基于广义斯涅尔定律的倾斜电极液晶显微物镜

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关键词：液晶透镜；倾斜电极；广义斯涅尔定律;液晶显微物镜 中图分类号： 0753+.2;O436 文献标识码：Adoi：10.37188/CJLCD.2025-0069 CSTR：32172.14.CJLCD.2025-0069

Liquid crystal microscopic objective with inclined electrodes based on the generalized Snell'slaw

WANGKai，ZHANGBaolong，LIDan，MAYufeng，LIZhao （School ofElectronics and Automation， Tianjin University of Science and Technology， Tianjin300457，China）

Abstract：Optical microscope objectives are widely utilized in medical imaging and biological research. However，conventional objectives based on Snell's law face the challenges in miniaturization due to their multi-lens configurations. Metalens technology，grounded in the generalized Snel's law，offers a promising solution. This study derives the ideal refractive index distribution for metalenses by integrating thegeneralized Snel'slaw with the equal optical path principle.Liquid crystal materials，leveraging their electrically controlld birefringence，inherently satisfy this distribution.A refractive index distribution model for liquid crystal lenses is established，accompanied by anovel tilted ITO driving electrode structure. Techwiz LCD 2D simulations demonstrate that under a 7V applied voltage and 20∘ ITO tilt angle，the refractive index profile optimally aligns with the ideal parabolic curve. Zemax-based optical performance analysis reveals that the liquid crystal microscope objective achieves a 50× magnification， 1.584mm focal length，O.l24 numerical aperture，and 2.37μm resolution in the visible spectrum.Spot diagram analysis confirms RMS radii smaller than the Airy disk radius across scenarios，indicating superior energy concentration. MTF curves exhibit values exceeding O.3 from low to high frequencies，meeting standard detector imaging requirements.

Key words： liquid crystallens；inclined electrodes；generalized Snel'slaw; liquid crystal microscopicobjective

1引言

光学显微物镜在生物研究与医学成像[1-2等领域具有广泛应用价值。（剩余12935字）