Experimental investigation of saturated degenerate four-wave mixing for quantitative concentration measurements

Applied Optics

Volumn 38, Issue 33, 1999, Pages 6951-6961

  Reichardt, Thomas A ^a   Giancola, William C ^a   Shappert, Christopher M ^b   Lucht, Robert P ^c  

^a University of Illinois at Urbana Champaign   (United States)

^b NOKIA RESEARCH CENTER   (United States)

^c Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000154012     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.38.006951     Document Type: Article

References (58)

1. K. Kohse-Hoinghaus, “Laser techniques for the quantitative detection of reactive intermediates in combustion systems,” Prog. Energy Combust. Sci. 20, 203-279 (1994).
2. C. Eckbreth, Laser Diagnostics for Combustion Temperature and Species, 2nd ed. (Gordon and Breach, Amsterdam, The Netherlands, 1996).
3. P. H. Vaccaro, “Degenerate four-wave mixing (DFWM) spectroscopy,” in Nonlinear Spectroscopy for Molecular Structure Determination, E. Hirota, R. W. Field, J. P. Maier, and S. Tsuchiya, eds. (Blackwell Scientific Publications, Ltd., London, 1997).
4. R. L. Abrams, J. F. Lam, R. C. Lind, and D. G. Steel, “Phase conjugation and high-resolution spectroscopy by resonant degenerate four-wave mixing,” in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, San Diego, Calif., 1983), pp. 211-284.
5. S. Williams, R. N. Zare, and L. A. Rahn, “Reduction of degenerate four-wave mixing spectra to relative populations. I. Weak-field limit,” J. Chem. Phys. 101, 1072-1092 (1994).
6. S. Williams, R. N. Zare, and L. A. Rahn, “Reduction of degenerate four-wave mixing spectra to relative populations. II. Strong-field limit,” J. Chem. Phys. 101, 1093-1107 (1994).
7. P. Ljungberg and O. Axner, “Two-step degenerate four-wave mixing as a means to decrease pre- and post-filtering effects in optically thick media,” Appl. Phys. B 59, 53-60 (1994).
8. B. Ai and R. J. Knize, “Degenerate four-wave mixing in two- level saturable absorbers,” J. Opt. Soc. Am. B 13, 2408-2419 (1996).
9. P. Smith and A. G. Astili, “Temperature measurement using degenerate four-wave mixing with non-saturating laser powers,” Appl. Phys. B 58, 459-466 (1994).
10. G. C. Herring, W. L. Roberts, M. S. Brown, and P. A. DeBarber, “Temperature measurement by degenerate four-wave mixing with strong absorption of the excitation beams,” Appl. Opt. 35, 6544-6547 (1996).
11. G. M. Lloyd, I. G. Hughes, R. Bratfalean, and P. Ewart, “Broadband degenerate four-wave mixing of OH for flame thermometry,” Appl. Phys. B 67, 107-113 (1998).
12. P. M. Danehy, P. H. Paul, and R. L. Farrow, “Thermal grating contributions to degenerate four-wave mixing in nitric oxide,” J. Opt. Soc. Am. B 12, 1564-1576 (1995).
13. P. M. Danehy and R. L. Farrow, “Comparison of degenerate four-wave mixing line shapes from population- and thermal-grating scattering,” J. Opt. Soc. Am. B 13, 1412-1418 (1996).
14. B. A. Mann, R. F. White, and R. J. S. Morrison, “Detection and imaging of nitrogen dioxide with degenerate four-wave mixing and laser-induced fluorescence techniques,” Appl. Opt. 35, 475-481 (1996).
15. Dreizler, T. Dreier, and J. Wolfrum, “Thermal grating effects in infrared degenerate four-wave mixing for trace gas detection,” Chem. Phys. Lett. 233, 525-532 (1995).
16. 2,” Appl. Phys. B 60, 11-18 (1995).
17. H. Latzel, A. Dreizler, T. Dreier, J. Heinze, M. Dillmann, W. Stricker, G. M. Lloyd, and P. Ewart, “Thermal grating and broadband degenerate four-wave mixing spectroscopy of OH in high-pressure flames,” Appl. Phys. B 67, 667-673 (1998).
