Abstract

A fiber interferometer for absolute distance measurements is presented whereby wavelength variation is achieved via a sinusoidal strain modulation of a fiber Bragg grating to generate a series of beat wavelengths. The interferometer employs fiber laser sources where the design is based on the use of narrow-bandwidth fiber Bragg gratings. The accuracy of the beat wavelengths is improved compared to the use of multiple wavelengths measured with conventional optical spectrum analyzers or available wavemeters. Initial measurements are presented for beat wavelengths of 254.74mm and 27.4m over an optical path difference of 200mm and 3.8m, respectively. Combined with a two (or three) wavelength interferometer, this technique has the potential for ultrahigh dynamic range metrology ranging over several meters while preserving subfringe resolution and a low system complexity.

© 2011 Optical Society of America

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2009 (4)

K. Falaggis, D. P. Towers, and C. E. Towers, J. Opt. A 11, 054008 (2009).
[CrossRef]

S. Hyun, Y.-J. Kim, Y. Kim, J. Jin, and S.-W. Kim, Meas. Sci. Technol. 20, 095302 (2009).
[CrossRef]

A. McCarthy, R. J. Collins, N. J. Krichel, V. Fernández, A. M. Wallace, and G. S. Buller, Appl. Opt. 48, 6241 (2009).
[CrossRef] [PubMed]

P. J. de Groot, Appl. Opt. 48, 6788 (2009).
[CrossRef] [PubMed]

2004 (2)

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

C. E. Towers, D. P. Towers, and J. D. C. Jones, Opt. Lett. 29, 1348 (2004).
[CrossRef] [PubMed]

2002 (2)

J. Burke, T. Bothe, W. Osten, and C. F. Hess, Proc. SPIE 4778, 312 (2002).
[CrossRef]

S. Leveque, Y. Salvade, R. Dandliker, and O. Scherler, Laser Focus World 38 (4), 101 (2002).

1995 (1)

J. Thiel, T. Pfeifer, and M. Hartmann, Measurement 16, 1 (1995).
[CrossRef]

1988 (1)

Bothe, T.

J. Burke, T. Bothe, W. Osten, and C. F. Hess, Proc. SPIE 4778, 312 (2002).
[CrossRef]

Buller, G. S.

Burke, J.

J. Burke, T. Bothe, W. Osten, and C. F. Hess, Proc. SPIE 4778, 312 (2002).
[CrossRef]

Choi, S. S.

Y. M. Jhon, M.-W. Kim, B. K. Kim, J. C. Lee, S. K. Kim, and S. S. Choi, in Proceedings of Conference on Lasers and Electro-Optics/Pacific Rim '99 (Optical Society of America, 1999), Vol. 1, p. 23.

Collins, R. J.

Dandliker, R.

S. Leveque, Y. Salvade, R. Dandliker, and O. Scherler, Laser Focus World 38 (4), 101 (2002).

Dändliker, R.

de Groot, P. J.

Falaggis, K.

K. Falaggis, D. P. Towers, and C. E. Towers, J. Opt. A 11, 054008 (2009).
[CrossRef]

Fernández, V.

Grajales-Coutino, R.

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Gutierrez-Zainos, F.

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Hartmann, M.

J. Thiel, T. Pfeifer, and M. Hartmann, Measurement 16, 1 (1995).
[CrossRef]

Haus, J. W.

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Hess, C. F.

J. Burke, T. Bothe, W. Osten, and C. F. Hess, Proc. SPIE 4778, 312 (2002).
[CrossRef]

Hyun, S.

S. Hyun, Y.-J. Kim, Y. Kim, J. Jin, and S.-W. Kim, Meas. Sci. Technol. 20, 095302 (2009).
[CrossRef]

Ibarra-Escamilla, B.

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Jhon, Y. M.

Y. M. Jhon, M.-W. Kim, B. K. Kim, J. C. Lee, S. K. Kim, and S. S. Choi, in Proceedings of Conference on Lasers and Electro-Optics/Pacific Rim '99 (Optical Society of America, 1999), Vol. 1, p. 23.

Jin, J.

S. Hyun, Y.-J. Kim, Y. Kim, J. Jin, and S.-W. Kim, Meas. Sci. Technol. 20, 095302 (2009).
[CrossRef]

Jones, J. D. C.

Kim, B. K.

Y. M. Jhon, M.-W. Kim, B. K. Kim, J. C. Lee, S. K. Kim, and S. S. Choi, in Proceedings of Conference on Lasers and Electro-Optics/Pacific Rim '99 (Optical Society of America, 1999), Vol. 1, p. 23.

Kim, M.-W.

Y. M. Jhon, M.-W. Kim, B. K. Kim, J. C. Lee, S. K. Kim, and S. S. Choi, in Proceedings of Conference on Lasers and Electro-Optics/Pacific Rim '99 (Optical Society of America, 1999), Vol. 1, p. 23.

Kim, S. K.

Y. M. Jhon, M.-W. Kim, B. K. Kim, J. C. Lee, S. K. Kim, and S. S. Choi, in Proceedings of Conference on Lasers and Electro-Optics/Pacific Rim '99 (Optical Society of America, 1999), Vol. 1, p. 23.

Kim, S.-W.

S. Hyun, Y.-J. Kim, Y. Kim, J. Jin, and S.-W. Kim, Meas. Sci. Technol. 20, 095302 (2009).
[CrossRef]

Kim, Y.

