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arXiv · 2608.03996

Reduced-order modeling for electromagnetic inverse problems: a layered medium benchmark

Konstantinos Alexopoulos·Josselin Garnier
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Abstract

We study reduced-order modeling for inverse problems in layered media, focusing on the recovery of impedance profiles from time-domain measurements. Using the Goupillaud structure, we formulate the forward problem as a discrete dynamical system and introduce a ROM-based objective defined at the level of reduced operators. Through numerical experiments on a 5-layer medium under various structured perturbations, we compare the ROM-based objective with a classical data misfit. The results show that the ROM-based inversion provides a more favorable reconstruction in the clean setting and in certain structured perturbation regimes, while remaining consistently competitive with the classical approach across all cases considered.

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Konstantinos Alexopoulos, Josselin Garnier. 2026-08-04. Reduced-order modeling for electromagnetic inverse problems: a layered medium benchmark. https://arxiv.org/abs/2608.03996

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