18. D. A. Feikema, E. Domingues, and M.-J. Cottereau, “OH rotational temperature and number density measurements in high-pressure flames using double phase-conjugate four-wave mixing,” Appl. Phys. B 55, 424-429 (1992).
19. M. Winter and P. P. Radi, “Nearly degenerate four-wave mixing using phase-conjugate pump beams,” Opt. Lett. 17, 320-322 (1992).
20. M. Winter, P. P. Radi, and A. Stampanoni, “Double phase-conjugate four-wave mixing of OH in flames,” in Twenty-Fourth Symposium (International) on Combustion (The Combustion Institute, Pittsburgh, Pa., 1992), pp. 1645-1652.
21. R. Bratfalean and P. Ewart, “Spectral line shape of nonresonant four-wave mixing in Markovian stochastic fields,” Phys. Rev. A 56, 2267-2279 (1997).
22. P. Ewart, P. G. R. Smith, and R. B. Williams, “Imaging oftrace species distributions by degenerate four-wave mixing: diffraction effects, spatial resolution, and image referencing,” Appl. Opt. 36, 5959-5968 (1997).
23. R. L. Vander Wal, R. L. Farrow, and D. J. Rakestraw, “Highresolution investigation of degenerate four-wave mixing in the 7(0,0) band of nitric oxide,” in Twenty-Fourth Symposium (International) on Combustion (The Combustion Institute, Pittsburgh, Pa., 1992), pp. 1653-1659.
24. R. P. Lucht, R. L. Farrow, and D. J. Rakestraw, “Saturation effects in gas-phase degenerate four-wave mixing: nonper turbative calculations,” J. Opt. Soc. Am. B 10, 1508-1520 (1993).
25. R. L. Farrow, D. J. Rakestraw, and T. Dreier, “Investigation of the dependence of degenerate four-wave mixing line intensities on transition dipole moment,” J. Opt. Soc. Am. B 9, 1770-1777 (1992).
26. P. M. Danehy, E. J. Friedman-Hill, R. P. Lucht, and R. L. Farrow, “The effects of collisional quenching on degenerate four-wave mixing,” Appl. Phys. B 57, 243-248 (1993).
27. G. N. Robertson, K. Kohse-Hoinghaus, S. Le Boiteux, F. Aguerre, and B. Attal-Tretout, “Observation of strong field effects and rotational line coupling in DFWM processes resonant with X-n electronic system,” J. Quant. Spectrosc. Radiat. Transfer 55, 71-101 (1996).
28. Attal-Tretout, H. Bervas, J. P. Taran, S. Le Boiteux, P. Kelley, and T. K. Gustafson, “Saturated FDFWM lineshapes and intensities: theory and application to quantitative measurements in flames,” J. Phys. B 30, 497-522 (1997).
29. S. Green, T. G. Owano, S. Williams, D. G. Goodwin, R. N. Zare, and C. H. Kruger, “Boundary layer profiles in plasma chemical vapor deposition,” Science 259, 1726-1729 (1993).
30. S. Williams, D. S. Green, S. Sethuraman, and R. N. Zare, “Detection of trace species in hostile environments using degenerate four-wave mixing: CH in an atmospheric-pressure flame,” J. Am. Chem. Soc. 114, 9122-9130 (1992).
31. T. Dreier and D. J. Rakestraw, “Measurement of OH rotational temperatures in a flame using degenerate four-wave mixing,” Opt. Lett. 15, 72-74 (1990).
32. T. Dreier and D. J. Rakestraw, “Degenerate four-wave mixing diagnostics on OH and NH radicals in flames,” Appl. Phys. B. 50, 479-485 (1990).
33. B. Yip, P. M. Danehy, and R. K. Hanson, “Degenerate four-wave mixing temperature measurements in a flame,” Opt. Lett. 17, 751-753 (1992).
34. D. J. Rakestraw, L. R. Thorne, and T. Dreier, “Detection ofNH radicals in flames using degenerate four-wave mixing,” in Twenty-Third Symposium (International) on Combustion (The Combustion Institute, Pittsburgh, Pa., 1990), pp. 1901-1907.
35. 2,” J. Opt. Soc. Am. B 12, 25-32 (1995).
