Wave functions for multilayered media

One of the more efficient techniques for solving EM problems in the environment of stratified media was developed by Sommerfeld and consists in deriving the fields from some potential functions easily formulated in the spectral domain. With the increasing complexity of conductors geometry in applications for microwave and millimeter waves as well as in optical frequencies problems, the demand for fast and accurate evaluation of the fields in the space domain has become greater. We present two families of potential functions that, when used in inverse transforming the Green´s functions of the problem that are Sommerfeld integrals, exhibit a simple analytic expression and a precise physical meaning in the space domain. This way the resulting fields are split into a number of waves for which a mathematical expression allows fast and accurate computation and reveal the role of the physical and geometrical quantities on the EM phenomenon.