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Authors: X. Chen, P. Stroobant, M. Pickavet, W. Bogaerts
Title: Graph Representations for Programmable Photonic Circuits
Format: International Journal
Publication date: 4/2020
Journal/Conference/Book: IEEE Journal of Lightwave Technology
Volume(Issue): 38(15) p.4009-4018
DOI: 10.1109/JLT.2020.2984990
Citations: 22 ( - last update: 19/5/2024)
1 (OpenCitations - last update: 19/4/2024)
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We propose graph representations for reconfig-
urable photonic mesh circuits. Waveguide mesh circuits are abstracted into a graph to highlight the connectivity and topology. We apply these representations to a hexagonal mesh with feedback loops, since design and programming strategies in these meshes are still limited as of today. We use three types of graph representations for tunable ouplers to model the flow of light and create a circuit graph representation. The representation should respect the physics of waveguide circuits (e.g. directional flow of light). Of the three types, the directed graph with eight artificial nodes performs best for solving light distributions with feed-back paths. This graph representation is demonstrated in four distribution cases: a single pair input-output, multi-pair inputs and outputs without collisions, a single input to multiple outputs (distribution), and multiple distributions without collisions. This circuit representation allows us to apply a wealth of existing algorithms developed in graph theory to allow programming of complex reconfigurable photonic circuits, especially in photonic meshes with feedback paths.

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