The application of the ideas of topology to photonic systems leads to novel concepts such as topologically protected states. Underlying this are some key symmetry properties, such as chiral symmetry, where the energy spectrum of a system displays mirror symmetry about some point.
You will investigate a class of structures which possess an exact chiral symmetry. This includes one dimensional multilayer photonic structures and networks of radio frequency transmission lines. The use of transmission lines is particularly new, and will allow us to investigate topological effects in any dimensions, including greater than three, which were previously considered to be `unphysical’.
The work will be primarily theoretical, investigating the topologies which can be realised and the corresponding physical properties. However, there will be opportunities to carry out experiments on transmission line networks.