光束通过含环形光阑的光学系统的传输特性研究

Propagation characteristics of beam passing through optical system with annular diaphragm

摘要: 采用将环形光阑的窗口函数展开的傅里叶级数与复高斯函数的乘积的方法，推导出平面波经过含环形光阑光学系统的近似解析传输公式。利用该公式对光束通过含环形光阑的光学系统的传输进行了数值模拟，计算并分析了不同遮拦比下轴上光强分布和横向光强分布的特点。结果表明：轴上光强分布和横向光强分布与环形光阑的遮拦比有关。该研究方法和结果可推广到其他光阑，对控制光束和光学系统设计具有一定的参考价值。

Abstract: An approximately analytical propagation formula of plane wave passing through a system with annular diaphragm was derived with the method of expanding the window function of the annular diaphragm into the product of Fourier series and complex Gaussian functions. The beam propagation through the optical system with the annular diaphragm was numerically simulated with the formula. On-axial and transverse intensity distribution is calculated and analyzed. The numerical simulation results show that the intensity distribution is related to the obstruction ratio of the annular diaphragm.