Modal dispersion characteristics of a single mode dielectric optical waveguide with a guiding region cross-section bounded by two involuted spirals

Abstract

With the use of scalar field approximation we make an analytical study of a dielectric waveguide whose core cross-section is bounded by two spirals of the form 1/r= ξθ. This waveguide is similar to that of a distorted slab waveguide in which both a curvature and a flare are present. We derived the modal characteristic equation by analytical analysis under the weak guidance approximation. We find the modal dispersion curve, which support only single mode propagation and the same compared with the same kind of waveguide with metal claddings.