Layer-Peeling Inversion of Temporal Refractive Index Profiles from Noisy Data
Abstract
We introduce a direct method for reconstructing the temporal evolution of a medium from electromagnetic field measurements. A sequence of temporal refractive-index changes splits an incident wave into forward- and backward-propagating components, producing a \emph{spatial} response of finite extent. We show that this finite support, together with causality, enables sequential reconstruction of the temporal interfaces through a time-domain extension of layer peeling. For continuously varying media, we introduce a time-adjusted Goupillaud medium and, through space-time duality, establish the corresponding momentum-conservation and admissibility conditions. The method remains robust under incomplete and noisy measurements, providing a general framework for the metrology, characterization, and design of time-varying electromagnetic systems.
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BibTeX
@misc{silbiger2026layerpeeling,
title = {{Layer-Peeling Inversion of Temporal Refractive Index Profiles from Noisy Data}},
author = {Ohad Silbiger and Yakir Hadad},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.09630},
eprint = {2611.09630},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.09630},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Layer-Peeling Inversion of Temporal Refractive Index Profiles from Noisy Data
AU - Ohad Silbiger
AU - Yakir Hadad
PY - 2026
DA - 2026/11/06
PB - arXiv
DO - 10.48550/arxiv.2611.09630
UR - https://arxiv.org/abs/2611.09630
AB - We introduce a direct method for reconstructing the temporal evolution of a medium from electromagnetic field measurements. A sequence of temporal refractive-index changes splits an incident wave into forward- and backward-propagating components, producing a \emph{spatial} response of finite extent. We show that this finite support, together with causality, enables sequential reconstruction of the temporal interfaces through a time-domain extension of layer peeling. For continuously varying media, we introduce a time-adjusted Goupillaud medium and, through space-time duality, establish the corresponding momentum-conservation and admissibility conditions. The method remains robust under incomplete and noisy measurements, providing a general framework for the metrology, characterization, and design of time-varying electromagnetic systems.
ER -