Investigating the Goos-Hänchen shift for a fractional dual planar interface

Purpose of the paper is to determine the Goos-Hanchen (GH) shift for fractional dual fields related to a planar interface. The fractional dual fields are considered as intermediate step between the two given fields; which are connected through the curl operator. In our discussion, TE and TM fields are the two given fields. By fractionalizing the curl operator, one can get the fractional dual fields. It is investigated how variation of order of the curl operator varies amplitude, phase and GH-shift for the fractional dual fields.