  A comprehensive analysis of guided modes of a novel type of a planar Bragg
reflection waveguide which consists of a low refractive index guiding layer
sandwiched between two finite aperiodic mirrors is presented. The layers in the
mirrors are aperiodically arranged according to the Kolakoski substitution
rule. In such a waveguide light is confined inside the core by Bragg reflection
from the mirrors, while dispersion characteristics of guided modes strongly
depend on aperiodicity of the cladding. Using the transfer matrix formalism
bandgap conditions, dispersion characteristics and mode profiles of the guided
modes of such Bragg reflection waveguide are studied.
