Abstract

We report on a numerical analysis of the nonlinear coupling characteristics in triangular triple-core photonic crystal fibers (TTC-PCFs) by using coupled mode theory. The results show that the coupling of the TTC-PCFs exhibit more excellent power selectivity than that of the dual-core PCF and sharper optical switching and coupling-band with lower critical power are implemented in asymmetric TTC-PCF. By adjusting the parameters of the TTC-PCF structure and length, a coupling-band power controlled with better flatness will be obtained, in which more than 90% input power can be transferred. These results maybe offer a new possibility for application fields including optical switching, pulse shaping and pulse compressing.

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2009

2008

2007

2006

2005

2004

2003

2000

B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, “Experimental study of dual-core photonic crystal fibre,” Electron. Lett. 36(16), 1358–1359 (2000).
[CrossRef]

1994

1991

1988

1987

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Aceves, A. B.

Andrejco, M. J.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Bang, O.

Betlej, A.

Birks, T. A.

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(8), 4795–4803 (2007).
[CrossRef] [PubMed]

B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, “Experimental study of dual-core photonic crystal fibre,” Electron. Lett. 36(16), 1358–1359 (2000).
[CrossRef]

Bise, R. T.

Bjarklev, A.

Christodoulides, D. N.

Di Bin, P.

Digiovanni, D. J.

Du, J.

Fini, J.

Friberg, S. R.

S. R. Friberg, A. M. Weiner, Y. Silberberg, B. G. Sfez, and P. S. Smith, “Femotosecond switching in a dual-core-fiber nonlinear coupler,” Opt. Lett. 13(10), 904–906 (1988).
[CrossRef] [PubMed]

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Greenaway, A. H.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, “Experimental study of dual-core photonic crystal fibre,” Electron. Lett. 36(16), 1358–1359 (2000).
[CrossRef]

Huang, W.

Jankovic, L.

Khan, K. R.

Kivshar, Y. S.

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(8), 4795–4803 (2007).
[CrossRef] [PubMed]

B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, “Experimental study of dual-core photonic crystal fibre,” Electron. Lett. 36(16), 1358–1359 (2000).
[CrossRef]

Koshiba, M.

Laegsgaard, J.

Lederer, F.

Liu, M.

Liu, Y.

Makris, K. G.

Mangan, B. J.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, “Experimental study of dual-core photonic crystal fibre,” Electron. Lett. 36(16), 1358–1359 (2000).
[CrossRef]

Mothe, N.

Oliver, M. K.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Olszewski, J.

Reichenbach, K. L.

Russell, P.

P. Russell, “Photonic crystal fibers,” Science 299(5605), 358–362 (2003).
[CrossRef] [PubMed]

Russell, P. St. J.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, “Experimental study of dual-core photonic crystal fibre,” Electron. Lett. 36(16), 1358–1359 (2000).
[CrossRef]

Saifi, M. A.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Saitoh, K.

Salgueiro, J. R.

Sato, Y.

Schmidt-Hattenberger, C.

Sfez, B. G.

Shum, P.

Silberberg, Y.

S. R. Friberg, A. M. Weiner, Y. Silberberg, B. G. Sfez, and P. S. Smith, “Femotosecond switching in a dual-core-fiber nonlinear coupler,” Opt. Lett. 13(10), 904–906 (1988).
[CrossRef] [PubMed]

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Smith, P. S.

Smith, P. W.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Stegeman, G. I.

Sun, X.

Suntsov, S.

Szpulak, M.

Taru, T.

Tonello, A.

Toulouse, J.

Trutschel, U.

Urbanczyk, W.

Wabnitz, S.

Wang, Z.

Weiner, A. M.

Wu, T. X.

Xu, C.

Yan, Y.

Appl. Phys. Lett.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51(15), 1135–1137 (1987).
[CrossRef]

Electron. Lett.

B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, and A. H. Greenaway, “Experimental study of dual-core photonic crystal fibre,” Electron. Lett. 36(16), 1358–1359 (2000).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Express

Opt. Lett.

Science

P. Russell, “Photonic crystal fibers,” Science 299(5605), 358–362 (2003).
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

Geometries of (a) symmetric and (b) asymmetric TTC-PCF

Fig. 2
Fig. 2

(a) Normalized powers of the three cores in a symmetric TTC-PCF vs. the propagation distance when P 0 = 1W; (b)-(d) normalized mode field distributions at 0m, 0.05m and 0.139m.

Fig. 3
Fig. 3

Transmittances of the three cores vs. the input power P 0 in a symmetric TTC-PCF with length L c.

Fig. 4
Fig. 4

Transmittances of the input cores vs. the input power P 0 in the TTC-PCFs with length L c. Dashed and solid lines correspond to the symmetric and asymmetric TTC-PCFs, respectively.

Fig. 5
Fig. 5

Transmittances of the input cores vs. the input power P 0 in the TTC-PCF with length L b. Dashed and solid lines correspond to symmetric and asymmetric TTC-PCFs, respectively.

Fig. 6
Fig. 6

Transmittances of the input core vs. the input power P 0 in (a) symmetric and (b) asymmetric TTC-PCFs with different lengths.

Equations (3)

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E ( x , y , z , t ) = m = 1 3 A m ( z , t ) F m ( x , y )     e i   β 0 m z .
A 1 z = i κ 12 A 2 + i κ 13 A 3 + i γ 1 ( | A 1 | 2 + η 12 | A 2 2 | + η 13 | A 3 2 | ) A 1 A 2 z = i κ 21 A 1 + i κ 23 A 3 + i γ 2 ( | A 2 | 2 + η 21 | A 1 2 | + η 23 | A 3 2 | ) A 2 . A 3 z = i κ 31 A 1 + i κ 32 A 2 + i γ 3 ( | A 3 | 2 + η 31 | A 1 2 | + η 32 | A 2 2 | ) A 3
κ l m = k 0 2 β Ω ( n 2 ( x , y ) n l 2 ( x , y ) )     F l ( x , y ) F m ( x , y )   d Ω .

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