Abstract

We demonstrated an optical frequency synthesizer based on a femtosecond (fs) mode-locked Ti:sapphire (Ti:s) laser by simultaneously stabilizing the carrier-offset frequency, <TEX>$f_{ceo}$</TEX>, and repetition rate, <TEX>$f_{ rep}$</TEX>, referenced to the Cs atomic frequency standard. By using two wide-band digital phase-detectors we realized a phase-coherent link between <TEX>$f_{rep} and f_{ceo} with the relation f_{ceo} = f_{AOM} 5/6f_{rep} ≡ 0, where f_{AOM} = 5/6f_{rep}$</TEX> is the phase-locked driving frequency of an acousto-optic modulator (AOM) in a self-referencing interferometer and <TEX>$f_{rep}$</TEX> = 100 MHz. As a result, we could stabilize all components of the fs laser comb at once with an equal frequency separation <TEX>$f_{rep}$</TEX> = 100 MHz with <TEX>$f_{ceo}$</TEX> = 0. In our optical frequency synthesizer, the frequency of the nth component (<TEX>$f_{n}$</TEX>) is given exactly by the simple relation <TEX>$f_n = nf_{rep}$</TEX>, enabling us to use the fs laser comb as a frequency ruler in the optical frequency metrology.

© 2003 Optical Society of Korea

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  1. T. Udem, J. Reichert, R. Holtzwarth, and T. W. Hansch, "Absolute optical frequency measurement of the cesium D1 line with a mode-locked laser," Phys. Rev. Lev., vol. 82, no. 18, pp. 3568-3571, 1999
    [CrossRef]
  2. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science, vol. 288, no. 28, pp. 635-639, 2000
    [CrossRef]
  3. S. A. Diddam, Th. Udem, K. R. Vogel, C. W. Oate, E. A. Curti, R. S. Windeler, A. Bartel, J. C. Bergquist, and L. Hollberg, "Compact femtosecond laser based optical clock work," Proc. SPIE, vol. 4269, pp. 77-83, 2001
    [CrossRef]
  4. J. Ye, T. H. Yoon, J. L. Hall, A. A. Madej, J. E. Bernard, K. J. Siemsen, L. Marmet, J. M. Chartier, and A. Chartier, "Accuracy comparison of absolute optical frequency measurement between harmonic-generation synthesis and a frequency-division femtosecond comb," Phys. Rev, Lev., vol. 85, no. 18, pp. 3797-3800, 2000
    [CrossRef]
  5. T. H. Yoon, J. Ye, J. L. Hall, and J. M. Chartier, "Absolute frequency measurement of the iodine-stabilized He-Ne laser at 633 nm," Appl. Phys. B., vol. 72, pp. 221-226, 2001
    [CrossRef]
  6. K. H. Hong, T. J. Yu, Y. S. Lee, and C. H. Nam, "Measurement of the shot-to-shot carrier-envelope phase slip of femtosecond laser pulses," J. Kor. Phys. Soc., vol. 42, no. 1, pp. 101-105, 2003
  7. S. T. Park, E. B. Kim, J. Y. Yeom, and T. H. Yoon, "Optical frequency synthesizer with femtosecond mode-locked laser with zero carrier-offset frequency," J. Kor. Phys. Soc., vol. 42, no. 5, pp. 622-626, 2003
  8. S. T. Cundiff, J. Ye, and J. L. Hall, "Optical frequency synthesis based on mode-locked lasers," Rev. Sci. Instrum., vol. 72, no. 10, pp. 3749-3771, 2001
    [CrossRef]

2003 (2)

K. H. Hong, T. J. Yu, Y. S. Lee, and C. H. Nam, "Measurement of the shot-to-shot carrier-envelope phase slip of femtosecond laser pulses," J. Kor. Phys. Soc., vol. 42, no. 1, pp. 101-105, 2003

S. T. Park, E. B. Kim, J. Y. Yeom, and T. H. Yoon, "Optical frequency synthesizer with femtosecond mode-locked laser with zero carrier-offset frequency," J. Kor. Phys. Soc., vol. 42, no. 5, pp. 622-626, 2003

