Exact solutions of planar photonic crystal waveguides with infinite claddings

We present exact analytical solutions to the ideal one-dimensional planar photonic crystal waveguides (1-D PPCWs) that consist of a central core and infinite number of cladding layers symmetrically placed around the core. We show that these exact solutions allow one to distinguish clearly between light guidance due to total internal reflection and light guidance due to the photonic crystal effect. We also compare structures with finite and infinite cladding layers and provide results for the propagation characteristics and the modal field distributions.