Wu Zhixiang, Deng Hu, Li Xiaoxia, Liu Quancheng, Shang Liping
Appl Opt. 2020 Sep 10;59(26):7841-7845. doi: 10.1364/AO.397584.
Lenses with two or more foci along the longitudinal direction exhibit immense potential in several optical applications. In this study, we propose an approach for generating subdiffraction longitudinal bifoci by binary-phase bifocal super-oscillatory lenses (SOLs), which are realized by simple AND operation between two single-foci SOLs with different focal lengths. Three bifocal SOLs with =70 are designed at an operating wavelength of =118.8µ. Simulation results demonstrate that the minimum full width at half maximum (FWHM) is 0.397, and the maximum FWHM is 0.449, which is still smaller than the Abbe diffraction limit of 0.510, while all the sidelobe ratios are small (<15.1). By properly choosing the focal length of the single-foci SOLs in the design process, the distance between the two foci can be easily controlled. Significantly, the generated bifoci with relatively uniform intensity contain a strong longitudinal electric field, which indicates their excellent prospects in optical imaging, particle acceleration, and other optical applications. In addition, the proposed bifoci-SOLs are based on the binary phase modulation, which facilitates easy fabrication compared with other approaches. These outstanding properties indicate the wide application prospects of bifocal SOLs.
沿纵向具有两个或更多焦点的透镜在多种光学应用中展现出巨大潜力。在本研究中,我们提出了一种通过二元相位双焦点超振荡透镜(SOLs)产生亚衍射纵向双焦点的方法,该方法通过两个不同焦距的单焦点SOLs之间简单的与运算实现。在工作波长λ = 118.8µ处设计了三个焦距f = 70的双焦点SOLs。模拟结果表明,最小半高宽(FWHM)为0.397,最大FWHM为0.449,仍小于阿贝衍射极限0.510,同时所有旁瓣比都很小(<15.1)。通过在设计过程中适当选择单焦点SOLs的焦距,可以轻松控制两个焦点之间的距离。值得注意的是,所产生的强度相对均匀的双焦点包含很强的纵向电场,这表明它们在光学成像、粒子加速和其他光学应用中具有出色的前景。此外,所提出的双焦点SOLs基于二元相位调制,与其他方法相比便于制造。这些优异特性表明双焦点SOLs具有广阔的应用前景。