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.
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References
S. Ueno, “Invariant Imbedding and Diffuse Reflection of Radiation by Multidimensional Slab,” Memoires of Kanuzawa Institute of Technology, A, No. 6, 1976.
S. Chandrasekhar, Radiative Transfer, Oxford University, New York, 1950.
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.
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.
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.
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.
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.
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.
A. P. Wang, “The Four-Ports Dynamic System,” J. of Math. Analysis and Applications, Vol. 120, No. 2, 1986, pp. 416–437.
A. P. Wang and S. Ueno, “Searchlight on a Target with Diffuse Background I,” J. of Mathematical Physics, Vol. 34, 1993, pp. 878–884.
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© 1998 Springer-Verlag Tokyo
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Natsuyama, H.H., Ueno, S., Wang, A.P. (1998). Searchlight Problem. In: Terrestrial Radiative Transfer. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68527-2_9
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DOI: https://doi.org/10.1007/978-4-431-68527-2_9
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-70206-1
Online ISBN: 978-4-431-68527-2
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