Abstract
Inside a chiral nihility slab which is backed by perfect electromagnetic conductor, all valid fractional dual solutions are determined using the fractional curl operator. Fractional dual solutions may be regarded as intermediate step between the original and dual to the original solution. Corresponding fields outside the nihility slab for each case are also determined and analyzed. It is noted that only for one out of three cases the corresponding field outside chiral nihility slab is also fractional dual, while for other two cases, corresponding fields are not fractional dual. It is noted that time average power density vanishes inside the PEC‐backed chiral nihility slab, while it exists outside the nihility slab.
Highlights
Chiral nihility is a special kind of chiral medium, for which the real part of permittivity and permeability are simultaneously zero or refractive index become zero at certain frequency known as nihility frequency
Phenomena of negative refraction occurs when a plane wave enters from vacuum to chiral nihility medium
We have determined all valid fractional dual solutions inside a chiral nihility slab which is backed by PEMC surface, using the fractional curl operator
Summary
Chiral nihility is a special kind of chiral medium, for which the real part of permittivity and permeability are simultaneously zero or refractive index become zero at certain frequency known as nihility frequency. Set of solutions which may be discerned as dual solutions to the original solution E, ηH is { ηH, −E , −ηH, E , −E, −ηH }, as discussed by Naqvi 11 This means that simultaneous rotation of both electric and magnetic fields in clockwise or counterclockwise direction by amount of integer multiple of π/2 is allowed to get the dual solution. We have determined all valid fractional dual solutions inside a chiral nihility slab which is backed by PEMC surface, using the fractional curl operator. Fractional dual solutions inside the PEMC-backed chiral nihility slab and corresponding fields for region outside the slab are determined and analyzed. Only one solution/problem known as dual can be treated if original solution is known, whereas chirality nihility provides opportunity to address more than one such situations. Present study incorporates all possible three possible dual solutions combinations of original and dual to original solutions
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