Abstract

We demonstrate that femtosecond laser frequency combs (FLFCs) can have a subhertz linewidth across their entire emission spectra when they are phase locked to a reference laser with a similarly narrow linewidth. Correspondingly, the coherence time of the comb components relative to the reference laser can be of the order of a few seconds. Thus we are able to detect high-contrast spectral interferograms at up to 10-s integration time between two FLFCs locked to a common optical reference.

© 2004 Optical Society of America

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    [CrossRef] [PubMed]
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2003 (3)

Y. Kobayashi, T. Torizuka, and Z. Wei, Opt. Lett. 28, 746 (2003).
[CrossRef] [PubMed]

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

A. Bartels, S. A. Diddams, T. M. Ramond, and J. Hollberg, Opt. Lett. 28, 663 (2003).
[CrossRef] [PubMed]

2002 (3)

2001 (1)

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

2000 (2)

J. Ye, J. L. Hall, and S. A. Diddams, Opt. Lett. 25, 1675 (2000).
[CrossRef]

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

1999 (1)

B. C. Young, F. C. Cruz, J. C. Bergquist, and W. M. Itano, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

1995 (1)

1988 (1)

Bartels, A.

Beall, J. A.

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

Bergquist, J. C.

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

B. C. Young, F. C. Cruz, J. C. Bergquist, and W. M. Itano, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

Bize, S.

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

Cheriaux, G.

Cruz, F. C.

B. C. Young, F. C. Cruz, J. C. Bergquist, and W. M. Itano, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

Curtis, E. A.

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

Diddams, S. A.

Hall, J. L.

Hils, D.

Hollberg, J.

Hollberg, L.

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

T. M. Ramond, S. A. Diddams, L. Hollberg, and A. Bartels, Opt. Lett. 27, 1842 (2002).
[CrossRef]

S. A. Diddams, L. Hollberg, L.-S. Ma, and L. Robertsson, Opt. Lett. 27, 58 (2002).
[CrossRef]

Itano, W. M.

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

B. C. Young, F. C. Cruz, J. C. Bergquist, and W. M. Itano, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

Joffre, M.

Kapteyn, H. C.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

Kobayashi, Y.

Kurz, H.

Lepetit, L.

Ma, L.-S.

S. A. Diddams, L. Hollberg, L.-S. Ma, and L. Robertsson, Opt. Lett. 27, 58 (2002).
[CrossRef]

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

Murnane, M. M.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

Oates, C. W.

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

Rafac, R. J.

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

Ramond, T. M.

A. Bartels, S. A. Diddams, T. M. Ramond, and J. Hollberg, Opt. Lett. 28, 663 (2003).
[CrossRef] [PubMed]

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

T. M. Ramond, S. A. Diddams, L. Hollberg, and A. Bartels, Opt. Lett. 27, 1842 (2002).
[CrossRef]

Robertsson, L.

Salomon, Ch.

Shelton, R. K.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

Torizuka, T.

Wei, Z.

Wineland, D. J.

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

Ye, J.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

J. Ye, J. L. Hall, and S. A. Diddams, Opt. Lett. 25, 1675 (2000).
[CrossRef]

Young, B. C.

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

B. C. Young, F. C. Cruz, J. C. Bergquist, and W. M. Itano, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, S. Bize, E. A. Curtis, J. C. Bergquist, and L. Hollberg, IEEE J. Sel. Top. Quantum Electron. 9, 1072 (2003).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Lett. (6)

Phys. Rev. Lett. (2)

B. C. Young, F. C. Cruz, J. C. Bergquist, and W. M. Itano, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

R. J. Rafac, B. C. Young, J. A. Beall, W. M. Itano, D. J. Wineland, and J. C. Bergquist, Phys. Rev. Lett. 85, 2463 (2000).
[CrossRef]

Science (1)

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Heterodyne beat measured around 900 nm between the two FLFCs with Δf0=101 MHz. (a) Measurement with a RF spectrum analyzer at 1-kHz RBW. Inset, measurement with 1-Hz RBW. (b) Measurement of the beat mixed to 10 Hz with a fast Fourier transform spectrum analyzer at 30-mHz RBW (inset, with 3-mHz RBW, linear scale). The fraction of overall power contained in the central peaks is indicated.

Fig. 2
Fig. 2

Left-hand axis, phase-noise power spectral density of the Δf0 beat, equivalent to the phase noise of the optical frequency comb components around 900 nm (333 THz). Right-hand axis, integrated phase noise.

Fig. 3
Fig. 3

SIs (solid black curves) between NIST-BB1 and NIST-BB2, the individual laser spectra (solid gray curves), and theoretical SIs calculated from the individual spectra (dashed curves): (a) using the infrared output of the FLFCs and Tint.=1 s, (b) same as (a) with Tint.=10 s, (c) using the visible output and Tint.=1 s. The pulse spacing τ and the experimental and theoretical contrast are also indicated.

Equations (2)

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Iω=I1ω+I2ω+2CI1ωI2ω1/2×cosωτ+α,
Cth.ω=sinϕint.Tint.-1,ωϕint.Tint.-1,ωsinπRτπRτ.

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