显微镜的扫描单元中用于光栅畸变补偿的结果的实例。

英文摘要:

A new model description and type classification carried out on its base of a wide variety of practical hysteresis loops are suggested. An analysis of the loop approximating function was carried out; the parameters and characteristics of the model were defined - coersitivity, remanent polarization, value of hysteresis, spontaneous polarization, induced piezocoefficients, value of saturation, hysteresis losses of energy per cycle. It was shown that with piezomanipulators of certain hysteresis loop types, there is no difference in heat production. The harmonic linearization coefficients were calculated, and the harmonically linearized transfer function of a nonlinear hysteresis element was deduced. The hysteresis loop type was defined that possesses minimum phase shift. The average relative approximation error of the model has been evaluated as 1.5%-6% for real hysteresis loops. A procedure for definition of the model parameters by experimental data is introduced. Examples of using the results in a scan unit of a scanning tunneling microscope for compensation of raster distortion are given.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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