Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 12 min ago
PreprintarXiv licencearXiv

Inverse Scattering of Periodic Surfaces with Multilayer Superlenses: Perturbation Analysis and Resolution Enhancement

  • Haoqiang Xiao
  • Guang-Hui Zheng
Open at sourcePDFDOICite

Abstract

This paper presents a rigorous mathematical analysis of inverse scattering for periodic surfaces through a multilayer superlens. Using the transformed field expansion, we derive a highly explicit reconstruction formula. We theoretically prove that under perfect matching, the reconstruction factor is independent of the number of layers and depends solely on the total material thicknesses, achieving uniform boundedness when the slab thickness dominates. By establishing first-order perturbation formulas and high-frequency asymptotics, we quantify how small material losses induce exponential amplification of high-frequency errors. Crucially, we show that increasing the number of layers substantially reduces this amplification coefficient. Consequently, for fixed total thicknesses, multilayer structures offer significantly improved stability and extended resolution limits for subwavelength reconstruction.

Related

  1. Fourier--Hankel Moment Recovery in Acoustic Scattering: Multichannel Stabilization and Radial Interface Resolution
    Zhiliang Deng, Xiaofei Guan, Xiaomei Yang
    arXivPreprintCC BY-NC-SA 4.0Full textNumerical analysis & scientific computingarXiv
  2. A Statistical Imaging Framework for Inverse Obstacle Scattering and Its Resolution Analysis
    Jinrui Zhang, Hai Zhang
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  3. A concentration result for multilayer feedforward neural networks
    Vera Koponen
    arXivPreprintarXiv licenceFull textLogic & foundationsProbabilityarXiv
  4. A latent space hidden Markov model for clustering views in longitudinal multilayer networks
    Cecilia Manente, Marco Alfò, Silvia D'Angelo
    arXivPreprintarXiv licenceFull textStatisticsarXiv
  5. Estimation of Linear Functionals in Multilayer Panels under Staggered Adoption
    Alberto Bordino, Thomas B. Berrett, Olga Klopp
    arXivPreprintCC BY 4.0Full textStatisticsarXiv

Cite

BibTeXRIS
BibTeX
@misc{xiao2026inverse,
  title = {{Inverse Scattering of Periodic Surfaces with Multilayer Superlenses: Perturbation Analysis and Resolution Enhancement}},
  author = {Haoqiang Xiao and Guang-Hui Zheng},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.38423},
  eprint = {2610.38423},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.38423},
}
RIS
TY  - UNPB
TI  - Inverse Scattering of Periodic Surfaces with Multilayer Superlenses: Perturbation Analysis and Resolution Enhancement
AU  - Haoqiang Xiao
AU  - Guang-Hui Zheng
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.38423
UR  - https://arxiv.org/abs/2610.38423
AB  - This paper presents a rigorous mathematical analysis of inverse scattering for periodic surfaces through a multilayer superlens. Using the transformed field expansion, we derive a highly explicit reconstruction formula. We theoretically prove that under perfect matching, the reconstruction factor is independent of the number of layers and depends solely on the total material thicknesses, achieving uniform boundedness when the slab thickness dominates. By establishing first-order perturbation formulas and high-frequency asymptotics, we quantify how small material losses induce exponential amplification of high-frequency errors. Crucially, we show that increasing the number of layers substantially reduces this amplification coefficient. Consequently, for fixed total thicknesses, multilayer structures offer significantly improved stability and extended resolution limits for subwavelength reconstruction.
ER  -