Title :
TM modes guided by nonlinear dielectric slabs
Author_Institution :
Dept. of Phys., Northern Jiaotong Univ., Beijing, China
fDate :
3/1/1995 12:00:00 AM
Abstract :
Propagation of a TM0 mode in a Kerr-type nonlinear dielectric slab is investigated. The exact analytical expression of E 2(x), E2=Ex2+EZ 2, the decoupled linear differential equation and its equivalent Volterra integral equation of Ex, 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;
Journal_Title :
Lightwave Technology, Journal of
