Theoretical analysis of channel drop tunneling processes

We investigate general channel drop tunneling processes using both analytic theory and first-principles simulations. These tunneling processes occur w hen two one-dimensional continuums are brought into close proximity with a resonator system that supports localized states. Propagating states can be transferred between the continuums through the resonator system. We show th at the transport properties are intricately related to the symmetries of th e resonant states. Complete transfer can be achieved by manipulating the sy mmetries of the system, and by forcing an accidental degeneracy between sta tes with different symmetries. In addition, the line shape of the transfer spectrum can be engineered by varying the number of localized states in the resonator system. The theoretical analysis is confirmed by first-principle s simulations of transport properties in a two-dimensional photonic crystal .