Abstract

We have proposed directional couplers operated by resonant coupling in all-solid photonic bandgap fibers structure which consist of a cladding with an array of high-index rods in silica background, two cores formed by omitting two rods, and some defect rods introduced by reducing the diameter of the high-index rods between the cores. The resonant effect induced by the avoided crossing between core-guided supermodes and defect-guided modes significant decreases the coupling length. The directional couplers proposed in this paper are almost polarization independent and have potential application in realizing integrating all-fiber communication devices.

© 2007 Optical Society of America

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  1. R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
    [CrossRef] [PubMed]
  2. J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
    [CrossRef] [PubMed]
  3. Z. Wang, G. Y. Kai, Y. G. Liu, J. F. Liu, C. S. Zhang, T. T. Sun, C. Wang, W. G. Zhang, S. Z. Yuan, and X. Y. Dong, "Coupling and decoupling of dual-core photonic bandgap fibers," Opt. Lett. 30, 2542-2544 (2005).
    [CrossRef] [PubMed]
  4. J. Laegsaard, "Directional coupling in twin-core photonic bandgap fibers," Opt. Lett. 30, 3281-3283 (2005).
    [CrossRef]
  5. M. Skorobogatiy, K. Saitoh, and M. Koshiba, "Transverse light guides in microstructured optical fibers," Opt. Lett. 31, 314-316 (2006).
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  7. A. Argyros, T. A. Birks, S. G. Leon-Saval, C. M. B. Cordeiro, and P. S. Russell, "Guidance properties of low-contrast photonic bandgap fibres," Opt. Express 13, 2503-2511 (2005).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  9. Z. Wang, T. Taru, T. A. Birks, J. C. Knight, Y. Liu, and J. Du, "Coupling in dual-core photonic bandgap fibers: theory and experiment," Opt. Express 15, 4795-4803 (2007).
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2007 (1)

2006 (2)

2005 (4)

2003 (1)

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
[CrossRef] [PubMed]

2001 (1)

1999 (1)

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

Allan, D. C.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

Argyros, A.

Birks, T. A.

Cordeiro, C. M. B.

Cregan, R. F.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

Dong, X. Y.

Du, J.

Joannopoulos, J. D.

Johnson, S. G.

Kai, G. Y.

Knight, J. C.

Z. Wang, T. Taru, T. A. Birks, J. C. Knight, Y. Liu, and J. Du, "Coupling in dual-core photonic bandgap fibers: theory and experiment," Opt. Express 15, 4795-4803 (2007).
[CrossRef] [PubMed]

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
[CrossRef] [PubMed]

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

Koshiba, M.

Laegsaard, J.

Leon-Saval, S. G.

Liu, J. F.

Liu, Y.

Liu, Y. G.

Luan, F.

Mangan, B. J.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

Roberts, P. J.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

Russell, P. S.

A. Argyros, T. A. Birks, S. G. Leon-Saval, C. M. B. Cordeiro, and P. S. Russell, "Guidance properties of low-contrast photonic bandgap fibres," Opt. Express 13, 2503-2511 (2005).
[CrossRef] [PubMed]

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

Russell, P. S. J.

Saitoh, K.

Skorobogatiy, M.

Sun, T. T.

Taru, T.

Wang, C.

Wang, Z.

Yuan, S. Z.

Zhang, C. S.

Zhang, W. G.

Nature (1)

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
[CrossRef] [PubMed]

Opt. Express (5)

Opt. Lett. (3)

Science (1)

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef] [PubMed]

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Figures (7)

Fig. 1.
Fig. 1.

Schematic of the directional coupler based on all-solid PBGFs. (a) Dc=8Λ; (b) core region for Dc=4Λ; (c) core region for Dc=6Λ.

Fig. 2.
Fig. 2.

Dispersion curves and mode field distribution of the guided modes in the single core all-solid PBGFs.

Fig. 3.
Fig. 3.

Dispersion curves of x-polarization core-guided supermodes and defect-guided modes in the resonant coupling all-solid PBGFs with Dc=4Λ.

Fig. 4.
Fig. 4.

Mode field distribution of supermodes at the point of Fig. 3.

Fig. 5.
Fig. 5.

Coupling length as a function of normalized frequency in the PBGFs with and without resonant rod in the case of Dc =4Λ.

Fig. 6.
Fig. 6.

Dispersion of guided modes of single core PBGF and resonant coupling PBGF with Dc =4Λ.

Fig. 7.
Fig. 7.

Coupling length as a function of normalized frequency in the PBGFs for Dc =4Λ, 6Λ, and 8Λ.

Equations (1)

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L c = π ( k n even i n odd i ) ( i = x , y )

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