Propagation of electromagnetic waves guided by perfectly conducting model of a tape helix supported by dielectric rods


The homogeneous boundary worth drawback existing in the electromagnetic wave propagation in an exceedingly dielectric-loaded perfectly conducting tape helix with infinitesimal tape thickness is investigated in this study. The unwell-posed boundary price problem is regularised using the mollification technique. The homogeneous boundary price downside is solved for the dielectric loaded perfectly conducting tape helix taking into account the precise boundary conditions for the peerlessly conducting dielectric loaded tape helix. The solved approximate dispersion equation takes the form of the solvability condition for an infinite system of linear homogeneous equations particularly, the determinant of the infinite order coefficient matrix is zero. For the numerical computation of the dispersion equation, all the entries of the symmetrically truncated version of the coefficient matrix are estimated by summing an adequate variety of the rapidly converging series for them. The tape-current distribution is estimated from the null-space vector of the truncated coefficient matrix reminiscent of a specified root of the dispersion equation. The numerical results counsel that the propagation characteristic computed by the anisotropically conducting model (that neglects the component of the tape-current density perpendicular to the winding direction) is only an abstinent approximation to consider for moderately wide tapes.

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