Tight-Binding Theory for Coupling Asymmetric Photonic Crystal Waveguides

Tight-Binding Theory for Coupling Asymmetric Photonic Crystal Waveguides

The physical properties of asymmetric photonic-crystal directional couplers are studied under the tight-binding model, which asumes that the field distribution of photonic-crystal waveguides is localized around periodic defects. The couplings of nearby defects betwen two asymmetric waveguides cause two dispersion relations to split further whereas the couplings of nearby defects within an individual waveguide cause the sinusoidal modulations of the dispersion curves. The field-envelope distributions of the coupler are expresed by using the eigenmodes of the tight- binding equations and are consistent with the comparing results from nite-dierence time-domain simulations.

The physical properties of asymmetric photonic-crystal directional couplers are studied under the tight-binding model, which asumes that the field distribution of photonic-crystal waveguides is localized around periodic defects. The couplings of nearby defects betwen two asymmetric waveguides cause two dispersion relations to split further whereas the couplings of nearby defects within an individual waveguide cause the sinusoidal modulations of the dispersion curves. The field-envelope distributions of the coupler are expresed by using the eigenmodes of the tight- binding equations and are consistent with the comparing results from nite-dierence time-domain simulations.