Abstract:
Fractional curl operator has been utilized to derive the fractional dual solutions for
different planar boundaries. Perfect electric conductor (PEC), impedance, and perfect
electromagnetic conductor (PEMC) planar boundaries have been investigated and the
behavior of fractional dual solutions is studied with respect to the fractional parameter.
The knowledge of fractional dual solutions has been extended by studying the fractional
parallel plate waveguides, fractional transmission lines and the fractional rectangular
waveguides. Fractional parallel plate waveguides with PEC, impedance, and PEMC
walls as original problems have been studied for the field distribution inside the guide
region and transverse impedance of the guide walls. The investigations have also been
given for the fractional parallel plate chiro waveguides. Fractional transmission lines
of symmetric and non-symmetric nature have been analyzed for their intermediate
behavior and the impedance matching condition has been derived in terms of the
fractional parameter. The fractional rectangular impedance waveguide has also been
investigated. The fractional dual solutions and impedance have been compared with
the reference results which have been found in good agreement for limiting values of
the fractional parameter.
