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Main Authors: Iivanainen, Joonas, Mäkinen, Antti J., Zetter, Rasmus, Zevenhoven, Koos C. J., Ilmoniemi, Risto J., Parkkonen, Lauri
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2007.08963
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author Iivanainen, Joonas
Mäkinen, Antti J.
Zetter, Rasmus
Zevenhoven, Koos C. J.
Ilmoniemi, Risto J.
Parkkonen, Lauri
author_facet Iivanainen, Joonas
Mäkinen, Antti J.
Zetter, Rasmus
Zevenhoven, Koos C. J.
Ilmoniemi, Risto J.
Parkkonen, Lauri
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2007_08963
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle A general method for computing thermal magnetic noise arising from thin conducting objects
Iivanainen, Joonas
Mäkinen, Antti J.
Zetter, Rasmus
Zevenhoven, Koos C. J.
Ilmoniemi, Risto J.
Parkkonen, Lauri
Computational Physics
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.
title A general method for computing thermal magnetic noise arising from thin conducting objects
topic Computational Physics
url https://arxiv.org/abs/2007.08963