A technique for three-dimensional dosimetry and scattering computation of vector electromagnetic fields

A dosimetry and scattering matrix formulation for the computation of vector electromagnetic fields (VEMFs) inside and outside arbitrary 3-D dielectric objects is presented. It is based on a moment method extended to vector fields. The integral equations for the VEMFs are first converted to matrix equations, and then the Green's function within each digitized cell is derived analytically by integrating over the cell. The matrix formulation provides a fast and accurate method for dosimetry and near- or far-field computation anywhere inside or outside a 3-D object with any distribution of dielectric permittivity and electric conductivity, both of which may be complex numbers, and for any form of incident field. Comparison with the Mie formula for uniform dielectric spheres shows that the matrix method yields an accuracy of about 99.9% for a sphere discretized to 179 cells.<
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