An all-optical soliton FFT computational arrangement in the 3NLSE-domain

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In this paper an all-optical soliton method for calculating the Fast Fourier Transform (FFT) algorithm is presented. The method comes as an extension of the calculation methods (soliton gates) as they become possible in the cubic non-linear 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 3NLSE. 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.
Original languageEnglish
Pages (from-to)231-248
Number of pages18
JournalNatural Computing
Issue number2
Early online date4 Oct 2017
Publication statusE-pub ahead of print - 4 Oct 2017


  • 3NLSE domain
  • All-optical FFT
  • Cubic non-linear Schrödinger equation
  • Soliton collisions
  • Soliton computational schemes
  • Solitons


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