Abstract

We report on the improvement of light output power of InGaN/GaN blue light-emitting diodes (LEDs) by lateral epitaxial overgrowth (LEO) of GaN using a pyramidal-shaped SiO2 mask. The light output power was increased by 80% at 20 mA of injection current compared with that of conventional LEDs without LEO structures. This improvement is attributed to an increased internal quantum efficiency by a significant reduction in threading dislocation and by an enhancement of light extraction efficiency by pyramidal-shaped SiO2 LEO mask.

©2010 Optical Society of America

1. Introduction

High brightness group III-nitride based light-emitting diodes (LEDs) for visible light emission have many applications in display backlight units, automotive lighting and solid-state lighting. Although InGaN-based LEDs are already commercially available, further improvement of the light output power and the external quantum efficiency (ηext) are required. The limited external quantum efficiency of LEDs is mainly attributed to the low internal quantum efficiency (ηint) and light extraction efficiency (ηextraction) [1]. The low internal quantum efficiency (ηint) results mostly from the very high density (109-1010 cm−2) of threading dislocations (TDs) that form due to the large mismatch of lattice constants and thermal expansion coefficients between GaN films and sapphire substrates. These threading dislocations in GaN act as nonradiative recombination centers and as a leakage path in the LEDs [2]. To reduce the dislocation density, several methods such as lateral epitaxial overgrowth (LEO) [3,4], pendeoepitaxy [5], and in situ SiNx nano-masking [6,7] have been developed. Another major reason for the low external quantum efficiency (ηext) is a low light extraction efficiency (ηextraction), which is mainly due to the total internal reflection of light by the difference between the refractive indexes of GaN (n = 2.5) and air (n = 1). The improvement in light extraction efficiency is crucial, and several methods such as texturing of surface [810], a patterned sapphire substrate (PSS) [11,12], triangular chip design [13], and photonic crystal [1418] have been proposed to enhance the light extraction efficiency of LEDs.

Recently, a few groups have reported that both ηint and ηextraction are enhanced by using patterned sapphire substrates [19,20] or air voids inserted between GaN epitaxial layer and patterned sapphire by chemical wet etching method [21]. Another group also improved the ηint and ηextraction of LEDs using inverted hexagonal pyramid dielectric LEO masks [22]. However, the effect of LEO mask shape on the improvement of the ηint and ηextraction was not clearly understood, compared to those of conventional GaN LED using a flat LEO mask.

In this study, we report on the InGaN/GaN blue LEDs grown on a GaN template using a pyramidal-shaped SiO2 LEO mask. The pyramidal-shaped SiO2 LEO mask inserted into an n-GaN was observed to reduce the threading dislocations. Furthermore, in comparison with conventional GaN LEDs using a flat SiO2 LEO mask, the pyramidal-shaped SiO2 LEO mask increased ηextraction by changing the direction of light path. Particularly, the measurement of ηint of LEDs by using temperature-dependent photoluminescence (PL) clearly showed that the ηextraction can be enhanced by changing the LEO mask shape while maintaining the same pattern areas of SiO2 masks.

