143 citations · 364 across the 6 of their papers we have counts for
23 papers · 1 filter
Gradient catastrophe of nonlinear photonic valley-Hall edge pulses
Daria A. Smirnova, Lev A. Smirnov, Ekaterina O. Smolina +2
We derive nonlinear wave equations describing the propagation of slowly-varying wavepackets formed by topological valley-Hall edge states. We show that edge pulses break up even in…
Photonic band structure design using persistent homology
Daniel Leykam, Dimitris G Angelakis
The machine learning technique of persistent homology classifies complex systems or datasets by computing their topological features over a range of characteristic scales. There is…
Probing band topology using modulational instability
Daniel Leykam, Ekaterina Smolina, Aleksandra Maluckov +2
We analyze the modulational instability of nonlinear Bloch waves in topological photonic lattices. In the initial phase of the instability development captured by the linear stabil…
Topological phases in ring resonators: recent progress and future prospects
Daniel Leykam, Luqi Yuan
Topological photonics has emerged as a novel paradigm for the design of electromagnetic systems from microwaves to nanophotonics. Studies to date have largely focused on the demons…
Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
Shiqi Xia, Dario Jukić, Nan Wang +9
The flourishing of topological photonics in the last decade was achieved mainly due to developments in linear topological photonic structures. However, when nonlinearity is introdu…
Probing bulk topological invariants using leaky photonic lattices
Daniel Leykam, Daria A. Smirnova
Topological invariants characterising filled Bloch bands attract enormous interest, underpinning electronic topological insulators and analogous artificial lattices for Bose-Einste…