A Study on Excitation of the Trapped-Surface Wave Over a Thick Dielectric-Coated Planar Conductor

The evaluation of the Sommerfeld integrals (SIs) has been considered by the quasi-analytical formulas simulating electromagnetic field propagating along the planar surface over a dielectric-coated conductor. The lateral wave and trapped surface wave are resulted from the branch-cut integration and contribution of pole-residue by complex integration, respectively. As a simple but efficient approach, we derive the complex determination equation for poles into a set of equations with real numbers. This technique would eradicate the redundancy roots arose from numerical root finding algorithm, and also provide with some help in extending previous studies into thick-dielectric-coating case.