洛伦兹光束通过一阶轴对称光学系统的传输变换特性

从广义惠更斯-菲涅耳衍射积分出发,导出了洛伦兹光束通过一阶轴对称光学系统传输变换的解析公式.给出了洛伦兹光束的束宽、瑞利长度和发散角的表达式,讨论了这些参量通过自由空间的变换规律.结果表明,洛伦兹光束的瑞利长度大于高斯光束的瑞利长度,洛伦兹光束光斑半径的扩展速度慢于高斯光束,洛伦兹光束的远场发散角小于高斯光束的远场发散角.结果还表明,自由空间中洛伦兹光束的束宽、瑞利长度和发散角的变化规律与高斯光束相应参量的变化规律相同.

Propagation Properties of Lorentz Beam Passing through First-Order Axisymmetric Optical Systems

Based on the generalized Huygens-Fresnel diffraction integral,the analytic propagation expressions for Lorentz beams passing through first-order axisymmetric optical system are derived.The expressions of the beam-width,Rayleigh distance and divergence angle of Lorentz beam are given,and their transform characteristics in free space are discussed.It is shown that the Rayleigh distance of Lorentz beams is larger than that of Gaussian beam.However,the expansion speed of the beam-width of Lorentz beams is lower than that of Gaussian beams and the far-field divergence angle of Lorentz beams is smaller than that of Gaussian beams.Moreover,the transfrom laws of the above parameters for Lorentz beams are the same as those for Gaussian beams passing through free space.