## Lifetime distribution of spontaneous emission from emitter(s) in three-dimensional woodpile photonic crystals |

Optics Express, Vol. 19, Issue 12, pp. 11623-11630 (2011)

http://dx.doi.org/10.1364/OE.19.011623

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### Abstract

Spontaneous emission lifetime distribution in the basic unit cell or on a plane of the excited emitters embedded in woodpile photonics crystals with low refractive index contrast are investigated. It is found that the spontaneous emission lifetime distribution strongly depends on the position and transition frequency of the emitters, and has the same symmetry as that of the unit cell. The lifetimes of emitters near the upper gap edge are longer than that in the center of the pseudo-gap, which is quite a contrast to the conventional concept. Furthermore, it is revealed that the polarization orientation of the emitters has significant influence on the lifetime distribution, and may result in a high anisotropy factor (defined as the difference between the maximum and minimum values of the lifetime) up to 4.2. These results may be supplied in probing the lifetime distribution or orientation-dependent local density of states in future experiments.

© 2011 OSA

**OCIS Codes**

(270.0270) Quantum optics : Quantum optics

(230.5298) Optical devices : Photonic crystals

**ToC Category:**

Photonic Crystals

**History**

Original Manuscript: April 20, 2011

Manuscript Accepted: May 23, 2011

Published: June 1, 2011

**Citation**

Jing-Feng Liu, Hao-Xiang Jiang, Zong-Song Gan, Bao-Hua Jia, Chong-Jun Jin, Xue-Hua Wang, and Min Gu, "Lifetime distribution of spontaneous emission from emitter(s) in three-dimensional woodpile photonic crystals," Opt. Express **19**, 11623-11630 (2011)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-12-11623

