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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 9, Iss. 8 — Aug. 1, 1992
  • pp: 1209–1214

Phase retrieval approach for coherent anti-Stokes Raman scattering spectrum analysis

Erik M. Vartiainen  »View Author Affiliations

JOSA B, Vol. 9, Issue 8, pp. 1209-1214 (1992)

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A noniterative phase retrieval method for coherent anti-Stokes Raman scattering spectrum analysis is presented. This method facilitates the computation of the real and imaginary parts of the effective third-order susceptibility X when only its modulus is known. One obtains this result by approximating the squared modulus |X|2 by the maximum entropy model and using some a priori information on X.

© 1992 Optical Society of America

Erik M. Vartiainen, "Phase retrieval approach for coherent anti-Stokes Raman scattering spectrum analysis," J. Opt. Soc. Am. B 9, 1209-1214 (1992)

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  1. M. D. Levenson, Introduction to Nonlinear Laser Spectroscopy (Academic, New York, 1982).
  2. S. A. J. Druet and J.-P. E. Taran, "CARS spectroscopy," Prog. Quantum Electron 7, 1–72 (1981).
  3. R. J. Hall and A. C. Eckbreth, "Coherent anti-Stokes Raman spectroscopy (CARS): application to combustion diagnostics," in Laser Applications, J. F. Ready and R. K. Erf, eds. (Academic, Orlando, Fla., 1984), Vol. 5, pp. 213–309.
  4. H. Kataoka, S. Maeda, and C. Hirose, "Effects of laser linewidth on the CARS profile," Appl. Spectrosc. 36, 565–569 (1982).
  5. R. E. Teets, "Accurate convolutions of CARS spectra," Opt. Lett. 9, 226–229 (1984).
  6. L. A. Rahn, R. L. Farrow, and R. P. Lucht, "Effects of field statistics on CARS intensities," Opt. Lett. 9, 223–225 (1984).
  7. R. L. Farrow and L. A. Rahn, "Interpreting coherent anti-Stokes Raman spectra measured with multimode Nd:YAG pump lasers," J. Opt. Soc. Am. B 2, 903–907 (1985).
  8. J. W. Fleming and C. S. Johnson, Jr., "A practical analysis for coherent anti-Stokes Raman scattering (CARS) spectra," J. Raman Spectrosc. 8, 284–290 (1979).
  9. E. M. Vartiainen, K.-E. Peiponen, and T. Tsuboi, "Analysis of coherent Raman spectra," J. Opt. Soc. Am. B 7, 722–725(1990).
  10. E. Wolf, "Is a complete determination of the energy spectrum of light possible from measurement of the degree of coherence?" Proc. Phys. Soc. London 80, 1269–1272 (1962).
  11. A. Walther, "The question of phase retrieval in optics," Opt. Acta 10, 41–49 (1963).
  12. R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237–246 (1972).
  13. R. A. Gonsalves, "Phase retrieval from modulus data," J. Opt. Soc. Am. 66, 961–964 (1976).
  14. J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt. 21, 2758–2769 (1982).
  15. J. R. Fienup, "Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint," J. Opt. Soc. Am. A 4, 118–123 (1987).
  16. S. Haykin and S. Kesler, "Prediction-error filtering and maximum entropy spectral estimation," in Nonlinear Methods of Spectral Analysis, 2nd ed., S. Haykin, ed. (Springer-Verlag, Berlin, 1983), pp. 9–72.
  17. J. Laane and W. Kiefer, "Interference effects in the high resolution CARS spectra of gases," J. Raman Spectrosc. 9, 353–360 (1980).
  18. J. K. Kauppinen, D. J. Moffatt, H. H. Mantsch, and D. G. Cameron, "Fourier self-deconvolution: a method for resolving intrinsically overlapped bands," Appl. Spectrosc. 35, 271–276 (1981).
  19. J. K. Kauppinen, D. J. Moffatt, M. R. Hollberg, and H. H. Mantsch, "A new line-narrowing method based on Fourier self-deconvolution, maximum entropy, and linear prediction," Appl. Spectrosc. 45, 411–416 (1991).
  20. G. L. Eesley, M. D. Levenson, and W. M. Tolles, "Optically heterodyned coherent Raman spectroscopy," IEEE J. Quantum Electron. QE-14, 45–49 (1978).
  21. A. Owyoung, "Coherent Raman gain spectroscopy using cw laser sources," IEEE J. Quantum Electron. QE-14, 192–203 (1978).
  22. A. Owyoung, "High-resolution cw stimulated Raman spectroscopy in molecular hydrogen," Opt. Lett. 2, 91–93 (1978).
  23. S. A. Akhmanov, A. F. Bunkin, S. G. Ivanov, and N. I. Koroteev, "Coherent ellipsometry of Raman scattering of light," JETP Lett. 25, 416–421 (1977).
  24. J.-L. Oudar, R. W. Smith, and Y. R. Shen, "Polarizationsensitive coherent anti-Stokes Raman spectroscopy," Appl. Phys. Lett. 34, 758–760 (1979).
  25. L. A. Rahn, L. J. Zych, and P. L. Mattern, "Background-free CARS studies of carbon monoxide in a flame," Opt. Commun. 30, 249–252 (1979).

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