Skip to main content

Abstract

No, this isn’t one of those age-old unresolvable dilemmas, the kind that frustrated ancient Greek philosophers. True, it’s reminiscent of Zeno’s paradox, which considered how finely one may divide distances, rather than durations of time. And it’s equally confounding. But, in fact, the above dilemma is a recently solved optical measurement problem, which, until a few years ago, badly frustrated modern laser scientists.

In order to measure an event in time, you must use a shorter one. But then, to measure the shorter event, you must use an even shorter one. And so on. So, now, how do you measure the shortest event ever created?

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. Kohler, V. V. Yakovlev, J. Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Y. Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett., vol. 74, pp. 3360–63,1995.

    Article  ADS  Google Scholar 

  2. J. C. M. Diels, J. J. Fontaine, I. C. McMichael, and F. Simoni, “Control and Measurement of Ultrashort Pulse Shapes (in Amplitude and Phase) with Femtosecond Accuracy,” Appl. Opt., vol. 24, pp. 1270–82, 1985.

    Article  ADS  Google Scholar 

  3. M. Beck and I. A. Walmsley, “The Role of Amplitude and Phase Shaping in the Dispersive-Pulse Regime of a Passively Mode-Locked Dye Laser,” J. Quant. Electron., vol. 28, pp. 2274–84,1992.

    Article  ADS  Google Scholar 

  4. I. P. Christov, M. M. Murnane, H. C. Kapteyn, J. P. Zhou, and C. P. Huang, “Fourth-Order Dispersion Limited Solitary Pulses,” Opt. Lett., vol. 19, pp. 1465–67,1994.

    Article  ADS  Google Scholar 

  5. J. D. Harvey, J. M. Dudley, P. F. Curley, C. Spielmann, and F. Krausz, “Coherent Effects in a Self-Modelocked Ti:sapphire Laser,” Opt. Lett., vol. 19, pp. 972,1994.

    Article  ADS  Google Scholar 

  6. P. Zhou, H. Schulz, and P. Kohns, “Atomic spectroscopy with ultrashort laser pulses using frequency-resolved optical gating,” Opt. Comm., vol. 123, pp. 501–4, 1996.

    Article  ADS  Google Scholar 

  7. T. S. Clement, G. Rodriguez, W. M. Wood, and A. J. Taylor, “Characterization of ultrafast interactions with materials through direct measurement of the optical phase,” in Generation, Amplification, and Measurement of Ultrashort Laser Pulses III, vol. 2701: SPIE, 1996, pp. 229–34.

    Google Scholar 

  8. M. Dugan, J. X. Tull, J.-K. Rhee, and W. S. Warren, “High-Resolution Ultrafast Laser Pulse Shaping for Quantum Control and Terabit per Second Communications,” in Ultrafast Phenomena X, vol. 62, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, Eds. Berlin: Springer-Verlag, 1996, pp. 26–27.

    Chapter  Google Scholar 

  9. A. M. Weiner, “Femtosecond Optical Pulse Shaping and Processing,” Progress in Quantum Electronics, 1995.

    Google Scholar 

  10. E. P. Ippen and C. V. Shank, Ultrashort Light Pulses—Picosecond Techniques and Applications. Berlin: Springer-Verlag, 1977.

    Google Scholar 

  11. L. Cohen, “Time-Frequency Distributions—A Review,” Proc. IEEE, vol. 77, pp. 941–81, 1989.

    Article  ADS  Google Scholar 

  12. Y. M. Bruck and L. G. Sodin, “On the Ambiguity of the Image Reconstruction Problem,” Opt. Commun., vol. 30, pp. 304–8,1979.

    Article  ADS  Google Scholar 

  13. A. Watanabe, S. Tanaka, H. Kobayashi, Y. Ishida, and T. Yajima, “Microcomputer-Based Spectrum-Resolved Second Harmonic Generation Correlator for Fast Measurement of Ultrashort Pulses,” Rev. Sci. Instrum., vol. 56, pp. 2259–62, 1985.

    Article  ADS  Google Scholar 

  14. A. Watanabe, H. Saito, Y. Ishida, and T. Yajima, “Computer-Assisted Spectrum-Resolved SHG Auto-correlator for Monitoring Phase Characteristics of Femtosecond Pulses,” Opt. Commun., vol. 63, pp. 320–4,1987.

    Article  ADS  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media New York

About this chapter

Cite this chapter

Trebino, R. (2000). The Dilemma. In: Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1181-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-1181-6_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5432-1

  • Online ISBN: 978-1-4615-1181-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics