Abstract

The study of Lamb shift plays a unique role in quantum electrodynamics because it provides an excellent test of the theory on photonic crystals (PCs). In this Letter, we present the first observation of large Lamb shift in the YBO3:Eu3+ inverse opals fabricated by the polystyrene templating method. In addition, it is very interesting to observe that the luminescent dynamics of Eu3+ decayed with a faster power law (t3), followed by a slower exponential process due to the coexistence of the diffusion field and the propagating field in the PCs.

© 2010 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]

2009

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

2007

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

S. L. Yu, Y. Hung, H. Y. Lin, Y. H. Tseng, Y. F. Chen, and C. Y. Mou, Adv. Mater. 19, 577 (2007).
[CrossRef]

2005

U. Jeong, J. U. KimandY. N. Xia, and Z. Y. Li, Nano Lett. 937 (2005).
[CrossRef] [PubMed]

X. H. Wang and Y. S. Kivshar, Sci. Tech. Adv. Mater. 6, 814 (2005).
[CrossRef]

2004

X. H. Wang, Y. S. Kivshar, and B. Y. Gu, Phys. Rev. Lett. 93, 073901 (2004).
[CrossRef] [PubMed]

F. Lahoz, I. R. Martín, and J. Méndez-Ramos, J. Chem. Phys. 120, 6180 (2004).
[CrossRef] [PubMed]

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

L. Zhou and G. X. Li, Opt. Commun. 230, 347 (2004).
[CrossRef]

2003

X. H. Wang, B. Y. Gu, R. Wang, and H. Q. Xu, Phys. Rev. Lett. 91, 113904 (2003).
[CrossRef] [PubMed]

2002

N. Vats, S. John, and K. Busch, Phys. Rev. A 65, 043808 (2002).
[CrossRef]

2000

Y. P. Yang and S. Y. Zhu, Phys. Rev. A 62, 013805 (2000).
[CrossRef]

J. Zhou, Y. Zhou, S. Buddhudu, S. L. Ng, Y. L. Lam, and C. H. Kam, Appl. Phys. Lett. 76, 3513 (2000).
[CrossRef]

S. G. Romanov, A. V. Fokin, and R. M. De La Rue, Appl. Phys. Lett. 76, 1656 (2000).
[CrossRef]

S. Y. Zhu, Y. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

1998

Y. S. Chan, C. T. Chan, and Z. Y. Liu, Phys. Rev. Lett. 80, 956 (1998).
[CrossRef]

E. P. Petrov, V. N. Bogomolov, I. I. Kalosha, and S. V. Gaponenko, Phys. Rev. Lett. 81, 77 (1998).
[CrossRef]

T. Yamasaki and T. Tsutsui, Appl. Phys. Lett. 72, 1957 (1998).
[CrossRef]

A. Blanco, R. Mayoral, H. Mı´guez, F. Meseguer, A. Mifsud, and J. Herrero, Appl. Phys. Lett. 73, 1781 (1998).
[CrossRef]

1997

T. Quang, M. Woldeyohannes, S. John, and G. S. Agarwal, Phys. Rev. Lett. 79, 5238 (1997).
[CrossRef]

S. John and T. Quang, Phys. Rev. Lett. 78, 1888 (1997).
[CrossRef]

1995

S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
[CrossRef] [PubMed]

1994

S. John and T. Quang, Phys. Rev. A 50, 1764 (1994).
[CrossRef] [PubMed]

1991

S. John and J. Wang, Phys. Rev. B 43, 12772 (1991).
[CrossRef]

1990

K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

P. P. Freitas and S. T. Plaskett, Phys. Rev. Lett. 64, 2184 (1990).
[CrossRef] [PubMed]

S. John and J. Wang, Phys. Rev. Lett. 64, 2418 (1990).
[CrossRef] [PubMed]

1987

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Agarwal, G. S.

T. Quang, M. Woldeyohannes, S. John, and G. S. Agarwal, Phys. Rev. Lett. 79, 5238 (1997).
[CrossRef]

Bai, X.

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

Blanco, A.

A. Blanco, R. Mayoral, H. Mı´guez, F. Meseguer, A. Mifsud, and J. Herrero, Appl. Phys. Lett. 73, 1781 (1998).
[CrossRef]

Bogomolov, V. N.

E. P. Petrov, V. N. Bogomolov, I. I. Kalosha, and S. V. Gaponenko, Phys. Rev. Lett. 81, 77 (1998).
[CrossRef]

Buddhudu, S.

