PreprintCC BY-NC-ND 4.0arXiv
Characterizing nonlinear information in the linear sampling method for inverse medium scattering
Abstract
This work is concerned with the nonlinear information in the linear sampling method for the inverse medium scattering problem. In addition to the well-known capability in shape characterization, we demonstrate that the imaging indicator represents nonlinear information about the unknown contrast. We further demonstrate additional representations for this nonlinear information using the generalized linear sampling method. We shed light on this new result using the Born model and analytical examples.
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BibTeX
@misc{audibert2026characterizing,
title = {{Characterizing nonlinear information in the linear sampling method for inverse medium scattering}},
author = {Lorenzo Audibert and Shixu Meng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.29492},
eprint = {2606.29492},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.29492},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Characterizing nonlinear information in the linear sampling method for inverse medium scattering
AU - Lorenzo Audibert
AU - Shixu Meng
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2606.29492
UR - https://arxiv.org/abs/2606.29492
AB - This work is concerned with the nonlinear information in the linear sampling method for the inverse medium scattering problem. In addition to the well-known capability in shape characterization, we demonstrate that the imaging indicator represents nonlinear information about the unknown contrast. We further demonstrate additional representations for this nonlinear information using the generalized linear sampling method. We shed light on this new result using the Born model and analytical examples.
ER -