Studies of weak magnetic fields are generally influenced by magnetic n
oise emanating from thermal agitation of electric charge (Johnson nois
e) in electrically conducting materials surrounding the magnetic-field
sensor. In this article, the thermal magnetic noise fields generated
by slabs with high electric conductivity (copper, aluminum) or high ma
gnetic permeability (mu metal) are studied. The analysis is based both
on a previously published phenomenological model and on measurements
with an ultrasensitive superconducting magnetometer. Both the spectral
densities and spatial correlations of the magnetic field fluctuations
are evaluated. The computed correlation coefficients are utilized to
develop a practical method for estimating the thermal noise due to thi
n conducting foils, such as thermal radiation shields in a cryogenic m
easurement Dewar. Also experiments to reduce the Dewar noise are repor
ted. Finally, estimations are presented for the thermal noise fields a
rising in the walls of a magnetically shielded room. In practice, ther
mal magnetic noise, particularly due to the superinsulation in cryogen
ic Dewars, can be the limiting factor of sensitivity in measurements o
f weak biomagnetic signals arising in the human heart and brain. The r
esults are useful in the estimation and minimization of the contributi
on of thermal noise. (C) 1996 American Institute of Physics.