Abstract

Numerical modeling of slotted photonic crystal Si waveguides is reported. Employing multiple slots in a single waveguide, we obtained large Purcell enhancements for a large ensemble of emitters coupled with the same optical mode. This allows observation of peculiar physical phenomena, such as anisotropic bandgap super radiance.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
    [CrossRef]
  2. P. Lodahl, A. F. van Drie, I. S. Nikolaev, A. Irman, K. Overgaag, D. Vanmaekelbergh, and W. L. Vos, Nature 430, 654 (2004).
    [CrossRef] [PubMed]
  3. A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
    [CrossRef]
  4. D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
    [CrossRef] [PubMed]
  5. R. Sprik, B. A. van Tiggelen, and A. Lagendijk, Europhys. Lett. 35, 265 (1996).
    [CrossRef]
  6. T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
    [CrossRef] [PubMed]
  7. P. C. Becker, N. A. Olson, and J. R. Simpson, Erbium Doped Fiber Amplifier: Fundamental and Technology(Academic, 1999).
  8. S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173(2001).
    [CrossRef] [PubMed]
  9. V. R. Almeida, Q. Xu, C. A. Barrios, and M. Lipson, Opt. Lett. 29, 1209 (2004).
    [CrossRef] [PubMed]
  10. S. Hughes, Opt. Lett. 29, 2659 (2004).
    [CrossRef] [PubMed]
  11. A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
    [CrossRef]
  12. A. J. Ward and J. B. Pendry, Phys. Rev. B 58, 7252 (1998).
    [CrossRef]
  13. This can be a reasonable assumption for a concentration of Er3+ ions below the clusterization limit or for low-temperature emission.
  14. V. S. C. Manga Rao and S. Hughes, Phys. Rev. B 75, 205(2007).
  15. Y. C. Jun, R. M. Briggs, H. A. Atwater, and M. L. Brongersma, Opt. Express 17, 7479 (2009).
    [CrossRef] [PubMed]
  16. R. H. Dicke, Phys. Rev. 93, 99 (1954).
    [CrossRef]
  17. A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Sov. Phys. Usp. 23, 493 (1980).
    [CrossRef]
  18. M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
    [CrossRef]
  19. S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
    [CrossRef] [PubMed]
  20. The optical constant of Er-doped SiO2 material has been taken from the literature .

2010 (1)

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

2009 (1)

2008 (1)

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

2007 (2)

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

V. S. C. Manga Rao and S. Hughes, Phys. Rev. B 75, 205(2007).

2005 (2)

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

2004 (3)

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

V. R. Almeida, Q. Xu, C. A. Barrios, and M. Lipson, Opt. Lett. 29, 1209 (2004).
[CrossRef] [PubMed]

S. Hughes, Opt. Lett. 29, 2659 (2004).
[CrossRef] [PubMed]

2001 (1)

1999 (1)

P. C. Becker, N. A. Olson, and J. R. Simpson, Erbium Doped Fiber Amplifier: Fundamental and Technology(Academic, 1999).

1998 (2)

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

A. J. Ward and J. B. Pendry, Phys. Rev. B 58, 7252 (1998).
[CrossRef]

1996 (1)

R. Sprik, B. A. van Tiggelen, and A. Lagendijk, Europhys. Lett. 35, 265 (1996).
[CrossRef]

1995 (1)

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

1980 (1)

A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Sov. Phys. Usp. 23, 493 (1980).
[CrossRef]

1954 (1)

R. H. Dicke, Phys. Rev. 93, 99 (1954).
[CrossRef]

Almeida, V. R.

Andreev, A. V.

A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Sov. Phys. Usp. 23, 493 (1980).
[CrossRef]

Arakawa, Y.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Atwater, H. A.

Bacher, G.

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Barrios, C. A.

Becker, P. C.

P. C. Becker, N. A. Olson, and J. R. Simpson, Erbium Doped Fiber Amplifier: Fundamental and Technology(Academic, 1999).

Bermel, P.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Böhm, G.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Briggs, R. M.

Brongersma, M. L.

Costard, E.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Dicke, R. H.

R. H. Dicke, Phys. Rev. 93, 99 (1954).
[CrossRef]

Emel’yanov, V. I.

A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Sov. Phys. Usp. 23, 493 (1980).
[CrossRef]

Englund, D.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Fattal, D.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Finley, J. J.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Forchel, A.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Gayral, B.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Gérard, J. M.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Hofbauer, F.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Hommel, D.

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Hughes, S.

V. S. C. Manga Rao and S. Hughes, Phys. Rev. B 75, 205(2007).

S. Hughes, Opt. Lett. 29, 2659 (2004).
[CrossRef] [PubMed]

Ibanescu, M.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Il’inskii, Yu. A.

A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Sov. Phys. Usp. 23, 493 (1980).
[CrossRef]

Irman, A.

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

Joannopoulos, J. D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173(2001).
[CrossRef] [PubMed]

John, S.

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

Johnson, S. G.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173(2001).
[CrossRef] [PubMed]

Julsgaard, B.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

Jun, Y. C.