36. V. Sick, M. N. Bui-Pham, and R. L. Farrow, “Detection of methyl radicals in a flat flame by degenerate four-wave mixing,” Opt. Lett. 20, 2036-2038 (1995).
37. H. Bervas, B. Attal-Tretout, L. Labrunie, and S. Le Boiteux, “Four-wave mixing in OH: comparison between CARS and DFWM,” Nuovo Cimento 14, 1043-1050 (1992).
38. H. Bervas, B. Attal-Tretout, S. Le Boiteux, and J. P. Taran, “OH detection and spectroscopy by DFWM in flames: comparison with CARS,” J. Phys. B 25, 949-969 (1992).
39. R. D. Hancock, K. E. Bertagnolli, and R. P. Lucht, “Nitrogen and hydrogen CARS temperature measurements in a hydro-gen/air flame using a near-adiabatic flat-flame burner,” Combust. Flame 109, 323-331 (1997).
40. K. E. Bertagnolli, R. P. Lucht, and M. N. Bui-Pham, “Atomic hydrogen concentration profile measurements in stagnation-flow diamond-forming flames using three-photon excitation laser-induced fluorescence,” J. Appl. Phys. 83, 2315-2326 (1988).
41. R. L. Abrams and R. C. Lind, “Degenerate four-wave mixing in absorbing media,” Opt. Lett. 2, 94-96 (1978); erratum, 3, 205 (1978).
42. T. A. Reichardt and R. P. Lucht, “Interaction of closely spaced resonances in degenerate four-wave mixing spectroscopy,” J. Opt. Soc. Am. B 14, 2449-2458 (1997).
43. T. A. Reichardt, R. P. Lucht, P. M. Danehy, and R. L. Farrow, “Theoretical investigation of the forward phase-matched ge-ometry for degenerate four-wave mixing spectroscopy,” J. Opt. Soc. Am. B 15, 2566-2572 (1998).
44. M. S. Brown, L. A. Rahn, and R. P. Lucht, “Degenerate four-wave mixing line shapes of hydroxyl at high pump intensities,” Appl. Opt. 34, 3274-3280 (1995).
45. T. A. Reichardt and R. P. Lucht, “Effect of Doppler broadening on quantitative concentration measurements with degenerate four-wave mixing spectroscopy,” J. Opt. Soc. Am. B 13, 1107-1119 (1996).
46. D. R. Meacher, A. Charlton, P. Ewart, J. Cooper, and G. Alber, “Degenerate four-wave mixing with broad-bandwidth lasers,” Phys. Rev. A 42, 3018-3026 (1990).
47. Y. Tang and S. A. Reid, “Saturation behavior in degenerate four-wave mixing with nonmonochromatic, non-Lorentzian fields,” J. Chem. Phys. 105, 8481-8489 (1996).
48. J. Luque and D. R. Crosley, “LIFBASE: database and spectral simulation program,” Version 1.0 Report MP 96-001 (SRI International, 333 Ravenswood Ave., Menlo Park, Calif., 1996).
49. S. Gordon and B. J. McBride, “Computer program for calculation of complex chemical equilibrium compositions, rocket performance, incident and reflected shocks, and Chapman-Jouguet detonations,” NASA Report SP-273 (NASA Lewis Research Center, Cleveland, Ohio, 1976).
50. 2,” J. Quant. Spectrosc. Radiat. Transfer 37, 117-127 (1987).
51. 2 in atmospheric-pressure flames,” J. Quant. Spectrosc. Ra-diat. Transfer 41, 29-42 (1989).
52. + OH. I. Rotational,” J. Chem. Phys. 67, 2085-2101 (1977).
53. +),” Chem. Phys. 151, 233-238 (1991).
54. +,” J. Quant. Spectrosc. Radiat. Transfer 51, 511-524 (1994).
55. N. L. Garland and D. R. Crosley, “On the collisional quenching of electronically excited OH, NH and CH in flames,” in Twenty-First Symposium (International) on Combustion (The Combustion Institute, Pittsburgh, Pa., 1986), pp. 1693-1702.
56. 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. (to be published).
57. 2 in an atmospheric pressure oxy-acetylene flame,” J. Chem. Phys. 106, 5324-5332 (1997).
58. S. Williams, L. A. Rahn, and R. N. Zare, “Effects of different population, orientation, and alignment relaxation rates in resonant four-wave mixing,” J. Chem. Phys. 104, 3947-3955 (1996).