Numerically Denoising Thermally Tunable and Thickness‐Dependent Terahertz Signals in ErFeO3 Based on Bézier Curves and B‐Splines,Annalen Der Physik

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Numerically Denoising Thermally Tunable and Thickness‐Dependent Terahertz Signals in ErFeO3 Based on Bézier Curves and B‐Splines
Annalen Der Physik ( IF 2.2 ) Pub Date : 2021-01-18 , DOI: 10.1002/andp.202000464
Xinxi Zeng _{1,

2,

3} , Han Zhang _{2,

3} , Xiaoqing Xi ₃ , Bo Li _{2,

3} , Ji Zhou ₃

Affiliation

The terahertz (THz) spectral range offers a platform for experimentally collecting electromagnetic pulses to analyze the intrinsic resonances of matter and has become an important field for applying intrinsic responses to future information devices. However, a lack of numerical methods for signal denoising exists in the knowledge of the THz spectral range. In this paper, numerical methods that employ the Bézier curve and its generalization (B‐spline) to denoise thermally tunable and thickness‐dependent terahertz signals are proposed. Different thicknesses of ErFeO₃ are chosen and prepared. Both Bézier curves and B‐splines have the ability to denoise the signals and the effect of the Bézier curves on the noise is close to but slightly less than that of the B‐splines. Additionally, the B‐splines show a better noise reduction effect and have better signal strength stability and robustness than do the Bézier curves. Thus, B‐splines are applied to process the raw data, and quantitative insight into the trend of the resonant frequencies, peak heights, and transmittances of antiferromagnetic resonance and ferromagnetic resonance with temperature is obtained.

中文翻译：

基于Bézier曲线和B样条的ErFeO3中的热可调和厚度相关的太赫兹信号的数字降噪

太赫兹（THz）光谱范围为实验收集电磁脉冲以分析物质的固有共振提供了平台，并且已成为将固有响应应用于未来信息设备的重要领域。然而，在太赫兹频谱范围的知识中缺乏用于信号去噪的数值方法。在本文中，提出了利用贝塞尔曲线及其泛化（B样条）去噪热可调和与厚度相关的太赫兹信号的数值方法。选择并制备不同厚度的ErFeO ₃。贝塞尔曲线和B样条曲线都具有对信号进行去噪的能力，贝塞尔曲线对噪声的影响接近但略小于噪声的影响。B样条曲线。此外，与Bézier曲线相比，B样条显示出更好的降噪效果，并具有更好的信号强度稳定性和鲁棒性。因此，将B样条应用于原始数据处理，并获得对共振频率，峰高以及反铁磁共振和铁磁共振随温度的透射率趋势的定量了解。

更新日期：2021-02-10

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