Fields in Fractional Parallel Plate Db Waveguides

Abstract

Abstract-Time harmonic electric and magnetic fields inside a parallel plate DB boundary waveguide are derived and fractional curl operator is utilized to study the fractional parallel plate DB waveguides.The DB boundary conditions are incorporated by assuming the behavior of boundary as perfect electric conductor (PEC) for transverse electric mode and perfect magnetic conductor (PMC) for transverse magnetic mode. For this purpose a general wave propagating inside the parallel plate wave waveguide is assumed and decomposed into TE and TM modes. Behavior of the fields and transverse impedances of the walls of guide are studied with respect to the fractional parameter describing the order of the fractional curl operator. The results are compared with the corresponding results for fractional waveguides with PEC walls.

Fields in fractional dual DB waveguides containing chiral nihility metamaterials

“…Moreover, the intensities of electric and magnetic fields inside the three-layered parallel plate waveguide are identical for ða ¼ 0; 1Þ but different for the intermediate values, i.e. 0\a\1, which is in agreement with the work by Hussain et al [22], where they showed that electric field distribution in the fractional DB waveguides was similar to that of magnetic field distribution for limiting integer values of the fractional parameter (a ¼ 0; 1), while it was different for the intermediate values, i.e. 0\a\1.…”

“…Field intensity plots for different frequencies are obtained. We present 3D plots of field intensity here, instead of 2D contour plots given by [22], in a related work. The values of parameters are set as d 1 = 0.1 m, d 2 = 0.15 m, and j ¼ 2:5 for chiral nihility waveguide.…”

“…Fractional dual fields for the waveguide may be obtained as solution of the following equations [22]:…”

Fields in fractional dual DB', D'B and D'B' waveguides containing chiral nihility medium

“…Fields reflected from each of the three slabs show similar behaviour. Then we extend this work on the layered fractional dual waveguides [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54]. A wave of general polarization propagating through a parallel plate waveguide is taken, as it is a sum of transverse electric (TE) modes and transverse magnetic (TM) modes.…”

Fields in Fractional Parallel Plate D'b', Db' and d'B Waveguides

“…Moreover, when field is reflected from top and bottom of chiral nihility coated DB interface, it keeps on rotating its plane of polarization and it appears as a circularly polarized field inside the core of the waveguide [68,69]. Fractional dual solutions to the Maxwell equations for fields inside a parallel plate DB waveguide have been discussed by Hussain et al [70].…”