A low-aberration hole-patterned-electrodes (HPE) liquid crystal (LC) lens with positive and negative focal lengths is demonstrated in this Letter by using four hybrid-aligned nematic LC layers filled with dual-frequency LC materials. The diopter can be controlled from the positive lens ( 0 D ∼ 1.1 D ) to the negative lens ( 0 D ∼ − 1.25 D ). The aberration is analyzed using the Zernike polynomial, and the wavefront optical path difference is improved from 2 λ for the conventional one-layer HPE LC lens to less than 0.25 λ for our proposed LC lens. The proposed LC lens does not require the use of a polarizer, increasing the optical efficiency two times compared with the conventional LC lens.
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