Using prolate spheroidal magnetization distributions for magnetic modeling

Coefficients for the prolate spheroidal solution of Laplace’s equation are derived in terms of a line of magnetization extending between the focal points of a spheroid. The present paper applies Havelock’s formula to obtain the magnetization corresponding to terms of a prolate spheroidal inverse model. Knowledge of the relationship of the prolate spheroidal coefficients to the equivalent magnetization distribution is required when mathematically modeling distinctly nonspherical static magnetic sources in the near field.