Special functions applied in Earth's sciences and geoengineering are confronted with the
complexity of a real “potato-like” Earth geometry, that is a striking obstacle particularly for all …

Scanning magnetic microscopes are being increasingly utilized in paleomagnetic studies of
geological samples. These instruments typically map a single component of the sample's …

Useful paleomagnetic information is expected to be recorded by samples with moments up
to three orders of magnitude below the detection limit of standard superconducting rock …

Magnetic fields in the solar nebula may have played a central role in mass and angular
momentum transport in the protosolar disk and facilitated the accretion of the first …

Various techniques have been proposed for palaeopole position estimation based on
magnetic field measurements. Such estimates can offer insights into the rotational dynamics …

It is known from the potential theory that a continuous and planar layer of dipoles can exactly
reproduce the total-field anomaly produced by arbitrary 3D sources. We have proven the …

Recovering spherical magnetizations m from magnetic field data in the exterior is a highly
non-unique problem. A spherical Hardy–Hodge decomposition supplies information on what …

Recent advances in magnetic microscopy have enabled studies of geological samples
whose weak and spatially nonuniform magnetizations were previously inaccessible to …

Scanning magnetometers are increasingly used to characterize the magnetization of mineral
grains in rock samples. Up-scaling this measurement technique to large numbers of …

We study inverse problems for the Poisson equation with source term the divergence of an
R^ 3 R 3-valued measure, that is, the potential\varPhi Φ satisfies Δ\varPhi= ∇ ⋅ μ, Δ Φ=∇ …