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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 2, Iss. 11 — Nov. 1, 1985
  • pp: 1972–1978

Sensitivity of multiple-scattering inverse transport methods to measurement errors

J. C. Oelund and N. J. McCormick  »View Author Affiliations


JOSA A, Vol. 2, Issue 11, pp. 1972-1978 (1985)
http://dx.doi.org/10.1364/JOSAA.2.001972


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Abstract

Inverse multiple-scattering transport methods, derived from the linear Boltzmann equation, are potentially suitable for remote-sensing studies because they do not require measurements within the scattering medium. The methods investigated yield the single-frequency angular redistribution function for a homogeneous one-dimensional slab medium that is uniformly illuminated. Illustrative numerical results for a monodirectional incident beam show that the methods are ill conditioned with respect to simulated measurement errors, with the severity depending strongly on the direction of the incident beam.

© 1985 Optical Society of America

History
Original Manuscript: January 7, 1985
Manuscript Accepted: April 2, 1985
Published: November 1, 1985

Citation
J. C. Oelund and N. J. McCormick, "Sensitivity of multiple-scattering inverse transport methods to measurement errors," J. Opt. Soc. Am. A 2, 1972-1978 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-11-1972


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References

  1. C. E. Siewert, “The inverse problem for a finite slab,” Nucl. Sci. Eng. 67, 259–260 (1978).
  2. C. E. Siewert, “On establishing a two-term scattering law in the theory of radiative transfer,” Z. Angew. Math. Phys. 30, 522–525 (1979). [CrossRef]
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  19. S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements (Elsevier, New York, 1977).

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