Scholarlink

<p>This study provides a detailed and quantitative analysis of the intrinsic inversion dynamics of truncated Airy pulses (TAPs) in homogeneous dispersive and nonlinear waveguides. We demonstrate that the interaction between third-order dispersion (TOD) and fourth-order dispersion (FOD) gives rise to a hysteresis-like focusing area (FA) characterized by two distinct intensity maxima, whose relative positions, compression, and asymmetry are systematically quantified using four-parameter logistic (4PL) functions. This approach enables a precise characterization of inversion-induced compression and amplification that was not addressed in earlier regeneration-based studies. We further show that Kerr nonlinearity fundamentally alters the inversion dynamics, suppressing the hysteresis structure and driving the system toward quartic soliton and pure quartic soliton regimes, depending on the residual TOD and the sign of the FOD. These results establish asymmetric Airy pulse inversion as a distinct physical phenomenon rather than a byproduct of dispersion-managed regeneration, and provide new tools for pulse shaping and nonlinear photonic control.</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

Hysteresis shape-like of the Airy pulse focusing area during its inversion induced by quartic dispersion

  • 期刊论文

  • 发表日期：

    2026年3月1日

查看全文
  • Lucien Mandeng Mandeng,
  • Clément Tchawoua

摘要

This study provides a detailed and quantitative analysis of the intrinsic inversion dynamics of truncated Airy pulses (TAPs) in homogeneous dispersive and nonlinear waveguides. We demonstrate that the interaction between third-order dispersion (TOD) and fourth-order dispersion (FOD) gives rise to a hysteresis-like focusing area (FA) characterized by two distinct intensity maxima, whose relative positions, compression, and asymmetry are systematically quantified using four-parameter logistic (4PL) functions. This approach enables a precise characterization of inversion-induced compression and amplification that was not addressed in earlier regeneration-based studies. We further show that Kerr nonlinearity fundamentally alters the inversion dynamics, suppressing the hysteresis structure and driving the system toward quartic soliton and pure quartic soliton regimes, depending on the residual TOD and the sign of the FOD. These results establish asymmetric Airy pulse inversion as a distinct physical phenomenon rather than a byproduct of dispersion-managed regeneration, and provide new tools for pulse shaping and nonlinear photonic control.