Ultrahigh Numerical Aperture Metalens at Visible Wavelengths

Металинза со сверхвысокой числовой апертурой в видимом диапазоне длин волн
Haowen Liang, Qiaoling Lin, Xiangsheng Xie, Qian Sun, Yin Wang, Lidan Zhou, Lin Liu, Xiangyang Yu, Jianying Zhou, Thomas F. Krauss, Juntao Li
2018-06-25

Pancharatnam–Berry phasecrystalline siliconhybrid optimization algorithmultrahigh-NA metalensvisible wavelengths
Subwavelength imaging requires the use of high numerical aperture (NA) lenses together with immersion liquids in order to achieve the highest possible resolution. Following exciting recent developments in metasurfaces that have achieved efficient focusing and novel beam-shaping, the race is on to demonstrate ultrahigh-NA metalenses. The highest NA that has been demonstrated so far is NA = 1.1, achieved with a TiO 2 metalens and back-immersion. Here, we introduce and demonstrate a metalens with a high NA and high transmission in the visible range, based on crystalline silicon (c-Si). The higher refractive index of silicon compared to TiO 2 allows us to push the NA further. The design uses the geometric phase approach also known as the Pancharatnam–Berry (P–B) phase, and we determine the arrangement of nanobricks using a hybrid optimization algorithm (HOA). We demonstrate a metalens with NA = 0.98 in air, a bandwidth (full width at half-maximum, fwhm) of 274 nm, and a focusing efficiency of 67% at 532 nm wavelength, which is close to the transmission performance of a TiO 2 metalens. Moreover, and uniquely so, our metalens can be front-immersed into immersion oil and achieve an ultrahigh NA of 1.48 experimentally and 1.73 theoretically, thereby demonstrating the highest NA of any metalens in the visible regime reported to the best of our knowledge. The fabricating process is fully compatible with microelectronic technology and therefore scalable. We envision the front-immersion design to be beneficial for achieving ultrahigh-NA metalenses as well as immersion metalens doublets, thereby pushing metasurfaces into practical applications such as high resolution, low-cost confocal microscopy and achromatic lenses.
1
A crystalline-silicon metalens achieves NA = 0.98 in air across the visible spectrum.
2
Front immersion in oil experimentally increases the metalens numerical aperture to 1.48, with a theoretical maximum of 1.73.
3
The design combines Pancharatnam–Berry geometric phase nanobricks optimized using a hybrid algorithm and uses a scalable microelectronics-compatible fabrication process.
4
The metalens provides a 274 nm full-width-at-half-maximum bandwidth and 67% focusing efficiency at 532 nm.
5
This represents the highest reported numerical aperture for a visible-wavelength metalens according to the abstract.

A crystalline-silicon (c-Si) metalens operating at visible wavelengths, including under air and front-immersion-oil conditions

Its ultrahigh numerical-aperture focusing performance, transmission, bandwidth, and focusing efficiency

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2018-06-25
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Haowen Liang
Qiaoling Lin
Xiangsheng Xie
Qian Sun
Yin Wang
Lidan Zhou
Lin Liu
Xiangyang Yu
Jianying Zhou
Thomas F. Krauss
Juntao Li
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