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Dependence of efficiencies in GaN-based vertical blue light-emitting diodes on the thickness and doping concentration of the n-GaN layerHan-Youl Ryu, Ki-Seong Jeon, Min-Goo Kang, Yunho Choi, and Jeong-Soo Lee »View Author Affiliations
Han-Youl Ryu,1,*
Ki-Seong Jeon,2
Min-Goo Kang,2
Yunho Choi,2
and Jeong-Soo Lee2
1Department of Physics, Inha University, 100 Inha-ro, Nam-gu, Incheon 402-751, South Korea 2LG Electronics Advanced Research Institute, Seoul 137-724, South Korea *Corresponding author: hanryu@inha.ac.kr |
Optics Express, Vol. 21, Issue S1, pp. A190-A200 (2013)
http://dx.doi.org/10.1364/OE.21.00A190
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Abstract
We investigate the dependence of various efficiencies in GaN-based vertical blue light-emitting diode (LED) structures on the thickness and doping concentration of the n-GaN layer by using numerical simulations. The electrical efficiency (EE) and the internal quantum efficiency (IQE) are found to increase as the thickness or doping concentration increases due to the improvement of current spreading. On the contrary, the light extraction efficiency (LEE) decreases with increasing doping concentration or n-GaN thickness by the free-carrier absorption. By combining the results of EE, IQE, and LEE, wall-plug efficiency (WPE) of the vertical LED is calculated, and the optimum thickness and doping concentration of the n-GaN layer is found for obtaining the maximum WPE.
© 2013 OSA
OCIS Codes
(230.0250) Optical devices : Optoelectronics
(230.3670) Optical devices : Light-emitting diodes
ToC Category:
Light-Emitting Diodes
History
Original Manuscript: October 4, 2012
Revised Manuscript: November 22, 2012
Manuscript Accepted: December 12, 2012
Published: January 8, 2013
Citation
Han-Youl Ryu, Ki-Seong Jeon, Min-Goo Kang, Yunho Choi, and Jeong-Soo Lee, "Dependence of efficiencies in GaN-based vertical blue light-emitting diodes on the thickness and doping concentration of the n-GaN layer," Opt. Express 21, A190-A200 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-S1-A190
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- H. Kim, K. K. Kim, K. K. Choi, H. Kim, J. O. Song, J. Cho, K. H. Baik, C. Sone, Y. Park, and T.-Y. Seong, “Design of high-efficiency GaN-based light emitting diodes with vertical injection geometry,” Appl. Phys. Lett.91(2), 023510 (2007). [CrossRef]
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- H. K. Cho, J. Jang, J. H. Choi, J. Choi, J. Kim, J. S. Lee, B. Lee, Y. H. Choe, K. D. Lee, S. H. Kim, K. Lee, S. K. Kim, and Y. H. Lee, “Light extraction enhancement from nano-imprinted photonic crystal GaN-based blue light-emitting diodes,” Opt. Express14(19), 8654–8660 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-19-8654 . [CrossRef] [PubMed]
- H. Y. Ryu, J. I. Shim, C. H. Kim, J. H. Choi, H. M. Jung, M. S. Noh, J. M. Lee, and E. S. Nam, “Efficiency and electron leakage characteristics in GaN-based light-emitting diodes without AlGaN electron-blocking-layer structures,” IEEE Photon. Technol. Lett.23(24), 1866–1868 (2011). [CrossRef]
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- J. Xie, X. Ni, Q. Fan, R. Shimada, U. Ozgur, and H. Morkoc, “On the efficiency droop in InGaN multiple quantum well blue light emitting diodes and its reduction with p-doped quantum well barriers,” Appl. Phys. Lett.93(12), 121107 (2008). [CrossRef]
- H. Ye, G. W. Wicks, and P. M. Fauchet, “Hot electron relaxation time in GaN,” Appl. Phys. Lett.74(5), 711–713 (1999). [CrossRef]
- H. Hasegawa, Y. Kamimura, K. Edagawa, and I. Yonenaga, “Dislocation-related optical absorption in plastically deformed GaN,” J. Appl. Phys.102(2), 026103 (2007). [CrossRef]
- G. Yu, G. Wang, H. Ishikawa, M. Umeno, T. Soga, T. Egawa, J. Watanabe, and T. Jimbo, “Optical properties of wurtzite structure GaN on sapphire around fundamental absorption edge (0.78–4.77 eV) by spectroscopic ellipsometry and the optical transmission method,” Appl. Phys. Lett.70(24), 3209–3211 (1997). [CrossRef]
- M. R. Krames, O. B. Shchekin, R. Mueller-Mach, G. O. Mueller, L. Zhou, G. O. Mueller, L. Zhou, G. Harbers, and M. Craford, “Status and future of high-power light-emitting diodes for solid-state lighting,” J. Display Technol.3(2), 160–175 (2007). [CrossRef]
- M. R. Krames, O. B. Shchekin, R. Mueller-Mach, G. O. Mueller, L. Zhou, G. O. Mueller, L. Zhou, G. Harbers, and M. Craford, “Status and future of high-power light-emitting diodes for solid-state lighting,” J. Display Technol.3(2), 160–175 (2007). [CrossRef]
Appl. Phys. B
- J. R. Chen, Y. C. Wu, S. C. Ling, T. S. Ko, T. C. Lu, H. C. Kuo, Y. K. Kuo, and S. C. Wang, “Investigation of wavelength-dependent efficiency droop in InGaN light-emitting diodes,” Appl. Phys. B98(4), 779–789 (2010). [CrossRef]
Appl. Phys. Lett.
