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Light extraction of internally generated light in LEDs into air has always been a major issue from the early days. The reabsorption of emitted light, long a stumbling block, is now almost always solved by the use of heterostructures. The majority of the internal light undergoes total internal reflection at the materials/air interface due to the large index mismatch. This is mitigated by redirecting light rays by light diffusing/scattering structures situated at interfaces. Powerful simulation techniques exist taking into account the various physical mechanisms into play. The frontier is reaching 95%+ extraction efficiencies which would allow 100%+ LED wall-plug efficiencies
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Claude Weisbuch, Leah Kuritzky, James S. Speck, "Light extraction from LEDs: a long battle (Conference Presentation)," Proc. SPIE 11280, Gallium Nitride Materials and Devices XV, 112800N (10 March 2020); https://doi.org/10.1117/12.2543070