S. Hyun, Y.-J. Kim, Y. Kim, J. Jin, and S.-W. Kim, Meas. Sci. Technol. 20, 095302 (2009).
[CrossRef]

Kim, Y.-J.

S. Hyun, Y.-J. Kim, Y. Kim, J. Jin, and S.-W. Kim, Meas. Sci. Technol. 20, 095302 (2009).
[CrossRef]

Krichel, N. J.

Kuzin, E. A.

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Lee, J. C.

Y. M. Jhon, M.-W. Kim, B. K. Kim, J. C. Lee, S. K. Kim, and S. S. Choi, in Proceedings of Conference on Lasers and Electro-Optics/Pacific Rim '99 (Optical Society of America, 1999), Vol. 1, p. 23.

Leveque, S.

S. Leveque, Y. Salvade, R. Dandliker, and O. Scherler, Laser Focus World 38 (4), 101 (2002).

McCarthy, A.

Osten, W.

J. Burke, T. Bothe, W. Osten, and C. F. Hess, Proc. SPIE 4778, 312 (2002).
[CrossRef]

Pfeifer, T.

J. Thiel, T. Pfeifer, and M. Hartmann, Measurement 16, 1 (1995).
[CrossRef]

Pottiez, O.

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Prongué, D.

Salvade, Y.

S. Leveque, Y. Salvade, R. Dandliker, and O. Scherler, Laser Focus World 38 (4), 101 (2002).

Scherler, O.

S. Leveque, Y. Salvade, R. Dandliker, and O. Scherler, Laser Focus World 38 (4), 101 (2002).

Thalmann, R.

Thiel, J.

J. Thiel, T. Pfeifer, and M. Hartmann, Measurement 16, 1 (1995).
[CrossRef]

Towers, C. E.

K. Falaggis, D. P. Towers, and C. E. Towers, J. Opt. A 11, 054008 (2009).
[CrossRef]

C. E. Towers, D. P. Towers, and J. D. C. Jones, Opt. Lett. 29, 1348 (2004).
[CrossRef] [PubMed]

Towers, D. P.

K. Falaggis, D. P. Towers, and C. E. Towers, J. Opt. A 11, 054008 (2009).
[CrossRef]

C. E. Towers, D. P. Towers, and J. D. C. Jones, Opt. Lett. 29, 1348 (2004).
[CrossRef] [PubMed]

Wallace, A. M.

Zaca-Moran, P.

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Appl. Opt. (2)

J. Opt. A (1)

K. Falaggis, D. P. Towers, and C. E. Towers, J. Opt. A 11, 054008 (2009).
[CrossRef]

Laser Focus World (1)

S. Leveque, Y. Salvade, R. Dandliker, and O. Scherler, Laser Focus World 38 (4), 101 (2002).

Meas. Sci. Technol. (1)

S. Hyun, Y.-J. Kim, Y. Kim, J. Jin, and S.-W. Kim, Meas. Sci. Technol. 20, 095302 (2009).
[CrossRef]

Measurement (1)

J. Thiel, T. Pfeifer, and M. Hartmann, Measurement 16, 1 (1995).
[CrossRef]

Opt. Commun. (1)

B. Ibarra-Escamilla, E. A. Kuzin, O. Pottiez, J. W. Haus, F. Gutierrez-Zainos, R. Grajales-Coutino, and P. Zaca-Moran, Opt. Commun. 242, 191 (2004).
[CrossRef]

Opt. Lett. (2)

Proc. SPIE (1)

J. Burke, T. Bothe, W. Osten, and C. F. Hess, Proc. SPIE 4778, 312 (2002).
[CrossRef]

Other (1)

Y. M. Jhon, M.-W. Kim, B. K. Kim, J. C. Lee, S. K. Kim, and S. S. Choi, in Proceedings of Conference on Lasers and Electro-Optics/Pacific Rim '99 (Optical Society of America, 1999), Vol. 1, p. 23.

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Figures (2)

Fig. 1
Fig. 1

Measured interferometer phase using FBG modulation with an equivalent beat wavelength of (a)  Λ = 27.40 m and (b)  Λ = 254.74 mm , with f F = 4.5 Hz .

Fig. 2
Fig. 2

Measurement results of the interferometer phase for Λ = 254.74 mm and OPD 91 mm having a PZT voltage with various frequencies of f F . An arbitrary offset has been added for better visualization.

Equations (11)

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ν ν 0 ( 1 + F sin [ 2 π f F t + ψ ] ) ,
ν max = ν 0 ( 1 + F ) and ν min = ν 0 ( 1 F )
2 F = 1 / s f ,
Λ = c / ( ν max ν min ) .
I = I 0 + I 0 γ cos [ 2 π ( OPD / λ 0 ) ( λ 0 / λ ) ] = I 0 + I 0 γ cos [ 2 π ( ( m + ε ) + E sin [ 2 π f 0 t ] ) ( 1 + F sin [ 2 π f F t ] ) ] ,
ϕ ( t ) = 2 π ( ( m + ε ) + ( m + ε ) 2 s f sin [ 2 π f F t ] )
I = I 0 + I 0 γ cos ( ϕ ( t ) + 2 π E sin [ 2 π f 0 t ] ) .
OPD λ 0 s f [ max { ϕ ( t ) } min { ϕ ( t ) } ] / 2 π .
1 / S = 1 / s f # 1 / s f ,
1 / S 1 / s f ( | δ λ | / λ 0 + | δ Δ | / Δ ) .
δ Δ / Δ = L / Δ L ,

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