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Searchlight Problem

  • Harriet H. Natsuyama
  • Sueo Ueno
  • Alan P. Wang

Abstract

The searchlight problem is concerned with the target reflection from a point source at the top of the atmospheric layer. In this chapter we develop methods to recover the true target reflection from the observed data which consists of the background light and the multiple scattering in the atmospheric layer. After the construction of the mathematical model of initial value problems based on invariant imbedding, we also establish approximation solutions and simulation results.

Keywords

Radiative Transfer Optical Thickness Atmospheric Layer Background Light Diffuse Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    S. Ueno, “Invariant Imbedding and Diffuse Reflection of Radiation by Multidimensional Slab,” Memoires of Kanuzawa Institute of Technology, A, No. 6, 1976.Google Scholar
  2. 2.
    S. Chandrasekhar, Radiative Transfer, Oxford University, New York, 1950.Google Scholar
  3. 3.
    J. Lenoble, “Solution of Radiative Transfer in an Infinite Scattering Medium Illuminated by a Point Source,” Scientific Report No. 6, Department of Meteorology, University of California, 1960.Google Scholar
  4. 4.
    R. W. Preisendorfer, “The Fundamental Method of Solving Point Source Problems in Discrete-Space Radiative Transfer Theory,” SIO reference 69–71, Scripps Institute of Oceanography, 1959.Google Scholar
  5. 5.
    R. Bellman, R. Kalaba and S. Ueno, “Invariant Imbedding and Diffuse Reflection of Radiation from a Collimated Point Source I and II,” Rand Corporation, RM-3141, ARPA, 1962.Google Scholar
  6. 6.
    R. Bellman, R. Kalaba and S. Ueno, “Invariant Imbedding and Diffuse Reflection of Radiation from a Collimated Point Source III,” Rand Corporation, RM-3166, ARPA, 1962.Google Scholar
  7. 7.
    A. P. Wang and S. Ueno, “Searchlight on a Target with Diffuse Background I,” J. Math. Physics, Vol. 34, No. 2, February 1993, pp. 878–884.CrossRefGoogle Scholar
  8. 8.
    A. P. Wang and S. Ueno, “Searchlight on a Target with Diffuse Background II,” Computers Math. Applic, Vol. 27, No. 9/10, 1994, pp. 169–172.CrossRefGoogle Scholar
  9. 9.
    A. P. Wang, “The Four-Ports Dynamic System,” J. of Math. Analysis and Applications, Vol. 120, No. 2, 1986, pp. 416–437.CrossRefGoogle Scholar
  10. 10.
    A. P. Wang and S. Ueno, “Searchlight on a Target with Diffuse Background I,” J. of Mathematical Physics, Vol. 34, 1993, pp. 878–884.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Tokyo 1998

Authors and Affiliations

  • Harriet H. Natsuyama
    • 1
  • Sueo Ueno
    • 2
  • Alan P. Wang
    • 3
  1. 1.Yorba LindaUSA
  2. 2.KyotoJapan
  3. 3.TempeUSA

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