J. Zhou, Y. Zhou, S. Buddhudu, S. L. Ng, Y. L. Lam, and C. H. Kam, Appl. Phys. Lett. 76, 3513 (2000).
[CrossRef]

Busch, K.

N. Vats, S. John, and K. Busch, Phys. Rev. A 65, 043808 (2002).
[CrossRef]

Chan, C. T.

Y. S. Chan, C. T. Chan, and Z. Y. Liu, Phys. Rev. Lett. 80, 956 (1998).
[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Chan, Y. S.

Y. S. Chan, C. T. Chan, and Z. Y. Liu, Phys. Rev. Lett. 80, 956 (1998).
[CrossRef]

Chen, C.

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

Chen, H.

S. Y. Zhu, Y. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Chen, Y. F.

S. L. Yu, Y. Hung, H. Y. Lin, Y. H. Tseng, Y. F. Chen, and C. Y. Mou, Adv. Mater. 19, 577 (2007).
[CrossRef]

De La Rue, R. M.

S. G. Romanov, A. V. Fokin, and R. M. De La Rue, Appl. Phys. Lett. 76, 1656 (2000).
[CrossRef]

Fan, L. B.

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

Fokin, A. V.

S. G. Romanov, A. V. Fokin, and R. M. De La Rue, Appl. Phys. Lett. 76, 1656 (2000).
[CrossRef]

Freitas, P. P.

P. P. Freitas and S. T. Plaskett, Phys. Rev. Lett. 64, 2184 (1990).
[CrossRef] [PubMed]

Gaponenko, S. V.

E. P. Petrov, V. N. Bogomolov, I. I. Kalosha, and S. V. Gaponenko, Phys. Rev. Lett. 81, 77 (1998).
[CrossRef]

Gu, B. Y.

X. H. Wang, Y. S. Kivshar, and B. Y. Gu, Phys. Rev. Lett. 93, 073901 (2004).
[CrossRef] [PubMed]

X. H. Wang, B. Y. Gu, R. Wang, and H. Q. Xu, Phys. Rev. Lett. 91, 113904 (2003).
[CrossRef] [PubMed]

Herrero, J.

A. Blanco, R. Mayoral, H. Mı´guez, F. Meseguer, A. Mifsud, and J. Herrero, Appl. Phys. Lett. 73, 1781 (1998).
[CrossRef]

Ho, K. M.

K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Hung, Y.

S. L. Yu, Y. Hung, H. Y. Lin, Y. H. Tseng, Y. F. Chen, and C. Y. Mou, Adv. Mater. 19, 577 (2007).
[CrossRef]

Irman, A.

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

Jeong, U.

U. Jeong, J. U. KimandY. N. Xia, and Z. Y. Li, Nano Lett. 937 (2005).
[CrossRef] [PubMed]

John, S.

N. Vats, S. John, and K. Busch, Phys. Rev. A 65, 043808 (2002).
[CrossRef]

S. John and T. Quang, Phys. Rev. Lett. 78, 1888 (1997).
[CrossRef]

T. Quang, M. Woldeyohannes, S. John, and G. S. Agarwal, Phys. Rev. Lett. 79, 5238 (1997).
[CrossRef]

S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
[CrossRef] [PubMed]

S. John and T. Quang, Phys. Rev. A 50, 1764 (1994).
[CrossRef] [PubMed]

S. John and J. Wang, Phys. Rev. B 43, 12772 (1991).
[CrossRef]

S. John and J. Wang, Phys. Rev. Lett. 64, 2418 (1990).
[CrossRef] [PubMed]

Kalosha, I. I.

E. P. Petrov, V. N. Bogomolov, I. I. Kalosha, and S. V. Gaponenko, Phys. Rev. Lett. 81, 77 (1998).
[CrossRef]

Kam, C. H.

J. Zhou, Y. Zhou, S. Buddhudu, S. L. Ng, Y. L. Lam, and C. H. Kam, Appl. Phys. Lett. 76, 3513 (2000).
[CrossRef]

Kimand, J. U.

U. Jeong, J. U. KimandY. N. Xia, and Z. Y. Li, Nano Lett. 937 (2005).
[CrossRef] [PubMed]

Kivshar, Y. S.

X. H. Wang and Y. S. Kivshar, Sci. Tech. Adv. Mater. 6, 814 (2005).
[CrossRef]

X. H. Wang, Y. S. Kivshar, and B. Y. Gu, Phys. Rev. Lett. 93, 073901 (2004).
[CrossRef] [PubMed]

Lahoz, F.

