基于菲涅耳衍射理论，硬边孔径的复高斯函数展开法及稳相法研究了椭圆孔径与轴棱锥系统的光束传输特性，推导出了高斯平面波经轴棱锥衍射后产生的无衍射光场的表达式，数值模拟了不同传播距离处的截面光强分布，并设计了实验进行验证。用电荷耦合器件(CCD)拍摄得到不同传播距离处的光强分布。实验和模拟结果均表明平面波经椭圆孔径和轴棱锥系统后可获得具有马丢光束特征的带状无衍射光束。研究结果对无衍射光束在光学无损检测、条码扫描等应用上具有重要的指导作用。

The beam transmission characteristics of elliptical aperture and axicon system are studied based on the Fresnel diffraction theory, complex Gaussian function expansion and stationary phase method of hard-edged aperture. The formula of non-diffracting optical fields after Gauss plane wave propagating through the axicon is deduced, the transverse intensity distributions of the beam in different propagation distances are numerical simulated and the experimental verification is also carried out. The intensity distributions in different propagation distances are captured by a charge coupled device (CCD) camera. The experimental results and numerical simulation all suggest that plane wave passing through a optical system with an elliptical aperture and axicon can obtain the qausi-non-diffracting beam which has similar characteristics to Mathieu beam. This result has guiding function in the application of optical nondestructive testing and barcode scanning.