Wave propagation from a node in a complex network will result in resonance which are due to cycles (loops) inside the networks. The analysis of these resonances and their relation to the topological properties of the network will be conducted using numerical methods.
UROP1000 UROP1100 UROP2100 UROP3100 UROP4100
The student will study the scattering of wave first in simple graphs, such as tetrahedron. Other simple patterns such as hexagonal lattice on the plane, and Voronoi graphs will also be studied. Connection to quantum chaotic systems will be investigated.
Applicant's Learning Objectives:
1. Learn basic scattering calculation on simple graphs
2. Understand the origin of topological resonances
3. Seek application in physics and engineering.