Abstract

The Abel inversion, used to reconstruct axisymmetric radial profiles from line-of-sight intensity measurements, is increasingly used to make spatially resolved combustion measurements. An Abel deconvolution is valid only when incoming rays are parallel, whereas most practical optical setups used for emission imaging consist of single-lens and multilens systems that collect light in a cone, over a nonzero solid angle. A ray-tracing simulation was performed to aid in understanding how optical collection geometry affects measured intensity signals and the resultant reconstructed emissivity profiles. Simulation results are compared with emission tomography measurements performed on an axisymmetric laminar diffusion flame.

© 2000 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. C. Eckbreth, Laser Diagnostics for Combustion Temperature and Species, 2nd ed., Vol. 3 of Combustion Science and Technology Book Series (Gordon & Breach, Amsterdam, 1996).
  2. B. J. Hughley and D. A. Santavicca, Combust. Sci. Technol. 29, 167 (1982).
    [CrossRef]
  3. A. J. Marchese, F. L. Dryer, M. Vedha-Nayagam, and R. Colantonio, in Twenty-Sixth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1996), p. 1219.
  4. K. T. Walsh, M. B. Long, M. A. Tanoff, and M. D. Smooke, in Twenty-Seventh Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1998), p. 615.
  5. J. Luque, W. Juchmann, E. A. Brinkman, and J. B. Jeffries, J. Vac. Sci. Technol. A 16, 397 (1998).
    [CrossRef]
  6. M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.
  7. C. J. Dasch, Appl. Opt. 31, 1146 (1994).
    [CrossRef]
  8. J. Luque and D. R. Crosley, Appl. Phys. B 63, 91 (1996).
    [CrossRef]
  9. H. M. Hertz and G. W. Faris, Opt. Lett. 13, 351 (1988).
    [CrossRef] [PubMed]

1998 (1)

J. Luque, W. Juchmann, E. A. Brinkman, and J. B. Jeffries, J. Vac. Sci. Technol. A 16, 397 (1998).
[CrossRef]

1996 (1)

J. Luque and D. R. Crosley, Appl. Phys. B 63, 91 (1996).
[CrossRef]

1994 (1)

1988 (1)

1982 (1)

B. J. Hughley and D. A. Santavicca, Combust. Sci. Technol. 29, 167 (1982).
[CrossRef]

Brinkman, E. A.

J. Luque, W. Juchmann, E. A. Brinkman, and J. B. Jeffries, J. Vac. Sci. Technol. A 16, 397 (1998).
[CrossRef]

Colantonio, R.

A. J. Marchese, F. L. Dryer, M. Vedha-Nayagam, and R. Colantonio, in Twenty-Sixth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1996), p. 1219.

Crosley, D. R.

J. Luque and D. R. Crosley, Appl. Phys. B 63, 91 (1996).
[CrossRef]

Dasch, C. J.

Dryer, F. L.

A. J. Marchese, F. L. Dryer, M. Vedha-Nayagam, and R. Colantonio, in Twenty-Sixth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1996), p. 1219.

Eckbreth, A. C.

A. C. Eckbreth, Laser Diagnostics for Combustion Temperature and Species, 2nd ed., Vol. 3 of Combustion Science and Technology Book Series (Gordon & Breach, Amsterdam, 1996).

Faris, G. W.

Frank, J. H.

M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.

Hertz, H. M.

Hughley, B. J.

B. J. Hughley and D. A. Santavicca, Combust. Sci. Technol. 29, 167 (1982).
[CrossRef]

Jeffries, J. B.

J. Luque, W. Juchmann, E. A. Brinkman, and J. B. Jeffries, J. Vac. Sci. Technol. A 16, 397 (1998).
[CrossRef]

Juchmann, W.

J. Luque, W. Juchmann, E. A. Brinkman, and J. B. Jeffries, J. Vac. Sci. Technol. A 16, 397 (1998).
[CrossRef]

Lin, P.

M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.

Long, M. B.

M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.

K. T. Walsh, M. B. Long, M. A. Tanoff, and M. D. Smooke, in Twenty-Seventh Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1998), p. 615.

Luque, J.

J. Luque, W. Juchmann, E. A. Brinkman, and J. B. Jeffries, J. Vac. Sci. Technol. A 16, 397 (1998).
[CrossRef]

J. Luque and D. R. Crosley, Appl. Phys. B 63, 91 (1996).
[CrossRef]

Marchese, A. J.

A. J. Marchese, F. L. Dryer, M. Vedha-Nayagam, and R. Colantonio, in Twenty-Sixth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1996), p. 1219.

Santavicca, D. A.

B. J. Hughley and D. A. Santavicca, Combust. Sci. Technol. 29, 167 (1982).
[CrossRef]

Smooke, M. D.

K. T. Walsh, M. B. Long, M. A. Tanoff, and M. D. Smooke, in Twenty-Seventh Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1998), p. 615.

M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.

Tanoff, M. A.

K. T. Walsh, M. B. Long, M. A. Tanoff, and M. D. Smooke, in Twenty-Seventh Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1998), p. 615.

Vedha-Nayagam, M.

A. J. Marchese, F. L. Dryer, M. Vedha-Nayagam, and R. Colantonio, in Twenty-Sixth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1996), p. 1219.

Walsh, K. T.

K. T. Walsh, M. B. Long, M. A. Tanoff, and M. D. Smooke, in Twenty-Seventh Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1998), p. 615.

Xu, Y.

M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.

Zurn, R. M.

M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.

Appl. Opt. (1)

Appl. Phys. B (1)

J. Luque and D. R. Crosley, Appl. Phys. B 63, 91 (1996).
[CrossRef]

Combust. Sci. Technol. (1)

B. J. Hughley and D. A. Santavicca, Combust. Sci. Technol. 29, 167 (1982).
[CrossRef]

J. Vac. Sci. Technol. A (1)

J. Luque, W. Juchmann, E. A. Brinkman, and J. B. Jeffries, J. Vac. Sci. Technol. A 16, 397 (1998).
[CrossRef]

Opt. Lett. (1)

Other (4)

A. C. Eckbreth, Laser Diagnostics for Combustion Temperature and Species, 2nd ed., Vol. 3 of Combustion Science and Technology Book Series (Gordon & Breach, Amsterdam, 1996).

M. D. Smooke, Y. Xu, R. M. Zurn, P. Lin, J. H. Frank, and M. B. Long, in Twenty-Fourth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1992), p. 813.

A. J. Marchese, F. L. Dryer, M. Vedha-Nayagam, and R. Colantonio, in Twenty-Sixth Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1996), p. 1219.

K. T. Walsh, M. B. Long, M. A. Tanoff, and M. D. Smooke, in Twenty-Seventh Symposium (International) on Combustion (Combustion Institute, Pittsburgh, Pa., 1998), p. 615.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Illustration of projection measurement with parallel beam collection.

Fig. 2
Fig. 2

Coordinate system used for signal collection simulation.

Fig. 3
Fig. 3

Left, integrated intensity signal from experimental data (short-dashed curve), simulated three-dimensional optical collection (long-dashed curve), and simulated parallel ray collection (solid curve). Right, Abel-inverted emissivity profiles of the curves shown at the left.

Fig. 4
Fig. 4

Peak reconstruction errors, as a function of fo/d for three radial distributions: crosses, Gaussian; triangles, top-hat; squares, CH*.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

Iy=-Fx2+y21/2dx.
Fr=-1πrIyy2-r21/2dy,
2D:Iy0=x0=02rix=02riyRx0,y0Fx-ri2+y21/2,

Metrics