光子学报, 2016, 45 (2): 0226002, 网络出版: 2016-04-01
无衍射Mathieu光束经轴棱锥的聚焦特性
The Focusing Characteristics of Mathieu Beam Propagating through Axicon
物理光学 周期Mathieu光束 稳相法 衍射理论 轴棱锥 Mathieu Hankel波理论 Physical optics Periodic Mathieu beam Method of stationary phase Diffraction theory Axicon Mathieu Hankel wave's theory
摘要
基于MathieuHankel波理论分析了Mathieu光束经轴棱锥后的聚焦特性,并利用菲涅尔衍射积分理论及稳相法, 推导出Mathieu光束经轴棱锥后的准确解析表达式.数值模拟了无衍射Mathieu光束经轴棱锥线性聚焦后的光场在不同传播距离处的截面光强分布及轴上光强分布.理论分析及数值模拟均表明无衍射Mathieu光束经轴棱锥聚焦后会产生周期性Mathieu光束.研究结果对扩展Mathieu光束的应用范围提供了理论依据.
Abstract
Based on the MathieuHankel wave′s theory, the focusing characteristics of Mathieu beam propagating through axicon was analyzed .By Fresnel diffraction theory and the method of stationary phase, the optical fields′ formula of Mathieu beam propagating through the axicon was deduced, the transverse intensity distribution in difference propagation distances was numerical simulated. The theoretical analysis and numerical simulation both show that the Mathieu beam passing through axicon can generate periodic Mathieu beam. This result has provided a theoretical basis in application of Mathieu beam.
谢晓霞, 纪佳位, 王硕琛, 吴逢铁. 无衍射Mathieu光束经轴棱锥的聚焦特性[J]. 光子学报, 2016, 45(2): 0226002. XIE Xiaoxia, JI Jiawei, WANG Shuochen, WU Fengtie. The Focusing Characteristics of Mathieu Beam Propagating through Axicon[J]. ACTA PHOTONICA SINICA, 2016, 45(2): 0226002.