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Article has an altmetric score of 1

Grant support

This research was founded by Spanish FEDER/MICINN-AEI grants MTM2017-84446-C2-1-R, PID2020-112796RB-C21 and PID2020-114173RB-I00.

Analysis of institutional authors

Rapun, MlCorresponding Author

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Multifrequency Topological Derivative Approach to Inverse Scattering Problems in Attenuating Media

Publicated to:Symmetry-Basel. 13 (9): 1702- - 2021-09-01 13(9), DOI: 10.3390/sym13091702

Authors: Carpio, Ana; Rapun, Maria-Luisa;

Affiliations

Univ Complutense Madrid, Fac Matemat, Dept Matemat Aplicada, Madrid 28040, Spain - Author
Univ Politecn Madrid, Dept Matemat Aplicada Ingn Aerosp, Madrid 28040, Spain - Author

Abstract

Detecting objects hidden in a medium is an inverse problem. Given data recorded at detectors when sources emit waves that interact with the medium, we aim to find objects that would generate similar data in the presence of the same waves. In opposition, the associated forward problem describes the evolution of the waves in the presence of known objects. This gives a symmetry relation: if the true objects (the desired solution of the inverse problem) were considered for solving the forward problem, then the recorded data should be returned. In this paper, we develop a topological derivative-based multifrequency iterative algorithm to reconstruct objects buried in attenuating media with limited aperture data. We demonstrate the method on half-space configurations, which can be related to problems set in the whole space by symmetry. One-step implementations of the algorithm provide initial approximations, which are improved in a few iterations. We can locate object components of sizes smaller than the main components, or buried deeper inside. However, attenuation effects hinder object detection depending on the size and depth for fixed ranges of frequencies.

Keywords

AlgorithmAttenuationBoundaryDamped wave equationEquationMultifrequencyObstacleOptimizationReconstructionShapeShape reconstructionThinTopological derivative

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Symmetry-Basel due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position 34/74, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Multidisciplinary Sciences. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Computer Science (Miscellaneous).

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-06-10:

  • Google Scholar: 5
  • WoS: 2
  • Scopus: 2
  • OpenCitations: 2

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-10:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 1.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
  • The number of mentions on the social network X (formerly Twitter): 2 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (RAPUN BANZO, MARIA LUISA).

the author responsible for correspondence tasks has been RAPUN BANZO, MARIA LUISA.