Ab initio tight-binding description of morphology-dependent resonance in a bisphere

Morphology-dependent resonance (MDR) of the electric field in a bisphere is investigated with respect to the electromagnetic energy stored within the spheres. The energy spectra clearly reveal the fine structure of the bonding and antibonding branches originating from the Mie resonance of a single sphere. The electric field distribution can directly provide information on the formation of the bonding and antibonding states. On the basis of this detailed information, we establish the ab initio tight-binding (TB) formalism of the MDR in a bishpere. The single-mode TB model combined with the linearization of the phase shift clarifies the meaning of the overlap integral. It also gives a qualitative explanation of the MDR. By dividing the Mie resonance modes into the relevant modes and the reservoir modes and incorporating the latter perturbationally, it is shown that the double-mode TB model can reproduce the exact numerical results fairly well.