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Title: A practical approach to calculating magnetic Johnson noise for precision measurements

Journal Article · · Journal of Applied Physics
DOI: https://doi.org/10.1063/5.0228845 · OSTI ID:2475579

Magnetic Johnson noise is an important consideration for many applications involving precision magnetometry, and its significance will only increase in the future with improvements in measurement sensitivity. The fluctuation–dissipation theorem can be utilized to derive analytic expressions for magnetic Johnson noise in certain situations, but when used in conjunction with finite element analysis tools, the combined approach is particularly powerful as it provides a practical means to calculate the magnetic Johnson noise arising from conductors of arbitrary geometry and permeability. In this paper, we demonstrate this method to be one of the most comprehensive approaches presently available to calculate thermal magnetic noise. In particular, its applicability is shown to not be limited to cases where the noise is evaluated at a point in space but also can be expanded to include cases where the magnetic field detector has a more general shape, such as a finite-size loop, a gradiometer, or a detector that consists of a polarized atomic species trapped in a volume. Furthermore, some physics insights gained through studies made using this method are discussed.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2475579
Report Number(s):
LA-UR--24-27277
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 12 Vol. 136; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (31)

Loss and heating of particles in small and noisy traps journal December 1999
Thermal magnetic noise of Dewars for biomagnetic measurements journal January 1993
Liquid helium cryostat for SQUID-based MRI receivers journal May 2005
Surface processing and discharge-conditioning of high voltage electrodes for the Ra EDM experiment
  • Ready, Roy A.; Arrowsmith-Kron, Gordon; Bailey, Kevin G.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 1014 https://doi.org/10.1016/j.nima.2021.165738
journal October 2021
Investigation of the eddy-current anomaly in electrical sheet steels journal February 1948
Thermal noise in biomagnetic measurements journal June 1996
Calculation of the Energy Loss in Magnetic Sheet Materials Using a Domain Model journal March 1958
Calculation of magnetic field noise from high-permeability magnetic shields and conducting objects with simple geometry journal April 2008
SQUID instruments and shielding for low‐level magnetic measurements journal February 1977
Magnetic field fluctuations arising from thermal motion of electric charge in conductors journal June 1984
Thermal fluctuations of the magnetic field over a thin conducting plate journal January 1998
Low magnetic Johnson noise electric field plates for precision measurement journal November 2016
Magnetocardiography with a 16-channel fiber-coupled single-cell Rb optically pumped magnetometer journal April 2019
Magnetic field modeling with surface currents. Part II. Implementation and usage of bfieldtools journal August 2020
Magnetic-field modeling with surface currents. Part I. Physical and computational principles of bfieldtools journal August 2020
A general method for computing thermal magnetic noise arising from thin conducting objects journal July 2021
The fluctuation-dissipation theorem journal January 1966
Ultra-low-noise EEG/MEG systems enable bimodal non-invasive detection of spike-like human somatosensory evoked responses at 1 kHz journal January 2015
A new cryogenic apparatus to search for the neutron electric dipole moment journal November 2019
Thermal Agitation of Electric Charge in Conductors journal July 1928
Thermal Agitation of Electricity in Conductors journal July 1928
Studies of the Propagation Velocity of a Ferromagnetic Domain Boundary journal December 1950
Irreversibility and Generalized Noise journal July 1951
Johnson-Nyquist noise effects in neutron electric-dipole-moment experiments journal June 2021
Feeble magnetic fields generated by thermal charge fluctuations in extended metallic conductors: Implications for electric-dipole moment experiments journal August 1999
Magnetic Johnson noise constraints on electron electric dipole moment experiments journal July 2005
Performance of the upgraded ultracold neutron source at Los Alamos National Laboratory and its implication for a possible neutron electric dipole moment experiment journal January 2018
The classical and quantum theory of thermal magnetic noise, with applications in spintronics and quantum microscopy journal May 2003
Noise Modeling From Conductive Shields Using Kirchhoff Equations journal June 2011
Johnson noise from normal metal near a superconducting SQUID gradiometer circuit journal March 1987
Magnetostatic field noise near metallic surfaces journal July 2005