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<p>The paper presents analytical and numerical study of the soliton regime of two-color laser radiation propagation in a&#xa0;medium with quadratic and cubic nonlinearity, based on coupled Schrödinger equations for slowly varying amplitudes. By means of the multiple-scale method, we derive an approximate analytical solution for the considered soliton propagation regime. We show that, far from phase matching, self-action of the waves can lead to the realization of a&#xa0;soliton regime without predominant concentration of energy in one of the waves. We have verified the derived analytical solutions in a&#xa0;computer experiment based on a&#xa0;conservative finite-difference scheme. We discovered the persistence of the soliton regime of two-color laser radiation along a&#xa0;certain propagation distance, at the end of which the soliton regime decays. As a&#xa0;result of the soliton regime decay, almost 100 percent of the second harmonic energy converts into the energy of the fundamental wave, with formation of two diverging soliton-shaped subpulses of the fundamental wave.</p>

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Approximate Soliton Solutions to the Problem of Two-Color Laser Radiation Propagation in a Medium with Combined Nonlinearity

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • T. M. Lysak,
  • N. V. Peskov

摘要

The paper presents analytical and numerical study of the soliton regime of two-color laser radiation propagation in a medium with quadratic and cubic nonlinearity, based on coupled Schrödinger equations for slowly varying amplitudes. By means of the multiple-scale method, we derive an approximate analytical solution for the considered soliton propagation regime. We show that, far from phase matching, self-action of the waves can lead to the realization of a soliton regime without predominant concentration of energy in one of the waves. We have verified the derived analytical solutions in a computer experiment based on a conservative finite-difference scheme. We discovered the persistence of the soliton regime of two-color laser radiation along a certain propagation distance, at the end of which the soliton regime decays. As a result of the soliton regime decay, almost 100 percent of the second harmonic energy converts into the energy of the fundamental wave, with formation of two diverging soliton-shaped subpulses of the fundamental wave.