Full-vectorial cardinal-type approximation method for optical waveguide analysis

In this paper, a novel numerical method based on the sinc-collocation method is proposed for waveguide analysis. The modal characteristics waveguides are studied using a full-vectorial formulation. The scheme is formulated in terms of the transverse magnetic components. The field components are expanded using a set of products of one-dimentional sinc basis functions in both x- and y-direction. The bases are defined on the entire real line. Hence, the method overcomes the problem of unphysical field reflections at interfaces.