Tesselation of 3D by waveguides: random walk and computation

Josef Giglmayr

doi:10.1117/12.449648

6 December 2001 Tesselation of 3D by waveguides: random walk and computation

Josef Giglmayr

Proceedings Volume 4470, Photonic Devices and Algorithms for Computing III; (2001) https://doi.org/10.1117/12.449648
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

A major drawback of lightwave circuits (LWCs) is the nearest- neighbor (NN) interconnection scheme. An attempt to overcome within the technological restrictions is the repetitive triangulation (RTR) of the proposed N-gon cell complexes. (Higher-order RTR is aimed to be done in the frequency domain.) The 2-D LWCs are analyzed by (1) 2-D models (projection onto the plane) and (2) 3-D models. The 2-D models are (a) orthogonal 2-D grids where faulty edges comes in and (b) double triangulated 2-D grids for the embedding of the N- gon cell complexes subject to RTR. The 3-D models are (i) orthogonal 3-D grids and (ii) orthogonal 3-D grids with triangulated plane facets as spatial triangulation causes a topology which is difficult to realize by LWCs. The random walks within these architectures are considered. Random walks in orthogonal grids are known to exhibit different properties dependent on the dimension. These properties have to do with the propagation in all 2d directions (d is the dimension). The question arises whether these properties are obtainable also within the proposed feed-forward (FF) networks where backward couplings are excluded. As an approach to control these random walk characteristics (synthesis) the biased random walk is proposed.

Citation Download Citation

Josef Giglmayr "Tesselation of 3D by waveguides: random walk and computation", Proc. SPIE 4470, Photonic Devices and Algorithms for Computing III, (6 December 2001); https://doi.org/10.1117/12.449648

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