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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 2 — Feb. 1, 1998
  • pp: 505–514

Noisy-light correlation functions by frequency resolved optical gating

Michael J. Stimson, Darin J. Ulness, Jason C. Kirkwood, Gregory S. Boutis, and A. C. Albrecht  »View Author Affiliations


JOSA B, Vol. 15, Issue 2, pp. 505-514 (1998)
http://dx.doi.org/10.1364/JOSAB.15.000505


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Abstract

A new technique for measuring the time- and frequency-dependent intensities and phases of correlation functions of broadband, non–transform-limited (noisy) light is presented. It is based on others’ successful previous efforts to measure the intensities and phases of short pulses by frequency-resolved optical gating. It is shown that a simplified algorithm based on the original algorithm for frequency-resolved optical gating is sufficient for the recovery of correlation functions. The first experimental realizations of this technique are presented, and the recovered noisy-light correlation functions are shown. By way of illustration, the dispersion of water is quantified. Applications to interferometrically time-resolved nonlinear optical spectroscopies are discussed.

© 1998 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.1590) Ultrafast optics : Chirping

Citation
Michael J. Stimson, Darin J. Ulness, Jason C. Kirkwood, Gregory S. Boutis, and A. C. Albrecht, "Noisy-light correlation functions by frequency resolved optical gating," J. Opt. Soc. Am. B 15, 505-514 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-2-505


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References

  1. D. J. Kane and R. Trebino, “Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating,” IEEE J. Quantum Electron. 29, 571–579 (1993).
  2. 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).
  3. B. Kohler, V. V. Yakovlev, K. R. Wilson, J. Squier, K. W. DeLong, and R. Trebino, “Phase and intensity characterization of femtosecond pulses from a chirped-pulse amplifier by frequency-resolved optical gating,” Opt. Lett. 20, 483–485 (1995).
  4. G. Taft, A. Rundquist, M. M. Murnane, H. C. Kapteyn, K. W. DeLong, R. Trebino, and I. P. Christov, “Ultrashort optical waveform measurements using frequency-resolved optical gating,” Opt. Lett. 20, 743–745 (1995).
  5. A. Sullivan, W. E. White, K. C. Chu, J. P. Heritage, K. W. DeLong, and R. Trebino, “Quantitative investigation of optical phase-measuring techniques for ultrashort pulse lasers,” J. Opt. Soc. Am. B 13, 1965–1978 (1996).
  6. 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).
  7. K. W. DeLong, C. L. Ladera, R. Trebino, B. Kohler, and K. Wilson, “Ultrashort-pulse measurement using noninstantaneous nonlinearities: Raman effects in frequency-resolved optical gating,” Opt. Lett. 20, 486–488 (1995).
  8. K. W. DeLong, R. Trebino, and W. E. White, “Simultaneous recovery of two ultrashort laser pulses from a single spectrogram,” J. Opt. Soc. Am. B 12, 2463–2466 (1995).
  9. E. Yudilevich, A. Levi, G. J. Habetler, and H. Stark, “Restoration of signals from their signed Fourier-transform magnitude by the method of generalized projections,” J. Opt. Soc. Am. A 4, 236–246 (1987).
  10. The I stands for interferometric and the superscript (2) indicates the participation of two correlated incoherent fields in the creation of the signal field.
  11. K. W. DeLong, R. Trebino, and D. J. Kane, “A comparison of ultrashort-pulse frequency-resolved-optical-gating traces for three common beam geometries,” J. Opt. Soc. Am. B 11, 1595–1608 (1994).
  12. The term monochromatic is used to mean several orders of magnitude narrower than the broadband fields.
  13. R. Loudon, The Quantum Theory of Light, 2nd. ed. (Oxford University, New York, 1990).
  14. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, New York, 1995).
  15. M. J. Stimson, D. J. Ulness, and A. C. Albrecht, “Frequency and time resolved coherent Stokes Raman scattering from CS2 using incoherent light,” Chem. Phys. Lett. 263, 185–190 (1996).
  16. M. J. Stimson, D. J. Ulness, and A. C. Albrecht, “Time resolved coherent Raman spectroscopy controlled by spectrally tailored noisy light,” J. Raman Spectrosc. 28, 579–587 (1997).
  17. M. J. Stimson, D. J. Ulness, and A. C. Albrecht, “Frequency resolved interferometric coherent Raman spectroscopy with incoherent light: Raman frequency shifts, dephasing rate constants, and nonresonant hyperpolarizabilities of mixtures of benzene in hexane,” Chem. Phys. 222, 17–28 (1997).
  18. D. J. Ulness, M. J. Stimson, J. C. Kirkwood, and A. C. Albrecht, “Interferometric downconversion of high frequency molecular vibrations with time-frequency resolved coherent Raman scattering using quasi-cw noisy light: C-H stretching modes of chloroform and benzene,” J. Phys. Chem. 101, 4587–4591 (1997).
  19. D. J. Ulness, J. C. Kirkwood, M. J. Stimson, and A. C. Albrecht, “Theory of coherent Raman scattering with quasi-cw noisy light for a general lineshape function,” J. Chem. Phys. 107, 7127–7137 (1997).
  20. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University, New York, 1995).
  21. E. Hanamura, “Coherent and incoherent laser spectroscopy of spatial and temporal fluctuations,” Solid State Commun. 51, 697–700 (1984).
  22. S. Mukamel and E. Hanamura, “Four-wave mixing using partially coherent fields in systems with spatial correlations,” Phys. Rev. A 33, 1099–1108 (1986).
  23. M. A. Dugan and A. C. Albrecht, “Radiation-matter oscillations and spectral line narrowing in field-correlated four-wave mixing. I. Theory,” Phys. Rev. A 43, 3877–3921 (1991).
  24. D. J. Ulness and A. C. Albrecht, “Four-wave mixing in a Bloch two-level system with incoherent laser light having a Lorentzian spectral density: analytic solution and a diagrammatic approach,” Phys. Rev. A 53, 1081–1095 (1996).
  25. K. W. DeLong, D. N. Fittinghoff, R. Trebino, B. Kohler, and K. Wilson, “Pulse retrieval in frequency-resolved optical gating using the method of generalized projections,” Opt. Lett. 19, 2152–2154 (1994).
  26. K. W. DeLong and R. Trebino, “Improved ultrashort-pulse retrieval algorithm for frequency-resolved optical gating,” J. Opt. Soc. Am. A 11, 2429–2437 (1994).
  27. D. N. Fittinghoff, K. W. DeLong, R. Trebino, and C. L. Ladera, “Noise sensitivity in frequency-resolved optical-gating measurements of ultrashort pulses,” J. Opt. Soc. Am. B 12, 1955–1967 (1995).
  28. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge University, New York, 1990).
  29. I. Thormählen, J. Straub, and U. Grigull, “Refractive index of water and its dependence on wavelength, temperature, and density,” J. Phys. Chem. Ref. Data 14, 933–945 (1985).

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