Error estimates in the measurement of anisotropic magnetic susceptibility

Abstract

Hext's (1963) first-order analysis for error estimation in measurements of second-rank tensors is applied to the torque meter and the orthogonal-coil induction instrument, both representatives of the class of instruments that measures differences in magnetic susceptibility. The conventional measurement design for the torque meter is rotatable; an efficient and nearly rotatable design is proposed for the orthogonal-coil instrument. Error estimates are derived for a set of anisotropy parameters, K(mean), H and μ. The applicability of a first-order analysis is discussed and illustrated by simulation studies.