Kamp, M.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

Kaniber, M.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Krenner, H. J.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Kress, A.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Lagendijk, A.

R. Sprik, B. A. van Tiggelen, and A. Lagendijk, Europhys. Lett. 35, 265 (1996).
[CrossRef]

Legrand, B.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Lipson, M.

Lodahl, P.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

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

Lund-Hansen, T.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

Meyer, R.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Nakaoka, T.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Nikolaev, I. S.

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

Olson, N. A.

P. C. Becker, N. A. Olson, and J. R. Simpson, Erbium Doped Fiber Amplifier: Fundamental and Technology(Academic, 1999).

Oskooi, A. F.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Overgaag, K.

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

Passow, T.

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Pendry, J. B.

A. J. Ward and J. B. Pendry, Phys. Rev. B 58, 7252 (1998).
[CrossRef]

Quang, T.

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

Rao, V. S. C. Manga

V. S. C. Manga Rao and S. Hughes, Phys. Rev. B 75, 205(2007).

Reinelt, N.

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Roundy, D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Scheibner, M.

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Schmidt, T.

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Sermage, B.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Simpson, J. R.

P. C. Becker, N. A. Olson, and J. R. Simpson, Erbium Doped Fiber Amplifier: Fundamental and Technology(Academic, 1999).

Solomon, G.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Sprik, R.

R. Sprik, B. A. van Tiggelen, and A. Lagendijk, Europhys. Lett. 35, 265 (1996).
[CrossRef]

Stobbe, S.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

Su¨nner, T.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

Thierry-Mieg, V.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Thyrrestrup, H.

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

van Drie, A. F.

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

van Tiggelen, B. A.

R. Sprik, B. A. van Tiggelen, and A. Lagendijk, Europhys. Lett. 35, 265 (1996).
[CrossRef]

Vanmaekelbergh, D.

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

Vos, W. L.

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

Vuckovic, J.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Waks, E.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Ward, A. J.

A. J. Ward and J. B. Pendry, Phys. Rev. B 58, 7252 (1998).
[CrossRef]

Worschech, L.

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Xu, Q.

Yamamoto, Y.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Zhang, B.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Comput. Phys. Commun. (1)

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Europhys. Lett. (1)

R. Sprik, B. A. van Tiggelen, and A. Lagendijk, Europhys. Lett. 35, 265 (1996).
[CrossRef]

Nature (1)

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

Nature Phys. (1)

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3, 106(2007).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. (1)

R. H. Dicke, Phys. Rev. 93, 99 (1954).
[CrossRef]

Phys. Rev. B (3)

V. S. C. Manga Rao and S. Hughes, Phys. Rev. B 75, 205(2007).

A. J. Ward and J. B. Pendry, Phys. Rev. B 58, 7252 (1998).
[CrossRef]

A. Kress, F. Hofbauer, N. Reinelt, M. Kaniber, H. J. Krenner, R. Meyer, G. Böhm, and J. J. Finley, Phys. Rev. B 71, 241304(R) (2005).
[CrossRef]

Phys. Rev. Lett. (4)

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Su¨nner, M. Kamp, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008).
[CrossRef] [PubMed]

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

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

Sov. Phys. Usp. (1)

A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Sov. Phys. Usp. 23, 493 (1980).
[CrossRef]

Other (3)

The optical constant of Er-doped SiO2 material has been taken from the literature .

P. C. Becker, N. A. Olson, and J. R. Simpson, Erbium Doped Fiber Amplifier: Fundamental and Technology(Academic, 1999).

This can be a reasonable assumption for a concentration of Er3+ ions below the clusterization limit or for low-temperature emission.

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) Sketch of the PhCw. Periodic SiO 2 slots are patterned in a Si rib waveguide along the light propagation direction (z). Waveguide dimensions are reported in the table. (b) TE photonic bands and third band group velocity for the PhCw waveguide (PWE method [8]).

Fig. 2
Fig. 2

(a) F P calculated for the third photonic band of the 2D, infinite length waveguide. F P map in the y z plane at band-edge frequency is reported in the inset. (b) F P intensity map in the y z plane calculated for the same band in the 2D, finite length (composed of 15 periods) waveguide, at band-edge frequency. (c) F P isosurfaces in the fundamental cell ( 0.5 μm × 1 μm × 0.37 μm ) calculated for the 3D, infinite length waveguide reported in Fig. 1a at band-edge frequency, shown within the dielectric structure.

Fig. 3
Fig. 3

(a) SR condition in a single cell of an infinite PhCw for different doping concentration. (b) Comparison of τ SR (•, ▴, ⋆) and τ t (solid curve) in every cell of differently Er-doped PhCws. The SR ( Δ τ SR —solid curve) and transit ( Δ τ t —black squares) time differences between cell 0 and cell 1 are reported for completeness.

Equations (2)

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

F P ( ω , r ) = 3 π c 3 Λ ω 2 ϵ υ g | u k ( r ) | 2 ,
τ t τ SR = 2 π n d 2 ω υ g L τ SE ,

Metrics