Numerically Denoising Thermally Tunable and Thickness-Dependent Terahertz Signals in ErFeO3 Based on Bezier Curves and B-Splines

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 Bezier 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 Bezier curves and B-splines have the ability to denoise the signals and the effect of the Bezier 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 Bezier 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.

Automated summary

This paper introduces a numerical method for denoising THz signals using Bezier curves and B-splines. The study shows that B-splines have better noise reduction effect and signal stability compared to Bezier curves.