DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click HERE
to register or log in.
Nonlinear Optics in Parity-Time-Symmetric and Quasi-Parity-Time-Symmetric Systems
The objective of this proposal is to investigate novel behaviors of nonlinear optics in parity-time (PT) symmetric and quasi-PT symmetric systems and to explore their practical applications in single-mode lasers. Nonlinear optics in PT-symmetric complex media, i.e., optical media with spatially balanced gain and loss, is currently one of the research frontiers in optics and applied mathematics. PT optics exhibits a wide array of novel phenomena, which are inspiring new optical applications such as PT-symmetric single-mode lasers and unidirectional reflectionless optical devices. Thus, deep understanding of nonlinear light behaviors in PT-symmetric and PT-related optical media is important for both theoretical and practical reasons. In this project, a number of outstanding theoretical and practical problems on nonlinear optics in PT-symmetric and quasi-PT-symmetric complex media will be analyzed. Specifically, theoretical questions such as the general forms of one- and multi-dimensional PT-symmetric potentials which admit symmetry breaking of solitons, general forms of non-PT-symmetric complex potentials which admit soliton families, stability properties of these solitons, and extension of PT symmetry to multi-light frequency systems will be investigated. In addition, practical questions such as the nonlinear operation of realistic PT-symmetric single-mode lasers will be theoretically analyzed. The amount of output powers for different geometries of PT-laser cavities will be computed, and the geometry which produces the most power will be identified. These problems will be investigated through a combination of mathematical modeling, asymptotic analysis, numerical computations, and comparison with real experiments. These studies will not only reveal and explain new physical phenomena in PT-related optical media, but also provide guidance to physical applications such as PT-symmetric single-mode lasers.
Approved For Public Release