Abstract

A unitary analytical approach making use of duality properties of Maxwell’s equations is developed for determining the propagation modes in slab and circular waveguides that comprise a gyrotropic material of dielectric or ferrite type, at which either the permittivity or the permeability tensor is altered by a longitudinally applied quasistatic magnetic field. Both types of electric and magnetic walls are considered. Closed form dimensionless relations are obtained for completely or partially filled and open-wall configurations, with the limit case of unmagnetized gyrotropic material being included. Examples are given for both the slab and the circular gyrotropic waveguides at arbitrary values of material parameters.

© 2010 Optical Society of America

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