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Towards an All-Optical Soliton FFT in the 3NLS-Domain

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7956))

Abstract

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 3NLSE.

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References

  1. Jakubowski, M.H., Steiglitz, K., Squier, R.K.: Computing with Solitons Multi-Valued Logic (Special Issue on Collision Based Computing) (2001)

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  2. Jakubowski, M.H., Steiglitz, K., Squier, R.K.: When Can Solitons Compute? Complex Systems 10(1) (1996)

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  3. Bakaoukas, A.G., Edwards, J.: Computing in the 3NLS Domain using First Order Solitons. International Journal of Unconventional Computing (IJUC) 5(6) (2009) ISSN: 15487199

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© 2013 Springer-Verlag Berlin Heidelberg

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Bakaoukas, A.G. (2013). Towards an All-Optical Soliton FFT in the 3NLS-Domain. In: Mauri, G., Dennunzio, A., Manzoni, L., Porreca, A.E. (eds) Unconventional Computation and Natural Computation. UCNC 2013. Lecture Notes in Computer Science, vol 7956. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39074-6_26

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  • DOI: https://doi.org/10.1007/978-3-642-39074-6_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39073-9

  • Online ISBN: 978-3-642-39074-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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