双焦透镜对Bessel光束传输的影响  

Effect of bifocal lens on propagation of Bessel beam

作　　者：谢晓霞[1] 吴逢铁[1] 李冬[1] 

机构地区：[1]华侨大学信息科学与工程学院,福建省光传输与变换重点实验室,厦门361021

出　　处：《物理学报》2014年第18期25-31,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61178015);福建省自然科学基金(批准号:2012J01278);泉州市科技重点项目(批准号:20142127)资助的课题~~

摘　　要：研究非轴对称象散光学元件双焦透镜对无衍射Bemel光束的聚焦特性.基于空间域中的广义惠更斯.菲涅耳衍射理论衍射积分,用4×4阶矩阵来描述非轴对称光学系统,导出Bessel光通过双焦透镜更为普遍和广义的光强分布表达式,并对其光强进行数值模拟.分析双焦透镜在x,y面上的焦距取不同值时对Bessel光的影响.导出的广义光强分布表达式包括了普通透镜、双焦透镜和柱透镜的所有情况.研究发现,当象散越大,图形畸变程度越大,导致得到的光学bottle beam的光束质量下降,bottle壁变形,囚禁微观粒子的能力也随之下降.In this paper, we study the influence of the bifocal lens on the focusing properties of Bessel beam. Based on the generalized Huygens-Fresnel diffraction integral, a more general expression of the light intensity distribution of nonsymmetrical optical system which is described by 4 × 4 matrix is deduced. The optical field distribution of Bessel beam passing through bifocal lens is given and simulated numerically. The influence of the focal length of the bifocal lens on Bessel beam is analyzed in detail. The generalized expression of the light intensity distribution can involve three cases, i.e., ordinary lens, bifocal lens and cylindrical lens. The greater the astigmation, the poorer the bottle beam quality will be. The ability to imprison microscopic particles decreases.

关 键 词：BESSEL光束 衍射理论 双焦透镜 象散 

分 类 号：O435[机械工程—光学工程]