An advanced technique for the multipole imaging of a magnetic source: discrete transforms in high-precision magnetic signature processing

Abstract

An extension of a magnetic moment theorem for all multipoles, presented here for the first time, leads to development of an orthonormal set of discrete selective functions, applied to an accurate multipole imaging of an object by analysis of its magnetic signature (MS). The computed solution generates this orthonormal set for different trace grids. An example set is tested numerically with a non-uniform normalised grid and its selective efficiency is proved.