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Center for Nonlinear Studies |
Solitons of integrable nonlinear systems normally undergo purely elasticcollisions without change in their shapes or speeds. It is shown, however, that systems modeled by N-coupled nonlinear Schroedinger equations (N greater than or equal to 2) of Manakov type, though completely integrable, admit eact soliton solutions corresponding to nontrivial energy exchange or intensity redistribution or shape change of solitons and their modes. This redistribution is typically characterised by a linear fractional transformation, which implies that for every collision which changes shape one can identify an inverse collision which can undo it. Consequently one can develop logic gates, including universal gates of classical computation through collision of solitons. Typically coupled nonlinear Schroedinger equations model wave propagation in nonlinear optical media such as in multimode optical fibers, incoherent beam propagation in photorefractive materials or wave propagation in left handed materials. Consequently the above studies indicate the possibilities of all optical computing in bulk media using purely light-light collisions and intensity amplification process without induced noise in optical media.
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