Extended Data Fig. 1: Leaky photonic lattice design for laser-written waveguides.
From: Probing bulk topological invariants using leaky photonic lattices
(a) Schematic of a leaky photonic lattice formed by an array of 18 primary waveguides (red) weakly coupled to auxiliary arrays forming the environment. The alternating position of the environment arrays above and below the primary array can be used to minimise unwanted direct coupling between the auxiliary arrays. (b) Corresponding tight binding model. (c,d,e) Dynamics of observables in the primary array: (c) the total norm \({\mathcal{N}}={\sum }_{m}| {\psi }_{m}{| }^{2}\), (d) the mean displacement \(\Delta x={\sum }_{m}(m-x(0))| {\psi }_{m}{| }^{2}/{\mathcal{N}}\), and (e) the Zak phase ν. Error bars in (d,e) indicate one standard deviation obtained using an ensemble of 100 disorder realizations.
