GILD EM Modeling In Geophysics And Nanometer Materials Using A Magnetic Field Integral Equation

Abstract

In this paper, we present a Global Integral and Local Differential Equation (GILD) method for the magnetic field propagation in nanometer materials. A new 3D boundary integral equation for the magnetic field is proposed. We prove the equivalence between the new magnetic integral equation and the Galerkin equation for the magnetic field. We calculate the electromagnetic (EM) field in a nonlinear dielectric nanometer material. Simulations show that the GILD magnetic field modelling method in nanometer materials is accurate and fast. When extremely high frequency EM fields (Gamma ray) propagate through and interact with nanometer materials, we observe that there are EM numerical quanta in the GILD solution of EM scattering radiation field. The GILD magnetic field modelling is useful for EM engineering, geophysics and material sciences, and for investigating the physical and chemical properties and production in nanometer materials. The magnetic integral equation can be used to calculate the EM field in super conducting media.