Q2. Improving the efficiency of light extraction from a light-emitting diode. Consider a light-emitting diode (LED) cut in the shape of a cube and made up of GaN with a refractive index n = 2.5. The light emission occurs at the centre of the cube such that the light is generated isotropically in all directions inside. The LED is placed in air (n = 1) (see Figure 2 below) (a) Explain why some of the light remains trapped inside the LED cube. Determine the angle of the cone of light rays that emerge from each face.
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