光子学报, 2018, 47 (2): 0226002, 网络出版: 2018-01-30
部分相干光产生无衍射Mathieu光束
Mathieu Beam Generated by Partially Coherent Beam
部分相干光 衍射理论 Mathieu光束 傅里叶方法 角谱 Partially coherent beam Diffracting theory Mathieu beam Fourier method Angular spectrum
摘要
基于傅里叶变换下的菲涅尔衍射理论, 对部分相干光产生Mathieu光束进行了理论和实验研究, 并利用抽样理论和色散公式推导出Mathieu光束的光强分布表达式.数值模拟了不同传播距离处Mathieu光束的截面光强分布, 并设计了实验对模拟结论进行验证.实验采用多波长蓝光LED为光源, 利用带有椭圆形孔径的菲林片及轴棱锥得到Mathieu光束.模拟和实验结果均证明部分相干光可以产生Mathieu光束.研究结果对拓展Mathieu光束的应用范围提供了理论依据.
Abstract
The Mathieu beam produced by partially coherent light was studied theoretically and experimentally, based on Fresnel diffraction theory and Fourier transform. The intensity expression of the Mathieu beam was derived with sampling theory and dispersion formula. The section intensity distribution of the Mathieu beam at different propagation distances was simulated. And the experiment was designed to verify the simulation results. We would choose multiwavelength blue LED as the light source in the the experiment. The Mathieu beam would be obtained using a axicon and a film with an elliptical aperture. Both simulated and experimental results show that partially coherent light can produce Mathieu beams. The results provide a theory evidence for extending the application range of Mathieu beam.
冯聪, 王硕琛, 吴逢铁. 部分相干光产生无衍射Mathieu光束[J]. 光子学报, 2018, 47(2): 0226002. FENG Cong, WANG Shuochen, WU Fengtie. Mathieu Beam Generated by Partially Coherent Beam[J]. ACTA PHOTONICA SINICA, 2018, 47(2): 0226002.