Abstract

We analytically and numerically demonstrate that multiwavelength conversion can be realized in a high-Q photonic crystal nanocavity. With the help of a dynamic-phase-shift effect induced by bandgap-multireflection, the wavelength conversion efficiency of nearly 100% is achieved for a broad conversion range over several hundreds of nanometers, which is much larger than the reported results obtained by other linear methods (e.g., adiabatic wavelength conversion). This approach may open a way for the study of on-chip ultralow-power optical communications and quantum information processing.

© 2014 Optical Society of America

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  1. J. Bravo-Abad, A. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačic, Opt. Express 15, 16161 (2007).
    [CrossRef]
  2. H. Rong, Y.-H. Kuo, A. Liu, M. Paniccia, and O. Cohen, Opt. Express 14, 1182 (2006).
    [CrossRef]
  3. E. E. Hach, A. W. Elshaari, and S. F. Preble, Phys. Rev. A 82, 063839 (2010).
    [CrossRef]
  4. S. Vidal, J. Luce, and D. Penninckx, Opt. Lett. 36, 3494 (2011).
    [CrossRef]
  5. B. Beaudou, F. Couny, Y. Y. Wang, P. S. Light, N. V. Wheeler, F. Gérôme, and F. Benabid, Opt. Express 18, 12381 (2010).
    [CrossRef]
  6. M. F. Yanik and S. Fan, Phys. Rev. Lett. 93, 173903 (2004).
    [CrossRef]
  7. M. Notomi and S. Mitsugi, Phys. Rev. A 73, 051803(R) (2006).
    [CrossRef]
  8. S. Preble, Q. Xu, and M. Lipson, Nat. Photonics 1, 293 (2007).
    [CrossRef]
  9. T. Tanabe, M. Notomi, H. Taniyama, and E. Kuramochi, Phys. Rev. Lett. 102, 043907 (2009).
    [CrossRef]
  10. T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
    [CrossRef]
  11. J. Upham, Y. Tanaka, T. Asano, and S. Noda, Appl. Phys. Express 3, 062001 (2010).
    [CrossRef]
  12. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2007), Chap. 7.
  13. H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).
  14. H. Richard, Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 2nd. Ed. (Prentice-Hall, 1987), Chap. 7.
  15. A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, 2000).
  16. C. Li, J. F. Wu, and W. C. Xu, Appl. Opt. 49, 2957 (2010).
    [CrossRef]
  17. Q. Li, T. Wang, Y. Su, M. Yan, and M. Qiu, Opt. Express 18, 8367 (2010).
    [CrossRef]
  18. M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 64, 075313 (2001).
    [CrossRef]
  19. Y. Tanaka, T. Asano, and S. Noda, J. Lightwave Technol. 26, 1532 (2008).
    [CrossRef]
  20. A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
    [CrossRef]
  21. E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
    [CrossRef]

2011 (2)

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

S. Vidal, J. Luce, and D. Penninckx, Opt. Lett. 36, 3494 (2011).
[CrossRef]

2010 (6)

Q. Li, T. Wang, Y. Su, M. Yan, and M. Qiu, Opt. Express 18, 8367 (2010).
[CrossRef]

B. Beaudou, F. Couny, Y. Y. Wang, P. S. Light, N. V. Wheeler, F. Gérôme, and F. Benabid, Opt. Express 18, 12381 (2010).
[CrossRef]

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

J. Upham, Y. Tanaka, T. Asano, and S. Noda, Appl. Phys. Express 3, 062001 (2010).
[CrossRef]

C. Li, J. F. Wu, and W. C. Xu, Appl. Opt. 49, 2957 (2010).
[CrossRef]

E. E. Hach, A. W. Elshaari, and S. F. Preble, Phys. Rev. A 82, 063839 (2010).
[CrossRef]

2009 (1)

T. Tanabe, M. Notomi, H. Taniyama, and E. Kuramochi, Phys. Rev. Lett. 102, 043907 (2009).
[CrossRef]

2008 (1)

2007 (2)

2006 (3)

M. Notomi and S. Mitsugi, Phys. Rev. A 73, 051803(R) (2006).
[CrossRef]

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

H. Rong, Y.-H. Kuo, A. Liu, M. Paniccia, and O. Cohen, Opt. Express 14, 1182 (2006).
[CrossRef]

2004 (1)

M. F. Yanik and S. Fan, Phys. Rev. Lett. 93, 173903 (2004).
[CrossRef]

2001 (1)

M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 64, 075313 (2001).
[CrossRef]

Arakawa, Y.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

Asano, T.

