Title :
Propagation phenomena of nonlinear guided waves in graded-index planar waveguides
Author :
Mihalache, D. ; Mazilu, D.
Author_Institution :
Dept. of Theor. Phys., Atomic Phys., Bucharest, Romania
fDate :
12/1/1991 12:00:00 AM
Abstract :
The dispersion relations, stability to propagation, absorption effects and Gaussian beam excitation of nonlinear TE waves guided by graded-index planar waveguides with both Kerr-law and saturable nonlinear cladding media are discussed numerically. The spatial soliton emission and the effects of linear absorption on spatial soliton emission in graded-index planar waveguides with Kerr-like nonlinear cover media are investigated by numerical techniques. The stationary field distribution and the guided wave power flow-effective mode index relationship are obtained using the finite element method. The propagation down the waveguide of nonlinear TE waves excited by a specific input beam is investigated numerically using the Crank-Nicolson finite-difference scheme combined with the Newton-Picard method for solving the corresponding system of nonlinear equations
Keywords :
difference equations; finite element analysis; gradient index optics; optical Kerr effect; optical dispersion; optical saturable absorption; optical waveguide theory; solitons; Crank-Nicolson finite-difference scheme; Gaussian beam excitation; Kerr-like nonlinear cover media; Newton-Picard method; absorption effects; dispersion relations; finite element method; graded-index planar waveguides; guided wave power flow-effective mode index relationship; linear absorption; nonlinear equations; nonlinear guided waves; nonlinear transverse electric waves; numerical techniques; propagation phenomena; saturable nonlinear cladding media; spatial soliton emission; specific input beam; stationary field distribution;
Journal_Title :
Optoelectronics, IEE Proceedings J