Abstract

We propose a remote directional coupler in Bragg fibers that allows for efficient conversion of the fundamental core mode into an annular mode structure over remote distances. We give design guidelines and confirm the results by finite-difference time-domain calculations.

© 2004 Optical Society of America

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References

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    [CrossRef]
  16. S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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  20. M. Qiu and S. He, Phys. Lett. A 278, 348 (2001).
    [CrossRef]

2003 (2)

2002 (4)

Y. Xu, G. X. Ouyang, R. K. Lee, and A. Yariv, J. Lightwave Technol. 20, 428 (2002).
[CrossRef]

G. Ouyang, Y. Xu, and A. Yariv, Opt. Express 10, 899 (2002), http://www.opticsexpress.org .
[CrossRef]

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

2001 (5)

2000 (1)

F. Brechet, P. Roy, J. Marcou, and D. Pagnoux, Electron. Lett. 6, 514 (2000).
[CrossRef]

1999 (1)

1995 (1)

U. Peschel, T. Peschel, and F. Lederer, Appl. Phys. Lett. 67, 2111 (1995).
[CrossRef]

1994 (1)

J. Gehler, A. Bräuer, and W. Karthe, Electron. Lett. 30, 218 (1994).
[CrossRef]

1991 (1)

1986 (1)

M. A. Duguay, Y. Kokubun, T. L. Koch, and L. Pfeiffer, Appl. Phys. Lett. 49, 13 (1986).
[CrossRef]

1982 (1)

K. Morishita, Y. Obata, and N. Kumagai, IEEE Trans. Microwave Theory Tech. 30, 1821 (1982).
[CrossRef]

1978 (1)

Benoit, G.

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

Bräuer, A.

J. Gehler, A. Bräuer, and W. Karthe, Electron. Lett. 30, 218 (1994).
[CrossRef]

Brechet, F.

J. Marcou, F. Brechet, and P. Roy, J. Opt. A Pure Appl. Opt. 3, S144 (2001).
[CrossRef]

F. Brechet, P. Roy, J. Marcou, and D. Pagnoux, Electron. Lett. 6, 514 (2000).
[CrossRef]

Chen, C.

Duguay, M. A.

M. A. Duguay, Y. Kokubun, T. L. Koch, and L. Pfeiffer, Appl. Phys. Lett. 49, 13 (1986).
[CrossRef]

Engeness, T. D.

Fan, S.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, Science 289, 414 (2001).

Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, and E. L. Thomas, J. Lightwave Technol. 17, 2039 (1999).
[CrossRef]

Fink, Y.

Gehler, J.

J. Gehler, A. Bräuer, and W. Karthe, Electron. Lett. 30, 218 (1994).
[CrossRef]

Hart, S. D.

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

He, S.

M. Qiu and S. He, Phys. Lett. A 278, 348 (2001).
[CrossRef]

Ibanescu, M.

Jacobs, S.

Jacobs, S. A.

Joannopoulos, J. D.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, Science 289, 414 (2001).

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljǎcić, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, Opt. Express 9, 748 (2001), http://www.opticsexpress.org .
[CrossRef] [PubMed]

Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, and E. L. Thomas, J. Lightwave Technol. 17, 2039 (1999).
[CrossRef]

Johnson, S. G.

Karthe, W.

J. Gehler, A. Bräuer, and W. Karthe, Electron. Lett. 30, 218 (1994).
[CrossRef]

Koch, T. L.

M. A. Duguay, Y. Kokubun, T. L. Koch, and L. Pfeiffer, Appl. Phys. Lett. 49, 13 (1986).
[CrossRef]

Kokubun, Y.

M. A. Duguay, Y. Kokubun, T. L. Koch, and L. Pfeiffer, Appl. Phys. Lett. 49, 13 (1986).
[CrossRef]

Kumagai, N.

K. Morishita, Y. Obata, and N. Kumagai, IEEE Trans. Microwave Theory Tech. 30, 1821 (1982).
[CrossRef]

Lederer, F.

Lee, R. K.

Leine, L.

Love, J. D.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Mann, M.

Marcou, J.

J. Marcou, F. Brechet, and P. Roy, J. Opt. A Pure Appl. Opt. 3, S144 (2001).
[CrossRef]

F. Brechet, P. Roy, J. Marcou, and D. Pagnoux, Electron. Lett. 6, 514 (2000).
[CrossRef]

Marom, E.

Maskaly, G. R.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Morishita, K.

K. Morishita, Y. Obata, and N. Kumagai, IEEE Trans. Microwave Theory Tech. 30, 1821 (1982).
[CrossRef]

Obata, Y.

K. Morishita, Y. Obata, and N. Kumagai, IEEE Trans. Microwave Theory Tech. 30, 1821 (1982).
[CrossRef]

Ouyang, G.

