OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • 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)
http://dx.doi.org/10.1364/JOSAB.9.001209


View Full Text Article

Enhanced HTML    Acrobat PDF (711 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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 χ when only its modulus is known. One obtains this result by approximating the squared modulus |χ|2 by the maximum entropy model and using some a priori information on χ.

© 1992 Optical Society of America

History
Original Manuscript: September 5, 1991
Revised Manuscript: January 3, 1992
Published: August 1, 1992

Citation
Erik M. Vartiainen, "Phase retrieval approach for coherent anti-Stokes Raman scattering spectrum analysis," J. Opt. Soc. Am. B 9, 1209-1214 (1992)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-9-8-1209


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. D. Levenson, Introduction to Nonlinear Laser Spectroscopy (Academic, New York, 1982).
  2. S. A. J. Druet, J.-P. E. Taran, “CARS spectroscopy,” Prog. Quantum Electron 7, 1–72 (1981). [CrossRef]
  3. R. J. Hall, A. C. Eckbreth, “Coherent anti-Stokes Raman spectroscopy (CARS): application to combustion diagnostics,” in Laser Applications, J. E. Ready, R. K. Erf, eds. Academic, Orlando, Fla., 1984), Vol. 5, pp. 213–309.
  4. H. Kataoka, S. Maeda, C. Hirose, “Effects of laser line-width on the CARS profile,” Appl. Spectrosc. 36, 565–569 (1982). [CrossRef]
  5. R. E. Teets, “Accurate convolutions of CARS spectra,” Opt. Lett. 9, 226–229 (1984). [CrossRef] [PubMed]
  6. L. A. Rahn, R. L. Farrow, R. P. Lucht, “Effects of field statistics on CARS intensities,” Opt. Lett. 9, 223–225 (1984). [CrossRef] [PubMed]
  7. R. L. Farrow, 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). [CrossRef]
  8. J. W. Fleming, C. S. Johnson, “A practical analysis for coherent anti-Stokes Raman scattering (CARS) spectra,” J. Raman Spectrosc. 8, 284–290 (1979). [CrossRef]
  9. E. M. Vartiainen, K.-E. Peiponen, T. Tsuboi, “Analysis of coherent Raman spectra,” J. Opt. Soc. Am. B 7, 722–725 (1990). [CrossRef]
  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). [CrossRef]
  11. A. Walther, “The question of phase retrieval in optics,” Opt. Acta 10, 41–49 (1963). [CrossRef]
  12. R. W. Gerchberg, 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). [CrossRef]
  14. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982). [CrossRef] [PubMed]
  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). [CrossRef]
  16. S. Haykin, 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, W. Kiefer, “Interference effects in the high resolution CARS spectra of gases,” J. Raman Spectrosc. 9, 353–360 (1980). [CrossRef]
  18. J. K. Kauppinen, D. J. Moffatt, H. H. Mantsch, D. G. Cameron, “Fourier self-deconvolution: a method for resolving intrinsically overlapped bands,” Appl. Spectrosc. 35, 271–276 (1981). [CrossRef]
  19. J. K. Kauppinen, D. J. Moffatt, M. R. Hollberg, H. H. Mantsch, “A new line-narrowing method based on Fourier self-deconvolution, maximum entropy, and linear prediction,” Appl. Spectrosc. 45, 411–416 (1991). [CrossRef]
  20. G. L. Eesley, M. D. Levenson, W. M. Tolles, “Optically heterodyned coherent Raman spectroscopy,” IEEE J. Quantum Electron. QE-14, 45–49 (1978). [CrossRef]
  21. A. Owyoung, “Coherent Raman gain spectroscopy using cw laser sources,” IEEE J. Quantum Electron. QE-14, 192–203 (1978). [CrossRef]
  22. A. Owyoung, “High-resolution cw stimulated Raman spectroscopy in molecular hydrogen,” Opt. Lett. 2, 91–93 (1978). [CrossRef] [PubMed]
  23. S. A. Akhmanov, A. F. Bunkin, S. G. Ivanov, N. I. Koroteev, “Coherent ellipsometry of Raman scattering of light,” JETP Lett. 25, 416–421 (1977).
  24. J.-L. Oudar, R. W. Smith, Y. R. Shen, “Polarization-sensitive coherent anti-Stokes Raman spectroscopy,” Appl. Phys. Lett. 34, 758–760 (1979). [CrossRef]
  25. L. A. Rahn, L. J. Zych, P. L. Mattern, “Background-free CARS studies of carbon monoxide in a flame,” Opt. Commun. 30, 249–252 (1979). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited