GREEN'S FUNCTIONS FOR THE ANALYSIS OF ONE‐DIMENSIONAL SOURCE‐EXCITED WAVE PROBLEMS

This chapter aims to develop the construction of solutions to spatially one‐dimensional (1‐D), time‐harmonic, source‐excited electromagnetic (EM) wave problems via the method of Green's functions. Such 1‐D Green's functions can be employed to analyze the propagation of voltage and current waves on single, as well as a set of coupled transmission lines. The chapter provides the formulation of the solution to the Sturm‐Liouville problem via the 1‐D Green's function approach. It presents the examples of Fourier‐like series and integral transform pairs that can be developed from a Green's function pertaining to a self‐adjoint Sturm‐Liouville operator. The chapter also presents the example for a nonself‐adjoint situation for the sake of completeness.