Methods and apparatus for calculating electromagnetic scattering properties of a structure using a normal-vector field and for reconstruction of approximate structures

摘要

A projection operator framework is described to analyze the concept of localized normal-vector fields within field-material interactions in a spectral basis, in isotropic and anisotropic media. Generate a localized normal-vector field n in a region of the structure defined by the material boundary, decomposed into sub-regions with a predefined normal-vector field and possibly corresponding closed-form integrals. Construct a continuous vector field F using the normal-vector field to select continuous components E_T and D_n. Localized integration of normal-vector field n over the sub-regions to determine coefficients of, C. Determine components E_x, E_y, E_z of the electromagnetic field by using field-material interaction operator C to operate on vector field F. Calculate electromagnetic scattering properties of the structure using the determined components of the electromagnetic field.