Numerical Methods for the Inverse Nonlinear Fourier Transform

TL;DR

This paper presents a novel numerical method for computing the inverse nonlinear Fourier transform that achieves higher accuracy with fewer operations compared to existing methods.

Contribution

The paper introduces a new inverse nonlinear Fourier transform algorithm that improves efficiency and accuracy over previous approaches.

Findings

Requires fewer operations for a given accuracy

Demonstrates superior computational efficiency

Achieves comparable or better accuracy

Abstract

We introduce a new numerical method for the computation of the inverse nonlinear Fourier transform and compare its computational complexity and accuracy to those of other methods available in the literature. For a given accuracy, the proposed method requires the lowest number of operations