Mathematical Nonlinear Optics
Abstract
The general goal of this research is to develop the modern mathematical theory of nonlinear dispersive waves, and to apply this theory to applications in nonlinear optics. Aspects of the work also study fundamental properties of nonlinear materials, such as liquid crystals and polymers. These foundational studies provide basic understanding of nonlinear processes which are important for technological applications relevant to the Air Force, such as laser hardening for protection against intense optical pulses. Primary results of these studies include: (1) A description of propagation effects in highly nonlinear liquid crystal media; (2) The characterization of properties of random, chaotic,and turbulent nonlinear waves; (3) A collaboration between members of Brooks AFB, Wright Patterson AFB, and the Courant Institute to investigate laser hardening via optical limiting with reverse saturable absorption; (4) A study of transverse effects in all-optical bistable arrays; (5) A study of precursors in idealized nonlinear propagation; (6) A study of the dynamics of polymer and polymer/liquid crystal systems; and (7) the resolution through nonlinearity of singular interactions between reflected and diffracted waves.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 11, 1998
- Accession Number
- ADA360928
Entities
People
- David W. Mclaughlin
Organizations
- New York University