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Abstract <p>The present study focuses on third harmonic generation (THG) of cosh-Gaussian laser beam propagating through unmagnetized plasma, taking in to account joint influence of relativistic and ponderomotive (RP) nonlinearities. The joint action of RP force drives electron redistribution, resulting in plasma density fluctuations, which in turn excite electron plasma waves (EPW) at twice the fundamental frequency through <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{\vec {\text{V}}}} \times {{\vec {\text{B}}}}\)</EquationSource> <!--JETP2560209Walia-m1--> </InlineEquation> force. The nonlinear coupling of excited EPW with fundamental beam produces THG. A nonlinear differential equation governing evolution of beam waist of fundamental beam along with expression for third harmonic conversion efficiency are derived by using WKB approximation in conjugation with paraxial theory. The study further explores influence of laser and plasma parameters as well as RP force on self-focusing behavior of fundamental beam and THG conversion efficiency, providing comprehensive insight in to nonlinear laser plasma interaction for structured cosh-Gaussian beams.</p>

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Third Harmonic Generation of Cosh-Gaussian Laser Beam in Unmagnetized Plasma: Role of Relativistic and Ponderomotive Nonlinearity

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • Keshav Walia,
  • Taranjot Singh

摘要

Abstract

The present study focuses on third harmonic generation (THG) of cosh-Gaussian laser beam propagating through unmagnetized plasma, taking in to account joint influence of relativistic and ponderomotive (RP) nonlinearities. The joint action of RP force drives electron redistribution, resulting in plasma density fluctuations, which in turn excite electron plasma waves (EPW) at twice the fundamental frequency through \({{\vec {\text{V}}}} \times {{\vec {\text{B}}}}\) force. The nonlinear coupling of excited EPW with fundamental beam produces THG. A nonlinear differential equation governing evolution of beam waist of fundamental beam along with expression for third harmonic conversion efficiency are derived by using WKB approximation in conjugation with paraxial theory. The study further explores influence of laser and plasma parameters as well as RP force on self-focusing behavior of fundamental beam and THG conversion efficiency, providing comprehensive insight in to nonlinear laser plasma interaction for structured cosh-Gaussian beams.