Daydic Green's function for planar soft and hard surface

The tuned corrugated surfaces and other corresponding structures can be labeled as soft and hard surface through an analogy acoustics and the concept has proven useful to many problems in electromagnetic theory. By use of the spectral-domain approach, the Weyl's identity and the technique of exponential-integral function, a simple and accurate closed-form expression is derived for dyadic Green's function of planar artificially soft and hard surface. The Green's function is expressed as the sum of three parts: primary field, image field reflected by a perfect electric conductor boundary and field created by a transmission-line current source. In addition, the expressions of related surface waves and the related power are derived and compared to the previous. The obtained result can serve as the foundation for the related practical electromagnetic problems in the presence of a soft and hard surface.