Abstract

We describe the use of a matched linearly chirped fiber Bragg grating (FBG) pair as a key element in an adjustable optical delay line. This delay line has the unique property that the achievable optical group delay is orders of magnitude greater (factor of 102 in our experiment) than the actual physical displacement. We demonstrate operation of such an optical delay line over a delay range of 3.5 mm using a pair of matched 1300-nm chirped FBGs with a bandwidth of 20 nm each.

© 2004 Optical Society of America

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  1. M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
    [CrossRef]
  2. C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
    [CrossRef] [PubMed]
  3. S. Yazdanfar, A. M. Rollins, and J. A. Izatt, Opt. Lett. 25, 1448 (2000).
    [CrossRef]
  4. A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.
  5. F. Ouellette, Opt. Lett. 12, 847 (1987).
    [CrossRef] [PubMed]
  6. B. H. Lee, T.-J. Eom, E. Choi, G. Mudhana, and C. Lee, “Novel optical delay line for optical coherence tomography system,” Opt. Rev. (to be published).
  7. W. W. Morey, J. R. Dunphy, and G. Meltz, Proc. SPIE 1586, 216 (1999).
    [CrossRef]
  8. R. Kashyap and M. de Lacerda Rocha, Opt. Commun. 153, 19 (1998).
    [CrossRef]

2000 (1)

1999 (1)

W. W. Morey, J. R. Dunphy, and G. Meltz, Proc. SPIE 1586, 216 (1999).
[CrossRef]

1998 (1)

R. Kashyap and M. de Lacerda Rocha, Opt. Commun. 153, 19 (1998).
[CrossRef]

1995 (2)

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

1987 (1)

Choi, E.

B. H. Lee, T.-J. Eom, E. Choi, G. Mudhana, and C. Lee, “Novel optical delay line for optical coherence tomography system,” Opt. Rev. (to be published).

de Lacerda Rocha, M.

R. Kashyap and M. de Lacerda Rocha, Opt. Commun. 153, 19 (1998).
[CrossRef]

Duker, J. S.

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

Dunphy, J. R.

W. W. Morey, J. R. Dunphy, and G. Meltz, Proc. SPIE 1586, 216 (1999).
[CrossRef]

Eom, T.-J.

B. H. Lee, T.-J. Eom, E. Choi, G. Mudhana, and C. Lee, “Novel optical delay line for optical coherence tomography system,” Opt. Rev. (to be published).

Feldchtein, F.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Fujimoto, J. G.

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

Gelikonov, G.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Gelikonov, V.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Gladkova, N.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Hee, M. R.

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

Huang, D.

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

Izatt, J. A.

S. Yazdanfar, A. M. Rollins, and J. A. Izatt, Opt. Lett. 25, 1448 (2000).
[CrossRef]

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

Kashyap, R.

R. Kashyap and M. de Lacerda Rocha, Opt. Commun. 153, 19 (1998).
[CrossRef]

Kuranov, R.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Lee, B. H.

B. H. Lee, T.-J. Eom, E. Choi, G. Mudhana, and C. Lee, “Novel optical delay line for optical coherence tomography system,” Opt. Rev. (to be published).

Lee, C.

B. H. Lee, T.-J. Eom, E. Choi, G. Mudhana, and C. Lee, “Novel optical delay line for optical coherence tomography system,” Opt. Rev. (to be published).

Lin, C. P.

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

Meltz, G.

W. W. Morey, J. R. Dunphy, and G. Meltz, Proc. SPIE 1586, 216 (1999).
[CrossRef]

Morey, W. W.

W. W. Morey, J. R. Dunphy, and G. Meltz, Proc. SPIE 1586, 216 (1999).
[CrossRef]

Mudhana, G.

B. H. Lee, T.-J. Eom, E. Choi, G. Mudhana, and C. Lee, “Novel optical delay line for optical coherence tomography system,” Opt. Rev. (to be published).

Nikulin, N.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Ouellette, F.

Petrova, G.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Pochinko, V.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Pravdenko, K.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Puliafito, C. A.

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

Reichel, E.

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

Rollins, A. M.

Schuman, J. S.

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

Sergeev, A.

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

Swanson, E. A.

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

Yazdanfar, S.

Arch. Ophthalmol. (Chicago) (1)

M. R. Hee, J. A. Izatt, E. A. Swanson, D. Huang, J. S. Schuman, C. P. Lin, C. A. Puliafito, and J. G. Fujimoto, Arch. Ophthalmol. (Chicago) 113, 325 (1995).
[CrossRef]

Ophthalmology (1)

C. A. Puliafito, M. R. Hee, C. P. Lin, E. Reichel, J. S. Schuman, J. S. Duker, J. A. Izatt, E. A. Swanson, and J. G. Fujimoto, Ophthalmology 102, 217 (1995).
[CrossRef] [PubMed]

Opt. Commun. (1)

R. Kashyap and M. de Lacerda Rocha, Opt. Commun. 153, 19 (1998).
[CrossRef]

Opt. Lett. (2)

Proc. SPIE (1)

W. W. Morey, J. R. Dunphy, and G. Meltz, Proc. SPIE 1586, 216 (1999).
[CrossRef]

Other (2)

B. H. Lee, T.-J. Eom, E. Choi, G. Mudhana, and C. Lee, “Novel optical delay line for optical coherence tomography system,” Opt. Rev. (to be published).

A. Sergeev, V. Gelikonov, G. Gelikonov, F. Feldchtein, K. Pravdenko, R. Kuranov, N. Gladkova, V. Pochinko, G. Petrova, and N. Nikulin, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), p. 349.

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Figures (3)

Fig. 1
Fig. 1

Interferometer topologies for dispersion-matched amplification of an optical delay by means of stretching FBGs. (a) Michelson interferometer configuration that is common to all topologies. (b) Reference arm configuration for delay amplification by use of a fiber coupler and a pair of FBGs. + and - denote FBG orientation. (c) Reference arm configuration in which a single FBG is employed to demonstrate the potential for near-perfect chromatic dispersion correction given identical oppositely oriented FBGs. (d) Reference arm configuration for delay amplification by use of optical circulators.

Fig. 2
Fig. 2

Plots of detected heterodyne signals for two of the experimental configurations shown in Figs. 1(b) and 1(c) on an expanded scale: (a) detected signal for the configuration in Fig. 1(b), (b) detected signal for the configuration in Fig. 1(c), (c) theoretical signal amplitude prediction.

Fig. 3
Fig. 3

Plot of the optical delay (ΔxS) induced by a physical stretch (δL) of one of the FBGs for the experimental configuration depicted in Fig. 1(b).

Equations (5)

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λ=2nΛl,
Λl1=Λ-+Λ+-Λ-l1L,
Λl2=Λ+1+δLL+Λ--Λ+l2L,
xRλ,δL=n1l1λ+n2l2λ=n0L+n01-peΛ+Λ+-Λ-δLΔxRδL=n01-peΛ+Λ+-Λ-δLn01-peλFBGΔλFBGδLfor λFBGΔλFBG,
IS,RΔxS=20SλBλReexp-i2kΔxS×expi2kΔxRδLdk2IRIScos2koΔxRδL-ΔxS×sinc2πΔλFBGλFBG2ΔxRδL-ΔxS=2IRIScos2kono1-pe×λFBGΔλFBGδL-ΔxSsinc2πΔλFBGλFBG2×no1-peλFBGΔλFBGδL-ΔxS,

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