- A. David and M. J. Grundmann, “Droop in InGaN light-emitting diodes: A differential carrier lifetime analysis,” Appl. Phys. Lett.96(10), 103504 (2010). [CrossRef]
- Y. C. Shen, G. O. Mueller, S. Watanabe, N. F. Gardner, A. Munkholm, and M. R. Krames, “Auger recombination in InGaN measured by photoluminescence,” Appl. Phys. Lett.91(14), 141101 (2007). [CrossRef]
- H. Y. Ryu, H. S. Kim, and J. I. Shim, “Rate equation analysis of efficiency droop in InGaN light-emitting diodes,” Appl. Phys. Lett.95(8), 081114 (2009). [CrossRef]
- H. Y. Ryu, D. S. Shin, and J. I. Shim, “Analysis of efficiency droop in nitride light-emitting diodes by the reduced effective volume of InGaN active material,” Appl. Phys. Lett.100(13), 131109 (2012). [CrossRef]
- E. Kioupakis, P. Rinke, K. T. Delaney, and C. G. Van de Walle, “Indirect Auger recombination as a cause of efficiency droop in nitride light-emitting diodes,” Appl. Phys. Lett.98(16), 161107 (2011). [CrossRef]
- F. Bertazzi, M. Goano, and E. Bellotti, “Numerical analysis of indirect Auger transitions in InGaN,” Appl. Phys. Lett.101(1), 011111 (2012). [CrossRef]
- B. Galler, P. Drechsel, R. Monnard, P. Rode, P. Stauss, S. Froehlich, W. Bergbauer, M. Binder, M. Sabathil, B. Hahn, and J. Wagner, “Influence of indium content and temperature on Auger-like recombination in InGaN quantum wells grown on (111) silicon substrates,” Appl. Phys. Lett.101(13), 131111 (2012). [CrossRef]
- V. Fiorentini, F. Bernardini, and O. Ambacher, “Evidence for nonlinear macroscopic polarization in III-V nitride alloy heterostructures,” Appl. Phys. Lett.80(7), 1204–1206 (2002). [CrossRef]
- S. K. Kim, H. K. Cho, D. K. Bae, J. S. Lee, H. G. Park, and Y. H. Lee, “Efficient GaN slab vertical light-emitting diode covered with a patterned high-index layer,” Appl. Phys. Lett.92(24), 241118 (2008). [CrossRef]
- W. S. Wong, T. Sands, N. W. Cheung, M. Kneissl, D. P. Bour, P. Mei, L. T. Romano, and N. M. Johnson, “Fabrication of thin-film InGaN light-emitting diode membranes by laser lift-off,” Appl. Phys. Lett.75(10), 1360–1362 (1999). [CrossRef]
- H. Kim, K. K. Kim, K. K. Choi, H. Kim, J. O. Song, J. Cho, K. H. Baik, C. Sone, Y. Park, and T.-Y. Seong, “Design of high-efficiency GaN-based light emitting diodes with vertical injection geometry,” Appl. Phys. Lett.91(2), 023510 (2007). [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), 855–857 (2004). [CrossRef]
- T. N. Oder, K. H. Kim, J. Y. Lin, and H. X. Jiang, “III-nitride blue and ultraviolet photonic crystal light emitting diodes,” Appl. Phys. Lett.84(4), 466–468 (2004). [CrossRef]
- V. K. Malyutenko, S. S. Bolgov, and A. D. Podoltsev, “Current crowding effect on the ideality factor and efficiency droop in blue lateral InGaN/GaN light emitting diodes,” Appl. Phys. Lett.97(25), 251110 (2010). [CrossRef]
