GREEN'S FUNCTIONS FOR THE ANALYSIS OF TWO‐ AND THREE‐DIMENSIONAL SOURCE‐EXCITED SCALAR AND EM VECTOR WAVE PROBLEMS

The three‐dimensional (3‐D) scalar Green's functions can be employed in the construction of dyadic Green's functions for solving fully 3‐D source‐excited separable electromagnetic (EM) vector wave problems. the EM dyadic Green's functions through the use of EM potentials which in turn are found via the appropriate scalar 3‐D Green's functions, is quite different from the procedure generally employed for constructing EM dyadic Green's functions for separable 3‐D geometries using the vector wave function expansions. The formulation for the solutions of 3‐D scalar wave problems for separable geometries is specifically based on the use of the Green's second identity in 3‐D; the latter identity is developed in Appendix G. The chapter discusses the development of the 2‐D circular cylinder Green's function for the perfect electrical conductor case, i.e., for the homogeneous Dirichlet or Neumann boundary conditions, is extended to treat an impedance cylinder surrounded by an isotropic medium.