Fractional solutions for non integer dimensional waveguide coated with chiral nihility metamaterial

Abstract

Solutions for fractional dual waveguides filled with fr actional space has been de rived and investigated in this dissertation. A three layered quasi-fractional space waveguide has been considered in this regard and by using fractional curl operator, fractional dual solutions have been determined. First, a free space slab placed in an unbounded dielectric-magnetic medium has been considered and with the help of fr actional curl operator, fr actional dual solutions to the Maxwell equations have been derived. These fractional dual fie lds give the most general form of the solution t.o the Maxwell equations for parallel plate waveguide. The field configurations fo r various values of the fractional parameter and the intrinsic impedance of the host medium are presented. For extreme values of the intrinsic impedance of the host mediunl. geometry becomes equivalent to that of a PEC/PMC waveguide. Then the fractional dual solut ions to the Maxwell equations for parallel plate DB waveguides have been derived m;ing fractional curl operator. Treatment is furt her extended to find fr actional dual solutions for parallel plate DB waveguide which is coated internally with chiral nihility metamaterial are analysed. Fields in the core of DB waveg lides exhi bit circll lar polarization due to rotation induced by DB chiral nihility slabs from the to p Clnd bottom layers of the waveguides. Fractional dual solutions for quasi fractional space waveguide are obtained at t he end. Distribution of electromagnetic power inside a quasi-fractional waveguide coated with chiral nihility metamaterial has been present.ed. Chiral nihilit.y coat.ing plays t. he role of confining power to the non-nihility region inside t he waveguide, and it. shows no interaction with the fr actional dimension of the waveguide. Also fra.ctiollalit.y of the dimension causes the presence of a.dditional waveguide t1lodes, which move away from t he center while increa.sing in power with a decrease in fractional dimension. Or conversely stating, the fraction al waveguide modes come close and collapse, i.e, power concentrates, as the value of parameter D, descriuillg dimension of fr actional spa.ce , - vi incre&:ies from D = 1.1 to D = 2. Therefore, chiral nihility coating and fr actionality of the waveguide dimension can be used to control the power dist.ribution inside a fractional waveguide.