螺旋马丢高斯光束的非傍轴传输研究

On Non-paraxial Transmission of Helical-Mathieu Beam

根据光束传输的独立性和叠加性原理,利用虚源法计算推导出螺旋马丢高斯光束传输的积分表达式,模拟一种螺旋马丢光束的轴上非傍轴光场分布,得到螺旋马丢高斯光束保留到第三阶的非旁轴修正项,并与傍轴近似结果做对比分析.模拟结果表明,螺旋马丢高斯光束在近距离范围内,非傍轴修正值与傍轴近似值相差较大,但随着传输距离的增加,两者越来越接近.这是通过简单函数叠加来实现对复杂光束研究的方法,在光束传输和光场调制等方面有一定的研究意义.

By using the virtual source method,the expression of the on-axis optical field intensity of the spiral Martial beam is obtained.Based on the expression,the on-axis optical field distribution of a Helcia-Mathieu beam is simulated and the third order non-by-axis amendments of the Helcia-Mathieu beam is obtained,which is also compared with the on-axis optical field distribution with the approximate results of the axis of a Helcia-Mathieu beam.The simulation result shows that the non-paraxial correction value differs greatly from that of paraxial approximation in the close range,but the two become closer and closer as the transmission distance increases.This study realizes complex beam by simple function superposition,which has significance in research of beam transmission and light field modulation.