An inverse method for the design of TIR collimators to achieve a uniform color light beam

Phase space diagrams in illumination optics

“…12) (total internal reflection lens) and the LED lighting industry benefits from the achieved high efficiency. However, various studies 2,17,18 show that there are significant differences of both parts in terms of location in the phase space. For a proper representation in a PSD we calculate the angular dependent magnification (Fig.…”

Design and optimization for total internal reflection collimators based on slope-error tolerance analysis

“…Although different structures have been employed in TIR lenses, [4][5][6][7][8][9][10][11] all TIR lenses are designed with mutual groups of surfaces, as shown in Fig. 1.…”

“…2,3 Previous work on TIR lenses has focused on producing novel designs, optimizing performance (in terms of efficiency and viewing angle [4][5][6][7][8] ), achieving a uniform irradiance distribution, [8][9][10] and achieving a uniform color distribution. 11 Optimizations of initial parameters for better efficiency and CLI with different extended light sources were reported by Chen, 12 and the effects of an extended LED light source on the efficiency and CLI of TIR lenses were studied by Chen 12 and Kari et al 3 In fact, there is an extreme of the CLI, as every infinitesimal surface on the exit pupil has no more than a single ray emitting toward the center as a result of luminance conservation and Etendue conservation. In theory, it is not complicated to achieve the maximum CLI by the methods recommended by Parkyn, Shen, and Chen, [13][14][15][16] as each ray from the center of the LED was designed to emit in the collimation direction so that the luminous intensity always reaches the maximum theoretical value for a light source of any size.…”