- G. Yu, G. Wang, H. Ishikawa, M. Umeno, T. Soga, T. Egawa, J. Watanabe, and T. Jimbo, “Optical properties of wurtzite structure GaN on sapphire around fundamental absorption edge (0.78–4.77 eV) by spectroscopic ellipsometry and the optical transmission method,” Appl. Phys. Lett.70(24), 3209–3211 (1997). [CrossRef]
- H. Ye, G. W. Wicks, and P. M. Fauchet, “Hot electron relaxation time in GaN,” Appl. Phys. Lett.74(5), 711–713 (1999). [CrossRef]
- X. Ni, Q. Fan, R. Shimada, Ü. Özgür, and H. Morkoç, “Reduction of efficiency droop in InGaN light emitting diodes by coupled quantum wells,” Appl. Phys. Lett.93(17), 171113 (2008). [CrossRef]
- J. Xie, X. Ni, Q. Fan, R. Shimada, U. Ozgur, and H. Morkoc, “On the efficiency droop in InGaN multiple quantum well blue light emitting diodes and its reduction with p-doped quantum well barriers,” Appl. Phys. Lett.93(12), 121107 (2008). [CrossRef]
- D. S. Meyaard, G. B. Lin, Q. Shan, J. Cho, E. F. Schubert, H. Shim, M. H. Kim, and C. Sone, “Asymmetry of carrier transport leading to efficiency droop in GaInN based light-emitting diodes,” Appl. Phys. Lett.99(25), 251115 (2011). [CrossRef]
Electron. Lett.
- T. Jeong, J. H. Baek, J. S. Ha, and H. Y. Ryu, “High-power single-chip InGaN light-emitting diode with 3.3 W output power,” Electron. Lett.48(21), 1358–1360 (2012). [CrossRef]
IEEE J. Quantum Electron.
- H. Y. Ryu and J. I. Shim, “Structural parameter dependence of light extraction efficiency in photonic crystal InGaN vertical light-emitting diode structures,” IEEE J. Quantum Electron.46(5), 714–720 (2010). [CrossRef]
IEEE J. Sel. Top. Quantum Electron.
- D. H. Long, I. K. Hwang, and S. W. Ryu, “Design optimization of photonic crystal structure for improved light extraction of GaN LED,” IEEE J. Sel. Top. Quantum Electron.15(4), 1257–1263 (2009). [CrossRef]
- M. H. Crawford, “LEDs for solid-state lighting: Performance challenges and recent advances,” IEEE J. Sel. Top. Quantum Electron.15(4), 1028–1040 (2009). [CrossRef]
IEEE Photon. Technol. Lett.
- H. Y. Ryu, J. I. Shim, C. H. Kim, J. H. Choi, H. M. Jung, M. S. Noh, J. M. Lee, and E. S. Nam, “Efficiency and electron leakage characteristics in GaN-based light-emitting diodes without AlGaN electron-blocking-layer structures,” IEEE Photon. Technol. Lett.23(24), 1866–1868 (2011). [CrossRef]
IEEE Trans. Electron. Dev.
- A. Laubsch, M. Sabathil, J. Baur, M. Peter, and B. Hahn, “High-power and high-efficiency InGaN-based light emitters,” IEEE Trans. Electron. Dev.57(1), 79–87 (2010). [CrossRef]
- M. Farahmand, C. Garetto, E. Bellotti, K. F. Brennan, M. Goano, E. Ghillino, G. Ghione, J. D. Albrecht, and P. Ruden, “Monte Carlo simulation of electron transport in the III-nitride wurtzite phase materials system: binaries and ternaries,” IEEE Trans. Electron. Dev.48(3), 535–542 (2001). [CrossRef]
