Abstract

We study the process of spontaneous parametric downconversion in a one-dimensional defective quadratic nonlinear photonic crystal. It is shown that the strong confinements of both the pump and signal waves around the defective layer result in a giant enhancement of the entangled photon-pair generation. An enhancement factor as high as 3.4×106 is obtained in our defective structure based on the dual-localized modes. Furthermore, the linewidth of the downconverted fields is only 0.1nm. Such a photonic crystal structure can be applied as a highly efficient source of entangled photon pairs for highly integrated all-optical circuits.

© 2007 Optical Society of America

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  1. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).
  2. P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
    [CrossRef]
  3. M. J. A. de Dood, W. T. M. Irvine, and D. Bouwmeester, "Nonlinear photonic crystals as source of entangled photons," Phys. Rev. Lett. 93, 040504 (2004).
    [CrossRef] [PubMed]
  4. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
    [CrossRef] [PubMed]
  5. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
    [CrossRef] [PubMed]
  6. K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).
  7. S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B 48, 14936-14943 (1993).
    [CrossRef]
  8. A. A. Krokhin, P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals," Phys. Rev. B 65, 115208 (2002).
    [CrossRef]
  9. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1976).
  10. A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, andM. C. Teich, "Theory of spontaneous parametric down-conversion from photonic crystals," Phys. Rev. A 70, 043810 (2004).
    [CrossRef]
  11. G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
    [CrossRef]
  12. W. T. M. Irvine, M. J. A. de Dood, and D. Bouwmeester, "Bloch theory of entangled photon generation in nonlinear photonic crystals," Phys. Rev. A 72, 043815 (2005).
    [CrossRef]
  13. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, 1984).
  14. M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
    [CrossRef]
  15. M. Bahl, N.-C. Panoiu, and R. M. Osgood. Jr., "Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects," Phys. Rev. E 67, 056604 (2003).
    [CrossRef]
  16. J. Martorell and R. Corbalan, "Enhancement of second harmonic generation in a periodic structure with a defect," Opt. Commun. 108, 319-323 (1994).
    [CrossRef]
  17. J. Trull, R. Vilaseca, J. Martorell, and R. Corbalan, "Second-harmonic generation in local modes of a truncated periodic structure," Opt. Lett. 20, 1746-1748 (1995).
    [CrossRef] [PubMed]
  18. B. Shi, Z. M. Jiang, and X. Wang, "Defective photonic crystals with greatly enhanced second-harmonic generation," Opt. Lett. 26, 1194-1196 (2001).
    [CrossRef]
  19. F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
    [CrossRef]
  20. Y. Zeng, X. Chen, and W. Lu, "Optical limiting in defective quadratic nonlinear photonic crystals," J. Appl. Phys. 99, 123107 (2006).
    [CrossRef]
  21. Y. Jeong and B. Lee, "Matrix analysis for layered quasi-phase-matched media considering multiple reflection and pump wave depletion," IEEE J. Quantum Electron. 35, 162-178 (1999).
    [CrossRef]
  22. G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
    [CrossRef]

2006

Y. Zeng, X. Chen, and W. Lu, "Optical limiting in defective quadratic nonlinear photonic crystals," J. Appl. Phys. 99, 123107 (2006).
[CrossRef]

2005

W. T. M. Irvine, M. J. A. de Dood, and D. Bouwmeester, "Bloch theory of entangled photon generation in nonlinear photonic crystals," Phys. Rev. A 72, 043815 (2005).
[CrossRef]

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

2004

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

M. J. A. de Dood, W. T. M. Irvine, and D. Bouwmeester, "Nonlinear photonic crystals as source of entangled photons," Phys. Rev. Lett. 93, 040504 (2004).
[CrossRef] [PubMed]

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, andM. C. Teich, "Theory of spontaneous parametric down-conversion from photonic crystals," Phys. Rev. A 70, 043810 (2004).
[CrossRef]

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

2003

M. Bahl, N.-C. Panoiu, and R. M. Osgood. Jr., "Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects," Phys. Rev. E 67, 056604 (2003).
[CrossRef]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

2002

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

A. A. Krokhin, P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals," Phys. Rev. B 65, 115208 (2002).
[CrossRef]

2001

1999

Y. Jeong and B. Lee, "Matrix analysis for layered quasi-phase-matched media considering multiple reflection and pump wave depletion," IEEE J. Quantum Electron. 35, 162-178 (1999).
[CrossRef]

1995

1994

J. Martorell and R. Corbalan, "Enhancement of second harmonic generation in a periodic structure with a defect," Opt. Commun. 108, 319-323 (1994).
[CrossRef]

1993

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B 48, 14936-14943 (1993).
[CrossRef]

1987

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Alber, G.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Arriaga, J.

A. A. Krokhin, P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals," Phys. Rev. B 65, 115208 (2002).
[CrossRef]

Atature, M.

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

Bahl, M.

M. Bahl, N.-C. Panoiu, and R. M. Osgood. Jr., "Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects," Phys. Rev. E 67, 056604 (2003).
[CrossRef]

Bertolotti, M.

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Beth, T.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Bloemer, M. J.

