VARIATIONAL METHOD FOR THE ANALYSIS OF LOSSLESS BI-ISOTROPIC (NONRECIPROCAL CHIRAL) WAVE-GUIDES

Equations are derived for the longitudinal fields of a propagating mode in the most general straight open waveguide structure made from the most general lossless linear material whose parameters are independent of its orientation. This material, also called bi-isotropic, has the important chiral medium as the reciprocal special case. Self-adjointness of the differential operator with respect to the hermitian inner product is confirmed. Applying the theory of nonstandard eigenvalue problems, a variational expression is derived for the solution of the waveguide problem. A procedure for its application is discussed.