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Electromagnetic Fields in Meta-Media with Interfacial Surface Admittance

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We exploit Clemmow’s complex plane-wave representation of electromagnetic fields to construct globally exact solutions of Maxwell’s equations in a piecewise homogeneous dispersive conducting medium containing a plane interface that can sustain (possibly dissipative) field-induced surface electric currents. Families of solutions, parametrised by the complex rotation group SO(3, ℂ), are constructed from the roots of complex polynomials with coefficients determined by constitutive properties of the medium and a particular interface admittance tensor. Such solutions include coupled TE and TM-type surface polariton and Brewster modes and offer a means to analyse analytically their physical properties given the constitutive characteristics of bulk meta-materials containing fabricated meta-surface interfaces.