Eigenvalue Problem for Bragg´s Resonator

Author

Terentev, Y.M.

Author_Institution

Dept. of Electron., Telecommun. & Comput. Syst., Dniepropetrovsk Nat. Univ., Dnepropetrovsk

Volume

1

fYear

2007

fDate

25-30 June 2007

Firstpage

228

Lastpage

230

Abstract

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.

Keywords

cavity resonators; eigenvalues and eigenfunctions; electromagnetic wave reflection; mirrors; periodic structures; waveguide theory; Bragg resonator modes; Floquet problem; boundary conditions; eigenvalue problem; electromagnetic wave selective reflection; one-dimensional periodic dielectric; resonant frequencies; Dielectrics; Differential equations; Eigenvalues and eigenfunctions; Electrodynamics; Electromagnetic reflection; Electromagnetic scattering; Mirrors; Periodic structures; Quantum mechanics; Telecommunication computing;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves and Workshop on Terahertz Technologies, 2007. MSMW '07. The Sixth International Kharkov Symposium on

Conference_Location

Kharkov

Print_ISBN

1-4244-1237-4

Type

conf

DOI

10.1109/MSMW.2007.4294617

Filename

4294617