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Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise

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.

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Figure 1: Concept of the direct feed-forward method for stabilization of CEP.
Figure 2: Experimental set-up used to characterize CEP stabilization performance.
Figure 3: Residual CEP noise.
Figure 4: Comparison of demonstrated attosecond pulse duration5,6,21 and timing control.

References

  1. 1

    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).

    ADS  Article  Google Scholar 

  2. 2

    Jones, D. J. et al. Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis. Science 288, 635–639 (2000).

    ADS  Article  Google Scholar 

  3. 3

    Udem, T., Holzwarth, R. & Hänsch, T. W. Optical frequency metrology. Nature 416, 233–237 (2002).

    ADS  Article  Google Scholar 

  4. 4

    Hänsch, T. W. Nobel Lecture: Passion for precision. Rev. Mod. Phys. 78, 1297–1309 (2006).

    ADS  Article  Google Scholar 

  5. 5

    Baltuška, A. et al. Attosecond control of electronic processes by intense light fields. Nature 421, 611–615 (2003).

    ADS  Article  Google Scholar 

  6. 6

    Goulielmakis, E. et al. Single-cycle nonlinear optics. Science 320, 1614–1617 (2008).

    ADS  Article  Google Scholar 

  7. 7

    Bucksbaum, P. H. The future of attosecond spectroscopy. Science 317, 766–769 (2007).

    ADS  Article  Google Scholar 

  8. 8

    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).

    ADS  Article  Google Scholar 

  9. 9

    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).

    ADS  Article  Google Scholar 

  10. 10

    Fuji, T. et al. Monolithic carrier-envelope phase-stabilization scheme. Opt. Lett. 30, 332–334 (2005).

    ADS  Article  Google Scholar 

  11. 11

    Fischer, M. et al. New limits on the drift of fundamental constants from laboratory measurements. Phys. Rev. Lett. 92, 230802 (2004).

    ADS  Article  Google Scholar 

  12. 12

    Yost, D. C. et al. Vacuum-ultraviolet frequency combs from below-threshold harmonics. Nature Phys. 5, 815–820 (2009).

    ADS  Article  Google Scholar 

  13. 13

    Helbing, F. W. et al. Carrier-envelope offset dynamics of mode-locked lasers. Opt. Lett. 27, 194–196 (2002).

    ADS  Article  Google Scholar 

  14. 14

    Poppe, A. et al. Few-cycle optical waveform synthesis. Appl. Phys. B 72, 373–376 (2001).

    ADS  Article  Google Scholar 

  15. 15

    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).

    ADS  Article  Google Scholar 

  16. 16

    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).

    ADS  Article  Google Scholar 

  17. 17

    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).

    ADS  Article  Google Scholar 

  18. 18

    Hall, J. L. & Hänsch, T. W. External dye-laser frequency stabilizer. Opt. Lett. 9, 502–504 (1984).

    ADS  Article  Google Scholar 

  19. 19

    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).

    ADS  Article  Google Scholar 

  20. 20

    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).

    ADS  Article  Google Scholar 

  21. 21

    Sansone, G. et al. Isolated single-cycle attosecond pulses. Science 314, 443–446 (2006).

    ADS  Article  Google Scholar 

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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).

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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

Correspondence to Günter Steinmeyer.

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The authors declare no competing financial interests.

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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

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