The scalar wave equation and its solution in cartesian, cylindrical and spherical coordinates. Electromagnetic field representations in terms of electric and magnetic vector potentials, Hertz potentials, and scalar potentials. General theory of waveguides and cavities. Partially filled orthogonal waveguides and cavities, microslot/microstrip lines and antennas, transverse resonance method. Generalized cylindrical and spherical structures. Scattering theory, scattering from cylinders, spheres and bodies with edges. Solution of the vector Helmholtz equation with applications in propagation, scattering and resonance problems. Green’s functions for Laplace and Helmholtz equations with Dirichlet, Neumann and mixed boundary conditions. Dyadic Green’s functions for the electric and the magnetic field. Numerical methods.