Applied Physics A

, Volume 117, Issue 4, pp 1879–1884 | Cite as

Effect of guided resonance modes on emission from GaN core–shell nanorod arrays

  • P. Duke Anderson
  • Chenxi Lin
  • Michelle L. Povinelli


We model the process of incoherent emission from \(\hbox {In}_{x}\hbox {Ga}_{1-x}\hbox {N/GaN}\) quantum wells in GaN core–shell nanorod arrays using finite-difference time-domain simulations. We find that high-intensity features in the emitted field correspond to guided resonance modes near the \(\varGamma \)-point of the photonic band structure. We identify one \(\varGamma \)-point mode whose electric field intensity profile is ideal for core–shell nanorod array geometries. Using this mode, we are able to simultaneously enhance the radiative recombination rate and extraction efficiency relative to an in-filled slab. We determine the conditions on radiative and nonradiative recombination rates for which the nanorod array has a higher internal and external quantum efficiency than a reference slab. We present one nanorod array geometry where the external quantum efficiency is enhanced up to a factor of 25.


  1. 1.
    T. Takeuchi, H. Takeuchi, S. Sota, H. Sakai, H. Amano, I. Akasaki, Jpn. J. Appl. Phys. 36, L177–L179 (1997)ADSCrossRefGoogle Scholar
  2. 2.
    T.-W. Yeh, Y.-T. Lin, B. Ahn, L.S. Stewart, P.D. Dapkus, S.R. Nutt, Appl. Phys. Lett. 100, 033119 (2012)ADSCrossRefGoogle Scholar
  3. 3.
    H. Zhong, A. Tyagi, N.N. Fellows, F. Wu, R.B. Chung, M. Saito, K. Fujito, J.S. Speck, S.P. DenBaars, S. Nakamura, Appl. Phys. Lett. 90, 233504–233503 (2007)ADSCrossRefGoogle Scholar
  4. 4.
    P. Waltereit, O. Brandt, A. Trampert, H.T. Grahn, J. Menniger, M. Ramsteiner, M. Reiche, K.H. Ploog, Nature 406, 865–868 (2000)ADSCrossRefGoogle Scholar
  5. 5.
    S. Li, A. Waag, J. Appl. Phys. 111, 071101 (2012)ADSCrossRefGoogle Scholar
  6. 6.
    T.-W. Yeh, Y.-T. Lin, L.S. Stewart, P.D. Dapkus, R. Sarkissian, J. D. OBrien, B. Ahn and S. R. Nutt. Nano Lett. 12, 3257–3262 (2012)CrossRefGoogle Scholar
  7. 7.
    C. Wiesmann, K. Bergenek, N. Linder, U.T. Schwarz, Laser Photon. Rev. 3, 262–286 (2009)CrossRefGoogle Scholar
  8. 8.
    J.J. Wierer, A. David, M.M. Megens, Nat. Photon. 3, 163–169 (2009)ADSCrossRefGoogle Scholar
  9. 9.
    A.A. Erchak, D.J. Ripin, S. Fan, P. Rakich, J.D. Joannopoulos, E.P. Ippen, G.S. Petrich, L.A. Kolodziejski, Appl. Phys. Lett. 78, 563–565 (2001)ADSCrossRefGoogle Scholar
  10. 10.
    S. Fan, P.R. Villeneuve, J.D. Joannopoulos, E.F. Schubert, Phys. Rev. Lett. 78, 3294–3297 (1997)ADSCrossRefGoogle Scholar
  11. 11.
    R.K. Lee, Y. Xu, A. Yariv, J. Opt. Soc. Am. B 17, 1438–1442 (2000)ADSCrossRefGoogle Scholar
  12. 12.
    M. Fujita, S. Takahashi, Y. Tanaka, T. Asano, S. Noda, Science 308, 1296–1298 (2005)ADSCrossRefGoogle Scholar
  13. 13.
    A. David, H. Benisty, C. Weisbuch, Opt. Express 15, 17991–18004 (2007)ADSCrossRefGoogle Scholar
  14. 14.
    S.L. Diedenhofen, O.T.A. Janssen, M. Hocevar, A. Pierret, E.P.A.M. Bakkers, H.P. Urbach, J. Gmez Rivas, and. ACS Nano 5, 5830–5837 (2011)CrossRefGoogle Scholar
  15. 15.
    C. Klper, M. Sabathil, F. Rmer, M. Mandl, M. Strassburg, B. Witzigmann, Phys. Status Solidi A 209, 2304–2312 (2012)ADSCrossRefGoogle Scholar
  16. 16.
    C. Xu, R. Biswas, K.-M. Ho, Opt. Commun. 287, 250–253 (2013)ADSCrossRefGoogle Scholar
  17. 17.
    S. Fan, J.D. Joannopoulos, Phys. Rev. B 65, 235112 (2002)ADSCrossRefGoogle Scholar
  18. 18.
    S.G. Tikhodeev, A.L. Yablonskii, E.A. Muljarov, N.A. Gippius, T. Ishihara, Phys. Rev. B 66, 045102 (2002)ADSCrossRefGoogle Scholar
  19. 19.
    T. Kouno, K. Kishino, K. Yamano, A. Kikuchi, Opt. Express 17, 20440–20447 (2009)ADSCrossRefGoogle Scholar
  20. 20.
    J. B. Wright, S. Liu, G. T. Wang, Q. Li, A. Benz, D. D. Koleske, P. Lu, H. Xu, L. Lester, T. S. Luk, I. Brener, and G. Subramania, Sci. Rep. 3 (2013)Google Scholar
  21. 21.
    H.-Y. Ryu, J. Korean, Phys. Soc. 58, 878–882 (2011)Google Scholar
  22. 22.
    Y. Xu, J.S. Vukovi, R.K. Lee, O.J. Painter, A. Scherer, A. Yariv, J. Opt. Soc. Am. B 16, 465–474 (1999)ADSCrossRefGoogle Scholar
  23. 23.
    S. Adachi, Optical Constants of Crystalline and Amorphous Semiconductors (Kluwer, Norwell, 1999)CrossRefGoogle Scholar
  24. 24.
    S.G. Johnson, S. Fan, P.R. Villeneuve, J.D. Joannopoulos, L.A. Kolodziejski, Phys. Rev. B 60, 5751–5758 (1999)ADSCrossRefGoogle Scholar
  25. 25.
    K. Sakoda, Phys. Rev. B 52, 7982–7986 (1995)ADSCrossRefGoogle Scholar
  26. 26.
    J.O. Grepstad, M.M. Greve, B. Holst, I.-R. Johansen, O. Solgaard, A. Sudb, Opt. Express 21, 23640–23654 (2013)CrossRefGoogle Scholar
  27. 27.
    E. Miyai, K. Sakai, T. Okano, W. Kunishi, D. Ohnishi, and S. Noda Nature 441 (2006)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • P. Duke Anderson
    • 1
  • Chenxi Lin
    • 1
  • Michelle L. Povinelli
    • 1
  1. 1.University of Southern CaliforniaLos AngelesUSA

Personalised recommendations