Abstract

An overlap term is used in fluorescence theory to account for the spectrally distributed interaction between laser radiation and molecular transitions. We present a dimensionless overlap fraction formulation. Compared with the more common dimensional overlap term [in units of inverse wave number (1/cm−1)], this form of expression of the interaction between a laser and an absorption transition has a much more practical interpretation and simplifies the equations that describe fluorescence measurements.

© 1995 Optical Society of America

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References

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  1. C. D. Carter, R. S. Barlow, “Simultaneous measurements of NO, OH, and the major species in turbulent flames,” Opt. Lett. 19, 299–301 (1994).
    [Crossref] [PubMed]
  2. P. H. Paul, J. E. Dee, “Imaging of reaction zones in hydrocarbon–air flames by use of planar laser-induced fluorescence of CH,” Opt. Lett. 19, 998–1000 (1994).
    [Crossref] [PubMed]
  3. B. E. Battles, J. M. Seitzman, R. K. Hanson, “Quantitative planar laser-induced fluorescence imaging of radical species in high pressure flames,” presented at the Thirty-Second Aerospace Sciences Meeting of the American Institute of Aeronautics and Astronautics, Reno, Nev., 10–13 January 1994.
  4. M. P. Lee, B. K. McMillin, R. K. Hanson, “Temperature measurements in gases by use of planar laser-induced fluorescence imaging of NO,” Appl. Opt. 32, 5379–5396 (1993).
    [Crossref] [PubMed]
  5. K. P. Gross, R. L. McKenzie, P. Logan, “Measurements of temperature, density, pressure, and their fluctuations in supersonic turbulence using laser-induced fluorescence,” Exp. Fluids 5, 372–380 (1987).
    [Crossref]

1994 (2)

1993 (1)

1987 (1)

K. P. Gross, R. L. McKenzie, P. Logan, “Measurements of temperature, density, pressure, and their fluctuations in supersonic turbulence using laser-induced fluorescence,” Exp. Fluids 5, 372–380 (1987).
[Crossref]

Barlow, R. S.

Battles, B. E.

B. E. Battles, J. M. Seitzman, R. K. Hanson, “Quantitative planar laser-induced fluorescence imaging of radical species in high pressure flames,” presented at the Thirty-Second Aerospace Sciences Meeting of the American Institute of Aeronautics and Astronautics, Reno, Nev., 10–13 January 1994.

Carter, C. D.

Dee, J. E.

Gross, K. P.

K. P. Gross, R. L. McKenzie, P. Logan, “Measurements of temperature, density, pressure, and their fluctuations in supersonic turbulence using laser-induced fluorescence,” Exp. Fluids 5, 372–380 (1987).
[Crossref]

Hanson, R. K.

M. P. Lee, B. K. McMillin, R. K. Hanson, “Temperature measurements in gases by use of planar laser-induced fluorescence imaging of NO,” Appl. Opt. 32, 5379–5396 (1993).
[Crossref] [PubMed]

B. E. Battles, J. M. Seitzman, R. K. Hanson, “Quantitative planar laser-induced fluorescence imaging of radical species in high pressure flames,” presented at the Thirty-Second Aerospace Sciences Meeting of the American Institute of Aeronautics and Astronautics, Reno, Nev., 10–13 January 1994.

Lee, M. P.

Logan, P.

K. P. Gross, R. L. McKenzie, P. Logan, “Measurements of temperature, density, pressure, and their fluctuations in supersonic turbulence using laser-induced fluorescence,” Exp. Fluids 5, 372–380 (1987).
[Crossref]

McKenzie, R. L.

K. P. Gross, R. L. McKenzie, P. Logan, “Measurements of temperature, density, pressure, and their fluctuations in supersonic turbulence using laser-induced fluorescence,” Exp. Fluids 5, 372–380 (1987).
[Crossref]

McMillin, B. K.

Paul, P. H.

Seitzman, J. M.

B. E. Battles, J. M. Seitzman, R. K. Hanson, “Quantitative planar laser-induced fluorescence imaging of radical species in high pressure flames,” presented at the Thirty-Second Aerospace Sciences Meeting of the American Institute of Aeronautics and Astronautics, Reno, Nev., 10–13 January 1994.

Appl. Opt. (1)

Exp. Fluids (1)

K. P. Gross, R. L. McKenzie, P. Logan, “Measurements of temperature, density, pressure, and their fluctuations in supersonic turbulence using laser-induced fluorescence,” Exp. Fluids 5, 372–380 (1987).
[Crossref]

Opt. Lett. (2)

Other (1)

B. E. Battles, J. M. Seitzman, R. K. Hanson, “Quantitative planar laser-induced fluorescence imaging of radical species in high pressure flames,” presented at the Thirty-Second Aerospace Sciences Meeting of the American Institute of Aeronautics and Astronautics, Reno, Nev., 10–13 January 1994.

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Equations (5)

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D ( ν ) = S { 1 + [ 2 ( ν - ν 0 ) Δ ν ] 2 } - 1 ,
I ν ( ν , t ) = I ν 0 T L ( t ) L L ( ν ) ,
I ν 0 = 1 Δ ν L Δ t L - + - + I ν ( ν , t ) d ν d t ,
I ν 0 = P L A L R L Δ ν L Δ t L = E L A L Δ ν L Δ t L .
Γ l u , L = - + Y A ( ν ) L L ( ν ) d ν ,

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