2. Experiments

In the present study, the LEDs were grown on a c-plane (0001) sapphire substrate by metalorganic chemical vapor deposition (MOCVD). After the growth of a 25 nm-thick GaN nucleation layer at 550 °C, a 3 μm-thick n-GaN epitaxial layer was grown at 1020 °C. Then, a 3 μm-thick SiO2 layer was deposited as an LEO mask on n-GaN by plasma-enhanced chemical vapor deposition (PECVD). An array of pyramidal-shaped SiO2 masks on the n-GaN were obtained by undercut etching of SiO2 in buffered oxide etchant (BOE) for 5 min after the photolithography process as shown in Fig. 1(a) . Figure 1(a) shows that the pyramidal-shaped SiO2 LEO masks with a width of 7 μm and a height of 1.7 μm were formed on the n-GaN layer. The spacing between SiO2 masks was 3 μm. To confirm the effect of mask shape, the conventional LEO mask was also fabricated. In case of conventional LEO mask, after the deposition of a 100 nm-thick SiO2 layer on n-GaN, an array of square-shaped SiO2 masks were obtained on the n-GaN by etching SiO2 in BOE for 30 sec and the photolithography process. The conventional LEO mask had the same width and spacing between SiO2 masks as those of PSLEO mask. After the overgrowth of 4 μm-thick undoped GaN, a 2 μm-thick n-GaN was grown on the GaN template covered with pyramidal-shaped SiO2 masks. Figure 1(b) shows a cross-sectional SEM image of a coalesced pyramidal-shaped lateral epitaxial overgrowth (PSLEO) GaN template. Full coalescence of GaN was achieved and the pyramidal-shaped masks were fully covered by the GaN epilayer. Then five periods of InGaN/GaN multiple quantum wells (MQWs) were grown at 770 °C, followed by the growth of a 200 nm-thick p-GaN layer at 950 °C. To fabricate LEDs, a p-GaN layer was etched by an inductively coupled plasma (ICP) etching process using Cl2/CH4/H2/Ar source gases until the n-GaN layer was exposed for n-type ohmic contact. Then the LEDs with a size of a 300 × 300 μm2 were fabricated using indium tin oxide (ITO) with a thickness of 200 nm as a transparent current spreading layer and Cr/Au as n- and p-pad electrodes by e-beam evaporation, respectively.

 

Fig. 1 (a) Cross-sectional SEM image of pyramidal-shaped SiO2 mask. The inset is a top-view SEM mage. (b) Cross-sectional SEM image of GaN film overgrown on the SiO2 mask.

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3. Results and discussion

3.1 Atomic force microscope (AFM) analysis

The surface morphology of the PSLEO GaN template was characterized by atomic force microscope (AFM) as shown in Fig. 2(c) . To evaluate the relative quality of the epilayer, the GaN templates grown without a SiO2 mask (nonLEO template) and the conventional LEO GaN templates grown with square-shaped SiO2 mask (LEO template) were also characterized by AFM as shown in Figs. 2(a) and 2(b), respectively. As shown in Figs. 2(b) and 2(c), there was a significant improvement in the surface morphology of LEO and PSLEO GaN templates grown with the inserted of SiO2 masks. This result is attributed to a reduction of threading dislocations in the GaN by insertion of a SiO2 LEO mask. Most threading dislocations in GaN propagate from the nucleation layer on the substrate to the top GaN surface. In the LEO GaN, however, the dislocations are terminated when they encounter the SiO2 mask, resulting in a decrease in dislocation density of the LEO GaN layer [3,4]. Figures 2(b) and 2(c) also show that the PSLEO and LEO GaN templates have a similar surface pit density because both templates have the same area of SiO2 masks.

 

Fig. 2 AFM images of GaN template (a) without SiO2 mask, (b) with square-shaped SiO2 mask, and (c) with pyramidal-shaped SiO2 mask. The scan area is 5 × 5 μm2.

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3.2 Photoluminescence (PL) measurement

Figure 3(a) shows the PL spectra of InGaN/GaN MQWs grown on PSLEO, LEO, and nonLEO GaN templates. The PL spectra were obtained at room temperature using a He–Cd laser (λ = 325 nm) with an excitation laser power of 50 mW. As shown in Fig. 3(a), the PL intensity of InGaN/GaN MQWs grown on PSLEO GaN was much higher than those of other samples. The enhancement of PL intensity was attributed to the improvement in the ηint due to the reduction of dislocation density. Moreover, the higher PL intensity of MQWs grown on PSLEO GaN compared to that of LEO GaN indicates that the ηextraction of MQWs is also improved by the pyramidal-shaped SiO2 mask. To more fully elucidate the improvement of ηint, the temperature-dependent PL was measured in a temperature range from 10 to 300K. The ηint of InGaN/GaN MQWs can be estimated by integrating the PL intensity by assuming that the ηint is 100% at 10K [18]. Figure 3(b) shows an Arrhenius plot of the normalized PL intensity for the InGaN/GaN MQWs grown on different GaN templates. The ηint of InGaN/GaN MQWs grown on a PSLEO GaN template was estimated to be 18.2%, which is about twice higher than that of a nonLEO GaN template (9.3%). This result indicates that a significant reduction of defects such as screw and edge-type threading dislocations in the n-GaN and MQWs contributes to the improvement of the ηint value [18]. In the case of the InGaN/GaN MQWs grown on a LEO GaN template, the ηint was 17.1%. This value was similar to that of PSLEO because both templates have the same area of SiO2 masks and similar dislocation densities.

