Some new results in 1D inverse scattering

John Sylvester

Journées équations aux dérivées partielles (1995)

  • Volume: 1995, page 1-6
  • ISSN: 0752-0360

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Sylvester, John. "Some new results in 1D inverse scattering." Journées équations aux dérivées partielles 1995 (1995): 1-6. <http://eudml.org/doc/93300>.

@article{Sylvester1995,
author = {Sylvester, John},
journal = {Journées équations aux dérivées partielles},
keywords = {reflection coefficient; layer stripping; Plancherel equality; Payley-Wiener theorem},
language = {eng},
pages = {1-6},
publisher = {Ecole polytechnique},
title = {Some new results in 1D inverse scattering},
url = {http://eudml.org/doc/93300},
volume = {1995},
year = {1995},
}

TY - JOUR
AU - Sylvester, John
TI - Some new results in 1D inverse scattering
JO - Journées équations aux dérivées partielles
PY - 1995
PB - Ecole polytechnique
VL - 1995
SP - 1
EP - 6
LA - eng
KW - reflection coefficient; layer stripping; Plancherel equality; Payley-Wiener theorem
UR - http://eudml.org/doc/93300
ER -

References

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  1. [1] R.C. Bailey, Some inverse problems in geophysics1970, Ph.D. thesis, Cambridge Univ. 
  2. [2] Y. Chen and V. Rokhlin, On the inverse scattering problem for the helmholtz equation in one dimension, Inverse Problems, 8(3) (1992), 365-390. Zbl0760.34017MR93c:34034
  3. [3] J. P. Corones, R.J. Krueger, and Davison. Direct and inverse scattering in the time domain via invariant embedding equations, J. Acoust. Soc. Am. 74 (1983), 1535-1541. Zbl0525.73028MR84i:73028
  4. [4] Gelfand, I., and Levitan, B., On the derermination of a differential equation from its spectral function, Izv. Akad Nauk. SSR, Ser. Mat., 15 (1951). Zbl0044.09301MR13,558f
  5. [5] Sylvester, J., The Layer Stripping Approach to Impedance Tomography, Inverse Problems : Principles and Applications in Geophysics, Technology, and Medicine, Potsdam (1993), 307-321. Zbl0807.92013MR94m:35315
  6. [6] Sylvester, J., Winebrenner, D. and Gylys-Colwell, F., Layer Stripping for the Helmholtz Equation, SIAM Journal of Applied Math., (to appear). Zbl0851.34011

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