中国激光, 2006, 33 (6): 809, 网络出版: 2006-06-13
轴棱锥非圆对称加工误差对贝塞耳光束质量的影响
Influence of Manufacture Error with Non-Circular Symmetry in an Axicon on the Bessel Beams Quality
激光光学 轴棱锥 贝塞耳光束 非圆对称加工误差 光束质量 laser optics axicon Bessel beam manufacture error with non-circular symmetry beam quality
摘要
在惠更斯-菲涅耳衍射积分理论和稳相法的基础上, 分析了轴棱锥非圆对称加工误差对其所产生的零阶贝塞耳光束(J0光束)质量的影响, 对CCD拍摄的贝塞耳光斑图样进行了数值模拟。计算结果指出,当轴棱锥的截面为圆对称的理想加工时, 轴棱锥产生的光场分布为近似理想的零阶贝塞耳光。当存在非圆对称加工误差, 且截面为椭圆形时, 衍射光斑将偏离J0光. 随着椭圆半长短轴之差的增大, 偏离程度增大。实验结果和理论模拟吻合得很好。
Abstract
Based on Huygens-Fresnel diffraction integral theory and stationary phase method, the influence of the axicon with non-circular symmetry manufacture error on the zeroth order Bessel beam (J0 beam) is analyzed. The numerical simulation is compared with the beam patterns photographed by a charge coupled device (CCD) camera. Results show that if the cross-section of the axicon is ideally manufactured in circular symmetry, the field distribution behind the axicon is approximately an ideal Bessel beam. But if non-circular symmetry manufacture error exists, with the cross-section as an oval, the diffraction beam patterns will deviate the J0 beam. The greater is the difference between elliptical semimajor axis and semiminor axis, the larger is the deviation from the J0 beam. The experimental results fit the theoretical simulation very well.
曾夏辉, 吴逢铁, 邢笑雪, 张建荣. 轴棱锥非圆对称加工误差对贝塞耳光束质量的影响[J]. 中国激光, 2006, 33(6): 809. 曾夏辉, 吴逢铁, 邢笑雪, 张建荣. Influence of Manufacture Error with Non-Circular Symmetry in an Axicon on the Bessel Beams Quality[J]. Chinese Journal of Lasers, 2006, 33(6): 809.