Abstract

This paper describes the interrogation of interferometer-based transducers with a technique that involves the use of a tilted fiber Bragg grating. The interrogation process will be analyzed both from the conceptual and experimental points of view. Simultaneous interrogation of multiplexed interferometric transducers is successfully checked using this technique.

© 2004 Optical Society of America

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References

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  1. J.M. López-Higuera, editor, Handbook of Optical Fiber Sensing Technology (John Wiley Ed., 2002).
  2. A.D. Kersey, M.A. Davis, H.J. Patrick, M. LeBlanc, K. P. Koo, C.G. Askins. M.A. Putnam and E.J. Frieble, �??Fibre grating sensors,�?? J. Lightwave Technol. 15, 1442-1463 (1997).
    [CrossRef]
  3. J.L. Santos, A.P. Leite and D.A. Jackson, �??Optical fiber sensing with a low-finesse Fabry-Pérot cavity,�?? Applied Optics 31, 7361-7366 (1992).
    [CrossRef] [PubMed]
  4. Y. Botsev, N. Gorbatov, M. Tur, U. Ben-Simon, I. Kressel, A.K. Green, G. Ghilai, S. Gali, �??Fiber Bragg grating sensing in smart composite patch repairs for aging aircraft,�?? J.M. López-Higuera and B. Culshaw, eds., Proceedings of the EWOFS�??04, Proc. SPIE 5502, 100-103 (2004).
    [CrossRef]
  5. P. Nash, �??Review of interferometric optical fibre hydrophone Technology,�?? Proceedings of IEE 143, 204- 209 (1996).
  6. C. Jáuregui, A. Quintela, J.M. López-Higuera, �??Interrogation Unit for Fiber Bragg Grating Sensors that Uses a Slanted Fiber Grating,�?? Opt. Lett. 29, 676-678 (2004).
    [CrossRef] [PubMed]
  7. J. Kusuma, �??Parametric Frequency Estimation: ESPRIT and MUSIC�?? (2002).
  8. C. Jáuregui, A. Quintela, F.J. Madruga, A. Cobo, J.M. López-Higuera, �??Fiber Bragg Grating Interrogation Scheme Based on the Radiated Near-Field of a Tilted Fiber Grating,�?? Proceedings of the OFS�??16, K. Hotate, ed., (Nara, Japan, 2003), 702-705.
  9. S. Haykin, Adaptative filter theory (Ed. Prentice Hall, 2nd Edition, 1991).

Applied Optics (1)

J.L. Santos, A.P. Leite and D.A. Jackson, �??Optical fiber sensing with a low-finesse Fabry-Pérot cavity,�?? Applied Optics 31, 7361-7366 (1992).
[CrossRef] [PubMed]

J. Lightwave Technol. (1)

A.D. Kersey, M.A. Davis, H.J. Patrick, M. LeBlanc, K. P. Koo, C.G. Askins. M.A. Putnam and E.J. Frieble, �??Fibre grating sensors,�?? J. Lightwave Technol. 15, 1442-1463 (1997).
[CrossRef]

Opt. Lett. (1)

Proc. SPIE (1)

Y. Botsev, N. Gorbatov, M. Tur, U. Ben-Simon, I. Kressel, A.K. Green, G. Ghilai, S. Gali, �??Fiber Bragg grating sensing in smart composite patch repairs for aging aircraft,�?? J.M. López-Higuera and B. Culshaw, eds., Proceedings of the EWOFS�??04, Proc. SPIE 5502, 100-103 (2004).
[CrossRef]

Proceedings of IEE (1)

P. Nash, �??Review of interferometric optical fibre hydrophone Technology,�?? Proceedings of IEE 143, 204- 209 (1996).

Proceedings of the OFS???16 (1)

C. Jáuregui, A. Quintela, F.J. Madruga, A. Cobo, J.M. López-Higuera, �??Fiber Bragg Grating Interrogation Scheme Based on the Radiated Near-Field of a Tilted Fiber Grating,�?? Proceedings of the OFS�??16, K. Hotate, ed., (Nara, Japan, 2003), 702-705.

Other (3)

S. Haykin, Adaptative filter theory (Ed. Prentice Hall, 2nd Edition, 1991).

J. Kusuma, �??Parametric Frequency Estimation: ESPRIT and MUSIC�?? (2002).

J.M. López-Higuera, editor, Handbook of Optical Fiber Sensing Technology (John Wiley Ed., 2002).

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Figures (5)

Fig. 1.
Fig. 1.

Block diagram of the proposed interrogation technique for reflective interferometer-based transducers.

Fig. 2.
Fig. 2.

Spectra of a 193µm long low-finesse Fabry-Perot Cavity as recovered by: a) an Optical Spectrum Analyzer and b) the digital adaptative filter in the interrogation technique proposed in this paper.

Fig. 3.
Fig. 3.

Results of the cavity length sweep (dotted line) applied to a low-finesse Fabry-Perot cavity in comparison with the actual length (straight line). Experiment carried out with an integration time of 5ms and 16 bits of A/D conversion.

Fig. 4.
Fig. 4.

Results of the time-stability and resolution experiment that consisted on monitoring a low-finesse Fabry-Perot cavity before and after a 3µm jump is applied to its length. The experiment was repeated for two initial lengths: a) 100µm and b) 103µm. Experiment carried out with an integration time of 5ms and 16 bits of A/D conversion.

Fig. 5.
Fig. 5.

Results of a length sweep applied to one of two multiplexed cavities (red squared line). The length recovered from the other cavity is also shown (blue dotted line). Besides, the result of the same sweep applied to a single non-multiplexed cavity is shown for comparison purposes (hollow green squared line). Experiment carried out with an integration time of 7ms and 16 bits of A/D conversion.

Equations (6)

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x [ n ] = A 1 · e j 4 π d n λ s
r x [ k ] = A 1 2 A [ k ] · e j ( p 3 k 3 + p 2 k 2 + p 1 k ) 4 π d λ c 2 ; with A [ k ] = sinc ( 2 π k d β )
R x = ( r x [ 0 ] r x [ 1 ] r x [ M 1 ] r x [ 1 ] r x [ 0 ] r x [ M 2 ] r x [ ( M 1 ) ] r x [ ( M 2 ) ] r x [ 0 ] ) with M < 10
e ̂ i = ( r x [ 0 ] r x [ 1 ] r x [ ( M 1 ) ] )
e ̂ 1 H u ̂ i m = 0 M 1 u i [ m ] · A 1 2 · e j p 1 4 π d λ c 2 m = 0
e ̂ ( w ' ) H u ̂ i m = 0 M 1 u i [ m ] · e j w ' m ; with w ' = 4 π d λ c 2 p 1

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