An all-optical soliton FFT computational arrangement in the 3NLSE-domain. (English) Zbl 1476.68094
Amos, Martyn (ed.) et al., Unconventional computation and natural computation. 15th international conference, UCNC 2016, Manchester, UK, July 11–15, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9726, 11-24 (2016).
Summary: In this paper an all-optical soliton method for calculating the FFT (fast Fourier transform) algorithm is presented. The method comes as an extension of the calculation methods (soliton gates) as they become possible in the cubic nonlinear Schrödinger equation (3NLSE) domain, and provides a further proof of the computational abilities of the scheme. The method involves collisions entirely between first order solitons in optical fibers whose propagation evolution is described by the cubic nonlinear Schrödinger equation. The main building block of the arrangement is the half-adder processor. Expanding around the half-adder processor, the “butterfly” calculation process is demonstrated using first order solitons, leading eventually to the realisation of an equivalent to a full Radix-2 FFT calculation algorithm.
For the entire collection see [Zbl 1339.68005].
For the entire collection see [Zbl 1339.68005].
MSC:
| 68Q09 | Other nonclassical models of computation |
| 65T50 | Numerical methods for discrete and fast Fourier transforms |
| 78A35 | Motion of charged particles |
Keywords:
solitons; 3NLSE domain; all-optical FFT; cubic nonlinear Schrödinger equation; soliton collisions; soliton computational schemesReferences:
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