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(a) Sketch map of the LED structure. (b) Schematic diagrams of structures of the lateral LED and roughened V-LED in 2D-FDTD simulations. (c) Schematic diagrams of structures of the lateral LED, planar V-LED, and V-LED with CBL in APSYS simulations.

(a) Sketch map of the LED structure. (b) Schematic diagrams of structures of the lateral LED and roughened V-LED in 2D-FDTD simulations. (c) Schematic diagrams of structures of the lateral LED, planar V-LED, and V-LED with CBL in APSYS simulations.

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Light extraction efficiency (LEE) droop as an important factor contributing to the efficiency droop of InGaN-based light-emitting diodes (LEDs) has been demonstrated and investigated in detail. The LEE droop effect is induced by the spatial dependence of the extraction efficiency of photons inside of the LED devices and the aggravating crowding eff...

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Context 1
... a LED device, as shown in Fig. 1(a), the D-LEE at an injection current density of j can be expressed by an inte- gral formula as ...
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... the integration is per- formed over the LED area. The xy plane is the in plane of InGaN MQWs. In this part, it is worthy to note that z axis, which is perpendicular to the xy plane, is not considered because the thickness of the InGaN MQWs is much smaller than the size at x or y direction. Moreover, as shown in Fig. 1(a y axes, leading to symmetry and equality at x/y direction in the integration process. Therefore, in order to reduce the computation, the formula above can be simplified by leaving y direction out ...
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... this article, g LEE (x) is uncovered by optical simulations using two-dimensional finite difference time domain (2D- FDTD) method. Figure 1(b) shows structures of the lateral and vertical LEDs in the numerical simulation by using 2D- FDTD method. In lateral LEDs, metal p-n electrodes were both assumed to be a perfect absorber with a length of 10 lm and a thickness of 1 lm. ...
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... roughened V-LEDs, GaN pyramids on the rough surface of the n-GaN layer were assumed to have a height of 1 lm. Some of the key parameters in 2D-FDTD sim- ulations have already been presented in Fig 1(b). In order to obtain the distribution of the light extraction possibility for the emitted photons at x, we chose 20, 40, and 40 dots along the x direction for lateral LEDs, planar V-LEDs, and rough- ened V-LEDs, respectively. ...
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... have further made numerical simulations to analyze the distribution of the injection current density j(x) in InGaN MQWs by using APSYS Crosslight software. Figure 1(c) presents schematic diagrams of structures of the lateral LED, planar V-LED, and V-LED with current blocking layer (CBL) in APSYS simulations. In this part, the sizes of all the LEDs were assumed to be with an area of 200 Â 200 lm 2 . ...

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... Another technical route is to use ultra-large mesa thin-film LEDs (usually in several mm 2 scale), which aims to push the working current density to the lower end, where the droop effect could be significantly alleviated, in order to achieve higher quantum efficiency even at high current injection conditions [33,34]. However, with this method, the mesa size must be so greatly enlarged that it will induce severe current crowding effect, particularly on the p-side, leading to a degradation in both internal quantum efficiency and light extraction efficiency [35,36]. Recently, micro-LED (µ-LED) technology has been developing rapidly as it has great potentials in next-generation displays and widespread applications, yet there are still existing great challenges for µ-LEDs to achieve high efficiency due to severe Shockley-Hall-Read (SHR) recombination and surface recombination processes. ...
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... LEE droop inherited from the CCE has been revealed by Cao, [14] Li, [15] and our group. [16] Various countermeasures have been adopted to increase the L s to boost the EQE, such as plasma treatment of the p-type GaN region underneath the bonding pad of the electrode, [17] the geometrical parameter optimization, [18][19][20] special chip design (such as interdigitated multipixel array (IMPA) chip design, [21] interdigitated mesa geometry design, [22] ) by incorporating transparent conductive layer (TCL), [23,26] tunnel junction, [27,28] or current blocking layer (CBL). [29,30] However, there is still a lack of direct and theoretical correlation linking CCE and EQE droop in these reports, and to date there are no reports to single out the relevant contribution of CCE to IQE, LEE, and ultimate EQE droop. ...
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... A maximum current density of 20 kA/cm 2 can be reached at forward voltage 5.94 V. The specific series resistance extracted from J-V curves is about 9.7×10 −5 ·cm 2 , suggesting the excellent electrical property of chip [18], [19]. The maximum optical power of LED chip is 7.2 mW at 15 kA/cm 2 , which can be applicable for VLC in free space and improve the signal to noise ratio of the VLC system. ...
... The effect of self-heating can be alleviated by improving the device's energy efficiency, for example by modifying its epitaxial structure, by improving the current spread, or by enhancing its light extraction efficiency. [15][16][17][18][19] Besides, it is a necessary supplement for thermal management to improve heat dissipation as the limitation of nature properties of materials and processing techniques. ...
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... Cao et al. [18] and Ryu and Shim [19] have investigated the CCE on the LEE and efficiency droop of LEDs with the Monte Carlo ray tracing approach. By numerical simulations, we found that LEE decreases when the injection current increases due to the aggravating CCE of the carriers underneath the electrodes [14]. In addition, Huang et al. [20] have correlated the CCE with the electrical, optical and electrical-thermal properties of LEDs using a designed pattern with different current spreading distances. ...
... As the MQWs are relatively thin, we assume v keeps invariant. We have investigated the LEE distribution under and outside of the shadow both in L-LEDs and V-LEDs before [14] and found that most of the photons emitted right below the shadow are absorbed, therefore leading to an extremely low LEE. Photons neighboring to the shadow area can also be partially absorbed, and this results in a Gaussian distribution of the photon escaping possibility along the x axis. ...
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By incorporating current crowding effect into the conventional ABC model, we theoretically and directly uncover the black box of the relationship between the current diffusion and the internal quantum efficiency, light extraction efficiency, and external quantum efficiency droop of the light emitting diodes (LEDs). A general formula for the current diffusion length (L s) has been derived. The design strategies on the current blocking layer and the transparent conductive layer to increase the L s have been analyzed. The impact of the vertical resistance (R s) on the LED wall-plug efficiency (WPE) has also been addressed. We have found there exists an optimized R s , and the LED WPE is not always monotonically increasing as the R s decreases. Besides, our previous experiment results have been summarized to verify the theoretical analysis. Index Terms— Efficiency droop, light emitting diodes, current crowding effect, current blocking layer, transparent conductive layer.
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