CAJ | 학술논문

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。
종비열이연사이론출발，이자유공간위례，이용가림사공식추도출료임의계랍개이－고사와선광속적전파형식，증명료고계랍개이－고사와선광속재자유공간적전파능구보지기자신표체형식적불변성。차연구방법가이탁전도만족방축조건적임의광학계통。대불동계수적랍개이－고사와선광속경과전수후적상위화강도분포분별진행료수치모의，재전수적과정중，광속적등상위선발생료만곡병차광속발생료확산，의거전파표체식대기상위화강도적변화규률진행료분석。
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.