Relating two-dimensional reconfigurable meshes with optically pipelined buses

Recently, many models using reconfigurable optically pipelined buses have been proposed in the literature. We present simulations for a number of these models and establish that they possess the same complexity, so that any of these models can simulate a step of one of the other models in constant time with a polynomial increase in size. Specifically, we determine the complexity of three optical models (the PR-Mesh, APPBS, and AROB) to be the same as the well known LR-Mesh and the cycle-free LR-Mesh.