arXiv Open Access 2022

Fourier spectrum and related characteristics of the fundamental bright soliton solution

N. Karjanto

Lihat Sumber

Abstrak

We derive exact analytical expressions for the spatial Fourier spectrum of the fundamental bright soliton solution for the $(1 + 1)$-dimensional nonlinear Schrödinger equation. Similar to a Gaussian profile, the Fourier transform for the hyperbolic secant shape is also shape-preserving. We further confirm that the fundamental soliton indeed satisfies essential characteristics such as Parseval's relation and the stretch-bandwidth reciprocity relationship. The fundamental bright solitons find rich applications in nonlinear fiber optics and optical telecommunication systems.

Topik & Kata Kunci

nlin.PS nlin.SI

Penulis (1)

N. Karjanto

Format Sitasi

APA MLA BibTeX

Karjanto, N. (2022). Fourier spectrum and related characteristics of the fundamental bright soliton solution. https://arxiv.org/abs/2205.01521

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