| Title: |
Constrained Pseudoinverses for the Electromagnetic Inverse Source Problem |
| Authors: |
Citraro, Ermanno; Ricci, Paolo; Dély, Alexandre; Merlini, Adrien; Andriulli, Francesco, P |
| Contributors: |
Politecnico di Torino = Polytechnic of Turin (Polito); THALES France; Equipe PIM (Lab-STICC_PIM); Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC); École Nationale d'Ingénieurs de Brest (ENIB); Université de Brest (UBO EPE)-Institut National Polytechnique de Bretagne (Bretagne INP)-Université de Brest (UBO EPE)-Institut National Polytechnique de Bretagne (Bretagne INP)-Université de Bretagne Sud (UBS)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Institut Mines-Télécom Paris (IMT)-Centre National de la Recherche Scientifique (CNRS)-Université Bretagne Loire (UBL)-IMT Atlantique (IMT Atlantique); Institut Mines-Télécom Paris (IMT)-École Nationale d'Ingénieurs de Brest (ENIB); Institut Mines-Télécom Paris (IMT); Département Micro-Ondes (IMT Atlantique - MO); IMT Atlantique (IMT Atlantique); Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT); This work was supported in part by the European Union (EU) H2020 Research and Innovation Program through the Marie Skłodowska-Curie (Project COMPETE) under Grant 955476; in part by Horizon Europe Research and Innovation Program through the European Innovation Council (EIC) Pathfinder (Project CEREBRO) under Grant 101046748; in part by Italian Ministry of University and Research within the Program FARE, CELER, under Grant R187PMFXA4; and in part by European Union—Next Generation EU within the PNRR Project “Multiscale modeling and Engineering Applications” of the Italian National Center for High Performance Computing (HPC), Big Data and Quantum Computing (Spoke 6)–PNRR M4C2, Investimento 1.4–Avviso n. 3138 del 16/12/2021–CN00000013 National Centre for HPC, Big Data and Quantum Computing (HPC)–Codice Unico Progetto (CUP) under Grant E13C22000990001. |
| Source: |
ISSN: 0018-926X ; IEEE Transactions on Antennas and Propagation ; https://hal.science/hal-05073228 ; IEEE Transactions on Antennas and Propagation, 2024, 72 (9), pp.7194 - 7200. ⟨10.1109/tap.2024.3428858⟩. |
| Publisher Information: |
CCSD; Institute of Electrical and Electronics Engineers |
| Publication Year: |
2024 |
| Collection: |
Université de Bretagne Occidentale: HAL |
| Subject Terms: |
A priori information; evanescent modes; integral equations; inverse source problem; Moore-Penrose (MP) pseudoinverse; vector spherical harmonics (VSH); [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism; [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]; [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Description: |
International audience ; Inverse source strategies have proven to be quite relevant for several applications in advanced electromagnetics. These schemes are based on the solution of ill-posed problems in which current or near-field distributions are reconstructed from far-field (or from less informative field) information. Standard strategies, that can include physical constraints such as Love conditions, often rely on standard pseudoinverse definitions and yield solutions that are, at times, far from the physical ones. This work proposes a different approach focusing on defining and analyzing a new family of pseudoinverses that takes advantage of small-in-dimension subspaces containing a priori information. The new solutions returned by the new pseudoinverses will be a suitable average between a solution living entirely in the vector space containing the a priori information and a solution obtained via norm-minimizing approaches. The contribution presents both theoretical analyses and numerical experiments showing the practical effectiveness of the novel mathematical tool. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1109/tap.2024.3428858 |
| Availability: |
https://hal.science/hal-05073228; https://hal.science/hal-05073228v1/document; https://hal.science/hal-05073228v1/file/Constrained_Pseudoinverses_for_the_Electromagnetic_Inverse_Source_Problem.pdf; https://doi.org/10.1109/tap.2024.3428858 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.79074F7E |
| Database: |
BASE |