Generalized impedance boundary conditions are employed to simulate the effects of the parallel-stratified media on electromagnetic fields. Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series expansion of spherical Hankel functions.

A new approach used to formulate to mixed-path propagation of surface wave is presented based on two main ingredients: the decomposition of electromagnetic fields and the introduction of equivalent electric (magnetic) currents adopted for convenience. The present method can be extended to obtain the corresponding results for the arbitrary incident wave excitation.