 

Fig. 3 (a) Room temperature PL spectra and (b) temperature-dependent integrated PL intensity of MQWs grown on n-GaN with pyramidal-shaped SiO2 mask (PSLEO), square-shaped SiO2 mask (LEO) and without SiO2 mask.

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3.3 Monte-Carlo ray-tracing simulation analysis

To investigate the effect of SiO2 mask shape on the ηextraction, the ηextraction of LEDs with PSLEO and LEO GaN templates was calculated using the Monte-Carlo ray-tracing method. The Monte-Carlo ray-tracing is regarded as the most suitable method to simulate light propagation due to the randomness of the spontaneous photon emission from the MQW active layer in LEDs [23]. The PSLEO-LED used for simulation consisted of an 80 μm-thick sapphire (n = 1.7) and pyramidal-shaped SiO2 masks (n = 1.45) with a width of 8 μm and a height of 3 μm surrounded by 7 μm-thick GaN (n = 2.5). The LEO-LED contained the square-shaped SiO2 mask which had the same width and spacing between SiO2 masks as those of PSLEO mask. The active region with a ηint of 100% was inserted into the GaN. The total amount of light emitted from the LED was detected by receivers in all directions. Figure 4 shows the results of ray-tracing simulation for PSLEO-LED and LEO-LED. As shown in Figs. 4(a) and 4(b), the light of PSLEO-LED is more effectively escaped from the LED than that of LEO-LED. Particularly, Figs. 4(c) and 4(d) clearly indicate that the path length of light escaping from the PSLEO-LED is much shorter than that from the LEO-LED. This demonstrates that the PSLEO-LED effectively reduces the internal reflection loss and absorption in PSLEO-LED because the light path is changed by refraction at the interface between GaN epilayer and pyramidal-shaped SiO2 mask. Furthermore, Fig. 4(e) shows the ηextraction of each face of PSLEO-LED and LEO-LED. The total ηextraction of PSLEO-LED is much larger than that of LEO-LED. This result also indicates that the relative enhancement of ηextraction is dominated mostly by the increase in light extraction through the top side of PSLEO-LED.

 

Fig. 4 (a)-(d) Monte-Carlo ray-tracing result of the LEO-LED and PSLEO-LED. (e) Light extraction efficiency (ηextraction) and enhancement ratio of each face (top, bottom and side wall) of PSLEO-LED and LEO-LED.

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3.4 Light output power measurement

In order to investigate the optical properties of LED, the light output power was measured. The light output power of each LED was measured from the top side of LEDs using a 2 cm-diameter Si photodiode connected to an optical power meter. The distance between photodiode and LEDs was 10 cm. Figure 5 shows the light output power of PSLEO-LED, LEO-LED, and nonLEO-LED as a function of injection current. As shown in Fig. 5, the output power of PSLEO-LED is much higher than those of the other two LEDs. The light output power of PSLEO-LED is increased by 30% compared to that of the LEO-LED. This result is attributed to the improvement in the ηextraction by the pyramidal-shaped SiO2 mask. However, the enhancement of ηextraction is relatively smaller than the simulation result because the light escaped from the epilayers is partially absorbed and reflected by ITO top contact layer which is not included in the simulation. Moreover, the difference is also attributed to some loss of light due to the long distance between photodiode and LEDs. The improvement of output power of the PSLEO-LED was 80% at an injection current of 20 mA compared with that of a conventional LED (nonLEO-LED). The large enhancement of output power was attributed to the reduction of dislocation density and to an improvement in the light extraction efficiency of PSLEO-LED by the pyramidal-shaped SiO2 masks embedded in n-GaN.

 

Fig. 5 Light output power as a function of injection current for the PSLEO-LED, LEO-LED, and nonLEO-LED.

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4. Summary

In summary, we fabricated the InGaN/GaN blue LED using a PSLEO GaN template with pyramidal-shaped SiO2 masks. The light output power of the PSLEO-LED showed an enhancement of 80% and 30% compared with nonLEO-LED and LEO-LED, respectively. The enhancement of light output power was attributed to a reduction in the threading dislocation and to an improvement in the light extraction efficiency of PSLEO-LED by pyramidal-shaped SiO2.

