This course is an introduction to computational methods for the solution of operator problems in microwave, millimeter-wave and optical engineering. It presents a unified, field-theoretical approach to the derivation of numerical techniques, based on the application of the Method of Moments for the discretization of Maxwell’s equations.

Emphasis is given in the Finite Difference Time Domain method, by providing a thorough study of such concepts as order of accuracy, stability, dispersion, convergence and error propagation. Theoretical derivation and practical implementation of source, material and absorbing boundary conditions is pursued. Higher order, multi-step, ADI and operator splitting methods are explained. Applications to wave propagation (including propagation in complex media and shock waves), antenna and circuit modeling are presented.