Abstract

A new, simple method for characterization of fiber Bragg gratings is proposed. The group delay of the grating is obtained from measurement of the spectral reflectivity response of a grating that is interfering with a bare-fiber end reflection.

© 1999 Optical Society of America

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References

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  1. N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, Opt. Fiber. Technol. 5, 119 (1999).
    [CrossRef]
  2. D. Sandel, R. Noé, G. Heise, and B. Borchert, IEEE J. Lightwave Technol. 16, 2435 (1998).
    [CrossRef]
  3. T. Aktosun and P. E. Sacks, Inverse Probl. 14, 211 (1998).
    [CrossRef]
  4. L. Poladian, Opt. Lett. 22, 1571 (1997).
    [CrossRef]
  5. A. Carballar and M. A. Muriel, IEEE J. Lightwave Technol. 15, 1314 (1997).
    [CrossRef]
  6. T. Erdogan, IEEE J. Lightwave Technol. 15, 1277 (1997).
    [CrossRef]
  7. M. Froggatt, Appl. Opt. 35, 5162 (1996).
    [CrossRef] [PubMed]

1999 (1)

N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, Opt. Fiber. Technol. 5, 119 (1999).
[CrossRef]

1998 (2)

D. Sandel, R. Noé, G. Heise, and B. Borchert, IEEE J. Lightwave Technol. 16, 2435 (1998).
[CrossRef]

T. Aktosun and P. E. Sacks, Inverse Probl. 14, 211 (1998).
[CrossRef]

1997 (3)

A. Carballar and M. A. Muriel, IEEE J. Lightwave Technol. 15, 1314 (1997).
[CrossRef]

T. Erdogan, IEEE J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

L. Poladian, Opt. Lett. 22, 1571 (1997).
[CrossRef]

1996 (1)

Aktosun, T.

T. Aktosun and P. E. Sacks, Inverse Probl. 14, 211 (1998).
[CrossRef]

Borchert, B.

D. Sandel, R. Noé, G. Heise, and B. Borchert, IEEE J. Lightwave Technol. 16, 2435 (1998).
[CrossRef]

Carballar, A.

A. Carballar and M. A. Muriel, IEEE J. Lightwave Technol. 15, 1314 (1997).
[CrossRef]

Erdogan, T.

T. Erdogan, IEEE J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

Ferdinand, P.

N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, Opt. Fiber. Technol. 5, 119 (1999).
[CrossRef]

Froggatt, M.

Heise, G.

D. Sandel, R. Noé, G. Heise, and B. Borchert, IEEE J. Lightwave Technol. 16, 2435 (1998).
[CrossRef]

Magne, S.

N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, Opt. Fiber. Technol. 5, 119 (1999).
[CrossRef]

Martinez, C.

N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, Opt. Fiber. Technol. 5, 119 (1999).
[CrossRef]

Muriel, M. A.

A. Carballar and M. A. Muriel, IEEE J. Lightwave Technol. 15, 1314 (1997).
[CrossRef]

Noé, R.

D. Sandel, R. Noé, G. Heise, and B. Borchert, IEEE J. Lightwave Technol. 16, 2435 (1998).
[CrossRef]

Poladian, L.

Roussel, N.

N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, Opt. Fiber. Technol. 5, 119 (1999).
[CrossRef]

Sacks, P. E.

T. Aktosun and P. E. Sacks, Inverse Probl. 14, 211 (1998).
[CrossRef]

Sandel, D.

D. Sandel, R. Noé, G. Heise, and B. Borchert, IEEE J. Lightwave Technol. 16, 2435 (1998).
[CrossRef]

Appl. Opt. (1)

IEEE J. Lightwave Technol. (3)

D. Sandel, R. Noé, G. Heise, and B. Borchert, IEEE J. Lightwave Technol. 16, 2435 (1998).
[CrossRef]

A. Carballar and M. A. Muriel, IEEE J. Lightwave Technol. 15, 1314 (1997).
[CrossRef]

T. Erdogan, IEEE J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

Inverse Probl. (1)

T. Aktosun and P. E. Sacks, Inverse Probl. 14, 211 (1998).
[CrossRef]

Opt. Fiber. Technol. (1)

N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, Opt. Fiber. Technol. 5, 119 (1999).
[CrossRef]

Opt. Lett. (1)

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Figures (5)

Fig. 1
Fig. 1

Fabry–Perot cavity consisting of a FBG and a bare end reflection.

Fig. 2
Fig. 2

Reflectivity Rm of the Fabry–Perot configuration, including errors according to Eq. (10) with A=0.02 (solid curve), and reflectivity R1 of the almost-uniform FBG (dashed curve).

Fig. 3
Fig. 3

Retrieved group delays (dashed and dotted curves) compared with the true group delay of the FBG (solid curve). The dotted curve is computed from noisy data A=0.02, whereas the dashed curve is computed from noise-free data A=0.

Fig. 4
Fig. 4

Measured reflectivity of an apodized FBG and end reflection.

Fig. 5
Fig. 5

Retrieved group delay of an apodized FBG. The three curves correspond to three independent measurements.

Equations (11)

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T3δ=T1δT2δ,
Tjδ=1tj-rtjljtj1tj*
1t3=1t1t2-r1t1l2t2.
r1=1l21-t1t2t3,
t3=t1t21-r1l2=t1t21-r1l2expiφ+i2δL2,
R3δ=1-t1t221+r1l22-2r1l2cosφ+2δL2=1-t1t221+r1l22m=0g cosφ+2δL2m,
g=gδ=2r1l21+r1l22
Rfiltδ=-hδexpiφ+2δL2,
hδ=t1t221+r1l22m=02m+1mg22m+1=R1R21-R11-R21-R1R2
Rmδ=R3δ1+Ansδ+Andδ,
Δλ=λ22L3neff,

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