Ouyang, G. X.

Pagnoux, D.

F. Brechet, P. Roy, J. Marcou, and D. Pagnoux, Electron. Lett. 6, 514 (2000).
[CrossRef]

Peschel, T.

U. Peschel, T. Peschel, and F. Lederer, Appl. Phys. Lett. 67, 2111 (1995).
[CrossRef]

Peschel, U.

U. Peschel, T. Peschel, and F. Lederer, Appl. Phys. Lett. 67, 2111 (1995).
[CrossRef]

Pfeiffer, L.

M. A. Duguay, Y. Kokubun, T. L. Koch, and L. Pfeiffer, Appl. Phys. Lett. 49, 13 (1986).
[CrossRef]

Prideaux, P. H.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Qiu, M.

M. Qiu and S. He, Phys. Lett. A 278, 348 (2001).
[CrossRef]

Ripin, D. J.

Roy, P.

J. Marcou, F. Brechet, and P. Roy, J. Opt. A Pure Appl. Opt. 3, S144 (2001).
[CrossRef]

F. Brechet, P. Roy, J. Marcou, and D. Pagnoux, Electron. Lett. 6, 514 (2000).
[CrossRef]

Scheuer, J.

Skorobogatiy, M.

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Soljacic, M.

Temelkuran, B.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

Thomas, E. L.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, Science 289, 414 (2001).

Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, and E. L. Thomas, J. Lightwave Technol. 17, 2039 (1999).
[CrossRef]

Trutschel, U.

Wächter, C.

Weisberg, O.

Xu, Y.

Yariv, A.

Yeh, P.

Appl. Phys. Lett. (2)

M. A. Duguay, Y. Kokubun, T. L. Koch, and L. Pfeiffer, Appl. Phys. Lett. 49, 13 (1986).
[CrossRef]

U. Peschel, T. Peschel, and F. Lederer, Appl. Phys. Lett. 67, 2111 (1995).
[CrossRef]

Electron. Lett. (2)

J. Gehler, A. Bräuer, and W. Karthe, Electron. Lett. 30, 218 (1994).
[CrossRef]

F. Brechet, P. Roy, J. Marcou, and D. Pagnoux, Electron. Lett. 6, 514 (2000).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

K. Morishita, Y. Obata, and N. Kumagai, IEEE Trans. Microwave Theory Tech. 30, 1821 (1982).
[CrossRef]

J. Lightwave Technol. (2)

J. Opt. A Pure Appl. Opt. (1)

J. Marcou, F. Brechet, and P. Roy, J. Opt. A Pure Appl. Opt. 3, S144 (2001).
[CrossRef]

J. Opt. Soc. Am. (1)

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

Nature (1)

B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, Nature 420, 650 (2002).
[CrossRef] [PubMed]

Opt. Express (4)

Opt. Lett. (1)

Phys. Lett. A (1)

M. Qiu and S. He, Phys. Lett. A 278, 348 (2001).
[CrossRef]

Science (2)

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, Science 289, 414 (2001).

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Other (1)

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

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Figures (3)

Fig. 1
Fig. 1

Radial refractive-index profile of a Bragg fiber (core, dco=17 µm, n2=1.45; reflectors, n1=1.459, d1=1.57 µm, n2=1.45, d2=5.5 µm; spacing, n2=1.45, dsp=27.5 µm; annular waveguide, n2=1.45, dw=11.05 µm) and the respective radial dependence of mode profiles eφr [with Eφr,φ,z,t=eφrcos φor-sin φexpiβz-iωt+c.c. for odd (or even) modes] of the symmetric and antisymmetric modes for λ=1.06 µm.

Fig. 2
Fig. 2

Real part of the effective index of the supermodes (a, antisymmetric; s, symmetric) as a function of spacing distance dsp (other parameters are as in Fig. 1). The dashed line marks the spacing distance at which the fields in Fig. 1 were calculated. The shaded areas designate the tolerable spacing regions where the modes have almost identical shapes in the waveguides.

Fig. 3
Fig. 3

Evolution of the intensity in the Bragg fiber coupler. The propagation lengths are (a) 0 mm, (b) 3.5 mm, (c) 6.9 mm, and (d) 14.0 mm.

Equations (4)

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

Ezr,φ,z,t=AiJmkir+BiYmkir×sinmφexpiβz-iωt+c.c.,
Hzr,φ,z,t=CiJmkir+DiYmkir×cosmφexpiβz-iωt+c.c.
Ezr,φ,z,t=AN+1Hm2kN+1r+BN+1Hm1kN+1rsinmφexpiβz-iωt+c.c.,
Hzr,φ,z,t=CN+1Hm2kN+1r+DN+1Hm1kN+1rcosmφexpiβz-iωt+c.c.

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