J. Appl. Phys.
- D. Brunner, H. Angerer, E. Bustarret, F. Freudenberg, R. Hopler, R. Dimitrov, O. Ambacher, and M. Stutzmann, “Optical constants of epitaxial AlGaN films and their temperature dependence,” J. Appl. Phys.82(10), 5090–5096 (1997). [CrossRef]
- Y. Oshima, T. Suzuki, T. Eri, Y. Kawaguchi, K. Watanabe, M. Shibata, and T. Mishima, “Thermal and optical properties of bulk GaN crystals fabricated through hydride vapor phase epitaxy with void-assisted separation,” J. Appl. Phys.98(10), 103509 (2005). [CrossRef]
- H. Hasegawa, Y. Kamimura, K. Edagawa, and I. Yonenaga, “Dislocation-related optical absorption in plastically deformed GaN,” J. Appl. Phys.102(2), 026103 (2007). [CrossRef]
J. Display Technol.
- M. R. Krames, O. B. Shchekin, R. Mueller-Mach, G. O. Mueller, L. Zhou, G. O. Mueller, L. Zhou, G. Harbers, and M. Craford, “Status and future of high-power light-emitting diodes for solid-state lighting,” J. Display Technol.3(2), 160–175 (2007). [CrossRef]
Laser Photon. Rev.
- C. Wiesmann, K. Bergenek, N. Linder, and U. T. Schwarz, “Photonic crystal LEDs – designing light extraction,” Laser Photon. Rev.3(3), 262–286 (2009). [CrossRef]
Mater. Sci. Eng. B
- G. Bentoumi, A. Deneuville, B. Beaumont, and P. Gibart, “Influence of Si doping level on the Raman and IR reflectivity spectra and optical absorption spectrum of GaN,” Mater. Sci. Eng. B50(1-3), 142–147 (1997). [CrossRef]
Nat. Photonics
- J. J. Wierer, A. David, and M. M. Megens, “III-nitride photonic-crystal light-emitting diodes with high extraction efficiency,” Nat. Photonics3(3), 163–169 (2009). [CrossRef]
Opt. Express
- H. K. Cho, J. Jang, J. H. Choi, J. Choi, J. Kim, J. S. Lee, B. Lee, Y. H. Choe, K. D. Lee, S. H. Kim, K. Lee, S. K. Kim, and Y. H. Lee, “Light extraction enhancement from nano-imprinted photonic crystal GaN-based blue light-emitting diodes,” Opt. Express14(19), 8654–8660 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-19-8654 . [CrossRef] [PubMed]
- H. Y. Ryu and J. I. Shim, “Effect of current spreading on the efficiency droop of InGaN light-emitting diodes,” Opt. Express19(4), 2886–2894 (2011), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-4-2886 . [CrossRef] [PubMed]
- J. K. Kim and E. F. Schubert, “Transcending the replacement paradigm of solid-state lighting,” Opt. Express16(26), 21835–21842 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-26-21835 . [CrossRef] [PubMed]
- J. H. Son, B. J. Kim, C. J. Ryu, Y. H. Song, H. K. Lee, J. W. Choi, and J. L. Lee, “Enhancement of wall-plug efficiency in vertical InGaN/GaN LEDs by improved current spreading,” Opt. Express20(S2Suppl 2), A287–A292 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-102-A287 . [CrossRef] [PubMed]
- P. Zhao and H. Zhao, “Analysis of light extraction efficiency enhancement for thin-film-flip-chip InGaN quantum wells light-emitting diodes with GaN micro-domes,” Opt. Express20(S5Suppl 5), A765–A776 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-105-A765 . [CrossRef] [PubMed]
- Z. Liu, K. Wang, X. Luo, and S. Liu, “Precise optical modeling of blue light-emitting diodes by Monte Carlo ray-tracing,” Opt. Express18(9), 9398–9412 (2010), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-9-9398 . [CrossRef] [PubMed]
Phys. Status Solidi A
- J. Piprek, “Efficiency droop in nitride-based light-emitting diodes,” Phys. Status Solidi A207(10), 2217–2225 (2010). [CrossRef]
- G. Chen, M. Craven, A. Kim, A. Munkholm, S. Watanabe, M. Camras, W. Gotz, and F. Steranka, “Performance of high-power III-nitride light emitting diodes,” Phys. Status Solidi A205(5), 1086–1092 (2008). [CrossRef]
Proc. IEEE
- Ü. Özgür, H. Liu, X. Li, X. Ni, and H. Morkoç, “GaN-based light-emitting diodes: Efficiency at high injection levels,” Proc. IEEE98(7), 1180–1196 (2010). [CrossRef]
Science
- E. F. Schubert and J. K. Kim, “Solid-state light sources getting smart,” Science308(5726), 1274–1278 (2005). [CrossRef] [PubMed]
Semiconductors
- Y. Lelikov, N. Bochkareva, R. Gorbunov, I. Martynov, Y. Rebane, D. Tarkin, and Y. Shreter, “Measurement of the absorption coefficient for light laterally propagating in light-emitting diode structures with In0.2Ga0.8N/GaN quantum wells,” Semiconductors42(11), 1342–1345 (2008). [CrossRef]
Solid State Commun.
