TM modes guided by nonlinear dielectric slabs

Author

Kang, Shou-Wan

Author_Institution

Dept. of Phys., Northern Jiaotong Univ., Beijing, China

Volume

13

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

391

Lastpage

395

Abstract

Propagation of a TM₀ mode in a Kerr-type nonlinear dielectric slab is investigated. The exact analytical expression of E ²(x), E²=E_x²+E_Z ², the decoupled linear differential equation and its equivalent Volterra integral equation of E_x, and the eigenvalue equation of propagation constant β are presented. Finally, an example of approximate analytical solutions obtained by the method of successive approximation is given

Keywords

Volterra equations; approximation theory; differential equations; eigenvalues and eigenfunctions; linear differential equations; optical Kerr effect; optical planar waveguides; optical waveguide theory; Kerr-type nonlinear dielectric slab; TM modes; TM₀ mode propagation; approximate analytical solutions; decoupled linear differential equation; eigenvalue equation; equivalent Volterra integral equation; exact analytical expression; nonlinear dielectric slabs; propagation constant; successive approximation; Dielectrics; Differential equations; Integral equations; Nonlinear equations; Optical fiber couplers; Propagation constant; Refractive index; Semiconductor materials; Slabs; Tellurium;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.372433

Filename

372433