Abstract

The frequency dependence of the coupling length in a twin-core photonic bandgap fiber is investigated numerically. In contrast to the case of index-guiding fibers, the coupling length exhibits a maximum if the cores are sufficiently well separated. The fiber design proposed is of interest for fabricating broadband tunable couplers.

© 2005 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. Lægsgaard, O. Bang, and A. Bjarklev, Opt. Lett. 29, 2473 (2004).
    [CrossRef]
  2. B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
    [CrossRef]
  3. B. H. Lee, J. B. Eom, J. Kim, D. S. Moon, U.-C. Paek, and G.-H. Yang, Opt. Lett. 27, 812 (2002).
  4. W. E.P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
    [CrossRef]
  5. H. Kim, J. Kim, U.-C. Paek, and B. H. Lee, Opt. Lett. 29, 194 (2004).
  6. R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.
  7. T. T. Alkeskjold, J. Lægsgaard, A. Bjarklev, D. S. Hermann, A. Anawati, J. Broeng, J. Li, and S. Wu, Opt. Express 12, 5857 (2004).
    [CrossRef]
  8. T. P. White, R. C. McPhedran, C. M. de Sterke, N. M. Litchinitser, and B. J. Eggleton, Opt. Lett. 27, 1977 (2002)
  9. N. M. Litchinitser, S. C. Dunn, B. Usner, B. J. Eggleton, T. P. White, R. C. McPhedran, and C. M. de Sterke, Opt. Express 11, 1243 (2003).
  10. J. Lægsgaard, J. Opt. A 6, 798 (2004).
  11. R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
    [CrossRef]
  12. R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
    [CrossRef]
  13. S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 73 (2001).
  14. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

2004 (5)

W. E.P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
[CrossRef]

H. Kim, J. Kim, U.-C. Paek, and B. H. Lee, Opt. Lett. 29, 194 (2004).

J. Lægsgaard, J. Opt. A 6, 798 (2004).

J. Lægsgaard, O. Bang, and A. Bjarklev, Opt. Lett. 29, 2473 (2004).
[CrossRef]

T. T. Alkeskjold, J. Lægsgaard, A. Bjarklev, D. S. Hermann, A. Anawati, J. Broeng, J. Li, and S. Wu, Opt. Express 12, 5857 (2004).
[CrossRef]

2003 (1)

2002 (2)

2001 (1)

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 73 (2001).

2000 (1)

B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
[CrossRef]

1997 (1)

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
[CrossRef]

1993 (1)

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

Alerhand, O. L.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Alkeskjold, T. T.

Anawati, A.

Argyros, A.

W. E.P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
[CrossRef]

Bang, O.

Birks, T. A.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
[CrossRef]

Bise, R. T.

R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.

Bjarklev, A.

Broeng, J.

Brommer, K. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

de Sterke, C. M.

Dunn, S. C.

Eggleton, B. J.

N. M. Litchinitser, S. C. Dunn, B. Usner, B. J. Eggleton, T. P. White, R. C. McPhedran, and C. M. de Sterke, Opt. Express 11, 1243 (2003).

T. P. White, R. C. McPhedran, C. M. de Sterke, N. M. Litchinitser, and B. J. Eggleton, Opt. Lett. 27, 1977 (2002)

R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.

Eom, J. B.

Greenaway, A. H.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
[CrossRef]

Hermann, D. S.

Issa, N. A.

W. E.P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
[CrossRef]

Joannopoulos, J. D.

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 73 (2001).

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Johnson, S. G.

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 73 (2001).

Kebage, C.

R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.

Kim, H.

H. Kim, J. Kim, U.-C. Paek, and B. H. Lee, Opt. Lett. 29, 194 (2004).

Kim, J.

H. Kim, J. Kim, U.-C. Paek, and B. H. Lee, Opt. Lett. 29, 194 (2004).

B. H. Lee, J. B. Eom, J. Kim, D. S. Moon, U.-C. Paek, and G.-H. Yang, Opt. Lett. 27, 812 (2002).

Knight, J. C.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
[CrossRef]

Kranz, K. S.

R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.

Lægsgaard, J.

Lee, B. H.

H. Kim, J. Kim, U.-C. Paek, and B. H. Lee, Opt. Lett. 29, 194 (2004).

B. H. Lee, J. B. Eom, J. Kim, D. S. Moon, U.-C. Paek, and G.-H. Yang, Opt. Lett. 27, 812 (2002).

Li, J.

Litchinitser, N. M.

Mangan, B. J.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
[CrossRef]

McPhedran, R. C.

Meade, R. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Moon, D. S.

Padden, W. E.P.

W. E.P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
[CrossRef]

Paek, U.-C.

H. Kim, J. Kim, U.-C. Paek, and B. H. Lee, Opt. Lett. 29, 194 (2004).

B. H. Lee, J. B. Eom, J. Kim, D. S. Moon, U.-C. Paek, and G.-H. Yang, Opt. Lett. 27, 812 (2002).

Rappe, A. M.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Russell, P. St.J.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
[CrossRef]

Trevor, D. J.

R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.

Usner, B.

van Eijkelenborg, M. A.

W. E.P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
[CrossRef]

White, T. P.

Windeler, R. S.

R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.

Wu, S.

Yang, G.-H.

Appl. Phys. Lett. (1)

W. E.P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
[CrossRef]

Electron. Lett. (1)

B. J. Mangan, J. C. Knight, T. A. Birks, P. St.J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
[CrossRef]

J. Opt. A (1)

J. Lægsgaard, J. Opt. A 6, 798 (2004).

Opt. Express (3)

Opt. Lett. (4)

Phys. Rev. B (2)

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993).
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. [11].
[CrossRef]

Other (2)

R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kebage, B. J. Eggleton, and D. J. Trevor, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), paper ThK3.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

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 (4)

Fig. 1
Fig. 1

(a) Twin-core coupler design with a core separation of 2 Λ , where Λ is the center-to-center hole spacing. (b) Twin-core design with core separation 7 Λ .

Fig. 2
Fig. 2

Polarization-averaged coupling length L c and effective area of the fundamental supermode A eff for the twin-core structure in Fig. 1(a), with d Λ = 0.3 . Inset, A eff of the fundamental supermode over the whole transmission window.

Fig. 3
Fig. 3

Coupling lengths and supermode effective areas for the twin-core structures with d Λ = 0.4 (top) and 0.3 (bottom).

Fig. 4
Fig. 4

(Color online) Intensity distributions for the fundamental supermodes in an index-guiding structure with airholes of d Λ = 0.4 (top) and a PBG-guiding structure with high-index ( n = 1.6 ) regions of the same relative diamter (bottom).

Equations (1)

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

L c σ = π β e σ β o σ ,

Metrics