A correlation propagation model for nonlinear fourier transform of second order solitons
Abstract Inverse scattering transform or nonlinear Fourier transform (NFT) has been proposed for optic communication to increase channel capacity beyond the well known Shannon limit. Within NFT, solitons, as discrete outputs of the transform, can be a type of resource to carry information. Second-or...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2021-01-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-82011-y |
| _version_ | 1818435783591198720 |
|---|---|
| author | Wen Qi Zhang Terence H. Chan V. Shahraam Afshar |
| author_facet | Wen Qi Zhang Terence H. Chan V. Shahraam Afshar |
| author_sort | Wen Qi Zhang |
| collection | DOAJ |
| description | Abstract Inverse scattering transform or nonlinear Fourier transform (NFT) has been proposed for optic communication to increase channel capacity beyond the well known Shannon limit. Within NFT, solitons, as discrete outputs of the transform, can be a type of resource to carry information. Second-order solitons as the most basic higher order solitons show correlations among their parameters in the nonlinear Fourier domain as they propagate along a fibre. In this work, we report, for the first time, a correlation propagation model for second-order soliton pulses in the nonlinear Fourier domain. The model can predict covariance matrices of soliton pulses at any propagation distance using only the covariance matrices calculated at the input of the fibre with different phases in the nonlinear Fourier domain without the need of propagating the pulses. |
| first_indexed | 2024-12-14T16:58:22Z |
| format | Article |
| id | doaj.art-8e34b864176c4516b21e25ec67b3aeac |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-14T16:58:22Z |
| publishDate | 2021-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-8e34b864176c4516b21e25ec67b3aeac2022-12-21T22:53:53ZengNature PortfolioScientific Reports2045-23222021-01-011111910.1038/s41598-021-82011-yA correlation propagation model for nonlinear fourier transform of second order solitonsWen Qi Zhang0Terence H. Chan1V. Shahraam Afshar2Institute for Telecommunications Research, University of South AustraliaInstitute for Telecommunications Research, University of South AustraliaLaser Physics and Photonic Devices Laboratories, School of Engineering, University of South AustraliaAbstract Inverse scattering transform or nonlinear Fourier transform (NFT) has been proposed for optic communication to increase channel capacity beyond the well known Shannon limit. Within NFT, solitons, as discrete outputs of the transform, can be a type of resource to carry information. Second-order solitons as the most basic higher order solitons show correlations among their parameters in the nonlinear Fourier domain as they propagate along a fibre. In this work, we report, for the first time, a correlation propagation model for second-order soliton pulses in the nonlinear Fourier domain. The model can predict covariance matrices of soliton pulses at any propagation distance using only the covariance matrices calculated at the input of the fibre with different phases in the nonlinear Fourier domain without the need of propagating the pulses.https://doi.org/10.1038/s41598-021-82011-y |
| spellingShingle | Wen Qi Zhang Terence H. Chan V. Shahraam Afshar A correlation propagation model for nonlinear fourier transform of second order solitons Scientific Reports |
| title | A correlation propagation model for nonlinear fourier transform of second order solitons |
| title_full | A correlation propagation model for nonlinear fourier transform of second order solitons |
| title_fullStr | A correlation propagation model for nonlinear fourier transform of second order solitons |
| title_full_unstemmed | A correlation propagation model for nonlinear fourier transform of second order solitons |
| title_short | A correlation propagation model for nonlinear fourier transform of second order solitons |
| title_sort | correlation propagation model for nonlinear fourier transform of second order solitons |
| url | https://doi.org/10.1038/s41598-021-82011-y |
| work_keys_str_mv | AT wenqizhang acorrelationpropagationmodelfornonlinearfouriertransformofsecondordersolitons AT terencehchan acorrelationpropagationmodelfornonlinearfouriertransformofsecondordersolitons AT vshahraamafshar acorrelationpropagationmodelfornonlinearfouriertransformofsecondordersolitons AT wenqizhang correlationpropagationmodelfornonlinearfouriertransformofsecondordersolitons AT terencehchan correlationpropagationmodelfornonlinearfouriertransformofsecondordersolitons AT vshahraamafshar correlationpropagationmodelfornonlinearfouriertransformofsecondordersolitons |