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In this paper the designs of secondary lenses for LED of reflective and refractive types are proposed for extended sources. The lens surface profile for desired illumination pattern on a screen can be obtained by solving first-order differential equations based on the Snell’s law and the energy conservation. Intensity distributions on a target screen were received by ray tracing using Zemax software. High efficiency ultra-slim lenses with illumination areas exceeding the distance between the LED chip and screen by more than six times are demonstrated for different chip sizes. Aspheric lenticular and two-dimensional microlens arrays are designed using wave-optics and ray-tracing methods. Possibility of development of high resolution and wide viewing angle 3D display based on free-form backlight unit is discussed.
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N. I. Petrov, "Design of free-form surface backlight unit for displays," Proc. SPIE 11062, Digital Optical Technologies 2019, 1106206 (21 June 2019); https://doi.org/10.1117/12.2525859