Rapid computation of magnetic anomalies with demagnetization included, for arbitrarily shaped magnetic bodies

Abstract

Summary. The potential function ø for a magnetic body of susceptibility μ in a medium of susceptibility μ* satisfies the integral equation (Formula Presented.) Here Φ* is the potential function for the region without the heterogeneity and R is the distance from the point of observation to the point on the surface, s, of the body. δΦ/δn is the normal derivative, in the direction of the outward normal. The equation allows for the effects of demagnetization. For numerical purposes the surfaces can be divided into N facets over which δΦ/δn is a constant. The unknown quantities δΦ/δnj can be found from the system of equations defined by: (Formula Presented.) The prime on the summation sign denotes that the summation does not include the ith element. The magnetic field in the direction of the unit vector P(P1, P2, P3) is given by: (Formula Presented.) Copyright © 1980, Wiley Blackwell. All rights reserved