Section-wise-exact coupled-mode theory of waveguide quasi-phase-matched second-harmonic generation

Author

Jeong, Yoonchan ; Lee, Byoungho

Author_Institution

Sch. of Electr. Eng., Seoul Nat. Univ., South Korea

Volume

35

Issue

10

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

1434

Lastpage

1446

Abstract

We derive exact mathematical expressions for both the amplitude and phase evolution of optical waves due to linear and nonlinear interactions in a waveguide device and propose a section-wise-exact coupled-mode theory analysis for quasi-phase-matched second-harmonic generation in the waveguide. Section-wise-exact coupled-mode theory is readily applicable to nonuniform quasi-phase-matched gratings and can be useful as a quantitative method in their analysis and design. Using the method, several numerical results are presented for second-harmonic generation in periodically poled LiNbO₃ channel waveguides. In addition, we introduce a split-step method which takes propagation losses into account and which can include linear and two-photon absorption and waveguide losses

Keywords

coupled mode analysis; dielectric polarisation; diffraction gratings; lithium compounds; optical design techniques; optical harmonic generation; optical losses; optical phase matching; optical planar waveguides; optical waveguide theory; photorefractive materials; two-photon processes; LiNbO₃; amplitude evolution; design; exact mathematical expressions; linear absorption; linear interactions; nonlinear interactions; nonuniform quasi-phase-matched gratings; numerical results; optical waves; periodically poled channel waveguides; phase evolution; propagation losses; quantitative method; quasi-phase-matched second-harmonic generation; second-harmonic generation; section-wise-exact coupled-mode theory; section-wise-exact coupled-mode theory analysis; split-step method; two-photon absorption; waveguide; waveguide device; waveguide losses; waveguide quasi-phase-matched second-harmonic generation; Absorption; Gratings; Nonlinear optical devices; Nonlinear optics; Optical coupling; Optical devices; Optical waveguide theory; Optical waveguides; Propagation losses; Waveguide theory;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.792561

Filename

792561