- O. Ambacher, W. Rieger, P. Ansmann, H. Angerer, T. D. Moustakas, and M. Stutzmann, “Sub-bandgap absorption of gallium nitride determined by photothermal deflection spectroscopy,” Solid State Commun.97(5), 365–370 (1996). [CrossRef]
Other
- J. Piprek, Semiconductor Optoelectronic Devices (Academic Press, 2003), chap. 9.
- APSYS by Crosslight Software, Inc., Burnaby, Canada, http://www.crosslight.com
- E. F. Schubert, Light-Emitting Diodes, 2nd ed. (Cambridge University Press, 2006), chap. 9.
- A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House Inc., 1995).
2012, Jeong, Electron. Lett.
- T. Jeong, J. H. Baek, J. S. Ha, and H. Y. Ryu, “High-power single-chip InGaN light-emitting diode with 3.3 W output power,” Electron. Lett.48(21), 1358–1360 (2012). [CrossRef]
- H. Y. Ryu, D. S. Shin, and J. I. Shim, “Analysis of efficiency droop in nitride light-emitting diodes by the reduced effective volume of InGaN active material,” Appl. Phys. Lett.100(13), 131109 (2012). [CrossRef]
- F. Bertazzi, M. Goano, and E. Bellotti, “Numerical analysis of indirect Auger transitions in InGaN,” Appl. Phys. Lett.101(1), 011111 (2012). [CrossRef]
- B. Galler, P. Drechsel, R. Monnard, P. Rode, P. Stauss, S. Froehlich, W. Bergbauer, M. Binder, M. Sabathil, B. Hahn, and J. Wagner, “Influence of indium content and temperature on Auger-like recombination in InGaN quantum wells grown on (111) silicon substrates,” Appl. Phys. Lett.101(13), 131111 (2012). [CrossRef]
- J. H. Son, B. J. Kim, C. J. Ryu, Y. H. Song, H. K. Lee, J. W. Choi, and J. L. Lee, “Enhancement of wall-plug efficiency in vertical InGaN/GaN LEDs by improved current spreading,” Opt. Express20(S2Suppl 2), A287–A292 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-102-A287 . [CrossRef] [PubMed]
- D. S. Meyaard, G. B. Lin, Q. Shan, J. Cho, E. F. Schubert, H. Shim, M. H. Kim, and C. Sone, “Asymmetry of carrier transport leading to efficiency droop in GaInN based light-emitting diodes,” Appl. Phys. Lett.99(25), 251115 (2011). [CrossRef]
- H. Y. Ryu, J. I. Shim, C. H. Kim, J. H. Choi, H. M. Jung, M. S. Noh, J. M. Lee, and E. S. Nam, “Efficiency and electron leakage characteristics in GaN-based light-emitting diodes without AlGaN electron-blocking-layer structures,” IEEE Photon. Technol. Lett.23(24), 1866–1868 (2011). [CrossRef]
- E. Kioupakis, P. Rinke, K. T. Delaney, and C. G. Van de Walle, “Indirect Auger recombination as a cause of efficiency droop in nitride light-emitting diodes,” Appl. Phys. Lett.98(16), 161107 (2011). [CrossRef]
- V. K. Malyutenko, S. S. Bolgov, and A. D. Podoltsev, “Current crowding effect on the ideality factor and efficiency droop in blue lateral InGaN/GaN light emitting diodes,” Appl. Phys. Lett.97(25), 251110 (2010). [CrossRef]
- H. Y. Ryu and J. I. Shim, “Structural parameter dependence of light extraction efficiency in photonic crystal InGaN vertical light-emitting diode structures,” IEEE J. Quantum Electron.46(5), 714–720 (2010). [CrossRef]
- J. Piprek, “Efficiency droop in nitride-based light-emitting diodes,” Phys. Status Solidi A207(10), 2217–2225 (2010). [CrossRef]
