拉盖尔-高斯光束在电子薄片上的相干非线性汤姆逊散射
Coherent nonlinear Thomson scattering of Laguerre-Gauss beams on an electron sheet
AI总结：
本文研究拉盖尔-高斯光束在电子薄片上的相干非线性汤姆逊散射，通过局域平面波近似和相干叠加分析散射场的空间螺旋结构，揭示谐波阶数与螺旋指数的关系，并与产生OAM光子的实验结果一致。
摘要：
我们研究了一束单色螺旋激光束在电子薄片上的散射，该激光束由麦克斯韦方程组的拉盖尔-高斯解描述，电子薄片初始静止于激光焦平面内；相互作用在局域平面波近似框架下描述。我们通过相干叠加电子薄片中每个电子的贡献，计算了在距激光焦斑很远的任意点观测到的散射电磁场。由于干涉效应，辐射仅沿前向在一个窄锥内发射，并且具有我们从理论和数值上分析的空间结构。对于圆偏振入射场，该结构也是螺旋形的，其螺旋指数取决于入射辐射的螺旋指数和谐波阶数。这些结构可以在实验上观测到，因为每个谐波阶数以不同频率发射，并且处于不同张角的锥内。我们的发现与文献中展示通过电子上的辐射散射产生携带轨道角动量（OAM）光子的实验结果一致。
英文摘要：
We present a study of the scattering of a monochromatic helical laser beam, described by a Laguerre-Gauss solution of the Maxwell equations, on an electron sheet, initially at rest in the focal plane of the laser; the interaction is described in the framework of a local plane wave approximation. We calculate the scattered electromagnetic field observed in an arbitrary point at a large distance from the laser focal spot, by adding coherently the contributions of each electron in the electron sheet. Due to the interference effects, the radiation is emitted only into the forward direction, within a narrow cone, and it has a spatial structure that we analyze theoretically and numerically. For circularly polarized incident fields, the structure is also helical, with a helical index which depends on the helical index of the incident radiation and the harmonic order. These structures can be observed experimentally, as each harmonic order is emitted with a different frequency, and within cones of different opening angles. Our findings are in agreement with experimental results in the literature which demonstrate the generation of OAM carrying photons by radiation scattering on electrons.
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