Abstract
In this thesis, we propose a new construction for a 2-to-1 optical FIFO multiplexer by Switched Delay Lines (SDL). We consider an (M+2)*(M+2) crossbar switch and M fiber delay lines with delays d_1, d_2,...., d_M. These M fiber delay lines are connected from the M outputs of the crossbar switch to the$M inputs of the switch, leaving two inputs (resp. two outputs) of the switch for the two inputs (resp. two outputs) of the 2-to-1 multiplexer. We show that such a construction can be operated as a 2-to-1 FIFO multiplexer with buffer $\sum_{i=1}^{M} d_i$ if (i) the delay lines are chosen to satisfy d_1 =1 and d_i <= d_{i+1} <= 2d_i, i=1,2,..., M-1, and (ii) the routing of a packet is according to a specific decomposition of the packet delay, called the C-transform in this thesis.