Open AccessAnalysis of unified unsymmetric lateral coupled-mode theory of optical waveguide
Author(s) -
Pei Li,
Zhao Rui-Feng
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.184213
Subject(s) - coupled mode theory , mode (computer interface) , coupling (piping) , helmholtz equation , mode coupling , physics , helmholtz free energy , waveguide , power (physics) , mathematical analysis , optics , quantum mechanics , mathematics , computer science , refractive index , materials science , boundary value problem , operating system , metallurgy
Lateral coupled-mode theory of optical waveguide includes orthogonal coupled-mode theory and nonorthogonal coupled-mode theory. However, the two kinds of coupled-mode theories do not have unified analytical solutions. And they both do not deal with the asymmetric coupling power of unmatched-coupled waveguides deeply. On the one hand, a new kind of nonorthogonal coupled-mode equation is derived from the Helmholtz wave equation in this paper. And both of the orthogonal coupled-mode equations and the nonorthogonal coupled-mode equations are processed and solved uniformly. As a result, a unified solution is obtained. On the other hand, the asymmetric coupling power of unmatched-coupled waveguides is studied in detail, based on the obtained solution. The calculated results show that both of the maximum mutual-coupling power and the minimum self-coupling power can be approximated by the unified solution.