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p-type doping concentrations: 1 ×1018cm-3 for 0.5 × 10-2 cm2 Ω ρc,p−GaN 增加可以減少熱的產生 Fig.6 Calculated light emission patterns according to the contact resistance ρc,p−GaN of the p-type GaN layer. ρc,p−GaN are (a) 0.1 × 10−2 Ω cm2, (b) 0.5 × 10−2 Ω cm2, and (c) 1.0 × 10−2 Ω cm2, respectively. Simulation Fig.7 Light intensity distributions calculated at the top surfaces of LEDs for different electrode patterns. (a) Bar-shaped pattern. (b) U-shaped Fig.8 Measured light intensity distributions on pattern. the top surfaces of LEDs for different electrode patterns by optical microscopes. (c) and (d) show the signal processed data of (a) and (b), respectively, to see the light intensity distribution more clearly. 3.14V 3.27V Fig.9Measured I–V curves for the two different electrode patterns shown in Fig. 8(a) and (b). Fig.10 Measured light output L–I curves for the two different electrode patterns shown in Fig. 8(a) and (b). Fig.11 Measured I–V curves for the two different electrode patterns before and after the current injection of 400 mA for 5 min. Fig.12 Degradation of output powers before and after the current injection of 400 mA for 5 min. Fig.13 (a) Measured photograph of an ESD-damaged LED chip. Simulated results of (b) current distribution in the TME layer. (c) Current flow at A–A’ cross sectional view. (d) Current distribution in the n-GaN buffer layer. Conclusion •We have proposed a new method analyzing the 3-D current spreading in LED chips and developed a design software tool. •We confirmed that the distribution of the experimental light intensity and the ESD-induced surface defects agree well with our analysis of the results. •It was also found that the electrode pattern affects the performance of LEDs in view of light intensity distribution, saturation of light power, and device reliability. References Sungmin Hwang and Jongin Shim, Member, IEEE,” A Method for Current Spreading Analysis and Electrode Pattern Design in LightEmitting Diodes ,“IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 55, NO. 5, MAY 2008.