J. Upham, Y. Tanaka, T. Asano, and S. Noda, Appl. Phys. Express 3, 062001 (2010).
[CrossRef]

Y. Tanaka, T. Asano, and S. Noda, J. Lightwave Technol. 26, 1532 (2008).
[CrossRef]

Beaudou, B.

Beggs, D. M.

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

Benabid, F.

Benisty, H.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Bermel, P.

Bravo-Abad, J.

Cassette, S.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Cohen, O.

Combri, S.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Couny, F.

De Rossi, A.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Elshaari, A. W.

E. E. Hach, A. W. Elshaari, and S. F. Preble, Phys. Rev. A 82, 063839 (2010).
[CrossRef]

Fan, S.

M. F. Yanik and S. Fan, Phys. Rev. Lett. 93, 173903 (2004).
[CrossRef]

M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 64, 075313 (2001).
[CrossRef]

Gérôme, F.

Guimard, D.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

Hach, E. E.

E. E. Hach, A. W. Elshaari, and S. F. Preble, Phys. Rev. A 82, 063839 (2010).
[CrossRef]

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, 2000).

Haus, H. A.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

Ishida, S.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

Iwamoto, S.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

Joannopoulos, J. D.

J. Bravo-Abad, A. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačic, Opt. Express 15, 16161 (2007).
[CrossRef]

M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 64, 075313 (2001).
[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2007), Chap. 7.

Johnson, S. G.

J. Bravo-Abad, A. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačic, Opt. Express 15, 16161 (2007).
[CrossRef]

M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 64, 075313 (2001).
[CrossRef]

Kampfrath, T.

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

Krauss, T. F.

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

Kuipers, L.

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

Kuo, Y.-H.

Kuramochi, E.

T. Tanabe, M. Notomi, H. Taniyama, and E. Kuramochi, Phys. Rev. Lett. 102, 043907 (2009).
[CrossRef]

Li, C.

C. Li, J. F. Wu, and W. C. Xu, Appl. Opt. 49, 2957 (2010).
[CrossRef]

Li, Q.

Light, P. S.

Lipson, M.

S. Preble, Q. Xu, and M. Lipson, Nat. Photonics 1, 293 (2007).
[CrossRef]

Liu, A.

Luce, J.

Meade, R. D.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2007), Chap. 7.

Melloni, A.

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

Mitsugi, S.

M. Notomi and S. Mitsugi, Phys. Rev. A 73, 051803(R) (2006).
[CrossRef]

Nagle, J.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Noda, S.

J. Upham, Y. Tanaka, T. Asano, and S. Noda, Appl. Phys. Express 3, 062001 (2010).
[CrossRef]

Y. Tanaka, T. Asano, and S. Noda, J. Lightwave Technol. 26, 1532 (2008).
[CrossRef]

Nomura, M.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

Notomi, M.

T. Tanabe, M. Notomi, H. Taniyama, and E. Kuramochi, Phys. Rev. Lett. 102, 043907 (2009).
[CrossRef]

M. Notomi and S. Mitsugi, Phys. Rev. A 73, 051803(R) (2006).
[CrossRef]

Paniccia, M.

Penninckx, D.

Povinelli, M. L.

M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 64, 075313 (2001).
[CrossRef]

Preble, S.

S. Preble, Q. Xu, and M. Lipson, Nat. Photonics 1, 293 (2007).
[CrossRef]

Preble, S. F.

E. E. Hach, A. W. Elshaari, and S. F. Preble, Phys. Rev. A 82, 063839 (2010).
[CrossRef]

Qiu, M.

Richard, H.

H. Richard, Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 2nd. Ed. (Prentice-Hall, 1987), Chap. 7.

Rodriguez, A.

Rong, H.

Soljacic, M.

Su, Y.

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, 2000).

Talneau, A.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Tanabe, T.

T. Tanabe, M. Notomi, H. Taniyama, and E. Kuramochi, Phys. Rev. Lett. 102, 043907 (2009).
[CrossRef]

Tanaka, Y.