- Ü. Özgür, H. Liu, X. Li, X. Ni, and H. Morkoç, “GaN-based light-emitting diodes: Efficiency at high injection levels,” Proc. IEEE98(7), 1180–1196 (2010). [CrossRef]
- J. R. Chen, Y. C. Wu, S. C. Ling, T. S. Ko, T. C. Lu, H. C. Kuo, Y. K. Kuo, and S. C. Wang, “Investigation of wavelength-dependent efficiency droop in InGaN light-emitting diodes,” Appl. Phys. B98(4), 779–789 (2010). [CrossRef]
- A. David and M. J. Grundmann, “Droop in InGaN light-emitting diodes: A differential carrier lifetime analysis,” Appl. Phys. Lett.96(10), 103504 (2010). [CrossRef]
- A. Laubsch, M. Sabathil, J. Baur, M. Peter, and B. Hahn, “High-power and high-efficiency InGaN-based light emitters,” IEEE Trans. Electron. Dev.57(1), 79–87 (2010). [CrossRef]
- J. J. Wierer, A. David, and M. M. Megens, “III-nitride photonic-crystal light-emitting diodes with high extraction efficiency,” Nat. Photonics3(3), 163–169 (2009). [CrossRef]
- C. Wiesmann, K. Bergenek, N. Linder, and U. T. Schwarz, “Photonic crystal LEDs – designing light extraction,” Laser Photon. Rev.3(3), 262–286 (2009). [CrossRef]
- M. H. Crawford, “LEDs for solid-state lighting: Performance challenges and recent advances,” IEEE J. Sel. Top. Quantum Electron.15(4), 1028–1040 (2009). [CrossRef]
- H. Y. Ryu, H. S. Kim, and J. I. Shim, “Rate equation analysis of efficiency droop in InGaN light-emitting diodes,” Appl. Phys. Lett.95(8), 081114 (2009). [CrossRef]
- D. H. Long, I. K. Hwang, and S. W. Ryu, “Design optimization of photonic crystal structure for improved light extraction of GaN LED,” IEEE J. Sel. Top. Quantum Electron.15(4), 1257–1263 (2009). [CrossRef]
- Y. Lelikov, N. Bochkareva, R. Gorbunov, I. Martynov, Y. Rebane, D. Tarkin, and Y. Shreter, “Measurement of the absorption coefficient for light laterally propagating in light-emitting diode structures with In0.2Ga0.8N/GaN quantum wells,” Semiconductors42(11), 1342–1345 (2008). [CrossRef]
- S. K. Kim, H. K. Cho, D. K. Bae, J. S. Lee, H. G. Park, and Y. H. Lee, “Efficient GaN slab vertical light-emitting diode covered with a patterned high-index layer,” Appl. Phys. Lett.92(24), 241118 (2008). [CrossRef]
- G. Chen, M. Craven, A. Kim, A. Munkholm, S. Watanabe, M. Camras, W. Gotz, and F. Steranka, “Performance of high-power III-nitride light emitting diodes,” Phys. Status Solidi A205(5), 1086–1092 (2008). [CrossRef]
- X. Ni, Q. Fan, R. Shimada, Ü. Özgür, and H. Morkoç, “Reduction of efficiency droop in InGaN light emitting diodes by coupled quantum wells,” Appl. Phys. Lett.93(17), 171113 (2008). [CrossRef]
- J. Xie, X. Ni, Q. Fan, R. Shimada, U. Ozgur, and H. Morkoc, “On the efficiency droop in InGaN multiple quantum well blue light emitting diodes and its reduction with p-doped quantum well barriers,” Appl. Phys. Lett.93(12), 121107 (2008). [CrossRef]
- H. Kim, K. K. Kim, K. K. Choi, H. Kim, J. O. Song, J. Cho, K. H. Baik, C. Sone, Y. Park, and T.-Y. Seong, “Design of high-efficiency GaN-based light emitting diodes with vertical injection geometry,” Appl. Phys. Lett.91(2), 023510 (2007). [CrossRef]
- Y. C. Shen, G. O. Mueller, S. Watanabe, N. F. Gardner, A. Munkholm, and M. R. Krames, “Auger recombination in InGaN measured by photoluminescence,” Appl. Phys. Lett.91(14), 141101 (2007). [CrossRef]
