Figure 2: Supersymmetry (SUSY) in photonic lattices.
(a) Continuous refractive index profile and (b) discrete representation of an array arrangement of evenly spaced, identical waveguides and (c,d) its superpartner structure. (e) Bound modes of these two systems. Their vertical positions indicate the corresponding eigenvalues; the discrete modes are shown as shaded envelopes. Light dynamics in SUSY structures: The supersymmetric transformation of a two-moded structure (f) yields a single-mode partner (g). Experimentally observed propagation of a Gaussian beam normally injected into a defect domain within a uniform photonic lattice. (h) The emerging periodic beating pattern indicates that the structure supports two bound modes. (i) Propagation of the same initial wave packet in the corresponding superpartner potential. Here only a single bound state exists and the evolution becomes stationary as soon as the diffractive background has dissipated. In (h,i), the distributions of the propagation constants β and coupling coefficients C across the lattices are indicated by grey and blue bars, respectively.