J. Upham, Y. Tanaka, T. Asano, and S. Noda, Appl. Phys. Express 3, 062001 (2010).
[CrossRef]

Y. Tanaka, T. Asano, and S. Noda, J. Lightwave Technol. 26, 1532 (2008).
[CrossRef]

Tandaechanurat, A.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

Taniyama, H.

T. Tanabe, M. Notomi, H. Taniyama, and E. Kuramochi, Phys. Rev. Lett. 102, 043907 (2009).
[CrossRef]

Tran, N.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Upham, J.

J. Upham, Y. Tanaka, T. Asano, and S. Noda, Appl. Phys. Express 3, 062001 (2010).
[CrossRef]

Vidal, S.

Wang, T.

Wang, Y. Y.

Weidner, E.

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

Wheeler, N. V.

White, T. P.

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

Winn, J. N.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2007), Chap. 7.

Wu, J. F.

C. Li, J. F. Wu, and W. C. Xu, Appl. Opt. 49, 2957 (2010).
[CrossRef]

Xu, Q.

S. Preble, Q. Xu, and M. Lipson, Nat. Photonics 1, 293 (2007).
[CrossRef]

Xu, W. C.

C. Li, J. F. Wu, and W. C. Xu, Appl. Opt. 49, 2957 (2010).
[CrossRef]

Yan, M.

Yanik, M. F.

M. F. Yanik and S. Fan, Phys. Rev. Lett. 93, 173903 (2004).
[CrossRef]

Appl. Opt. (1)

C. Li, J. F. Wu, and W. C. Xu, Appl. Opt. 49, 2957 (2010).
[CrossRef]

Appl. Phys. Express (1)

J. Upham, Y. Tanaka, T. Asano, and S. Noda, Appl. Phys. Express 3, 062001 (2010).
[CrossRef]

Appl. Phys. Lett. (1)

E. Weidner, S. Combri, N. Tran, A. De Rossi, J. Nagle, S. Cassette, A. Talneau, and H. Benisty, Appl. Phys. Lett. 89, 221104 (2006).
[CrossRef]

J. Lightwave Technol. (1)

Nat. Photonics (2)

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, Nat. Photonics 5, 91 (2011).
[CrossRef]

S. Preble, Q. Xu, and M. Lipson, Nat. Photonics 1, 293 (2007).
[CrossRef]

Opt. Express (4)

Opt. Lett. (1)

Phys. Rev. A (3)

T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010).
[CrossRef]

E. E. Hach, A. W. Elshaari, and S. F. Preble, Phys. Rev. A 82, 063839 (2010).
[CrossRef]

M. Notomi and S. Mitsugi, Phys. Rev. A 73, 051803(R) (2006).
[CrossRef]

Phys. Rev. B (1)

M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 64, 075313 (2001).
[CrossRef]

Phys. Rev. Lett. (2)

M. F. Yanik and S. Fan, Phys. Rev. Lett. 93, 173903 (2004).
[CrossRef]

T. Tanabe, M. Notomi, H. Taniyama, and E. Kuramochi, Phys. Rev. Lett. 102, 043907 (2009).
[CrossRef]

Other (4)

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2007), Chap. 7.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

H. Richard, Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 2nd. Ed. (Prentice-Hall, 1987), Chap. 7.

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, 2000).

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Figures (2)

Fig. 1.
Fig. 1.

Sketch of the high-Q multimode cavity in a 2D linear PC structure. The red point inside the cavity denotes the CW pump source at ω.

Fig. 2.
Fig. 2.

(a) Arbitrary slice of the time-dependent evolution of the field intensity inside the cavity obtained by FDTD simulation. (b) Cavity spectrum under the excitation of a CW source at ω. (c) Theoretically-calculated evolution of the field intensity inside the cavity. (d) Evolution of the cavity field when the pump light is shut off at ts=32000(a/c).

Equations (4)

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

ΔΦ=ωΔT0t/ΔT0,
Δω=d(ΔΦ)/dt=ωδ(t/ΔT0m),m=1,2,3.
2Eμε2E/t2=ωμj(x,y)cos(ωt),
E(x,y,t)=iωκiε(ω2ω0i2)ϕi(x,y)[cos(ωt)cos(ω0it)],

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