Perfect Electric Conductor Boundary Research Articles

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.

Waveguide mode solution using a hybrid edge element approach

AbstractA hybrid edge element approach for the computation of waveguide modes is presented. The electric field is decomposed into its transverse and longitudinal components, which are modeled in terms of two‐dimensional edge elements and scalar nodal elements, respectively, thereby satisfying the Dirichlet boundary condition at the perfect electric conductor boundaries and dielectric interfaces. Failure to do so results in the generation of spurious modes. This approach allows for the modeling of a three‐dimensional field quantity over a two‐dimensional boundary, namely the waveguide cross section. Another approach, the method of moments, serves as an excellent means of verifying the results obtained through use of hybrid edge elements. A comparison of the results obtained from both techniques are presented, along with the associated field plots obtained from the hybrid edge element approach for several geometries.

Static image principle for anisotropic‐conducting half‐space problems: PEC and PMC boundaries

The image principle for an isotropic half‐space bounded by perfect electric conductor (PEC) or perfect magnetic conductor (PMC) plane is presented in most elementary textbooks on electromagnetics. It is perhaps not so well known that this principle can also be generalized to anisotropic media in the static case, because it is not covered in leading monographs of geoelectromagnetics (Wait, 1982; Negi and Saraf, 1989; Eskola, 1992). The anisotropic image method can be applied to geologic media that exhibit anisotropic electrical conductivity caused by the fractures and fissures in the rock. Such structures are important in the sites for disposal of nuclear waste. The characterization of these structures by electrical geophysical methods is very essential because they form the main paths for groundwater flow. The air‐ground boundary can be treated as a PMC plane representing the nonconducting medium. Otherwise the medium is assumed to be linear (ohmic) and homogeneous in terms of electrical conductivity. The image method presented is also relevant to problems arising in the traditional ore prospecting where a conducting ore body buried in an electrically anisotropic host rock generates secondary electric fields (Asten, 1974; Eloranta, 1988).