[Poster of]: 40th Topical Meeting on Liquid Crystals, Paderborn from March 20th-22nd, 2013.New analytical expressions for designing liquid crystal microlenses have been proposed. Equations involved, based on a novel equivalent electric circuit, lead to optimum designs of liquid crystal lenses which lens diameter ranges from few micrometers to one millimeter. A particular mathematical relationship between the microlens thickness and diameter is the key parameter to achieving a quasi-parabolic phase distribution across the microlens diameter. Frank-Oseen equations have been used for modeling and solving the problem. A solution for the elastic constants of a hypothetic liquid crystal, proper for a microlens device, is proposed. Manufacturing parameters of the lenses have been designed for fulfilling focal length and diameter requirements. Some of them are the thickness, the electrode configuration, and the driving scheme (modal or hole patterned). A set of liquid crystal microlenses has been manufactured and an electrooptic characterization has been carried out in order to compare the measurements with the analytical approach.This work was supported in part by the “Ministerio de Ciencia e Innovación” of Spain
(grant no.TEC2009-13991-C02-01) and Comunidad de Madrid (grant no. FACTOTEM2
S2009/ESP-1781).No publicad
