Dispersion equation for groove nonradiative dielectric waveguide

Abstract

A rigorous expression of the dispersion equation for a groove nonradiative dielectric (GNRD) waveguide is obtained from the Fourier transform and mode-matching. The image theorem is utilised to transform a GNRD waveguide into an infinite number of GNRD waveguides, thereby representing the dispersion equation in a fast-convergent, numerically efficient series.