A Hamiltonian formulation for coupled-wave equations

Author

Hirono, T. ; Yoshikuni, Y.

Author_Institution

NTT Opto-Electron. Labs., Kanagawa, Japan

Volume

30

Issue

8

fYear

1994

fDate

8/1/1994 12:00:00 AM

Firstpage

1751

Lastpage

1755

Abstract

We construct a Hamiltonian formulation for coupled-wave equations that describes the envelope functions of the electric field in an almost-periodic distributed-feedback waveguide with gain or loss. From the Hamiltonian, we can derive that the determinant of the fundamental matrix of the waveguide is always unity. A perturbation formula for the eigenvalues of the coupled-wave equations is simply derived using the Hamiltonian formulation. The Hamiltonian also provides the basis for the numerical calculation of the eigenvalues using the variational method

Keywords

distributed feedback lasers; eigenvalues and eigenfunctions; laser cavity resonators; optical waveguide theory; variational techniques; DFB laser cavity waveguide; Hamiltonian formulation; almost-periodic distributed-feedback waveguide; coupled-wave equations; eigenvalues; electric field; envelope functions; fundamental matrix determinant; gain; loss; numerical calculation; perturbation formula; variational method; Differential equations; Eigenvalues and eigenfunctions; Integral equations; Laser modes; Laser theory; Optical coupling; Optical refraction; Optical variables control; Optical waveguides; Waveguide lasers;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.301638

Filename

301638