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Bouwmeester, D.

W. T. M. Irvine, M. J. A. de Dood, and D. Bouwmeester, "Bloch theory of entangled photon generation in nonlinear photonic crystals," Phys. Rev. A 72, 043815 (2005).
[CrossRef]

M. J. A. de Dood, W. T. M. Irvine, and D. Bouwmeester, "Nonlinear photonic crystals as source of entangled photons," Phys. Rev. Lett. 93, 040504 (2004).
[CrossRef] [PubMed]

Bowden, C. M.

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Centini, M.

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Chan, C. T.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B 48, 14936-14943 (1993).
[CrossRef]

Chen, X.

Y. Zeng, X. Chen, and W. Lu, "Optical limiting in defective quadratic nonlinear photonic crystals," J. Appl. Phys. 99, 123107 (2006).
[CrossRef]

Cheng, C.

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Corbalan, R.

J. Trull, R. Vilaseca, J. Martorell, and R. Corbalan, "Second-harmonic generation in local modes of a truncated periodic structure," Opt. Lett. 20, 1746-1748 (1995).
[CrossRef] [PubMed]

J. Martorell and R. Corbalan, "Enhancement of second harmonic generation in a periodic structure with a defect," Opt. Commun. 108, 319-323 (1994).
[CrossRef]

D'Aguanno, G.

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Datta, S.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B 48, 14936-14943 (1993).
[CrossRef]

de Dood, M. J. A.

W. T. M. Irvine, M. J. A. de Dood, and D. Bouwmeester, "Bloch theory of entangled photon generation in nonlinear photonic crystals," Phys. Rev. A 72, 043815 (2005).
[CrossRef]

M. J. A. de Dood, W. T. M. Irvine, and D. Bouwmeester, "Nonlinear photonic crystals as source of entangled photons," Phys. Rev. Lett. 93, 040504 (2004).
[CrossRef] [PubMed]

Giuseppe, G. D.

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

Halevi, P.

A. A. Krokhin, P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals," Phys. Rev. B 65, 115208 (2002).
[CrossRef]

Hirao, K.

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Ho, K. M.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B 48, 14936-14943 (1993).
[CrossRef]

Horodecki, M.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Horodecki, P.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Horodecki, R.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Irvine, W. T. M.

W. T. M. Irvine, M. J. A. de Dood, and D. Bouwmeester, "Bloch theory of entangled photon generation in nonlinear photonic crystals," Phys. Rev. A 72, 043815 (2005).
[CrossRef]

M. J. A. de Dood, W. T. M. Irvine, and D. Bouwmeester, "Nonlinear photonic crystals as source of entangled photons," Phys. Rev. Lett. 93, 040504 (2004).
[CrossRef] [PubMed]

Jeong, Y.

Y. Jeong and B. Lee, "Matrix analysis for layered quasi-phase-matched media considering multiple reflection and pump wave depletion," IEEE J. Quantum Electron. 35, 162-178 (1999).
[CrossRef]

Jiang, Z. M.

John, S.

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Krokhin, A. A.

A. A. Krokhin, P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals," Phys. Rev. B 65, 115208 (2002).
[CrossRef]

Kumar, P.

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

Kwiat, P.

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

Lee, B.

Y. Jeong and B. Lee, "Matrix analysis for layered quasi-phase-matched media considering multiple reflection and pump wave depletion," IEEE J. Quantum Electron. 35, 162-178 (1999).
[CrossRef]

Li, R.

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Lu, W.

Y. Zeng, X. Chen, and W. Lu, "Optical limiting in defective quadratic nonlinear photonic crystals," J. Appl. Phys. 99, 123107 (2006).
[CrossRef]

Martorell, J.

J. Trull, R. Vilaseca, J. Martorell, and R. Corbalan, "Second-harmonic generation in local modes of a truncated periodic structure," Opt. Lett. 20, 1746-1748 (1995).
[CrossRef] [PubMed]

J. Martorell and R. Corbalan, "Enhancement of second harmonic generation in a periodic structure with a defect," Opt. Commun. 108, 319-323 (1994).
[CrossRef]

Migdall, A.

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

Nam, S. W.

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

Osgood., R. M.

M. Bahl, N.-C. Panoiu, and R. M. Osgood. Jr., "Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects," Phys. Rev. E 67, 056604 (2003).
[CrossRef]

Panoiu, N.-C.

M. Bahl, N.-C. Panoiu, and R. M. Osgood. Jr., "Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects," Phys. Rev. E 67, 056604 (2003).
[CrossRef]

Perina., J.

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

Qiu, J.

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Ren, F. F.

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Rötteler, M.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Sakoda, K.

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).

Saleh, B. E. A.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, andM. C. Teich, "Theory of spontaneous parametric down-conversion from photonic crystals," Phys. Rev. A 70, 043810 (2004).
[CrossRef]

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

Scalora, M.

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Sciscione, L.

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

Sergienko, A. V.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, andM. C. Teich, "Theory of spontaneous parametric down-conversion from photonic crystals," Phys. Rev. A 70, 043810 (2004).
[CrossRef]

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

Shaw, M. D.