Acknowledgements

This work was supported by the Ministry of Knowledge Economy (MKE) and the Korea Science and Engineering Foundation (KOSEF) NCRC grants funded by the Korea government (MEST) (Grant R15-2008-006-02001-0 and R17-2007-078-01000-0).

References and links

1. E. F. Schubert, Light-emitting diodes (Cambridge University Press, Cambridge, U.K., 2003).

2. J. S. Speck and S. J. Rosner, “The role of threading dislocations in the physical properties of GaN and its alloys,” Physica B 273-274(1-3), 24–32 (1999). [CrossRef]  

3. O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997). [CrossRef]  

4. A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005). [CrossRef]  

5. K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999). [CrossRef]  

6. M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007). [CrossRef]  

7. R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003). [CrossRef]  

8. I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993). [CrossRef]  

9. C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003). [CrossRef]  

10. T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004). [CrossRef]  

11. K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001). [CrossRef]  

12. D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005). [CrossRef]  

13. J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007). [CrossRef]  

14. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987). [CrossRef]   [PubMed]  

15. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997). [CrossRef]  

16. A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001). [CrossRef]  

17. T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003). [CrossRef]  

18. M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008). [CrossRef]  

19. H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008). [CrossRef]  

20. Y. J. Lee, H. C. Kuo, T. C. Lu, S. C. Wang, K. W. Ng, K. M. Lau, Z. P. Yang, S. P. Chang, and S. Y. Lin, “Study of GaN-Based Light-Emitting Diodes Grown on Chemical Wet-Etching-Patterned Sapphire Substrate With V-Shaped Pits Roughening Surfaces,” J. Lightwave Technol. 26(11), 1455–1463 (2008). [CrossRef]  

21. E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008). [CrossRef]  

22. J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009). [CrossRef]  

23. T. X. Lee, K. F. Gao, W. T. Chien, and C. C. Sun, “Light extraction analysis of GaN-based light-emitting diodes with surface texture and/or patterned substrate,” Opt. Express 15(11), 6670–6676 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-11-6670. [CrossRef]   [PubMed]  

References

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  1. E. F. Schubert, Light-emitting diodes (Cambridge University Press, Cambridge, U.K., 2003).
  2. J. S. Speck and S. J. Rosner, “The role of threading dislocations in the physical properties of GaN and its alloys,” Physica B 273-274(1-3), 24–32 (1999).
    [Crossref]
  3. O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997).
    [Crossref]
  4. A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
    [Crossref]
  5. K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
    [Crossref]
  6. M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
    [Crossref]
  7. R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
    [Crossref]
  8. I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
    [Crossref]
  9. C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003).
    [Crossref]
  10. T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
    [Crossref]
  11. K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
    [Crossref]
  12. D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
    [Crossref]
  13. J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007).
    [Crossref]
  14. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
    [Crossref] [PubMed]
  15. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997).
    [Crossref]
  16. A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
    [Crossref]
  17. T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003).
    [Crossref]
  18. M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
    [Crossref]
  19. H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
    [Crossref]
  20. Y. J. Lee, H. C. Kuo, T. C. Lu, S. C. Wang, K. W. Ng, K. M. Lau, Z. P. Yang, S. P. Chang, and S. Y. Lin, “Study of GaN-Based Light-Emitting Diodes Grown on Chemical Wet-Etching-Patterned Sapphire Substrate With V-Shaped Pits Roughening Surfaces,” J. Lightwave Technol. 26(11), 1455–1463 (2008).
    [Crossref]
  21. E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
    [Crossref]
  22. J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
    [Crossref]
  23. T. X. Lee, K. F. Gao, W. T. Chien, and C. C. Sun, “Light extraction analysis of GaN-based light-emitting diodes with surface texture and/or patterned substrate,” Opt. Express 15(11), 6670–6676 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-11-6670 .
    [Crossref] [PubMed]

2009 (1)

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

2008 (4)

