학술논문

Uncertainty Propagation in Quantitative Magnetic Force Microscopy Using a Monte-Carlo Method
Document Type
Periodical
Source
IEEE Transactions on Magnetics IEEE Trans. Magn. Magnetics, IEEE Transactions on. 58(5):1-8 May, 2022
Subject
Fields, Waves and Electromagnetics
Uncertainty
Calibration
Measurement uncertainty
Mathematical models
Phase measurement
Magnetic multilayers
Magnetic resonance imaging
magnetic force microscopy (MFM)
Monte Carlo (MC) methods
uncertainty
Language
ISSN
0018-9464
1941-0069
Abstract
A Monte-Carlo (MC)-type method is utilized for the propagation of uncertainties in quantitative magnetic force microscopy (qMFM). In qMFM, quantitative magnetic field distributions are inferred from magnetic force microscopy (MFM) raw data using a calibration of the instrument point spread function and a subsequent inversion process. The two stages of calibration and measurement may be subject to a variety of uncertainties that naturally arise in practice. Identifying these sources of uncertainties and quantifying their impact on the reconstruction of the measurand is crucial for reliable quantitative studies of nanomagnetic materials and devices. So far, the propagation of variance method has been applied to determine the uncertainty budget for a complete calibration and measurement process. In this work, we are able to improve the uncertainty description in terms of structure and magnitude by application of an MC method. We demonstrate the importance of correlations and show possible side effects of model linearizations.