圆柱偏振贝塞耳-高斯光束经高数值孔径透镜的聚焦  

Focusing of Cylindrically Polarized Bessel-Gaussian Beams through a High Numerical-Aperture Lens

作　　者：张志明[1] 蒲继雄[2] 王喜庆[1] 

机构地区：[1]西南交通大学理学院物理系,四川成都610031 [2]华侨大学电子科学与技术系,福建泉州362021

出　　处：《中国激光》2008年第3期401-405,共5页Chinese Journal of Lasers

基　　金：国家自然科学基金(60477041);福建省科技计划重点项目(2007H0027)资助课题

摘　　要：利用里查德-沃耳夫(Richards-Wolf)矢量衍射积分模型,推导了圆柱偏振贝塞耳-高斯(CPBG)光束经高数值孔径透镜聚焦的光场表达式,并用数值计算分析了各相关参数的取值变化对焦面及焦点附近光强分布的影响。研究表明,焦面光强大小及光强剖面形状与贝塞耳函数项相关参数β,偏振旋转角0,光束束腰宽度w0和数值孔径角α的取值相关。通过控制各相关参数的取值,在聚焦场中获得了有广泛实际应用的具有涡旋性质的局域空心光束和平顶光束。The light field expressions of cylindrically polarized Bessel-Gaussian （CPBG） beams focused by a high numerical-aperture lens are derived using Richards-Wolf vectorial diffraction method. Numerical calculations are taken to analyze the influences of varying values of the parameters on the light intensity distribution at the focal plane and in the vicinity of focus. The research results show that both the intensity at the focal plane and its profile shape depend on the values of parameter β corresponding to Bessel function, polarization rotation angle Ф0, beam waist width w0 and the maximal angle a determined by the numerical-aperture. By adjusting the values of corresponding parameters, the bottle beams and the flat topped beams which possess the characteristics of vortex are obtained and will have many significant applications.

关 键 词：非线性光学 高数值孔径 贝塞耳-高斯光束 里查德-沃耳夫矢量衍射积分 圆柱偏振 涡旋 

分 类 号：O436.3[机械工程—光学工程]