| dc.description.abstract | This dissertation aims at developing a new time-domain Propagator numerical method for full-wave electromagnetic wave propagation and scattering. An analytical and numerical solution of the full-wave time-domain Propagator method for electromagnetic fields is presented. A propagator is a subclass of Green’s function that, when integrated against the present time field throughout a volume of space, produces the field at a pre-determined later time. A primary advantage of the Propagator method is that all electromagnetic field components are calculated at each numerical grid point and all components are in time synchronization. The numerical expressions, provided in one-, two-, and three-dimensions, are obtained by discretizing electric and magnetic field propagator integrals. The Propagator method discussed includes: (1) an extrapolation procedure in time, necessary to maintain constant spatial and time increments throughout an inhomogeneous numerical space, (2) boundary conditions, (3) a simple and effective first order absorbing boundary condition (ABC), described as the null boundary condition, (4) numerical dispersion relations and stability conditions providing the complete stable numerical equations, and (5) the total-field scattered-field formulation.
Examples include plane wave reflection from and transmission through a planar boundary, and scattering and radar cross sections for multiple canonical dielectric objects. The proposed method shows good agreement with exact solutions and the results computed by other numerical methods including the Finite-Difference Time-Domain (FDTD) and Method of Moment (MoM). | en |
