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中国物理学会期刊

强场非线性康普顿散射的角分辨辐射谱

CSTR: 32037.14.aps.75.20251784

Investigation of angle-resolved radiation spectra of strong-field nonlinear Compton scattering

CSTR: 32037.14.aps.75.20251784
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  • 基于强场量子电动力学, 系统研究了电子与超短激光脉冲非线性康普顿散射的光子辐射谱角分布. 分别就辐射光子总能量、特定辐射光子能量以及特定辐射谐波阶次三种情况, 详细分析了光子辐射谱随极角和方位角的变化关系. 激光场中电子的运动可近似分解为沿初始入射方向的匀速直线运动和激光场驱动下的横向简谐振动, 其中横向简谐振动导致电子朝特定方向进行多次辐射, 这些辐射相互干涉在辐射谱中形成了复杂的干涉条纹. 通过解析求解电子与单色平面波散射模型, 确定了辐射谱中干涉条纹对应的谐波阶次. 分析表明, 横向简谐振动主导了谐波辐射角分布的精细结构, 而匀速直线运动则决定了辐射的主要方向. 通过经典电磁场理论多极辐射模型, 发现各阶谐波辐射角分布中节点数目等于谐波阶次减一的物理规律, 揭示了电子在激光场中的横向振动与初始匀速运动对辐射角分布的叠加调制效应. 本文研究结果有助于深入理解强激光场中非线性康普顿散射的辐射谱角分布特性, 为相关高亮度辐射源实验与新型相干光源开发提供理论参考.

     

    We investigate the angular distribution of the photon emission spectra in the nonlinear Compton scattering of electron driven by an ultrashort intense laser pulse. Within the framework of strong-field quantum electrodynamics theory, we numerically calculate the photon emission spectrum and analyze its angular dependence on the polar and azimuthal angles under three different conditions: the total photon energy, fixed photon energy, and fixed harmonic order. Our analysis reveals that the complex interference patterns originate from the electron’s motion, which can be decomposed into a constant-velocity motion along the initial incident direction and a laser-driven transverse harmonic oscillation. The constant-velocity motion determines an overall emission cone, focusing the radiation into the electron forward direction, and the transverse oscillation governs the interference fine structures in the spectra. Our key finding is that the number of nodes in the angular distribution of the th-order harmonic photon emission is – 1. To elucidate this pattern, we introduce a redefined spherical coordinate system where the polar axis is aligned with the laser polarization (i.e., the electron oscillation direction). In this coordinate frame, the radiation spectra for different harmonic orders are presented in Figure for = 1, 2, 3, and 8. These plots clearly show that the -th harmonic possesses exactly – 1 nodes in its angular distribution, i.e., zero for = 1, one for = 2, two for = 3, and seven for = 8. We explain this structure using multipole radiation theory, based on the classical formula \mathrmdP/\mathrmd \varOmega \propto \sin2\theta'P'_\ell (\cos \theta')2, in which P'_\ell denotes the derivative of the -th Legendre polynomial. This formula precisely predicts – 1 nodes in the angular profile. Thus, the observed – 1 node rule is in full agreement with multipole radiation theory. Our work exhibits how the combined effect of the electron’s initial constant-velocity motion and laser-driven oscillatory motions shapes the angular profile of nonlinear Compton radiation. Our results provide fundamental insights for understanding high-harmonic generation in strong-field physics and for designing new advanced light sources with tailored photon energy and angular properties.

     

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