For a wide application area, LEDs are always with secondary optic elements for a specific characteristic. However, the
secondary optic element has two serious phenomena, die-imaging and yellow hue. In this literature, we study the two
phenomena in two parts. The first part focuses on the relationship between the die-imaging phenomenon and the imaging
power of TIR lens. In this part, we design two TIR lenses, point-to-point and point-to-plane, with difference imaging
power and analysis the ray paths. The second part focuses on the simulation of white LED with the two different TIR
lenses to study yellow hue phenomenon. Based on the color difference in CIE (u', v') picture, we get the relationship
between refractive power and color shift. Finally, we adopt the MacAdam ellipsis system to define the reasonable color
gamut.
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