Abstract

A novel design for a broadband directional coupler based on a photonic crystal fiber is investigated numerically. It is shown that suitable index-depressing doping of the core regions in an index-guiding twin-core photonic crystal fiber can stabilize the coupling coefficient between the cores over an extremely broad (octave-spanning) frequency range.

© 2004 Optical Society of America

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References

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  1. A. Bjarklev, J. Broeng, and A. S. Bjarklev, Photonic Crystal Fibres (Kluwer Academic, Dordrecht, The Netherlands, 2003).
    [CrossRef]
  2. F. Poli, A. Cucinotta, M. Fuochi, S. Selleri, and L. Vincetti, J. Opt. Soc. Am. A 20, 1958 (2003).
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  3. N. I. Nikolov, T. Sorensen, O. Bang, and A. Bjarklev, J. Opt. Soc. Am. B 20, 2329 (2003).
    [CrossRef]
  4. T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, J. Lightwave Technol. 17, 1093 (1999).
    [CrossRef]
  5. K. Furusawa, A. Malinowski, J. H. V. Price, T. M. Monro, J. K. Sahu, J. Nilsson, and D. J. Richardson, Opt. Express 9, 714 (2001), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  6. B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, Electron. Lett. 36, 1358 (2000).
    [CrossRef]
  7. W. E. P. Padden, M. A. van Eijkelenborg, A. Argyros, and N. A. Issa, Appl. Phys. Lett. 84, 1689 (2004).
    [CrossRef]
  8. B. H. Lee, J. B. Eom, J. Kim, D. S. Moon, U.-C. Paek, and G.-H. Yang, Opt. Lett. 27, 812 (2002).
    [CrossRef]
  9. H. Kim, J. Kim, U.-C. Paek, and B. H. Lee, Opt. Lett. 29, 1194 (2004).
    [CrossRef] [PubMed]
  10. B. J. Mangan, J. Arriaga, T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 26, 1469 (2001).
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  11. T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
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  12. S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001), http://www.opticsexpress.org .
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  13. M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
    [CrossRef]

2004 (2)

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, 1194 (2004).
[CrossRef] [PubMed]

2003 (3)

2002 (1)

2001 (3)

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]

1999 (1)

1997 (1)

Albertsen, M.

M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
[CrossRef]

Argyros, A.

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

Arriaga, J.

Bang, O.

Bennett, P. J.

Birks, T. A.

Bjarklev, A.

M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
[CrossRef]

N. I. Nikolov, T. Sorensen, O. Bang, and A. Bjarklev, J. Opt. Soc. Am. B 20, 2329 (2003).
[CrossRef]

A. Bjarklev, J. Broeng, and A. S. Bjarklev, Photonic Crystal Fibres (Kluwer Academic, Dordrecht, The Netherlands, 2003).
[CrossRef]

Bjarklev, A. S.

A. Bjarklev, J. Broeng, and A. S. Bjarklev, Photonic Crystal Fibres (Kluwer Academic, Dordrecht, The Netherlands, 2003).
[CrossRef]

Broderick, N. G. R.

Broeng, J.

A. Bjarklev, J. Broeng, and A. S. Bjarklev, Photonic Crystal Fibres (Kluwer Academic, Dordrecht, The Netherlands, 2003).
[CrossRef]

Cucinotta, A.

Eom, J. B.

Fuochi, M.

Furusawa, K.

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]

Hougaard, K.

M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
[CrossRef]

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.

Johnson, S. G.

Kim, H.

Kim, J.

Knight, J. C.

Lægsgaard, J.

M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
[CrossRef]

Lee, B. H.

Libori, S. E. B.

M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
[CrossRef]

Malinowski, A.

Mangan, B. J.

B. J. Mangan, J. Arriaga, T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 26, 1469 (2001).
[CrossRef]

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

Monro, T. M.

Moon, D. S.

Nikolov, N. I.

Nilsson, J.

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.

Poli, F.

Price, J. H. V.

Richardson, D. J.

Riishede, J.

M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
[CrossRef]

Russell, P. St. J.

Sahu, J. K.

Selleri, S.

Sorensen, T.

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]

Vincetti, L.

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. Lightwave Technol. (1)

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (1)

Opt. Express (2)

Opt. Lett. (4)

Photon. Nanostruct. (1)

M. Albertsen, J. Lægsgaard, S. E. B. Libori, K. Hougaard, J. Riishede, and A. Bjarklev, Photon. Nanostruct. 1, 43 (2003).
[CrossRef]

Other (1)

A. Bjarklev, J. Broeng, and A. S. Bjarklev, Photonic Crystal Fibres (Kluwer Academic, Dordrecht, The Netherlands, 2003).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Generic PCF design studied here. Darker circles represent airholes; lighter circles indicate possibly doped regions in the core regions. Only the airhole rings closest to the core region are shown. For all the calculations reported we used d/Λ=0.5.

Fig. 2
Fig. 2

Coupling length Lc relative to pitch Λ as a function of normalized frequency Λ/λ for four twin-core fibers. Δ denotes the index contrast between the base material and the index-depressed core regions, whereas dc denotes the diameter of these regions.

Fig. 3
Fig. 3

Power fraction P1/P in the launch arm at the output end of a fiber coupler based on the twin-core photonic crystal fiber structure in Fig. 1 with Λ=12 µm, dc=5.52 µm, device length Ld, and index step between doped and undoped regions Δ.

Equations (1)

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Lcσ=πβeσ-βoσ,

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