Photonic Anderson Model: Hybridization between Photon Virtual Bound State in Dielectrics and Free States

Abstract

A theory of hybridization between a localized mode and free modes in photonics is presented. It is the photonic counterpart of the Anderson model for the s- and d-electrons problem in solid-state physics. The localized mode corresponding to a d-electron is found to be a photon virtual bound state. The photonic density of states analytically obtained from the present theory is compared with numerical results, showing good agreement. The present theory supports the “heavy photon” concept proposed for photonic crystals.