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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 5 — May. 1, 2002
  • pp: 954–964

Modeling pulsed excitation for gas-phase laser diagnostics

Thomas B. Settersten and Mark A. Linne  »View Author Affiliations

JOSA B, Vol. 19, Issue 5, pp. 954-964 (2002)

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Excitation dynamics for pulsed optical excitation are described with the density-matrix equations and the rate equations for a two-level system. A critical comparison of the two descriptions is made with complete and consistent formalisms that are amenable to the modeling of applied laser-diagnostic techniques. General solutions, resulting from numerical integration of the differential equations describing the excitation process, are compared for collisional conditions that range from the completely coherent limit to the steady-state limit, for which the two formalisms are identical. This analysis demonstrates the failure of the rate equations to correctly describe the transient details of the excitation process outside the steady-state limit. However, reasonable estimates of the resultant population are obtained for nonsaturating (linear) excitation. This comparison provides the laser diagnostician with the means to evaluate the appropriate model for excitation through a simple picture of the breakdown of the rate-equation validity.

© 2002 Optical Society of America

OCIS Codes
(020.1670) Atomic and molecular physics : Coherent optical effects
(120.1740) Instrumentation, measurement, and metrology : Combustion diagnostics
(300.6210) Spectroscopy : Spectroscopy, atomic
(320.5390) Ultrafast optics : Picosecond phenomena

Thomas B. Settersten and Mark A. Linne, "Modeling pulsed excitation for gas-phase laser diagnostics," J. Opt. Soc. Am. B 19, 954-964 (2002)

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  1. J. W. Daily, “Use of rate equations to describe laser excitation in flames,” Appl. Opt. 16, 2322–2327 (1977). [CrossRef] [PubMed]
  2. F. Bloch, “Nuclear induction,” Phys. Rev. 70, 460–474 (1946). [CrossRef]
  3. R. P. Feynman, F. L. Vernon, Jr., and R. W. Hellwarth, “Geometrical representation of the Schrödinger equation for solving laser problems,” J. Appl. Phys. 28, 49–52 (1957). [CrossRef]
  4. M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, London, 1974).
  5. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
  6. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990), Vols. 1 and 2.
  7. F. Ossler and M. Aldén, “Measurements of picosecond laser induced fluorescence from gas phase 3-pentanone and acetone: implications to combustion diagnostics,” Appl. Phys. B 64, 493–502 (1997). [CrossRef]
  8. M. W. Renfro, S. D. Pack, G. B. King, and N. M. Laurendeau, “A pulse-pileup correction procedure for rapid measurements of hydroxyl concentrations using picosecond time-resolved laser-induced fluorescence,” Appl. Phys. B 69, 137–146 (1999). [CrossRef]
  9. A. Brockhinke, A. Bülter, J. C. Rolon, and K. Kohse-Höinghaus, “ps-LIF measurements of minor species concentration in a counterflow diffusion flame interacting with a vortex,” Appl. Phys. B 72, 491–496 (2001). [CrossRef]
  10. R. Kienle, M. P. Lee, and K. Kohse-Höinghaus, “A detailed rate equation model for the simulation of energy transfer in OH laser-induced fluorescence,” Appl. Phys. B 62, 583–599 (1996). [CrossRef]
  11. W. P. Partridge, Jr., and N. M. Laurendeau, “Formulation of a dimensionless overlap fraction to account for spectrally distributed interactions in fluorescence studies,” Appl. Opt. 34, 2645–2647 (1995). [CrossRef] [PubMed]
  12. R. N. Brancewell, The Fourier Transform and Its Applications 2nd ed. (McGraw-Hill, New York, 1986), pp. 112–113.
  13. G. J. Blanchard and M. J. Wirth, “Transform-limited behavior from a synchronously pumped cw dye laser,” Opt. Commun. 53, 394–400 (1985). [CrossRef]
  14. R. W. Boyd, Nonlinear Optics (Academic, San Diego, Calif., 1992), pp. 116–123, 192–199.
  15. T. A. Reichardt and R. P. Lucht, “Resonant degenerate four-wave mixing spectroscopy of transitions with degenerate energy levels: saturation and polarization effects,” J. Chem. Phys. 111, 10008–10020 (1999). [CrossRef]
  16. R. P. Lucht, R. Trebino, and L. A. Rahn, “Resonant multiwave mixing spectra of gas-phase sodium: nonperturbative calculations,” Phys. Rev. A 45, 8209–8227 (1992). [CrossRef] [PubMed]
  17. R. P. Lucht, R. L. Farrow, and D. J. Rakestraw, “Saturation effects in gas-phase degenerate four-wave mixing spectroscopy: nonperturbative calculations,” J. Opt. Soc. Am. B 10, 1508–1520 (1993). [CrossRef]
  18. I. I. Rabi, “Space quantization in a gyrating magnetic field,” Phys. Rev. 51, 652–654 (1937). [CrossRef]
  19. M. D. DiRosa and R. L. Farrow, “Cross sections of photoionization and ac Stark shift measured from Doppler-free B← X(0, 0) excitation spectra of CO,” J. Opt. Soc. Am. B 16, 861–870 (1999). [CrossRef]
  20. J. W. Daily, “Laser induced fluorescence spectroscopy in flames,” Prog. Energy Combust. Sci. 23, 133–199 (1997). [CrossRef]
  21. W. E. Lamb, Jr., and T. M. Sanders, Jr., “Fine structure of short-lived states of hydrogen by a microwave-optical method. I,” Phys. Rev. 119, 1901–1914 (1960). [CrossRef]
  22. R. M. Measures, Laser Remote Sensing: Fundamentals and Applications (Wiley, New York, 1992), pp. 85–91.
  23. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), pp. 150–153.
  24. S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183, 457–485 (1969). [CrossRef]

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