We present a theoretical modeling of a cylindrical tunable liquid crystal lens based on the modulation of the anchoring energy. This latter can be easily obtained by means of photoaligning techniques. The liquid crystal cell we propose exhibits strong anchoring at the top substrate and an anchoring energy with parabolic profile at the bottom substrate. The model describes the dependence of the focal length on the applied voltage and presents a theoretical study of lens aberrations. The results obtained are of general relevance and can be used to optimize the performances of every kind of liquid crystal lens with parabolic profile.
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