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### References

- E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987). [PubMed]
- S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987). [PubMed]
- E. P. Petrov, V. N. Bogomolov, I. I. Kalosha, and S. V. Gaponenko, “Spontaneous emission of organic molecules embedded in a photonic crystal,” Phys. Rev. Lett. 81(1), 77–80 (1998).
- M. Megens, J. E. G. J. Wijnhoven, A. Lagendijk, and W. L. Vos, “Fluorescence lifetimes and linewidths of dye in photonic crystals,” Phys. Rev. A 59(6), 4727–4731 (1999).
- S. John and J. Wang, “Quantum optics of localized light in a photonic band gap,” Phys. Rev. B Condens. Matter 43(16), 12772–12789 (1991). [PubMed]
- S. Bay, P. Lambropoulos, and K. Mølmer, “Fluorescence into flat and structured radiation continua: an atomic density matrix without a master equation,” Phys. Rev. Lett. 79(14), 2654–2657 (1997).
- S.-Y. Zhu, Y. Yang, H. Chen, H. Zheng, and M. S. Zubairy, “Spontaneous radiation and lamb shift in three-dimensional photonic crystals,” Phys. Rev. Lett. 84(10), 2136–2139 (2000). [PubMed]
- H.-G. Park, S.-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, “Electrically driven single-cell photonic crystal laser,” Science 305(5689), 1444–1447 (2004). [PubMed]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, “Quantum nature of a strongly coupled single quantum dot-cavity system,” Nature 445(7130), 896–899 (2007). [PubMed]
- J. J. Wierer, A. David, and M. M. Megens, “III-nitride photonic-crystal light-emitting diodes with high extraction efficiency,” Nat. Photonics 3(3), 163–169 (2009).
- X.-H. Wang, R. Wang, B.-Y. Gu, and G.-Z. Yang, “Decay distribution of spontaneous emission from an assembly of atoms in photonic crystals with pseudogaps,” Phys. Rev. Lett. 88(9), 093902 (2002). [PubMed]
- X.-H. Wang, B.-Y. Gu, R. Wang, and H.-Q. Xu, “Decay kinetic properties of atoms in photonic crystals with absolute gaps,” Phys. Rev. Lett. 91(11), 113904 (2003). [PubMed]
- Z.-Y. Li, L.-L. Lin, and Z.-Q. Zhang, “Spontaneous emission from photonic crystals: full vectorial calculations,” Phys. Rev. Lett. 84(19), 4341–4344 (2000). [PubMed]
- K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: new layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
- S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature 394(6690), 251–253 (1998).
- S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, “Full three-dimensional photonic bandgap crystals at near-infrared wavelengths,” Science 289(5479), 604–606 (2000). [PubMed]
- K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater. 2(2), 117–121 (2003). [PubMed]
- J. Li, B. Jia, G. Zhou, C. Bullen, J. Serbin, and M. Gu, “Spectral redistribution in spontaneous emission from quantum-dot-infiltrated 3D woodpile photonic crystals for telecommunications,” Adv. Mater. (Deerfield Beach Fla.) 19(20), 3276–3280 (2007).
- M. Gu, B. Jia, J. Li, and M. J. Ventura, “Fabrication of three-dimensional photonic crystals in quantum-dot-based materials,” Laser Photon. Rev. 4(3), 414–431 (2010).
- S. Takahashi, K. Suzuki, M. Okano, M. Imada, T. Nakamori, Y. Ota, K. Ishizaki, and S. Noda, “Direct creation of three-dimensional photonic crystals by a top-down approach,” Nat. Mater. 8(9), 721–725 (2009). [PubMed]
- K. Ishizaki and S. Noda, “Manipulation of photons at the surface of three-dimensional photonic crystals,” Nature 460(7253), 367–370 (2009). [PubMed]
- M. J. Ventura and M. Gu, “Engineering spontaneous emission in a quantum-dot-doped polymer nanocomposite with three-dimensional photonic crystals,” Adv. Mater. (Deerfield Beach Fla.) 20(7), 1329–1332 (2008).
- L. Tang and T. Yoshie, “High-Q hybrid 3D-2D slab-3D photonic crystal microcavity,” Opt. Lett. 35(18), 3144–3146 (2010). [PubMed]
- A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics 5(2), 91–94 (2011).
- R. Wang, X.-H. Wang, B.-Y. Gu, and G.-Z. Yang, “Local density of states in three-dimensional photonic crystals: calculation and enhancement effects,” Phys. Rev. B 67(15), 155114 (2003).
- M. D. Birowosuto, S. E. Skipetrov, W. L. Vos, and A. P. Mosk, “Observation of spatial fluctuations of the local density of states in random photonic media,” Phys. Rev. Lett. 105(1), 013904 (2010). [PubMed]
- V. Krachmalnicoff, E. Castanié, Y. De Wilde, and R. Carminati, “Fluctuations of the local density of states probe localized surface plasmons on disordered metal films,” Phys. Rev. Lett. 105(18), 183901 (2010).
- K. Busch and S. John, “Photonic band gap formation in certain self-organizing systems,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(3), 3896–3908 (1998).
- I. S. Nikolaev, W. L. Vos, and A. F. Koenderink, “Accurate calculation of the local density of optical states in inverse-opal photonic crystals,” J. Opt. Soc. Am. B 26(5), 987–997 (2009).
- J.- Liu and X.-H. Wang, “Spontaneous emission in micro- and nano-structures,” Front. Phys. China 5(3), 245–259 (2010).
- Q. Wang, S. Stobbe, H. Thyrrestrup, H. Hofmann, M. Kamp, T. W. Schlereth, S. Höfling, and P. Lodahl, “Highly anisotropic decay rates of single quantum dots in photonic crystal membranes,” Opt. Lett. 35(16), 2768–2770 (2010). [PubMed]
- H. J. Monkhorst and J. D. Pack, “Special points for Brillouin-zone integrations,” Phys. Rev. B 13(12), 5188–5192 (1976).
- W. L. Vos, A. F. Koenderink, and I. S. Nikolaev, “Orientation-dependent spontaneous emission rates of a two-level quantum emitter in any nanophotonic environment,” Phys. Rev. A 80(5), 053802 (2009).

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