Transformation method for problems involving perfect electromagnetic conductor (PEMC) structures

Perfect electric conductor (PEC) and perfect magnetic conductor (PMC) can be generalized to perfect electromagnetic conductor (PEMC), a medium where certain linear combinations of electromagnetic fields are required to vanish. In differential-form representation, the corresponding medium is characterized as the simplest possible medium. It is defined through a scalar admittance parameter, whose zero and infinite limits yield the PMC and PEC media, respectively. In this paper a duality transformation is found that has the property of transforming PEMC to PEC and an isotropic medium to itself. Thus, problems involving PEMC objects in air can be transformed to problems with PEC objects in air which can be solved through traditional techniques and then transformed back. Several simple examples are treated to demonstrate the principle. PEMC has the potential of having similar applications as PMC in antenna engineering and finding structures for its realization is a challenge.