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

Y. J. Lee, H. C. Kuo, T. C. Lu, S. C. Wang, K. W. Ng, K. M. Lau, Z. P. Yang, S. P. Chang, and S. Y. Lin, “Study of GaN-Based Light-Emitting Diodes Grown on Chemical Wet-Etching-Patterned Sapphire Substrate With V-Shaped Pits Roughening Surfaces,” J. Lightwave Technol. 26(11), 1455–1463 (2008).
[Crossref]

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

2007 (3)

J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007).
[Crossref]

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

T. X. Lee, K. F. Gao, W. T. Chien, and C. C. Sun, “Light extraction analysis of GaN-based light-emitting diodes with surface texture and/or patterned substrate,” Opt. Express 15(11), 6670–6676 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-11-6670 .
[Crossref] [PubMed]

2005 (2)

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

2004 (1)

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

2003 (3)

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003).
[Crossref]

T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003).
[Crossref]

2001 (2)

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

1999 (2)

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

J. S. Speck and S. J. Rosner, “The role of threading dislocations in the physical properties of GaN and its alloys,” Physica B 273-274(1-3), 24–32 (1999).
[Crossref]

1997 (2)

O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997).
[Crossref]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997).
[Crossref]

1993 (1)

I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
[Crossref]

1987 (1)

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[Crossref] [PubMed]

Bachelor, D.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Bremser, M.

O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997).
[Crossref]

Caneau, C.

I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
[Crossref]

Carlson, E.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Chakraborty, A.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

Chang, S. P.

Chi, G. C.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Chien, W. T.

Chuo, C. C.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Datta, R.

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

Davis, R.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Davis, R. F.

O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997).
[Crossref]

DenBaars, S. P.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

Dupuis, R. D.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Erchak, A. A.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Fan, S.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997).
[Crossref]

Fan, S. H.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Fan, Y. M.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Fang, J. S.

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

Ferguson, I.

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

Fujii, T.

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

Gao, H.

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

Gao, K. F.

Gao, Y.

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

Gehrke, T.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Gmitter, T. J.

I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
[Crossref]

Gupta, S.

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

Haskell, B. A.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

Hong, C. H.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Horng, R. H.

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

Hu, E. L.

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

Huh, C.

C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003).
[Crossref]

Humphreys, C. J.

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

Imada, Y.

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Ippen, E. P.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Jang, J.

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

Jeon, S. K.

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

Jiang, H. X.

T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003).
[Crossref]

Joannopoulos, J. D.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997).
[Crossref]

Joannoupoulos, J. D.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Jung, G. Y.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

Kang, E. J.

C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003).
[Crossref]

Kappers, M. J.

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

Kato, M.

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Keller, S.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

Kim, C. H.

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

Kim, H.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Kim, J. P.

J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007).
[Crossref]

Kim, J. W.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

Kim, J. Y.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007).
[Crossref]

Kim, K. S.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

Kim, Y. C.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

Kolodziejski, L. A.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Kuo, H. C.

Kwon, M. K.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007).
[Crossref]

Lau, K. M.

Lee, B. C.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Lee, C. E.

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

Lee, C. P.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Lee, J. W.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Lee, K. S.

C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003).
[Crossref]

Lee, S. N.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Lee, T. X.

Lee, Y. J.

Li, J.

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

Lin, J. Y.

T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003).
[Crossref]

Lin, S. Y.

Lin, W. Y.

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

Linthicum, K.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Lu, T. C.

Meier, C.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

Mishra, U. K.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

Nakamura, S.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

Nam, O.

O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997).
[Crossref]

Ng, K. W.

Oder, T. N.

T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003).
[Crossref]

Ohuchi, Y.

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Okagawa, H.

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Oliver, R. A.

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

Pan, S. M.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Park, E. H.

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

Park, I. K.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

Park, J. S.

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

Park, S. J.

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007).
[Crossref]

C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003).
[Crossref]

Park, Y.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Petrich, G. S.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Rajagopal, P.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Rakich, P.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Rayment, F. D. G.

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

Ripin, D. J.

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

Rosner, S. J.

J. S. Speck and S. J. Rosner, “The role of threading dislocations in the physical properties of GaN and its alloys,” Physica B 273-274(1-3), 24–32 (1999).
[Crossref]

Ryou, J. H.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Scherer, A.

I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
[Crossref]

Schnitzer, I.

I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
[Crossref]

Schubert, E. F.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997).
[Crossref]

Shakya, J.

