Modal analysis of nonlinear propagation in dielectric slab waveguide

In this paper we present a study of nonlinear guided propagation based on the development of the actual electromagnetic field in terms of the modes of a linear dielectric guide. This approach permits in principle to consider propagation over finite lengths of waveguide of general nonuniform nonlinearity, with arbitrary excitation at a finite location and to retain the second derivative term that is neglected in the usual Schrodinger equation approximation to the wave equation.

[1]  T. Rozzi,et al.  Radiation loss of Y-junctions in rib waveguide , 1995 .

[2]  P. Pierleoni,et al.  Coupled-soliton photonic logic gates: practical design procedures , 1995 .

[3]  M. N. Husain,et al.  Radiation modes and step discontinuities in dielectric rib waveguide , 1992 .

[4]  S. Chi,et al.  Nonlinear TE-wave propagation in a symmetric, converging, single-mode Y-junction waveguide , 1992 .

[5]  D. Mihalache,et al.  Propagation phenomena of nonlinear guided waves in graded-index planar waveguides , 1991 .

[6]  S. Chi,et al.  Beam propagation method analysis of transverse-electric waves propagating in a nonlinear tapered planar waveguide , 1991 .

[7]  N. Okamoto,et al.  Improved coupled-mode theory for nonlinear directional couplers , 1991 .

[8]  G. Cerri,et al.  Variational analysis of the dielectric rib waveguide using the concept of 'transition function' and including edge singularities , 1991 .

[9]  J. Moloney,et al.  Propagation and stability of optical pulses in nonlinear planar structures with instantaneous and finite response times , 1990 .

[10]  Masanori Koshiba,et al.  Split-step finite-element method applied to nonlinear integrated optics , 1990 .

[11]  Masanori Koshiba,et al.  Finite-element formalism for nonlinear slab-guided waves , 1988 .

[12]  Stegeman,et al.  Multisoliton emission from a nonlinear waveguide. , 1986, Physical review. A, General physics.

[13]  G. Stegeman,et al.  Nonlinear waves guided by thin films , 1984 .

[14]  M. G. Cox,et al.  The Numerical Evaluation of a Spline from its B-Spline Representation , 1978 .

[15]  T. Rozzi.  Modal analysis for nonlinear processes in optical and quasi-optical waveguides , 1970 .

[16]  N. Marcuvitz,et al.  On the Representation of the Electric and Magnetic Fields Produced by Currents and Discontinuities in Wave Guides. I , 1951 .

[17]  C. Angelis,et al.  Spatial soliton switching modes of nonlinear optical slab waveguides , 1993 .

[18]  T. Rozzi,et al.  Phase-plane approach to nonlinear propagation in dielectric slab waveguide , 1992 .

[19]  T. Rozzi,et al.  Finite curvature and corrugations in dielectric ridge waveguides , 1988 .