Photonics Research, 2019, 7 (11): 11001240, Published Online: Oct. 22, 2019
Bosonic discrete supersymmetry for quasi-two-dimensional optical arrays
Figures & Tables
Fig. 1. Summary of our proposed approach. A discrete SUSY transformation is applied to a set of N N = 3 N − 1
Fig. 2. Optical implementation of the SUSY arrays example shown in Fig. 1 using a waveguide platform. The left panel shows the original array while right panel shows the BD-SUSY partner obtained as described in the text. The waveguides are all identical, having an elliptic geometry with main/minor diameters of 12 and 6 μm, respectively. The core and cladding refractive indices are taken to be n core = 1.461 n clad = 1.46 d 1 = 23.765 μm d 2 = 18.275 μm d 3 = 16.190 μm κ 12 = 14.143 m − 1 κ 23 = 13.141 m − 1 κ 24 = 10.000 m − 1 d 4 = 22.425 μm κ 12 = 20.012 m − 1
Fig. 3. Eigenmode structure of the waveguide arrays shown in Figs. 2(a) and 2(b) are depicted in the left and right panels, respectively (obtained by full-wave finite element simulations). The figures also indicate the values of the associated propagation constants as measured from the isolated waveguide value, i.e., Δ β = β m − β o m − 1 β m , o m
Fig. 4. Light propagation dynamics in a waveguide array formed by introducing a weak coupling between the main structure and its partner, as shown in (a)–(e). When mode ① of the main array is excited, we observe an efficient optical power transfer to the partner array after a propagation distance corresponding to z = 4 π
Q. Zhong, S. Nelson, M. Khajavikhan, D. N. Christodoulides, R. El-Ganainy. Bosonic discrete supersymmetry for quasi-two-dimensional optical arrays[J]. Photonics Research, 2019, 7(11): 11001240.
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