Inverse scattering transform via affine map: applications to high-speed nonlinear optical communications
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911079461814272 |
|---|---|
| author | Kuk, Ilia Gabitov, Ildar R. |
| author_facet | Kuk, Ilia Gabitov, Ildar R. |
| contents | This work present an affine map approximation for solving the inverse scattering problem related to the nonlinear Schrödinger model of signal propagation in high-speed coherent optical communication. Numerical simulations indicate that accurate recovery of the transmitted bit sequence can be achieved using only the continuous part of the Lax spectrum at the fiber output, thereby allowing the discrete (soliton) spectrum to be disregarded. We observed that the numerically evaluated rank of the resulting affine map matrix equals the number of bits per transmitted sequence, and we utilize this to derive a reduced order affine map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20470 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse scattering transform via affine map: applications to high-speed nonlinear optical communications Kuk, Ilia Gabitov, Ildar R. Optics Mathematical Physics Pattern Formation and Solitons Exactly Solvable and Integrable Systems Data Analysis, Statistics and Probability This work present an affine map approximation for solving the inverse scattering problem related to the nonlinear Schrödinger model of signal propagation in high-speed coherent optical communication. Numerical simulations indicate that accurate recovery of the transmitted bit sequence can be achieved using only the continuous part of the Lax spectrum at the fiber output, thereby allowing the discrete (soliton) spectrum to be disregarded. We observed that the numerically evaluated rank of the resulting affine map matrix equals the number of bits per transmitted sequence, and we utilize this to derive a reduced order affine map. |
| title | Inverse scattering transform via affine map: applications to high-speed nonlinear optical communications |
| topic | Optics Mathematical Physics Pattern Formation and Solitons Exactly Solvable and Integrable Systems Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2507.20470 |