Transmission properties of a Cantor corrugated waveguide

Abstract

The spectral transmission properties of a self-similar corrugated optical waveguide are studied theoretically. The structure can be realized by square-wave modulation of the guiding layer thickness of a planar waveguide such that the thickest layers belong to a triadic Cantor set. The transmission spectrum exhibits localized peaks inside forbidden frequency band gaps. This feature could be useful in the design of novel filters. Moreover, the self-similarity of the structure is reflected in the weak self-similarity of the transmission spectrum.