A general method for computing thermal magnetic noise arising from thin conducting objects
Abstract
Thermal motion of charge carriers in a conducting object causes magnetic field noise that interferes with sensitive measurements nearby the conductor. In this paper, we describe a method to compute the spectral properties of the thermal magnetic noise from arbitrarily-shaped thin conducting objects. We model divergence-free currents on a conducting surface using a stream function and calculate the magnetically independent noise-current modes in the quasi-static regime. We obtain the power spectral density of the thermal magnetic noise as well as its spatial correlations and frequency dependence. We describe a numerical implementation of the method; we model the conducting surface using a triangle mesh and discretize the stream function. The numerical magnetic noise computation agrees with analytical formulas. We provide the implementation as a part of the free and open-source software package bfieldtools.
Cite
@article{arxiv.2007.08963,
title = {A general method for computing thermal magnetic noise arising from thin conducting objects},
author = {Joonas Iivanainen and Antti J. Mäkinen and Rasmus Zetter and Koos C. J. Zevenhoven and Risto J. Ilmoniemi and Lauri Parkkonen},
journal= {arXiv preprint arXiv:2007.08963},
year = {2024}
}