ABSTRACT
In this chapter, Green functions using integral transforms are obtained. Spatial Fourier transforms are used to develop the Green functions. In rectangular coordinates: one- to three-dimensional integral representations of the Green functions are derived. In cylindrical coordinates: two- and three-dimensional integral representations of Green functions are obtained, and the use of the Hankel transform for the solution of the wave equation is shown. The same is done for Green function representations in spherical coordinates where the spherical Hankel transform is analyzed. Integral representations of the delta function are also given. The required radiation conditions that the fields must satisfied are derived for problems in rectangular, cylindrical, and spherical coordinates.