F. Lahoz, I. R. Martín, and J. Méndez-Ramos, J. Chem. Phys. 120, 6180 (2004).
[CrossRef] [PubMed]

Lam, Y. L.

J. Zhou, Y. Zhou, S. Buddhudu, S. L. Ng, Y. L. Lam, and C. H. Kam, Appl. Phys. Lett. 76, 3513 (2000).
[CrossRef]

Lei, Y. Q.

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

Li, G. X.

L. Zhou and G. X. Li, Opt. Commun. 230, 347 (2004).
[CrossRef]

Li, L. L.

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

Li, Z. X.

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

Li, Z. Y.

U. Jeong, J. U. KimandY. N. Xia, and Z. Y. Li, Nano Lett. 937 (2005).
[CrossRef] [PubMed]

Lin, H. Y.

S. L. Yu, Y. Hung, H. Y. Lin, Y. H. Tseng, Y. F. Chen, and C. Y. Mou, Adv. Mater. 19, 577 (2007).
[CrossRef]

Liu, Z. X.

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

Liu, Z. Y.

Y. S. Chan, C. T. Chan, and Z. Y. Liu, Phys. Rev. Lett. 80, 956 (1998).
[CrossRef]

Lodahl, P.

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

Martín, I. R.

F. Lahoz, I. R. Martín, and J. Méndez-Ramos, J. Chem. Phys. 120, 6180 (2004).
[CrossRef] [PubMed]

Mayoral, R.

A. Blanco, R. Mayoral, H. Mı´guez, F. Meseguer, A. Mifsud, and J. Herrero, Appl. Phys. Lett. 73, 1781 (1998).
[CrossRef]

Méndez-Ramos, J.

F. Lahoz, I. R. Martín, and J. Méndez-Ramos, J. Chem. Phys. 120, 6180 (2004).
[CrossRef] [PubMed]

Meseguer, F.

A. Blanco, R. Mayoral, H. Mı´guez, F. Meseguer, A. Mifsud, and J. Herrero, Appl. Phys. Lett. 73, 1781 (1998).
[CrossRef]

Mi´guez, H.

A. Blanco, R. Mayoral, H. Mı´guez, F. Meseguer, A. Mifsud, and J. Herrero, Appl. Phys. Lett. 73, 1781 (1998).
[CrossRef]

Mifsud, A.

A. Blanco, R. Mayoral, H. Mı´guez, F. Meseguer, A. Mifsud, and J. Herrero, Appl. Phys. Lett. 73, 1781 (1998).
[CrossRef]

Mou, C. Y.

S. L. Yu, Y. Hung, H. Y. Lin, Y. H. Tseng, Y. F. Chen, and C. Y. Mou, Adv. Mater. 19, 577 (2007).
[CrossRef]

Ng, S. L.

J. Zhou, Y. Zhou, S. Buddhudu, S. L. Ng, Y. L. Lam, and C. H. Kam, Appl. Phys. Lett. 76, 3513 (2000).
[CrossRef]

Nikolaev, I. S.

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

Overgaag, K.

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

Pan, G. H.

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

Petrov, E. P.

E. P. Petrov, V. N. Bogomolov, I. I. Kalosha, and S. V. Gaponenko, Phys. Rev. Lett. 81, 77 (1998).
[CrossRef]

Plaskett, S. T.

P. P. Freitas and S. T. Plaskett, Phys. Rev. Lett. 64, 2184 (1990).
[CrossRef] [PubMed]

Quang, T.

T. Quang, M. Woldeyohannes, S. John, and G. S. Agarwal, Phys. Rev. Lett. 79, 5238 (1997).
[CrossRef]

S. John and T. Quang, Phys. Rev. Lett. 78, 1888 (1997).
[CrossRef]

S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
[CrossRef] [PubMed]

S. John and T. Quang, Phys. Rev. A 50, 1764 (1994).
[CrossRef] [PubMed]

Romanov, S. G.

S. G. Romanov, A. V. Fokin, and R. M. De La Rue, Appl. Phys. Lett. 76, 1656 (2000).
[CrossRef]

Song, H. W.

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

Soukoulis, C. M.

K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Sun, L. D.

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

Tseng, Y. H.

S. L. Yu, Y. Hung, H. Y. Lin, Y. H. Tseng, Y. F. Chen, and C. Y. Mou, Adv. Mater. 19, 577 (2007).
[CrossRef]

Tsutsui, T.

