Fields in fractional dual DB waveguides containing chiral nihility metamaterials

Abstract

A fractional curl operator is used to derive fields for guided waves in a three-layered fractional dual planar waveguide with DB boundary, i.e. the normal components of electric flux density D and magnetic flux density B become zero at the interface. The middle layer of the waveguide is filled with air and the other two layers are filled by chiral nihility metamaterial. For the purpose of solution, a general wave propagating inside the waveguide is assumed and decomposed into transverse electric and transverse magnetic modes. It is noted that fields do exist in chiral nihility material backed by DB. Moreover, it is noted that only co-polarized wave is reflected back from DB interface of the waveguide. In the core of DB waveguide, filled with air, we get circular wave behavior of fields.