脉冲宽度对施加磁场中电子非线性汤姆逊散射的影响
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南京邮电大学

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O436

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


The Influence of Pulse Width on the Nonlinear Thomson Scattering of Electrons in an Applied Magnetic Field
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Nanjing University of Posts and Telecommunications

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The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    针对非线性汤姆逊散射中电子轨迹不稳定、辐射准直性差及高次谐波能量利用率低的问题,本文在施加随横向坐标变化的空间非均匀磁场条件下,研究了不同脉冲宽度的紧聚焦圆偏振超短超强激光脉冲对电子辐射特性的调节作用。采用MATLAB平台,数值积分归一化洛伦兹方程获得电子在紧聚焦圆偏振超短超强激光脉冲与位置相关磁场耦合作用下的运动轨迹,并结合拉莫尔辐射功率公式和快速傅里叶变换,分析不同脉冲宽度L对电子空间辐射分布、最大辐射功率角度及辐射频谱的影响规律。结果表明,非均匀磁场可显著抑制电子径向发散,使其轨迹逐渐稳定并呈柱状螺旋结构;随着脉冲宽度增大,辐射角分布由涡旋状逐步转变为准直锥形分布,当L=5λ0时辐射准直性与高次谐波能量最优,最大辐射功率角趋于3.5°并实现光谱展宽至3000ω0;而过大的脉冲宽度会引入不对称分布导致谐波能量下降。研究结果表明,在空间非均匀磁场存在下合理选择脉冲宽度可实现更优的X射线辐射调制,为高次谐波光源的优化设计提供理论参考。

    Abstract:

    To address the issues of unstable electron trajectories, poor radiation collimation, and low high-harmonic energy utilization in nonlinear Thomson scattering, this work investigates the modulation effects of tightly focused, circularly polarized, ultra-intense, ultrashort laser pulses with different pulse durations under a spatially nonuniform magnetic field varying with the transverse coordinate. The normalized Lorentz equations are numerically integrated on the MATLAB platform to obtain the three-dimensional electron dynamics, while the spatial radiation distribution, maximum radiation power angle, and radiation spectra are analyzed by combining the Larmor radiation power formula with the fast Fourier transform (FFT). Results show that the nonuniform magnetic field effectively suppresses the radial divergence of electrons, leading to stabilized trajectories that evolve into columnar helical structures. As the laser pulse duration increases, the radiation angular distribution gradually transitions from a vortex-like pattern to a highly collimated conical shape. When the pulse duration is L=5λ0, both radiation collimation and high-order harmonic energy reach their optimum, with the maximum radiation power angle stabilized at approximately 3.5° and the spectral bandwidth extending to 3000ω0. However, excessively long pulse durations introduce asymmetric distributions that reduce harmonic energy. These findings demonstrate that an appropriate choice of pulse duration, in the presence of a spatially nonuniform magnetic field, can achieve highly collimated and high-energy X-ray radiation modulation, providing theoretical guidance for the optimization of high-harmonic radiation sources.

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  • 收稿日期:2025-05-14
  • 最后修改日期:2025-07-22
  • 录用日期:2025-08-13
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