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

Shen, Y. R.

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, 1984).

Shi, B.

Si, J.

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Sibilia, C.

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Soukoulis, C. M.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B 48, 14936-14943 (1993).
[CrossRef]

Teich, M. C.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, andM. C. Teich, "Theory of spontaneous parametric down-conversion from photonic crystals," Phys. Rev. A 70, 043810 (2004).
[CrossRef]

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

Trull, J.

Vamivakas, A. N.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, andM. C. Teich, "Theory of spontaneous parametric down-conversion from photonic crystals," Phys. Rev. A 70, 043810 (2004).
[CrossRef]

Vilaseca, R.

Vuckovic, J.

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

Wang, H. T.

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Wang, X.

Weinfurter, H.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Werner, R.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Wong, F. N. C.

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Yariv, A.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1976).

Yeh, P.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1976).

Zeilinger, A.

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

Zeng, Y.

Y. Zeng, X. Chen, and W. Lu, "Optical limiting in defective quadratic nonlinear photonic crystals," J. Appl. Phys. 99, 123107 (2006).
[CrossRef]

IEEE J. Quantum Electron.

Y. Jeong and B. Lee, "Matrix analysis for layered quasi-phase-matched media considering multiple reflection and pump wave depletion," IEEE J. Quantum Electron. 35, 162-178 (1999).
[CrossRef]

J. Appl. Phys.

Y. Zeng, X. Chen, and W. Lu, "Optical limiting in defective quadratic nonlinear photonic crystals," J. Appl. Phys. 99, 123107 (2006).
[CrossRef]

Opt. Commun.

J. Martorell and R. Corbalan, "Enhancement of second harmonic generation in a periodic structure with a defect," Opt. Commun. 108, 319-323 (1994).
[CrossRef]

Opt. Lett.

Phys. Rev. A

M. Centini, J. Perina. Jr., L. Sciscione, C. Sibilia, M. Scalora, M. J. Bloemer, and M. Bertolotti, "Entangled photon pair generation by spontaneous parametric down-conversion in finite-length one-dimensional photonic crystals," Phys. Rev. A 72, 033806 (2005).
[CrossRef]

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, andM. C. Teich, "Theory of spontaneous parametric down-conversion from photonic crystals," Phys. Rev. A 70, 043810 (2004).
[CrossRef]

G. D. Giuseppe, M. Atature, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled-photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801 (2002).
[CrossRef]

W. T. M. Irvine, M. J. A. de Dood, and D. Bouwmeester, "Bloch theory of entangled photon generation in nonlinear photonic crystals," Phys. Rev. A 72, 043815 (2005).
[CrossRef]

Phys. Rev. B

F. F. Ren, R. Li, C. Cheng, H. T. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109 (2004).
[CrossRef]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B 48, 14936-14943 (1993).
[CrossRef]

A. A. Krokhin, P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals," Phys. Rev. B 65, 115208 (2002).
[CrossRef]

Phys. Rev. E

M. Bahl, N.-C. Panoiu, and R. M. Osgood. Jr., "Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects," Phys. Rev. E 67, 056604 (2003).
[CrossRef]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structures with deep gratings," Phys. Rev. E 67, 016606 (2003).
[CrossRef]

Phys. Rev. Lett.

M. J. A. de Dood, W. T. M. Irvine, and D. Bouwmeester, "Nonlinear photonic crystals as source of entangled photons," Phys. Rev. Lett. 93, 040504 (2004).
[CrossRef] [PubMed]

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Quantum Inf. Process.

P. Kumar, P. Kwiat, A. Migdall, S. W. Nam, J. Vuckovic, and F. N. C. Wong, "Photonic technologies for quantum information processing," Quantum Inf. Process. 3, 215-231 (2004).
[CrossRef]

Other

G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: an Introduction to Basic Theoretical Concepts and Experiments (Springer, 2001).

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1976).

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, 1984).

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Figures (4)

Fig. 1
Fig. 1

Linear transmission spectrum of the photonic crystal with a single defect layer. The number of the periods PN = 7 .

Fig. 2
Fig. 2

Normalized spectra of spontaneously downconverted fields as a function of wavelength in forward and backward directions. The number of the periods PN = 7 , and the nonlinear coefficient of the nonlinear material is 0.44 nm V .

Fig. 3
Fig. 3

Field intensity distribution inside a defective structure with the number of the periods PN = 7 at different resonant, modes, (a) Band-edge resonance at 543.65 nm . (b) Band-edge resonance at 905.24 nm .

Fig. 4
Fig. 4

Same as Fig. 3 but for defective modes. (a) Defective resonance at 519.37 nm . (b) Defective resonance at 1038.74 nm .

Equations (3)

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E j ± ( t , z ) = A j ± ( z ) exp [ i ω j t k j z ] ,
d A 1 ± ( z ) d z = i a 1 ( z ) A 3 ± ( z ) A 2 ± * ( z ) exp [ i Δ k ( z ) z ] ,
d A 2 ± * ( z ) d z = ± i a 2 ( z ) A 1 ± ( z ) A 3 ± * ( z ) exp [ ± i Δ k ( z ) z ] ,

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