Radiation and Scattering
In this chapter we will review Maxwell’s Equations and the electromagnetic boundary conditions, derive the integral equations for radiation and scattering, and then derive the Green’s functions needed to solve those equations. We will next derive the electric and magnetic vector potential and expressions for the radiated electric and magnetic near and far fields. We will then consider the solution of radiation problems by way of the equivalence principle, and derive coupled surface integral equations that can be used to treat multi-region conducting, dielectric, and hybrid conducting/dielectric geometries. We will then discretize these equations in a general sense via the Method of Moments, which will be applied to more specific two-and three-dimensional problems of increasing complexity in later chapters.