A general method for computing thermal magnetic noise arising from thin conducting objects

Joonas Iivanainen*, Antti J. Mäkinen, Rasmus Zetter, Koos C.J. Zevenhoven, Risto J. Ilmoniemi, Lauri Parkkonen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

Thermal motion of charge carriers in a conducting object causes magnetic field noise that may interfere with sensitive measurements near the object. In this paper, we describe a method to compute the spectral properties of the thermal magnetic noise from arbitrarily shaped thin conducting objects. The method is based on modeling divergence-free currents on a conducting surface using a stream function and calculating the magnetically independent noise-current modes. By doing this, we obtain the power spectral density of the thermal magnetic noise as well as its spatial correlations and frequency dependence. We also describe a numerical implementation of the method and verify it against analytic formulas. We provide the implementation as a part of the free and open-source software package bfieldtools.

Original languageEnglish
Article number043901
Number of pages10
JournalJournal of Applied Physics
Volume130
Issue number4
DOIs
Publication statusPublished - 28 Jul 2021
MoE publication typeA1 Journal article-refereed

Funding

This work has received funding from the European Union’s Horizon 2020 research and innovation programme under Grant Agreements No. 820393 (macQsimal) and No. 852111 (MAX-BAS) as well as from the European Research Council under ERC Grant Agreement No. 678578 (HRMEG). The content is solely the responsibility of the authors and does not necessarily represent the official views of the funding organizations. The authors declare no conflicts of interest.

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