Abstract

The higher-order interference noise that is caused by multireflection at the fiber sensor’s end surface in low- coherence fiber sensor array is proposed. The generation of the higher-order interference noise and its quantity and amplitude are theoretically analyzed. The second-order interference noises are experimentally demonstrated. The results show that the second-order noises arise in any sensor array composed of more than two sensors and the number of the second-order peaks is proportional to the third power of the sensor’s number. The ratio of the amplitude of the second-order noise to that of the signal peak is proportional to the reflectivity of the sensor’s end surface. In a sensor array, when the reflectivity is more than 105, the amplitude of the second-order noise is higher than other noises and it becomes a main factor that determines the signal-to-noise ratio of the sensor arrays. Therefore, reducing the higher-order interference noise can improve the multiplexing capacity of the sensor array.

© 2011 Optical Society of America

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J. Yang, L. B. Yuan, and W. Jin, Rev. Sci. Instrum. 78, 055106 (2007).
[CrossRef] [PubMed]

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L. B. Yuan and J. Yang, Sens. Actuators. A 105, 40 (2003).

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[CrossRef]

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[CrossRef]

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[CrossRef]

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
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[CrossRef]

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Flottee, T.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

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D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
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D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Han, J. H.

Hee, M. R.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
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[CrossRef] [PubMed]

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J. Yang, L. B. Yuan, and W. Jin, Rev. Sci. Instrum. 78, 055106 (2007).
[CrossRef] [PubMed]

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Laming, R. I.

P. R. Morkel, R. I. Laming, and D. N. Payne, Electron. Lett. 26, 96 (1990).
[CrossRef]

Li, X. L.

Lin, C. P.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Liu, X.

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P. R. Morkel, R. I. Laming, and D. N. Payne, Electron. Lett. 26, 96 (1990).
[CrossRef]

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B. M. Oliver, Proc. IRE. 49, 1960 (1961).

Payne, D. N.

P. R. Morkel, R. I. Laming, and D. N. Payne, Electron. Lett. 26, 96 (1990).
[CrossRef]

Puliafito, C. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Shuman, J. S.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Sorin, W. V.

W. V. Sorin and D. M. Baney, IEEE Photon. Technol. Lett. 7, 917 (1995).
[CrossRef]

W. V. Sorin and D. M. Baney, IEEE Photon. Technol. Lett. 4, 1404 (1992).
[CrossRef]

Stinson, W. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Swanson, E. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Takada, K.

K. Takada, J. Lightwave Technol. 20, 1001 (2002).
[CrossRef]

K. Takada, IEEE J. Quantum Electron. 34, 1098 (1998).
[CrossRef]

K. Takada, A. Himeno, and K. Yukimatsu, Appl. Phys. Lett. 59, 2483 (1991).
[CrossRef]

Yang, J.

J. Yang, L. B. Yuan, and W. Jin, Rev. Sci. Instrum. 78, 055106 (2007).
[CrossRef] [PubMed]

L. B. Yuan and J. Yang, Opt. Lett. 30, 601 (2005).
[CrossRef] [PubMed]

L. B. Yuan and J. Yang, Sens. Actuators. A 105, 40 (2003).

Youngquist, R. C.

Yuan, L. B.

J. Yang, L. B. Yuan, and W. Jin, Rev. Sci. Instrum. 78, 055106 (2007).
[CrossRef] [PubMed]

L. B. Yuan and J. Yang, Opt. Lett. 30, 601 (2005).
[CrossRef] [PubMed]

L. B. Yuan and J. Yang, Sens. Actuators. A 105, 40 (2003).

Yukimatsu, K.

K. Takada, A. Himeno, and K. Yukimatsu, Appl. Phys. Lett. 59, 2483 (1991).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

K. Takada, A. Himeno, and K. Yukimatsu, Appl. Phys. Lett. 59, 2483 (1991).
[CrossRef]

Electron. Lett. (1)

P. R. Morkel, R. I. Laming, and D. N. Payne, Electron. Lett. 26, 96 (1990).
[CrossRef]

IEEE J. Quantum Electron. (1)

K. Takada, IEEE J. Quantum Electron. 34, 1098 (1998).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

W. V. Sorin and D. M. Baney, IEEE Photon. Technol. Lett. 7, 917 (1995).
[CrossRef]

W. V. Sorin and D. M. Baney, IEEE Photon. Technol. Lett. 4, 1404 (1992).
[CrossRef]

J. Lightwave Technol. (1)

Opt. Lett. (2)

Proc. IEEE. (1)

H. Hodara, Proc. IEEE. 53, 696 (1965).
[CrossRef]

Proc. IRE. (1)

B. M. Oliver, Proc. IRE. 49, 1960 (1961).

Rev. Sci. Instrum. (1)

J. Yang, L. B. Yuan, and W. Jin, Rev. Sci. Instrum. 78, 055106 (2007).
[CrossRef] [PubMed]

Science (1)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Shuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flottee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Sens. Actuators. A (1)

L. B. Yuan and J. Yang, Sens. Actuators. A 105, 40 (2003).

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Figures (4)

Fig. 1
Fig. 1

Low-coherence fiber-optic system of sensor array.

Fig. 2
Fig. 2

Secondary reflection coherent peak of two sensors.

Fig. 3
Fig. 3

Low-coherence signal of three sensors in array.

Fig. 4
Fig. 4

Mobility characteristics of white-light interference signal and second reflection noise, when stretching different sensors in a three sensor system.

Equations (7)

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

S i S j , i , j = 1 n , S i S j L c ,
S i + S i + 1 + S i + 2 2 S i = S i + 2 + S i + 1 S i = S i + 2 + Δ S i , S n 1 = n 2 ,
S i + S i + 1 + S i + 2 2 S i 2 S i + 1 = S i Δ S i + 1 , S n 2 = n 2..
S odd = 2 n 3 3 n 2 2 n + 3 12 , n = 2 k 1 , S even = 2 n 3 3 n 2 2 n 12 , n = 2 k .
I i = 2 ρ P 0 · α · R i · k = 1 i T k 1 2 , T i = ( 1 R i ) β i , T 0 = 1 ,
SNR = I n I i , i = 2 ρ P 0 · α · R n · k = 1 n T k 1 2 2 ρ P 0 · α · R i 2 · k = 1 i + 1 T k 1 2 ,
SNR min = I n I 1 , 1 = T 2 n 4 R .

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