Studies of High Power Edge localized Wave Propagation in Novel Materials; Opportunities to Provide Advanced Antenna and Circuit Capabilities
Abstract
This proposal describes continuing research investigations by the PI involving high power wave propagation in optics. The research focuses on classes of 2D optical lattices including honeycomb, staggered square, Lieb, Kagome and magneto optical (MO) lattices. Honeycomb lattices (HCLs) are paradigm lattices. With their background hexagonal structure these photonic lattices share some key properties with material graphene; the underlying lattice structure is the same and both exhibit conical singularities, referred to as Dirac points, in their Brillouin zones. HCLs with appropriate helical structure written into the propagating direction admit a class of linear and nonlinear localized edge waves on their boundary. The underlying mathematical-topological structure of the equations indicates that localized linear edge waves can propagate unidirectionally and they can propagate around defects without backscatter; they are termed topologically protected modes. The PI has shown that similar, and in some cases improved, results are also found in the nonlinear case. This research was recently extended by the PI to allow different sublattices to have different helical structure imprinted in the propagation direction. As a result a new and larger class of topologically protected waves have been identified.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 14, 2022
- Source ID
- FA95501910084
Entities
People
- Mark J. Ablowitz
Organizations
- Air Force Office of Scientific Research
- Regents of the University of Colorado
- United States Air Force