Abstract

Modification of the spontaneous-emission lifetime in photonic crystal single-defect resonant modes is studied with the finite-difference time domain method. We investigate spontaneous-emission enhancement from the monopole and the dipole modes of a hexagonal lattice cavity, considering the effects of the finite emitter linewidth and spectral detuning. Large spontaneous-emission enhancement of >50 is achieved numerically from the high-quality-factor monopole mode when the emitter linewidth is comparable with the resonant-mode linewidth. However, if broad-linewidth material is used and a detuning effect is included, the dipole mode with a low quality factor and a smaller mode volume could be more advantageous for spontaneous-emission enhancement.

© 2003 Optical Society of America

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    [CrossRef]
  2. J. Gérard and B. Gayral, Physica E 9, 131 (2001).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  6. T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
    [CrossRef]
  7. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
    [CrossRef] [PubMed]
  8. H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
    [CrossRef]
  9. J. K. Hwang, H. Y. Ryu, and Y. H. Lee, Phys. Rev. B 60, 4688 (1999).
    [CrossRef]
  10. Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
    [CrossRef]
  11. Y. Xu, R. K. Lee, and A. Yariv, Phys. Rev. A 61, 033808 (2000).
    [CrossRef]
  12. R. K. Lee, Y. Xu, and A. Yariv, J. Opt. Soc. Am. B 17, 1438 (2000).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  15. H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
    [CrossRef]
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    [CrossRef] [PubMed]
  17. J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto, Phys. Rev. A 66, 023808 (2002).
    [CrossRef]

2002 (6)

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto, Phys. Rev. A 66, 023808 (2002).
[CrossRef]

W. Fang, J. Y. Xu, A. Yamilov, H. Cao, Y. Ma, S. T. Ho, and G. S. Solomon, Opt. Lett. 27, 948 (2002).
[CrossRef]

C. Hermann and O. Hess, J. Opt. Soc. Am. B 19, 3013 (2002).
[CrossRef]

2001 (3)

J. Gérard and B. Gayral, Physica E 9, 131 (2001).
[CrossRef]

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

G. S. Solomon, M. Pelton, and Y. Yamamoto, Phys. Rev. Lett. 86, 3903 (2001).
[CrossRef] [PubMed]

2000 (2)

Y. Xu, R. K. Lee, and A. Yariv, Phys. Rev. A 61, 033808 (2000).
[CrossRef]

R. K. Lee, Y. Xu, and A. Yariv, J. Opt. Soc. Am. B 17, 1438 (2000).
[CrossRef]

1999 (4)

Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
[CrossRef]

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

J. K. Hwang, H. Y. Ryu, and Y. H. Lee, Phys. Rev. B 60, 4688 (1999).
[CrossRef]

J. Vučković, O. Painter, Y. Xu, A. Yariv, and A. Scherer, IEEE J. Quantum Electron. 35, 1168 (1999).
[CrossRef]

1996 (1)

M. P. van Exter, G. Nienhuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

1946 (1)

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Becher, C.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Cao, H.

Dapkus, P. D.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

Fang, W.

Forchel, A.

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

Gayral, B.

J. Gérard and B. Gayral, Physica E 9, 131 (2001).
[CrossRef]

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Gérard, J.

J. Gérard and B. Gayral, Physica E 9, 131 (2001).
[CrossRef]

Happ, T. D.

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

Hermann, C.

Hess, O.

Ho, S. T.

Hu, E.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Huh, J.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

Hwang, J. K.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

J. K. Hwang, H. Y. Ryu, and Y. H. Lee, Phys. Rev. B 60, 4688 (1999).
[CrossRef]

Imamoglu, A.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Kamp, M.

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

Kim, I.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

Kim, J. S.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

Kim, S. H.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

Kiraz, A.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Kulakovskii, V. D.

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

Lee, R. K.

Y. Xu, R. K. Lee, and A. Yariv, Phys. Rev. A 61, 033808 (2000).
[CrossRef]

R. K. Lee, Y. Xu, and A. Yariv, J. Opt. Soc. Am. B 17, 1438 (2000).
[CrossRef]

Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
[CrossRef]

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

Lee, Y. H.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

J. K. Hwang, H. Y. Ryu, and Y. H. Lee, Phys. Rev. B 60, 4688 (1999).
[CrossRef]

Ma, Y.

Michler, P.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Nienhuis, G.

M. P. van Exter, G. Nienhuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

O'Brien, J. D.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

Painter, O.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

J. Vučković, O. Painter, Y. Xu, A. Yariv, and A. Scherer, IEEE J. Quantum Electron. 35, 1168 (1999).
[CrossRef]

Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
[CrossRef]

Park, H. G.

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

Pelton, M.

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto, Phys. Rev. A 66, 023808 (2002).
[CrossRef]

G. S. Solomon, M. Pelton, and Y. Yamamoto, Phys. Rev. Lett. 86, 3903 (2001).
[CrossRef] [PubMed]

Petroff, P. M.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Purcell, E. M.

