拉盖尔－高斯涡旋光束的传输特性研究

摘要

On the basis of Fresnel diffraction theory,the propagation properties of Laguerre-Gaussian vortex beam of any-order in free space were strictly deduced by using the Collins formula. The invariance of the expression form of Laguerre-Gaussian vortex beam of any-order in free space was proved.Only the case of free space propagation of Laguerre-Gaussian vortex beam was conoerned in the paper,nevertheless,the results can be extended to any paraxial optical system. Meanwhile,the phase and intensity distributions of Laguerre-Gaussian vortex beam of different order were numerically simulated.The simulation shows that after propagation,the phase and intensity distributions are both changed.These changes were further analyzed in virtue of the propagation expression.%从菲涅耳衍射理论出发，以自由空间为例，利用柯林斯公式推导出了任意阶拉盖尔－高斯涡旋光束的传播形式，证明了高阶拉盖尔－高斯涡旋光束在自由空间的传播能够保持其自身表达形式的不变性。此研究方法可以拓展到满足傍轴条件的任意光学系统。对不同阶数的拉盖尔－高斯涡旋光束经过传输后的相位和强度分布分别进行了数值模拟，在传输的过程中，光束的等相位线发生了弯曲并且光束发生了扩散，依据传播表达式对其相位和强度的变化规律进行了分析。