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Computation in the 3NLS Domain Using First and Second Order Solitons
Anastasios G. Bakaoukas and John Edwards

Previous studies have shown that useful computation is possible using collisions in optical fibres between first order solitons governed by the cubic non-linear Schrodinger equation. The present study uses numerical analysis to examine collisions between first and second order solitons and between second order solitons and shows that by examining optical pulses arriving in time slots defined relative to a central time slot, up to three logical functions can be obtained almost simultaneously from a single collision between solitons in a single fibre. The system must launch either a first or second order soliton at one of two frequencies equally above and below that of a central second order soliton at times equally before and after the central second order soliton.

Keywords: Optical fibre computing, first and second order soliton collisions, cubic non-linear schrodinger equation, split step fourier analysis, optical logic gates, time gated soliton logic gates, multiple logic functions from a single gate.

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