Radiation patterns of the HE11 mode and Gaussian approximations
Radiation patterns of the HE11 mode and Gaussian approximations
复制标题
HE11 模式和高斯近似的辐射图
DOI：
10.1007/bf01009329
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
J. P. Crenn
中科院分区：
文献类型：
--
作者：
L. Rebuffi;J. P. Crenn
讨论了用高斯分布近似He11辐射方向图的问题。对HE11远场理论图样与艾布拉姆斯和克伦的高斯近似进行了数值比较，并对这些近似的精度进行了评估。计算了一种新的优化的He11高斯近似：对于束腰半径，ro=0.421a(或wo=0.596a)给出了远场最佳的HE11高斯近似，与Crenn给出的结果非常接近，而Abrams值的精度较低。将计算推广到近场。给出了HE11辐射模的强度、幅度和功率分布的通用曲线。这些结果对激光波导应用和等离子体ECRH传输系统具有重要意义。
The problem of the approximation of the HE11 radiation pattern by a Gaussian distribution is discussed. A numerical comparison between the HE11 far-field theoretical pattern, and the Gaussian approximations derived by Abrams and by Crenn, permits and evaluation of the precision of these approximations. A new optimized HE11 Gaussian approximation is calculated: the value of ro=0.421a (or wo=0.596a) for the beam radius at the waist is demonstrated to give the best HE11 Gaussian approximation in the far-field and is very close to the result given by Crenn, while the Abrams value is less precise. The calculations are extended to the near-field. Universal curves for intensity, amplitude and power distribution are given for the HE11 radiated mode. These results are of interest for laser waveguide applications and for plasma ECRH transmission systems.