New approach to find nonlinear Fourier transform of optical signals

Shahraam Afshar Vahid; Wen Qi Zhang; Terence H. Chan

doi:10.1117/12.2539909

30 December 2019 New approach to find nonlinear Fourier transform of optical signals

Shahraam Afshar Vahid, Wen Qi Zhang, Terence H. Chan

Proceedings Volume 11200, AOS Australian Conference on Optical Fibre Technology (ACOFT) and Australian Conference on Optics, Lasers, and Spectroscopy (ACOLS) 2019; 112002Y (2019) https://doi.org/10.1117/12.2539909
Event: ANZCOP, 2019, Melbourne, Australia

Abstract

Motivated by available methods in quantum mechanics, we have developed a novel method to find the nonlinear Fourier transform (NFT) of optical signals. Using this approach, we are able to analytically solve the matrix eigenfunction-eigenvalue equation that describes NFT and reduce it to an ordinary first order scalar differential equation. This simplifies the processes of finding the NFT of any optical signal and can potentially lead to more efficient and accurate numerical methods to find NFT.

Citation Download Citation

Shahraam Afshar Vahid, Wen Qi Zhang, and Terence H. Chan "New approach to find nonlinear Fourier transform of optical signals", Proc. SPIE 11200, AOS Australian Conference on Optical Fibre Technology (ACOFT) and Australian Conference on Optics, Lasers, and Spectroscopy (ACOLS) 2019, 112002Y (30 December 2019); https://doi.org/10.1117/12.2539909

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