Inverse geophysical and potential scattering on a small body

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Simple and numerically stable approaches to approximate solution of inverse geophysical and potential scattering problems are described. The method we propose consists of two steps. Let {nu}(z) be the inhomogeneity (potential), and let D be its support, First, we find approximations to the zeroth moment (total intensity){integral}{sub D}{nu}(z)dz and the first moment (center of gravity) {integral}{sub D}z{nu}(z)/{integral}{sub D}{nu}(z)dz of the function {nu}(z). We call this step ``inhomogeneity localization``, because in many cases the center of gravity lies inside D or is located close to it. Second, we refine the above moments and find the tensor of the second central moments ... continued below

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12 p.

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Katsevich, A.I. & Ramm, A.G. July 1, 1995.

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Description

Simple and numerically stable approaches to approximate solution of inverse geophysical and potential scattering problems are described. The method we propose consists of two steps. Let {nu}(z) be the inhomogeneity (potential), and let D be its support, First, we find approximations to the zeroth moment (total intensity){integral}{sub D}{nu}(z)dz and the first moment (center of gravity) {integral}{sub D}z{nu}(z)/{integral}{sub D}{nu}(z)dz of the function {nu}(z). We call this step ``inhomogeneity localization``, because in many cases the center of gravity lies inside D or is located close to it. Second, we refine the above moments and find the tensor of the second central moments of {nu}(z). Using this information, we find an ellipsoid D and a real constant {nu}, such that the inhomogeneity (potential){nu}(z) = {nu}, z {epsilon} D, and {nu}(z) = 0, z {epsilon} D, fits best the scattering data and has the same zeroth, first, and second moments. We call this step ``approximate inversion``. The proposed method does not require any intensive computations, it is very simple to implement and it is relatively stable towards noise in the data.

Physical Description

12 p.

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INIS; OSTI as DE95015257

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  • 1995 international symposium on Optical Science Engineering and Instrumentation (SPIE), San Diego, CA (United States), 12 Jun 1995

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  • Other: DE95015257
  • Report No.: LA-UR--95-1980
  • Report No.: CONF-9506251--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 96957
  • Archival Resource Key: ark:/67531/metadc792116

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  • July 1, 1995

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  • Dec. 19, 2015, 7:14 p.m.

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  • Feb. 25, 2016, 7:57 p.m.

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Katsevich, A.I. & Ramm, A.G. Inverse geophysical and potential scattering on a small body, article, July 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc792116/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.