Modeling Highly Permeable and Conductive Ellipsoidal Clutter for the Detection of UXO in the Electromagnetic Induction Regime

The modeling of unexploded ordnances in the electromagnetic induction regime (from tens of hertz to a few kilohertz) is carried out in the ellipsoidal coordinate system, thus presenting an important generalization of the existing dipole model or spheroidal approach. Ellipsoidal geometries are of interest because of their ability to more accurately model real 3D objects while retaining the appeal of an analytical solution. Computation speed is minimized here by assuming objects of high permeability and conductivity, allowing for the use of the small penetration approximation, and avoiding the necessity of solving the wave equation using ellipsoidal wave functions inside the object. Simulations are compared with both existing numerical solutions and with measured data on fabricated ellipsoids, and prove the validity of our model.