- H. Hasegawa, Y. Kamimura, K. Edagawa, and I. Yonenaga, “Dislocation-related optical absorption in plastically deformed GaN,” J. Appl. Phys.102(2), 026103 (2007). [CrossRef]
- H. K. Cho, J. Jang, J. H. Choi, J. Choi, J. Kim, J. S. Lee, B. Lee, Y. H. Choe, K. D. Lee, S. H. Kim, K. Lee, S. K. Kim, and Y. H. Lee, “Light extraction enhancement from nano-imprinted photonic crystal GaN-based blue light-emitting diodes,” Opt. Express14(19), 8654–8660 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-19-8654 . [CrossRef] [PubMed]
- Y. Oshima, T. Suzuki, T. Eri, Y. Kawaguchi, K. Watanabe, M. Shibata, and T. Mishima, “Thermal and optical properties of bulk GaN crystals fabricated through hydride vapor phase epitaxy with void-assisted separation,” J. Appl. Phys.98(10), 103509 (2005). [CrossRef]
- E. F. Schubert and J. K. Kim, “Solid-state light sources getting smart,” Science308(5726), 1274–1278 (2005). [CrossRef] [PubMed]
- 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), 855–857 (2004). [CrossRef]
- T. N. Oder, K. H. Kim, J. Y. Lin, and H. X. Jiang, “III-nitride blue and ultraviolet photonic crystal light emitting diodes,” Appl. Phys. Lett.84(4), 466–468 (2004). [CrossRef]
- V. Fiorentini, F. Bernardini, and O. Ambacher, “Evidence for nonlinear macroscopic polarization in III-V nitride alloy heterostructures,” Appl. Phys. Lett.80(7), 1204–1206 (2002). [CrossRef]
- M. Farahmand, C. Garetto, E. Bellotti, K. F. Brennan, M. Goano, E. Ghillino, G. Ghione, J. D. Albrecht, and P. Ruden, “Monte Carlo simulation of electron transport in the III-nitride wurtzite phase materials system: binaries and ternaries,” IEEE Trans. Electron. Dev.48(3), 535–542 (2001). [CrossRef]
- H. Ye, G. W. Wicks, and P. M. Fauchet, “Hot electron relaxation time in GaN,” Appl. Phys. Lett.74(5), 711–713 (1999). [CrossRef]
- W. S. Wong, T. Sands, N. W. Cheung, M. Kneissl, D. P. Bour, P. Mei, L. T. Romano, and N. M. Johnson, “Fabrication of thin-film InGaN light-emitting diode membranes by laser lift-off,” Appl. Phys. Lett.75(10), 1360–1362 (1999). [CrossRef]
- G. Bentoumi, A. Deneuville, B. Beaumont, and P. Gibart, “Influence of Si doping level on the Raman and IR reflectivity spectra and optical absorption spectrum of GaN,” Mater. Sci. Eng. B50(1-3), 142–147 (1997). [CrossRef]
- D. Brunner, H. Angerer, E. Bustarret, F. Freudenberg, R. Hopler, R. Dimitrov, O. Ambacher, and M. Stutzmann, “Optical constants of epitaxial AlGaN films and their temperature dependence,” J. Appl. Phys.82(10), 5090–5096 (1997). [CrossRef]
- G. Yu, G. Wang, H. Ishikawa, M. Umeno, T. Soga, T. Egawa, J. Watanabe, and T. Jimbo, “Optical properties of wurtzite structure GaN on sapphire around fundamental absorption edge (0.78–4.77 eV) by spectroscopic ellipsometry and the optical transmission method,” Appl. Phys. Lett.70(24), 3209–3211 (1997). [CrossRef]
- O. Ambacher, W. Rieger, P. Ansmann, H. Angerer, T. D. Moustakas, and M. Stutzmann, “Sub-bandgap absorption of gallium nitride determined by photothermal deflection spectroscopy,” Solid State Commun.97(5), 365–370 (1996). [CrossRef]
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