Abstract
Carrier-envelope phase stabilization1,2 has opened an avenue towards achieving frequency metrology with unprecedented precision3,4 and optical pulse generation on the previously inaccessible attosecond timescale5. Recently, sub-100-as pulse generation has been demonstrated6, approaching the timescale of the fastest transients in atomic physics. However, further progress in attophysics7 appears to be limited by the performance of the traditional feedback approach used for carrier-envelope phase stabilization8,9,10. Here, we demonstrate a conceptually different self-referenced feed-forward approach to phase stabilization. This approach requires no complicated locking electronics, does not compromise laser performance, and is demonstrated with 12-as residual timing jitter, which is below the atomic unit of time. This surpasses the precision of previous methods by more than a factor of five and has potential for resolving even the fastest transients in atomic or molecular physics. Such shot-noise-limited comb synthesis may also simplify progress in current research in frequency metrology11,12.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Integrated structured light architectures
Scientific Reports Open Access 12 January 2021
-
Electrically controllable laser frequency combs in graphene-fibre microresonators
Light: Science & Applications Open Access 09 November 2020
-
Comb-rooted multi-channel synthesis of ultra-narrow optical frequencies of few Hz linewidth
Scientific Reports Open Access 21 May 2019
Access options
Subscribe to this journal
Receive 12 print issues and online access
$209.00 per year
only $17.42 per issue
Rent or buy this article
Get just this article for as long as you need it
$39.95
Prices may be subject to local taxes which are calculated during checkout



References
Telle, H. R. et al. Carrier-envelope offset phase control: A novel concept for absolute optical frequency measurement and ultrashort pulse generation. Appl. Phys. B 69, 327–332 (1999).
Jones, D. J. et al. Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis. Science 288, 635–639 (2000).
Udem, T., Holzwarth, R. & Hänsch, T. W. Optical frequency metrology. Nature 416, 233–237 (2002).
Hänsch, T. W. Nobel Lecture: Passion for precision. Rev. Mod. Phys. 78, 1297–1309 (2006).
Baltuška, A. et al. Attosecond control of electronic processes by intense light fields. Nature 421, 611–615 (2003).
Goulielmakis, E. et al. Single-cycle nonlinear optics. Science 320, 1614–1617 (2008).
Bucksbaum, P. H. The future of attosecond spectroscopy. Science 317, 766–769 (2007).
Fortier, T. M., Jones, D. J., Ye, J., Cundiff, S. T. & Windeler, R. S. Long-term carrier-envelope phase coherence. Opt. Lett. 27, 1436–1438 (2002).
Witte, S., Zinkstok, R. T., Hogervorst, W. & Eikema, K. S. E. Control and precise measurement of carrier-envelope phase dynamics. Appl. Phys. B 78, 5–12 (2004).
Fuji, T. et al. Monolithic carrier-envelope phase-stabilization scheme. Opt. Lett. 30, 332–334 (2005).
Fischer, M. et al. New limits on the drift of fundamental constants from laboratory measurements. Phys. Rev. Lett. 92, 230802 (2004).
Yost, D. C. et al. Vacuum-ultraviolet frequency combs from below-threshold harmonics. Nature Phys. 5, 815–820 (2009).
Helbing, F. W. et al. Carrier-envelope offset dynamics of mode-locked lasers. Opt. Lett. 27, 194–196 (2002).
Poppe, A. et al. Few-cycle optical waveform synthesis. Appl. Phys. B 72, 373–376 (2001).
Matos, L., Mücke, O. D., Chen, J. & Kärtner, F. X. Carrier-envelope phase dynamics and noise analysis in octave-spanning Ti:sapphire lasers. Opt. Express 14, 2497–2511 (2006).
Baltuška, A., Fuji, T. & Kobayashi, T. Controlling the carrier-envelope phase of ultrashort light pulses with optical parametric amplifiers. Phys. Rev. Lett. 88, 133901 (2002).
Jones, R. J. & Diels, J. C. Stabilization of femtosecond lasers for optical frequency metrology and direct optical to radio frequency synthesis. Phys. Rev. Lett. 86, 3288–3291 (2001).
Hall, J. L. & Hänsch, T. W. External dye-laser frequency stabilizer. Opt. Lett. 9, 502–504 (1984).
Grebing, C., Koke, S., Manschwetus, B. & Steinmeyer, G. Performance comparison of interferometer topologies for carrier-envelope phase detection. Appl. Phys. B 95, 81–84 (2009).
Lee, Y. S., Sung, J., Nam, C., Yu, T. & Hong, K.-H. Novel method for carrier-envelope-phase stabilization of femtosecond laser pulses. Opt. Express 13, 2969–2976 (2005).
Sansone, G. et al. Isolated single-cycle attosecond pulses. Science 314, 443–446 (2006).
Acknowledgements
The authors gratefully acknowledge helpful suggestions from O. Smirnova (Max Born Institute, Berlin) and M. Ivanov (Imperial College, London). Thanks also go to the Deutsche Forschungsgemeinschaft for financial support (contract no. STE 762/5-1).
Author information
Authors and Affiliations
Contributions
S.K., C.G. and G.S. conceived the original concept of the feed-forward stabilization scheme. A.As. organized and supervised the oscillator project. A.An. built and characterized the oscillator. H.F. installed the oscillator. S.K., C.G. and H.F. conducted the experiments. S.K., C.G. and G.S. wrote the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Rights and permissions
About this article
Cite this article
Koke, S., Grebing, C., Frei, H. et al. Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise. Nature Photon 4, 462–465 (2010). https://doi.org/10.1038/nphoton.2010.91
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/nphoton.2010.91
This article is cited by
-
Broadband mid-infrared waveform generation
Nature Photonics (2022)
-
Integrated structured light architectures
Scientific Reports (2021)
-
Electrically controllable laser frequency combs in graphene-fibre microresonators
Light: Science & Applications (2020)
-
A fully stabilized low-phase-noise Kerr-lens mode-locked Yb:CYA laser frequency comb with an average power of 1.5 W
Applied Physics B (2020)
-
Comb-rooted multi-channel synthesis of ultra-narrow optical frequencies of few Hz linewidth
Scientific Reports (2019)