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001     1029538
005     20250203133156.0
024 7 _ |a 10.1007/s13324-024-00950-x
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024 7 _ |a 1664-2368
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024 7 _ |a 1664-235X
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024 7 _ |a 10.34734/FZJ-2024-05150
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041 _ _ |a English
082 _ _ |a 530
100 1 _ |a Ayala, Rafael Ceja
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245 _ _ |a Inverse parameter and shape problem for an isotropic scatterer with two conductivity coefficients
260 _ _ |a Cham (ZG)
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|b Springer International Publishing AG
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520 _ _ |a In this paper, we consider the direct and inverse problem for isotropic scatterers with two conductive boundary conditions. First, we show the uniqueness for recovering the coefficients from the known far-field data at a fixed incident direction for multiple frequencies. Then, we address the inverse shape problem for recovering the scatterer for the measured far-field data at a fixed frequency. Furthermore, we examine the direct sampling method for recovering the scatterer by studying the factorization for the far-field operator. The direct sampling method is stable with respect to noisy data and valid in two dimensions for partial aperture data. The theoretical results are verified with numerical examples to analyze the performance by the direct sampling method.
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700 1 _ |a Harris, Isaac
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700 1 _ |a Kleefeld, Andreas
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773 _ _ |a 10.1007/s13324-024-00950-x
|g Vol. 14, no. 4, p. 90
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|t Analysis and Mathematical Physics
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|x 1664-2368
856 4 _ |u https://link.springer.com/article/10.1007/s13324-024-00950-x
856 4 _ |u https://juser.fz-juelich.de/record/1029538/files/InvScat-2CBC-Revised.pdf
|y Published on 2024-07-19. Available in OpenAccess from 2025-07-19.
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