Abstract

Local information on the coupling mechanism between the photonic crystal nanocavity and the feeding waveguide is crucial to enable further improvements of the performance of these systems. Although several investigations on such a coupling have already been performed, information on the local dynamic properties remains hidden. Here, we present a reciprocal space investigation of the dynamics of light side-coupled to a photonic crystal nanocavity. We find that the coupling is promoted by Bloch harmonics having greater transverse momentum.

© 2011 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
    [Crossref] [PubMed]
  2. T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
    [Crossref]
  3. T. Uesugi, B.-S. Song, T. Asano, and S. Noda, Opt. Express 14, 377 (2006).
    [Crossref] [PubMed]
  4. S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Phys. Rev. Lett. 91, 043902 (2003).
    [Crossref] [PubMed]
  5. T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
    [Crossref]
  6. C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
    [Crossref]
  7. M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
    [Crossref] [PubMed]
  8. A. F. Koenderink, M. Kafesaki, B. C. Buchler, and V. Sandoghdar, Phys. Rev. Lett. 95, 153904 (2005).
    [Crossref] [PubMed]
  9. M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
    [Crossref] [PubMed]
  10. R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
    [Crossref]
  11. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Brooks Cole, 1976).
  12. M. Sandtke and L. Kuipers, Phys. Rev. B 77, 235439 (2008).
    [Crossref]

2010 (1)

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

2008 (2)

M. Sandtke and L. Kuipers, Phys. Rev. B 77, 235439 (2008).
[Crossref]

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

2007 (2)

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

2006 (1)

2005 (2)

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
[Crossref]

A. F. Koenderink, M. Kafesaki, B. C. Buchler, and V. Sandoghdar, Phys. Rev. Lett. 95, 153904 (2005).
[Crossref] [PubMed]

2003 (2)

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[Crossref] [PubMed]

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Phys. Rev. Lett. 91, 043902 (2003).
[Crossref] [PubMed]

2001 (1)

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Akahane, Y.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[Crossref] [PubMed]

Asakawa, K.

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

Asano, T.

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

T. Uesugi, B.-S. Song, T. Asano, and S. Noda, Opt. Express 14, 377 (2006).
[Crossref] [PubMed]

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[Crossref] [PubMed]

Ashcroft, N. W.

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Brooks Cole, 1976).

Attema, I.

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Benisty, H.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Buchler, B. C.

A. F. Koenderink, M. Kafesaki, B. C. Buchler, and V. Sandoghdar, Phys. Rev. Lett. 95, 153904 (2005).
[Crossref] [PubMed]

Burresi, M.

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

Cerjak, I.

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Dekker, H.

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Engelen, R. J. P.

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

Gersen, H.

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

Houdre, R.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Ikeda, N.

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

Kafesaki, M.

A. F. Koenderink, M. Kafesaki, B. C. Buchler, and V. Sandoghdar, Phys. Rev. Lett. 95, 153904 (2005).
[Crossref] [PubMed]

Kampfrath, T.

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

Kippenberg, T. J.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Phys. Rev. Lett. 91, 043902 (2003).
[Crossref] [PubMed]

Koenderink, A. F.

A. F. Koenderink, M. Kafesaki, B. C. Buchler, and V. Sandoghdar, Phys. Rev. Lett. 95, 153904 (2005).
[Crossref] [PubMed]

Korterik, J. P.

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Krauss, T. F.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Kuipers, L.

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

M. Sandtke and L. Kuipers, Phys. Rev. B 77, 235439 (2008).
[Crossref]

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

Kuramochi, E.

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
[Crossref]

Mermin, N. D.

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Brooks Cole, 1976).

Mitsugi, S.

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
[Crossref]

Nagashima, T.

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

Noda, S.

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

T. Uesugi, B.-S. Song, T. Asano, and S. Noda, Opt. Express 14, 377 (2006).
[Crossref] [PubMed]

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[Crossref] [PubMed]

Notomi, M.

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
[Crossref]

Oesterle, U.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Olivier, S.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Painter, O. J.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Phys. Rev. Lett. 91, 043902 (2003).
[Crossref] [PubMed]

Prangsma, J. C.

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

Rattier, M.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Rue, R. M. D. L.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Sandoghdar, V.

A. F. Koenderink, M. Kafesaki, B. C. Buchler, and V. Sandoghdar, Phys. Rev. Lett. 95, 153904 (2005).
[Crossref] [PubMed]

Sandtke, M.

M. Sandtke and L. Kuipers, Phys. Rev. B 77, 235439 (2008).
[Crossref]

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Schoenmaker, H.

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Segerink, F. B.

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Shinya, A.

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
[Crossref]

Smith, C. J. M.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Song, B. S.

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[Crossref] [PubMed]

Song, B.-S.

