Piezomagnetic field associated with the Mogi model revisited: analytic solution for finite spherical source

Abstract

The piezomagnetic field associated with the Mogi model was reexamined for the point source and the finite spherical source problems. In the point source case the question was how to deal with divergent stresses near the pressure source. The solution (type I) was simply the sum of the two contributions as calculated by the Fourier transform method. An alternative calculation (type II) integrates the whole magnetized area except for an infinitesimally small sphere involving the pressure source. These two procedures gave different results. In order to identify the cause of the discrepancy, the finite source problem was further investigated. It can be evaluated numerically with the aid of the double exponential formula (DEF). -from Author