A split-step quasi-discrete Hankel transform for (2+1) D nonlinear self-focusing dynamics

Abstract

In this paper, a split-step quasi-discrete Hankel transform (SSQDHT) model is presented to numerically study the (2+1) D nonlinear self-focusing dynamics ( NSSDs). The quasi-discrete Hankel transform (QDHT) runs very fast and has high precision?and the accuracy is greatly improved by modifying the parameter S. The NSSDs of beams vary with differing noises, chirps, and separation distances by SSQDHT. The results indicate a beam can be accurately tracked much closer to its (2+1) D NSSDs via SSQDHT.