Coupled-waves approach to the design and analysis of Bragg and photonic crystal annular resonators

Author

Scheuer, Jacob ; Yariv, Amnon

Author_Institution

Dept. of Appl. Phys., California Inst. of Technol., Pasadena, CA, USA

Volume

39

Issue

12

fYear

2003

Firstpage

1555

Lastpage

1562

Abstract

We utilize a novel coupled-waves approach to design and analyze various types of annular resonators based on Bragg and photonic crystal reflectors. Optimal grating profiles and their corresponding modal fields are found for specific cases such as disk and defect mode (ring) resonators. An excellent match is found between our analytic approximations and exact results obtained by the transfer matrix formalism and finite-difference time-domain simulations.

Keywords

Bragg gratings; coupled mode analysis; finite difference time-domain analysis; integrated optics; optical resonators; photonic crystals; transfer function matrices; Bragg annular resonators; closed-form expression; coupled-waves approach; defect mode resonators; disk resonators; finite-difference time-domain simulations; integrated optics; modal fields; optimal grating profiles; photonic crystal reflectors; radial Bragg grating; transfer matrix formalism; Distributed feedback devices; Finite difference methods; Geometry; Optical reflection; Optical resonators; Optical ring resonators; Photonic crystals; Polarization; Time domain analysis; Transmission line matrix methods;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2003.819548

Filename

1253226