T. Yamasaki and T. Tsutsui, Appl. Phys. Lett. 72, 1957 (1998).
[CrossRef]

van Driel, A. F.

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

Vanmaekelbergh, D. L.

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

Vats, N.

N. Vats, S. John, and K. Busch, Phys. Rev. A 65, 043808 (2002).
[CrossRef]

Vos, W. L.

P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
[CrossRef] [PubMed]

Wang, J.

S. John and J. Wang, Phys. Rev. B 43, 12772 (1991).
[CrossRef]

S. John and J. Wang, Phys. Rev. Lett. 64, 2418 (1990).
[CrossRef] [PubMed]

Wang, R.

X. H. Wang, B. Y. Gu, R. Wang, and H. Q. Xu, Phys. Rev. Lett. 91, 113904 (2003).
[CrossRef] [PubMed]

Wang, X. H.

X. H. Wang and Y. S. Kivshar, Sci. Tech. Adv. Mater. 6, 814 (2005).
[CrossRef]

X. H. Wang, Y. S. Kivshar, and B. Y. Gu, Phys. Rev. Lett. 93, 073901 (2004).
[CrossRef] [PubMed]

X. H. Wang, B. Y. Gu, R. Wang, and H. Q. Xu, Phys. Rev. Lett. 91, 113904 (2003).
[CrossRef] [PubMed]

Woldeyohannes, M.

T. Quang, M. Woldeyohannes, S. John, and G. S. Agarwal, Phys. Rev. Lett. 79, 5238 (1997).
[CrossRef]

Xia, Y. N.

U. Jeong, J. U. KimandY. N. Xia, and Z. Y. Li, Nano Lett. 937 (2005).
[CrossRef] [PubMed]

Xu, H. Q.

X. H. Wang, B. Y. Gu, R. Wang, and H. Q. Xu, Phys. Rev. Lett. 91, 113904 (2003).
[CrossRef] [PubMed]

Yablonovitch, E.

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Yamasaki, T.

T. Yamasaki and T. Tsutsui, Appl. Phys. Lett. 72, 1957 (1998).
[CrossRef]

Yan, C. H.

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

Yang, Y.

S. Y. Zhu, Y. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Yang, Y. P.

Y. P. Yang and S. Y. Zhu, Phys. Rev. A 62, 013805 (2000).
[CrossRef]

Yu, L. X.

G. H. Pan, H. W. Song, L. X. Yu, Z. X. Liu, X. Bai, Y. Q. Lei, and L. B. Fan, J. Lumin. 122–123, 882 (2007).
[CrossRef]

Yu, S. L.

S. L. Yu, Y. Hung, H. Y. Lin, Y. H. Tseng, Y. F. Chen, and C. Y. Mou, Adv. Mater. 19, 577 (2007).
[CrossRef]

Yuan, Q.

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

Zheng, H.

S. Y. Zhu, Y. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Zhou, H. P.

Z. X. Li, L. L. Li, H. P. Zhou, Q. Yuan, C. Chen, L. D. Sun, and C. H. Yan, Chem. Commun. 43, 6616 (2009).
[CrossRef]

Zhou, J.

J. Zhou, Y. Zhou, S. Buddhudu, S. L. Ng, Y. L. Lam, and C. H. Kam, Appl. Phys. Lett. 76, 3513 (2000).
[CrossRef]

Zhou, L.

L. Zhou and G. X. Li, Opt. Commun. 230, 347 (2004).
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Figures (3)

Fig. 1
Fig. 1

Transmittance spectra of the PC sample collected at the normal direction; insets are the XRD patterns of the sample PCs and the REF sample and the SEM image of the inverse opal PCs.

Fig. 2
Fig. 2

(a) PL spectra of PC sample and the REF sample. (b) Emission band of the D 0 5 F 0 7 and D 0 5 F 1 7 fitting with a Gaussian function. (c) Emission band of the D 0 5 F 2 7 . (d) Emission band of the D 0 5 F 4 7 . (e) Lamb shift computed through the pseudogap model.

Fig. 3
Fig. 3

(a) Typical decay curves of the PCs and REF samples. The dots are experimental data, and the solid curves are fitting functions. (b) Dependence of spontaneous emission rates in the PC and REF samples on emission wavelength.

Equations (3)

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δ Lamb = ω 21 β P 0 ω e d ω N l ( ω ) ( ω ) 2 ( ω 21 ω ) ,
I = I 1 t 3 + I 2 exp ( α t ) ,
α fast = 0 I ( t ) d t 0 I ( t ) t d t ,

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