Journal Article

FZJ-2024-05150

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Inverse parameter and shape problem for an isotropic scatterer with two conductivity coefficients

Ayala, R. C. ; Harris, I. (Corresponding author) ; Kleefeld, A.FZJ*

2024
Springer International Publishing AG Cham (ZG)

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Please use a persistent id in citations: doi:10.1007/s13324-024-00950-x  doi:10.34734/FZJ-2024-05150

Abstract: 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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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2024

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DEAL Springer ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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