Spillane, S. M.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Phys. Rev. Lett. 91, 043902 (2003).
[Crossref] [PubMed]

Sugimoto, Y.

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

Sugiya, T.

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

Tanabe, T.

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
[Crossref]

Uesugi, T.

Upham, J.

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

Vahala, K. J.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Phys. Rev. Lett. 91, 043902 (2003).
[Crossref] [PubMed]

van Oosten, D.

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

Weisbuch, C.

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Yoshinori, T.

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

Appl. Phys. Lett. (2)

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, Appl. Phys. Lett. 87, 151112 (2005).
[Crossref]

C. J. M. Smith, R. M. D. L. Rue, M. Rattier, S. Olivier, H. Benisty, C. Weisbuch, T. F. Krauss, R. Houdre, and U. Oesterle, Appl. Phys. Lett. 78, 1487 (2001).
[Crossref]

Nat. Mater. (1)

T. Yoshinori, J. Upham, T. Nagashima, T. Sugiya, T. Asano, and S. Noda, Nat. Mater. 6, 862 (2007).
[Crossref]

Nat. Phys. (1)

R. J. P. Engelen, Y. Sugimoto, H. Gersen, N. Ikeda, K. Asakawa, and L. Kuipers, Nat. Phys. 3, 401 (2007).
[Crossref]

Nature (1)

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[Crossref] [PubMed]

Opt. Express (1)

Phys. Rev. B (1)

M. Sandtke and L. Kuipers, Phys. Rev. B 77, 235439 (2008).
[Crossref]

Phys. Rev. Lett. (3)

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Phys. Rev. Lett. 91, 043902 (2003).
[Crossref] [PubMed]

A. F. Koenderink, M. Kafesaki, B. C. Buchler, and V. Sandoghdar, Phys. Rev. Lett. 95, 153904 (2005).
[Crossref] [PubMed]

M. Burresi, T. Kampfrath, D. van Oosten, J. C. Prangsma, B. S. Song, S. Noda, and L. Kuipers, Phys. Rev. Lett. 105, 123901 (2010).
[Crossref] [PubMed]

Rev. Sci. Instrum. (1)

M. Sandtke, R. J. P. Engelen, H. Schoenmaker, I. Attema, H. Dekker, I. Cerjak, J. P. Korterik, F. B. Segerink, and L. Kuipers, Rev. Sci. Instrum. 79, 013704 (2008).
[Crossref] [PubMed]

Other (1)

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Brooks Cole, 1976).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

(a) Schematic representation of the setup. Linearly polarized light is coupled to the sample. Right-side inset: scanning electron micrograph of the investigated sample. The photonic crystal nanocavity is visible below the photonic crystal waveguide. Left-side inset: scanning electron micrograph of the near-field probe. The aluminum coating has a thickness of 200 nm and an aperture of 200 nm . (b)–(e) Normalized detected amplitude of the picosecond pulse propagating through the sample for different times. The color scale varies from 0 to 0.6 times the maximum value of the amplitude, in order to enhance the visibility of the signal obtained above the cavity. The consecutive images show a light pulse entering the access waveguide, loading the nanocavity [dashed box in (e)], and exiting from the waveguide.

Fig. 2
Fig. 2

(a)–(c) Normalized amplitude of the Fourier transform of the detected signal of the picosecond pulse propagating through the sample for different times. The bright features relate to the excited eigenstates. The subsequent images show the time evolution of the eigenstates. The white arrows in (a) indicate the fundamental (right arrow) and the 1 (left arrow) Bloch harmonics of the access waveguide. The white arrows in (c) indicate the four features that relate with the eigenstate of the cavity. The color scale varies from 0 to 0.15 in order to enhance the visibility of the eigenstate of the cavity. (d)–(f) Normalized amplitude of the Fourier transform of the signal detected above the area indicated by the dashed box in 1e, for the same time delay as (a)–(c). The white arrows of (d) indicate the 1 Bloch harmonic of the access waveguide that spatially overlaps the cavity. The white arrows of (f) indicate the four features that relate with the eigenstate of the cavity. The color scale is normalized to the maximum of (f).

Fig. 3
Fig. 3

(a) The red and blue dots relate to the time-dependent intensity (in logarithmic scale) of the eigenstate of the cavity and the eigenstate of the backward propagating light at position 1 of Fig. 1b, respectively. The straight lines are the fits to the exponential decays. The rising of the signal at the end of both graphs (with blue higher than red) is caused by the backward propagating pulse reflected at the end facet of the waveguide. The x axis of the blue-dotted graph has been shifted in order to better compare the two graphs. (b) Time-dependent amplitude detected at position 2 of Fig. 1b (blue dots, with lower end dot) and of the eigenstate of the nanocavity (red dots).

Metrics