Zero-radius potential model for a planar waveguide in a photonic crystal

A zero-radius potential model is proposed to describe a waveguide in a planar crystal. Two-dimensional and three-dimensional cases are considered. Layers, waveguides, and coupled waveguides are described. Explicit model dispersion equations are derived and the spectral properties are described. Pis’ma Zh. Tekh. Fiz. 25, 45–49 (August 26, 1999)