Eigenvalue Problem for Bragg's Resonator

This paper solves the eigenvalue problem for Bragg's resonator. The modes of the resonator formed by couple parallel identical Bragg mirrors in the dielectric media are studied. The resonant frequencies are located in the region of electromagnetic wave selective reflection. The structure of field corresponds to the exponentially damped solution of Floquet's problem for the one-dimensional periodic dielectric. For regions of selective reflection of waves the obtained solutions satisfy to boundary conditions for modes of resonator.