Application of the Complex Coupled-Mode Theory to Optical Fiber Grating Structures

Author

Song, Ning ; Mu, Jianwei ; Huang, Wei-Ping

Author_Institution

State Key Lab. on Fiber-Opt. Local Area Networks & Adv. Opt. Commun. Syst., Shanghai Jiao Tong Univ., Shanghai, China

Volume

28

Issue

5

fYear

2010

fDate

3/1/2010 12:00:00 AM

Firstpage

761

Lastpage

767

Abstract

The complex coupled-mode theory (CMT) is applied to optical fiber grating structures of circular cross section. The radiative fields are treated in terms of discrete complex modes similarly to the guided modes in the conventional CMT. The number of modes that contribute to the couplings may be effectively reduced by considering the phase-matching condition. Therefore, simple analytical expressions for mode amplitudes and powers are obtained. Examples of the Bragg gratings with various outer cladding refractive indexes, e.g., lower, equal to and higher than the inner cladding refractive index, are investigated and show excellent agreement with rigorous numerical solutions.

Keywords

Bragg gratings; optical fibre cladding; optical fibre couplers; optical fibre theory; optical phase matching; refractive index; Bragg gratings; cladding refractive indexes; complex coupled-mode theory; discrete complex modes; optical couplings; optical fiber grating structures; phase-matching; radiative fields; Coupled-mode theory (CMT); fiber gratings; mode coupling; optical fiber device; perfectly matched layer (PML); radiation mode.;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2010.2041428

Filename

5398932