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Abstract
Gyroelectric and gyromagnetic media have tensorial gyrotropic dielectric permittivity ε and magnetic permeability μ and thus are generally treated separately. In order to unify their descriptions and to determine the mode propagation in a generalized medium, the solution of the equations of the electromagnetic field in gyroelectromagnetic media is derived. The coefficients of the coupled equations governing the axial components of the electric and magnetic fields in gyroelectromagnetic conditions are found, displaying symmetry by exchanging the elements of the permeability and permittivity tensors. A novel choice to impose the independence of the solutions of each axial coupled equation avoiding the divergences present in the non-gyrotropic limit with the original choice is proposed. The characteristic equation of modes supported by a round gyroelectromagnetic core/isotropic cladding guiding system is derived, some numerical tests are also reported to show the agreement and the consistency of the results discussed in this work. The application to ferromagnetic semiconductors is finally suggested.