2001 (3)

S. T. Cundiff, J. Ye, and J. L. Hall, "Optical frequency synthesis based on mode-locked lasers," Rev. Sci. Instrum., vol. 72, no. 10, pp. 3749-3771, 2001
[CrossRef]

T. H. Yoon, J. Ye, J. L. Hall, and J. M. Chartier, "Absolute frequency measurement of the iodine-stabilized He-Ne laser at 633 nm," Appl. Phys. B., vol. 72, pp. 221-226, 2001
[CrossRef]

S. A. Diddam, Th. Udem, K. R. Vogel, C. W. Oate, E. A. Curti, R. S. Windeler, A. Bartel, J. C. Bergquist, and L. Hollberg, "Compact femtosecond laser based optical clock work," Proc. SPIE, vol. 4269, pp. 77-83, 2001
[CrossRef]

2000 (2)

J. Ye, T. H. Yoon, J. L. Hall, A. A. Madej, J. E. Bernard, K. J. Siemsen, L. Marmet, J. M. Chartier, and A. Chartier, "Accuracy comparison of absolute optical frequency measurement between harmonic-generation synthesis and a frequency-division femtosecond comb," Phys. Rev, Lev., vol. 85, no. 18, pp. 3797-3800, 2000
[CrossRef]

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science, vol. 288, no. 28, pp. 635-639, 2000
[CrossRef]

1999 (1)

T. Udem, J. Reichert, R. Holtzwarth, and T. W. Hansch, "Absolute optical frequency measurement of the cesium D1 line with a mode-locked laser," Phys. Rev. Lev., vol. 82, no. 18, pp. 3568-3571, 1999
[CrossRef]

Applied Physics B: Lasers and Optics (1)

T. H. Yoon, J. Ye, J. L. Hall, and J. M. Chartier, "Absolute frequency measurement of the iodine-stabilized He-Ne laser at 633 nm," Appl. Phys. B., vol. 72, pp. 221-226, 2001
[CrossRef]

J. Kor. Phys. Soc. (2)

K. H. Hong, T. J. Yu, Y. S. Lee, and C. H. Nam, "Measurement of the shot-to-shot carrier-envelope phase slip of femtosecond laser pulses," J. Kor. Phys. Soc., vol. 42, no. 1, pp. 101-105, 2003

S. T. Park, E. B. Kim, J. Y. Yeom, and T. H. Yoon, "Optical frequency synthesizer with femtosecond mode-locked laser with zero carrier-offset frequency," J. Kor. Phys. Soc., vol. 42, no. 5, pp. 622-626, 2003

Phys. Rev. Lett. (1)

T. Udem, J. Reichert, R. Holtzwarth, and T. W. Hansch, "Absolute optical frequency measurement of the cesium D1 line with a mode-locked laser," Phys. Rev. Lev., vol. 82, no. 18, pp. 3568-3571, 1999
[CrossRef]

Physical Review Letters (1)

J. Ye, T. H. Yoon, J. L. Hall, A. A. Madej, J. E. Bernard, K. J. Siemsen, L. Marmet, J. M. Chartier, and A. Chartier, "Accuracy comparison of absolute optical frequency measurement between harmonic-generation synthesis and a frequency-division femtosecond comb," Phys. Rev, Lev., vol. 85, no. 18, pp. 3797-3800, 2000
[CrossRef]

Proc. SPIE (1)

S. A. Diddam, Th. Udem, K. R. Vogel, C. W. Oate, E. A. Curti, R. S. Windeler, A. Bartel, J. C. Bergquist, and L. Hollberg, "Compact femtosecond laser based optical clock work," Proc. SPIE, vol. 4269, pp. 77-83, 2001
[CrossRef]

Rev. Sci. Instrum. (1)

S. T. Cundiff, J. Ye, and J. L. Hall, "Optical frequency synthesis based on mode-locked lasers," Rev. Sci. Instrum., vol. 72, no. 10, pp. 3749-3771, 2001
[CrossRef]

Science (1)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science, vol. 288, no. 28, pp. 635-639, 2000
[CrossRef]

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