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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: 1954–1957

Physical basis of three-dimensional inverse scattering for the plasma wave equation

James H. Rose, Brian DeFacio, and Margaret Cheney  »View Author Affiliations


JOSA A, Vol. 2, Issue 11, pp. 1954-1957 (1985)
http://dx.doi.org/10.1364/JOSAA.2.001954


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Abstract

Exact inverse-scattering equations are derived for the time-domain plasma-wave equation. Care is taken to motivate each step of the derivation by elementary physical arguments. The inverse method in this formulation is shown to depend on (1) causality, (2) the far-field properties of the Green function, and (3) the representation theorem.

© 1985 Optical Society of America

History
Original Manuscript: March 1, 1985
Manuscript Accepted: July 23, 1985
Published: November 1, 1985

Citation
James H. Rose, Margaret Cheney, and Brian DeFacio, "Physical basis of three-dimensional inverse scattering for the plasma wave equation," J. Opt. Soc. Am. A 2, 1954-1957 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-11-1954


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References

  1. P. C. Sabatier, ed., Problèmes Inverses, Cah. Math. Montpellier, R.C.P. 264, Recontre 1982 (1983);Recontre 1983 (1984);R. G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (Springer-Verlag, New York, 1982).
  2. E. Vogelzang, D. Yevick, H. A. Ferwerda, Opt. Commun. 45, 376 (1983). [CrossRef]
  3. A. J. Devaney, ed., Inverse Optics, Proc. Soc. Photo-Opt. Instrum. Eng.413 (1983).
  4. K. M. Hansen, G. W. Wecksung, J. Opt. Soc. Am. 73, 1501 (1983). [CrossRef]
  5. D. O. Thompson, D. E. Chimenti, Review of Progress in Nondestructive Evaluation (Plenum, New York, 1982–1984), Vols. 1–3. [CrossRef]
  6. R. G. Newton, J. Math Phys. 23, 594 (1982), and references therein. [CrossRef]
  7. K. Budden, Radio Waves in the Ionosphere (Cambridge U. Press, London, 1961);A. K. Jordan, S. Ahn, Proc. IRE 126, 945 (1979);G. N. Balanis, J. Math. Phys. 13, 1001 (1972). [CrossRef]
  8. J. H. Rose, M. Cheney, B. DeFacio, J. Math Phys. 25, 2995 (1984). [CrossRef]
  9. C. S. Morawetz, Comput. Math. Appl. 7, 319 (1981);C. J. Callias, G. A. Uhlmann, MSRI Rep. 034-83 (Berkeley, Calif., to be published). [CrossRef]
  10. J. H. Rose, M. Cheney, B. DeFacio, “Three-dimensional inverse scattering: plasma and variable velocity wave equations,” J. Math. Phys. (to be published).
  11. B. DeFacio, J. H. Rose, in Review of Progress in Quantitative Nondestructive Evaluation, D. O. Thompson, D. E. Chimenti, eds. (Plenum, New York, 1986).

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