T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003).
[Crossref]

Sharma, R.

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

Shih, W. C.

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

Smith, T.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Sone, C.

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

Speck, J. S.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

J. S. Speck and S. J. Rosner, “The role of threading dislocations in the physical properties of GaN and its alloys,” Physica B 273-274(1-3), 24–32 (1999).
[Crossref]

Sun, C. C.

Tadatomo, K.

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Taguchi, T.

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Thomson, D.

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

Tsai, C. E.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Tsunekawa, T.

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Tu, R. C.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Tun, C. J.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Vickers, M. E.

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

Villeneuve, P. R.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997).
[Crossref]

Waltereit, P.

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

Wang, G.

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

Wang, S. C.

Wang, T. C.

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

Wang, W. K.

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

Wuu, D. S.

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

Yablonovitch, E.

I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
[Crossref]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[Crossref] [PubMed]

Yan, F.

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

Yang, Z. P.

Zeng, Y.

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

Zhang, Y.

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

Zheleva, T. S.

O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997).
[Crossref]

Appl. Phys. Lett. (11)

O. Nam, M. Bremser, T. S. Zheleva, and R. F. Davis, “Lateral epitaxy of low defect density GaN layers via organometallic vapor phase epitaxy,” Appl. Phys. Lett. 71(18), 2638 (1997).
[Crossref]

A. Chakraborty, S. Keller, C. Meier, B. A. Haskell, S. Keller, P. Waltereit, S. P. DenBaars, S. Nakamura, J. S. Speck, and U. K. Mishra, “Properties of nonpolar a-plane InGaN/GaN multiple quantum wells grown on lateral epitaxially overgrown a-plane GaN,” Appl. Phys. Lett. 86(3), 031901 (2005).
[Crossref]

K. Linthicum, T. Gehrke, D. Thomson, E. Carlson, P. Rajagopal, T. Smith, D. Bachelor, and R. Davis, “Pendeoepitaxy of gallium nitride thin films,” Appl. Phys. Lett. 75(2), 196 (1999).
[Crossref]

R. C. Tu, C. C. Chuo, S. M. Pan, Y. M. Fan, C. E. Tsai, T. C. Wang, C. J. Tun, G. C. Chi, B. C. Lee, and C. P. Lee, “Improvement of near-ultraviolet InGaN/GaN light-emitting diodes by inserting an in situ rough SiNx interlayer in n-GaN layers,” Appl. Phys. Lett. 83(17), 3608 (2003).
[Crossref]

I. Schnitzer, E. Yablonovitch, C. Caneau, T. J. Gmitter, and A. Scherer, “30% external quantum efficiency from surface textured, thin-film light-emitting diodes,” Appl. Phys. Lett. 63(16), 2174 (1993).
[Crossref]

A. A. Erchak, D. J. Ripin, S. H. Fan, P. Rakich, J. D. Joannoupoulos, E. P. Ippen, G. S. Petrich, and L. A. Kolodziejski, “Enhanced coupling to vertical radiation using a two-dimensional photonic crystal in a semiconductor light-emitting diode,” Appl. Phys. Lett. 78(5), 563 (2001).
[Crossref]

T. N. Oder, J. Shakya, J. Y. Lin, and H. X. Jiang, “III-nitride photonic crystals,” Appl. Phys. Lett. 83(6), 1231 (2003).
[Crossref]

M. K. Kwon, J. Y. Kim, I. K. Park, K. S. Kim, G. Y. Jung, S. J. Park, J. W. Kim, and Y. C. Kim, “Enhanced emission efficiency of GaN/InGaN multiple quantum well light-emitting diode with an embedded photonic crystal,” Appl. Phys. Lett. 92(25), 251110 (2008).
[Crossref]

T. Fujii, Y. Gao, R. Sharma, E. L. Hu, S. P. DenBaars, and S. Nakamura, “Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening,” Appl. Phys. Lett. 84(6), 855 (2004).
[Crossref]

E. H. Park, J. Jang, S. Gupta, I. Ferguson, C. H. Kim, S. K. Jeon, and J. S. Park, “Air-voids embedded high efficiency InGaN-light emitting diode,” Appl. Phys. Lett. 93(19), 191103 (2008).
[Crossref]