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Reithmaier, J. P.

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

Ryu, H. Y.

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

J. K. Hwang, H. Y. Ryu, and Y. H. Lee, Phys. Rev. B 60, 4688 (1999).
[CrossRef]

Scherer, A.

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto, Phys. Rev. A 66, 023808 (2002).
[CrossRef]

Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
[CrossRef]

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

J. Vučković, O. Painter, Y. Xu, A. Yariv, and A. Scherer, IEEE J. Quantum Electron. 35, 1168 (1999).
[CrossRef]

Schoenfeld, W. V.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Solomon, G. S.

Tartakovskii, I. I.

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

van Exter, M. P.

M. P. van Exter, G. Nienhuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

Vuckovic, J.

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto, Phys. Rev. A 66, 023808 (2002).
[CrossRef]

J. Vučković, O. Painter, Y. Xu, A. Yariv, and A. Scherer, IEEE J. Quantum Electron. 35, 1168 (1999).
[CrossRef]

Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
[CrossRef]

Woerdman, J. P.

M. P. van Exter, G. Nienhuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

Xu, J. Y.

Xu, Y.

R. K. Lee, Y. Xu, and A. Yariv, J. Opt. Soc. Am. B 17, 1438 (2000).
[CrossRef]

Y. Xu, R. K. Lee, and A. Yariv, Phys. Rev. A 61, 033808 (2000).
[CrossRef]

Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
[CrossRef]

J. Vučković, O. Painter, Y. Xu, A. Yariv, and A. Scherer, IEEE J. Quantum Electron. 35, 1168 (1999).
[CrossRef]

Yamamoto, Y.

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto, Phys. Rev. A 66, 023808 (2002).
[CrossRef]

G. S. Solomon, M. Pelton, and Y. Yamamoto, Phys. Rev. Lett. 86, 3903 (2001).
[CrossRef] [PubMed]

Yamilov, A.

Yariv, A.

R. K. Lee, Y. Xu, and A. Yariv, J. Opt. Soc. Am. B 17, 1438 (2000).
[CrossRef]

Y. Xu, R. K. Lee, and A. Yariv, Phys. Rev. A 61, 033808 (2000).
[CrossRef]

Y. Xu, J. Vučković, R. K. Lee, O. Painter, A. Scherer, and A. Yariv, J. Opt. Soc. Am. B 16, 465 (1999).
[CrossRef]

J. Vučković, O. Painter, Y. Xu, A. Yariv, and A. Scherer, IEEE J. Quantum Electron. 35, 1168 (1999).
[CrossRef]

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

Zhang, L.

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Appl. Phys. Lett. (2)

A. Kiraz, P. Michler, C. Becher, B. Gayral, A. Imamoglu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

H. Y. Ryu, S. H. Kim, H. G. Park, J. K. Hwang, Y. H. Lee, and J. S. Kim, Appl. Phys. Lett. 80, 3883 (2002).
[CrossRef]

IEEE J. Quantum Electron. (2)

J. Vučković, O. Painter, Y. Xu, A. Yariv, and A. Scherer, IEEE J. Quantum Electron. 35, 1168 (1999).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, IEEE J. Quantum Electron. 38, 1353 (2002).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Lett. (1)

Phys. Rev. (1)

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Phys. Rev. A (3)

M. P. van Exter, G. Nienhuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto, Phys. Rev. A 66, 023808 (2002).
[CrossRef]

Y. Xu, R. K. Lee, and A. Yariv, Phys. Rev. A 61, 033808 (2000).
[CrossRef]

Phys. Rev. B (2)

J. K. Hwang, H. Y. Ryu, and Y. H. Lee, Phys. Rev. B 60, 4688 (1999).
[CrossRef]

T. D. Happ, I. I. Tartakovskii, V. D. Kulakovskii, J. P. Reithmaier, M. Kamp, and A. Forchel, Phys. Rev. B 66, 041303 (2002).
[CrossRef]

Phys. Rev. Lett. (1)

G. S. Solomon, M. Pelton, and Y. Yamamoto, Phys. Rev. Lett. 86, 3903 (2001).
[CrossRef] [PubMed]

Physica E (1)

J. Gérard and B. Gayral, Physica E 9, 131 (2001).
[CrossRef]

Science (1)

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Electric field intensity distributions of resonant modes in the triangular lattice single-defect cavity. (a) Monopole mode. (b) Dipole mode.

Fig. 2
Fig. 2

SE enhancement as a function of dipole decay rate for the tuned case (ωe=ωc). Filled and open circles represent FDTD calculation results, and fitting curves are overlaid on the symbols.

Fig. 3
Fig. 3

SE enhancement as a function of detuning (Δω=ωe-ωc) when the dipole decay rate γe/ωe is 0.001. Calculated results are connected.

Tables (1)

Tables Icon

Table 1 Calculated Mode Parameters

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

E=FPγc2γe+γc41-ωc/ωe2+2γe+γc2Er2Emax2η2,
FP=3Q4π2Veffλn3,

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