光学学报, 2013, 33 (s1): s114005, 网络出版: 2013-06-07  

异常空心光束通过大数值孔径光阑透镜后焦区电场和磁场的相位奇异特性

Phase Singularities of Anomalous Hollow Beams′ Electric and Magnetic Field Focused by a High Numerical Aperture Objective
作者单位
泸州医学院生物医学工程系, 四川 泸州 646000
摘要
运用矢量德拜衍射公式研究了线偏振异常空心高斯光束在大数值孔径光阑透镜后焦区的相位奇异特性。数值分析结果表明,焦区的电场和磁场分量相位奇异特性与截断参数和数值孔径有关。随着截断参数的逐渐变化,焦区的电场和磁场分量的相位奇点会有所移动、分裂和湮灭,且焦平面上的鞍点对和相位奇点对都会随着截断参数的增大而有所靠近,产生亚波长结构。伴随相位奇点,有鞍点的出现且和相位奇点有相似的变化规律,但鞍点对比相应相位奇点对先靠拢而消失。对于相同的截断参数,电场和磁场分量所对应的相位奇点分裂和湮灭所需的截断参数的临界值不同。用计算例对结果做了说明并做了比较。
Abstract
Based on the vectorial Debye diffraction theory and taking linearly polarized anomalous hollow beam as an example, the phase singularities in the focal region are studied. It is found that electric and magnetic phase singularities depend on the truncation parameter and numerical aperture. By varying the truncation parameter, the motion, creation and annihilation of phase singularities of electric and magnetic field take place in the focal region. By companying phase singularities, a pair of saddle points may appear and behave similarly. A pair of saddle points and the corresponding pair of phase singularities approach, and then annihilate each other, which leads to the subwavelength structure. However, the singularities annihilate behind saddle points. There exists the different critical point of truncation parameter, where the creation or annihilation occurs at the same numerical aperture. The results are illustrated and compared by numerical examples.

陈淑琼, 罗亚梅, 唐碧华. 异常空心光束通过大数值孔径光阑透镜后焦区电场和磁场的相位奇异特性[J]. 光学学报, 2013, 33(s1): s114005. Chen Shuqiong, Luo Yamei, Tang Bihua. Phase Singularities of Anomalous Hollow Beams′ Electric and Magnetic Field Focused by a High Numerical Aperture Objective[J]. Acta Optica Sinica, 2013, 33(s1): s114005.

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