Nonlinear Waves, Optical Soliton Propagation and Computation.
Abstract
There were a number of significant accomplishments during the four years. During this period, 21 papers were published, 5 preprints were written, and 24 invited lectures were presented. Studies of nonlinear waves in thin film ferromagnets have shown the nonlinear Schroedinger equation (NLS) to be a fundamental equation. A first principles derivation of the NLS equation in concrete situations has been completed. The derivation together with numerical computations are being used to compare with actual experimental data generated at Colorado State University. The current analysis complements previous results involving nonlinear wave propagation in bulk ferromagnets where a generalized Kadomtsev-Petviashvili equation was derived. Recent research in quadratically nonlinear optical materials in multidimensional has demonstrated that coupled NLS type equations govern quasi-monochromatic wavetrains. The equations couple the optical field to DC fields. Ferromagnetic systems under study are quadratically nonlinear and therefore it is expected that similar coupled systems will govern slowly varying multidimensional wave trains.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1997
- Accession Number
- ADA332708
Entities
People
- Mark J. Ablowitz
Organizations
- University of Colorado Boulder