Scholarlink

<p>This study delves into the unstable dynamics of hollow Gaussian beams (HGBs) as they propagate through a nonlinear medium. Our analysis is grounded in the nonlinear (3+1) dimensional Schrödinger equation, which accounts for both cubic and quintic nonlinear effects. By conducting a linear stability analysis, we investigate the modulation instability (MI) and splitting behavior of HGBs as a function of input optical power. Our research reveals that the unstable dynamics of HGBs lead to the formation of annular optical filaments. These filaments emerge as a result of the splitting of the HGB, which is driven by MI. Numerical simulations are employed to explore this phenomenon in detail, providing valuable insights into the complex interplay between nonlinearity, instability, and beam dynamics.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Modulation instability-induced splitting dynamics of hollow Gaussian beams

  • 期刊论文

  • 发表日期：

    2025年3月28日

查看全文
  • Mir Asma,
  • A. K. Shafeeque Ali,
  • F. Mallawi,
  • Fouad A Abolaban

摘要

This study delves into the unstable dynamics of hollow Gaussian beams (HGBs) as they propagate through a nonlinear medium. Our analysis is grounded in the nonlinear (3+1) dimensional Schrödinger equation, which accounts for both cubic and quintic nonlinear effects. By conducting a linear stability analysis, we investigate the modulation instability (MI) and splitting behavior of HGBs as a function of input optical power. Our research reveals that the unstable dynamics of HGBs lead to the formation of annular optical filaments. These filaments emerge as a result of the splitting of the HGB, which is driven by MI. Numerical simulations are employed to explore this phenomenon in detail, providing valuable insights into the complex interplay between nonlinearity, instability, and beam dynamics.