QR-Recursive Compression of Volume Integral Equations for Electromagnetic Scattering by Large Metasurfaces
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914386222776320 |
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| author | Mottola, Vincenzo Tamburrino, Antonello Bergamaschi, Luca Chiariello, Andrea G. Corsaro, Emanuele Forestiere, Carlo Rubinacci, Guglielmo Ventre, Salvatore |
| author_facet | Mottola, Vincenzo Tamburrino, Antonello Bergamaschi, Luca Chiariello, Andrea G. Corsaro, Emanuele Forestiere, Carlo Rubinacci, Guglielmo Ventre, Salvatore |
| contents | In this paper, a novel QR decomposition-based compression scheme is combined with a volume integral equations method for the fast and efficient numerical computation of the scattering of electromagnetic fields from large scale metasurfaces, via an iterative approach.
The underlying problem is of a multiscale nature. Indeed, these metasurfaces are made of a large collection of interacting sub-wavelength scatterers, thus making the numerical computation of the solution very challenging.
More specifically, the paper proposes a tailored version of a QR decomposition-based compression for a volume integral equation, together with a proper preconditioner that exploits the geometrical structure of the array, in order to achieve a fast and accurate iterative solver, in view of realistic applications. Numerical examples prove the effectiveness of the method in efficiently modeling metasurfaces made by thousands of particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10586 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | QR-Recursive Compression of Volume Integral Equations for Electromagnetic Scattering by Large Metasurfaces Mottola, Vincenzo Tamburrino, Antonello Bergamaschi, Luca Chiariello, Andrea G. Corsaro, Emanuele Forestiere, Carlo Rubinacci, Guglielmo Ventre, Salvatore Numerical Analysis Mathematical Physics In this paper, a novel QR decomposition-based compression scheme is combined with a volume integral equations method for the fast and efficient numerical computation of the scattering of electromagnetic fields from large scale metasurfaces, via an iterative approach. The underlying problem is of a multiscale nature. Indeed, these metasurfaces are made of a large collection of interacting sub-wavelength scatterers, thus making the numerical computation of the solution very challenging. More specifically, the paper proposes a tailored version of a QR decomposition-based compression for a volume integral equation, together with a proper preconditioner that exploits the geometrical structure of the array, in order to achieve a fast and accurate iterative solver, in view of realistic applications. Numerical examples prove the effectiveness of the method in efficiently modeling metasurfaces made by thousands of particles. |
| title | QR-Recursive Compression of Volume Integral Equations for Electromagnetic Scattering by Large Metasurfaces |
| topic | Numerical Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2603.10586 |