J. W. Lee, C. Sone, Y. Park, S. N. Lee, J. H. Ryou, R. D. Dupuis, C. H. Hong, and H. Kim, “High efficiency GaN-based light-emitting diodes fabricated on dielectric mask-embedded structures,” Appl. Phys. Lett. 95(1), 011108 (2009).
[Crossref]

IEEE Photon. Technol. Lett. (2)

D. S. Wuu, W. K. Wang, W. C. Shih, R. H. Horng, C. E. Lee, W. Y. Lin, and J. S. Fang, “Enhanced output power of near-ultraviolet InGaN-GaN LEDs grown on patterned sapphire substrates,” IEEE Photon. Technol. Lett. 17(2), 288–290 (2005).
[Crossref]

J. Y. Kim, M. K. Kwon, J. P. Kim, and S. J. Park, “Enhanced Light Extraction From Triangular GaN-Based Light-Emitting Diodes,” IEEE Photon. Technol. Lett. 19(23), 1865–1867 (2007).
[Crossref]

J. Appl. Phys. (2)

H. Gao, F. Yan, Y. Zhang, J. Li, Y. Zeng, and G. Wang, “Enhancement of the light output power of InGaN/GaN light-emitting diodes grown on pyramidal patterned sapphire substrates in the micro- and nanoscale,” J. Appl. Phys. 103(1), 014314 (2008).
[Crossref]

C. Huh, K. S. Lee, E. J. Kang, and S. J. Park, “Improved light-output and electrical performance of InGaN-based light-emitting diode by microroughening of the p-GaN surface,” J. Appl. Phys. 93(11), 9383 (2003).
[Crossref]

J. Cryst. Growth (1)

M. J. Kappers, R. Datta, R. A. Oliver, F. D. G. Rayment, M. E. Vickers, and C. J. Humphreys, “Threading dislocation reduction in (0001) GaN thin films using SiNx interlayers,” J. Cryst. Growth 300(1), 70–74 (2007).
[Crossref]

J. Lightwave Technol. (1)

Jpn. J. Appl. Phys. (1)

K. Tadatomo, H. Okagawa, Y. Ohuchi, T. Tsunekawa, Y. Imada, M. Kato, and T. Taguchi, “High Output Power InGaN Ultraviolet Light-Emitting Diodes Fabricated on Patterned Substrates Using Metalorganic Vapor Phase Epitaxy,” Jpn. J. Appl. Phys. 40(Part 2, No. 6B), L583–L585 (2001).
[Crossref]

Opt. Express (1)

Phys. Rev. Lett. (2)

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[Crossref] [PubMed]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, “High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals,” Phys. Rev. Lett. 78(17), 3294–3297 (1997).
[Crossref]

Physica B (1)

J. S. Speck and S. J. Rosner, “The role of threading dislocations in the physical properties of GaN and its alloys,” Physica B 273-274(1-3), 24–32 (1999).
[Crossref]

Other (1)

E. F. Schubert, Light-emitting diodes (Cambridge University Press, Cambridge, U.K., 2003).

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Figures (5)

Fig. 1
Fig. 1 (a) Cross-sectional SEM image of pyramidal-shaped SiO2 mask. The inset is a top-view SEM mage. (b) Cross-sectional SEM image of GaN film overgrown on the SiO2 mask.
Fig. 2
Fig. 2 AFM images of GaN template (a) without SiO2 mask, (b) with square-shaped SiO2 mask, and (c) with pyramidal-shaped SiO2 mask. The scan area is 5 × 5 μm2.
Fig. 3
Fig. 3 (a) Room temperature PL spectra and (b) temperature-dependent integrated PL intensity of MQWs grown on n-GaN with pyramidal-shaped SiO2 mask (PSLEO), square-shaped SiO2 mask (LEO) and without SiO2 mask.
Fig. 4
Fig. 4 (a)-(d) Monte-Carlo ray-tracing result of the LEO-LED and PSLEO-LED. (e) Light extraction efficiency (ηextraction ) and enhancement ratio of each face (top, bottom and side wall) of PSLEO-LED and LEO-LED.
Fig. 5
Fig. 5 Light output power as a function of injection current for the PSLEO-LED, LEO-LED, and nonLEO-LED.

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