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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 6 — Jun. 1, 1999
  • pp: 1268–1276

New approach to determine the intensity and phase of ultrashort pulses by use of time-to-space conversion and a noniterative phase-retrieval algorithm

Nobuharu Nakajima and Yasuo Tomita  »View Author Affiliations


JOSA A, Vol. 16, Issue 6, pp. 1268-1276 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001268


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Abstract

We propose a novel scheme for directly determining the intensity and phase of ultrashort pulses. The technique involves time-to-space conversion of an input pulse by a diffraction grating, followed by the detection of its spectral intensity distributions in the Fourier transform plane with and without an exponential filter placed in front of the grating. By use of an efficient noniterative phase-retrieval algorithm, the spectral phase of the pulse is retrieved from these spectral intensities. The intensity and phase of the pulse in the temporal domain can be reconstructed by the inverse Fourier transformation of the retrieved spectral amplitude. Computer simulation results confirm that robust reconstructions of a linearly chirped pulse and a pulse with quadratic and cubic spectral phases are possible with high fidelity.

© 1999 Optical Society of America

OCIS Codes
(320.0320) Ultrafast optics : Ultrafast optics
(320.7100) Ultrafast optics : Ultrafast measurements
(320.7160) Ultrafast optics : Ultrafast technology

Citation
Nobuharu Nakajima and Yasuo Tomita, "New approach to determine the intensity and phase of ultrashort pulses by use of time-to-space conversion and a noniterative phase-retrieval algorithm," J. Opt. Soc. Am. A 16, 1268-1276 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-6-1268


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References

  1. R. L. Fork, C. H. Brito-Cruz, P. C. Becker, and C. V. Shank, “Compression of optical pulses to six femtoseconds by using cubic phase compensation,” Opt. Lett. 12, 483–485 (1987).
  2. H. P. Weber, “Method for pulse width measurement of ultrashort light pulses generated by phase-locked lasers using nonlinear optics,” J. Appl. Phys. 38, 2231–2234 (1967).
  3. A. M. Levine, E. Özizmir, R. Trebino, C. C. Hayden, A. M. Johnson, and K. L. Tokuda, “Induced-grating autocorrelation of ultrashort pulses in a slowly responding medium,” J. Opt. Soc. Am. B 11, 1609–1618 (1994), and references therein.
  4. Y. Tomita, M. Shibata, and J. Bergquist, “Pulsewidth dependence of time-resolved two-photon absorption with picosecond pump-probe excitation,” J. Appl. Phys. 71, 2102–2105 (1992).
  5. R. Trebino and D. J. Kane, “Using phase retrieval to measure the intensity and phase of ultrashort pulses: frequency-resolved optical gating,” J. Opt. Soc. Am. A 10, 1101–1111 (1993).
  6. D. J. Kane and R. Trebino, “Single-shot measurement of the intensity and phase of an arbitrary ultrashort pulse by using frequency-resolved optical gating,” Opt. Lett. 18, 823–825 (1993).
  7. A. Levi and H. Stark, “Restoration from phase and magnitude by generalized projections,” in Image Recovery: Theory and Applications, H. Stark, ed. (Academic, New York, 1987), pp. 277–320.
  8. N. Nakajima, “Phase retrieval from two intensity measurements using the Fourier series expansion,” J. Opt. Soc. Am. A 4, 154–158 (1987).
  9. N. Nakajima, “Phase retrieval using the logarithmic Hilbert transform and the Fourier-series expansion,” J. Opt. Soc. Am. A 5, 257–262 (1988).
  10. N. Nakajima, “Phase retrieval using the properties of entire functions,” in Advances in Imaging and Electron Physics, P. W. Hawkes, ed. (Academic, New York, 1995), Vol. 93, pp. 109–171.
  11. C. Froehly, B. Colombeau, and M. Vampouille, “Shaping and analysis of picosecond light pulses,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1983), Vol. XX, pp. 65–153.
  12. A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, “Programmable femtosecond pulse shaping by use of a multielement liquid-crystal phase modulator,” Opt. Lett. 15, 326–328 (1990).
  13. O. E. Martinez, “Grating and prism compressors in the case of finite beam size,” J. Opt. Soc. Am. B 3, 929–934 (1986).
  14. O. E. Martinez, “Pulse distortions in tilted pulse schemes for ultrashort pulses,” Opt. Commun. 59, 229–232 (1986).
  15. M. C. Nuss, M. Li, T. H. Chiu, A. M. Weiner, and A. Partovi, “Time-to-space mapping of femtosecond pulses,” Opt. Lett. 19, 664–666 (1994).
  16. P. C. Sun, Y. T. Mazurenko, and Y. Fainman, “Femtosecond pulse imaging: ultrafast optical oscilloscope,” J. Opt. Soc. Am. A 14, 1159–1170 (1997).
  17. K. W. DeLong, R. Trebino, J. Hunter, and W. E. White, “Frequency-resolved optical gating using second-harmonic generation,” J. Opt. Soc. Am. B 11, 2206–2215 (1994).
  18. R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
  19. In the noniterative phase-retrieval experiment for image reconstruction a photographic film was used as the exponential filter with the 1/e2 width of about 1.5 mm [see N. Nakajima, “Reconstruction of phase objects from experimental far field intensities by exponential filtering,” Appl. Opt. 29, 3369–3374 (1990)]. The 1/e2 width of ~0.4 mm can also be easily prepared by use of a holographic film or plate whose spatial resolution is on the order of thousands of lines per millimeters.
  20. A. M. Kan’an and A. M. Weiner, “Efficient time-to-space conversion of femtosecond optical pulses,” J. Opt. Soc. Am. B 15, 1242–1245 (1998).
  21. A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek, “Femtosecond spectral holography,” IEEE J. Quantum Electron. 28, 2251–2261 (1992).
  22. Note that the purpose of preparing two replicas of a test pulse in our system is merely to realize the temporal gating of the filtered test pulse in the Fourier plane at an appropriate delay, not to obtain the spectral interferogram.

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