Fractional dual parabolic cylindrical reflector

Geometrical optics (GO) fields of a fractional dual parabolic cylindrical reflector have been studied around the focusing region using Maslovpsilas method. GO fields contain both co- and cross-polarized components. Considering perfect electric conductor as original case, magnitudes of the GO fields do not depend upon the fractional parameter. For impedance boundary reflector as original case, the field components depend upon the fractional parameter. Dependence of co-polarized and cross-polarized field components in different ranges of surface impedance has been studied.