Abstract: In electromagnetics, a set of boundary conditions requiring
vanishing of the normal components of the flux densities D and B (DB boundary)
or their normal derivatives (D'B' boundary) have assumed great importance,
recently. In the present study, we employ D'B', DB' and D'B boundary conditions
to investigate the fields in a three layered fractional dual planar waveguide.
Middle layer of the waveguide is filled with air and other two layers are
filled with chiral nihility metamaterial. Fractional dual solutions for the
waveguide are obtained using a fractional curl operator with a parameter
'α' defining the fractional order of the operator. For limiting values of
the parameter, i.e., α =0 and α =1, the solutions to the Maxwell's
equations correspond to the original and dual to the original solutions,
respectively. Whereas, in general ( 0<α<1), so called intermediate
solutions are obtained. It has been noted that fields do exist in chiral
nihility material backed by D'B', DB' or D'B boundary, and a circular wave
behaviour of the fields is observed in the core of the waveguide. In this sense
DB', D'B and D'B' chiral nihility waveguides behave identical to their DB
counterpart.
