Shape reconstructions by using plasmon resonances with enhanced sensitivity

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number112131
Journal / PublicationJournal of Computational Physics
Volume486
Online published11 Apr 2023
Publication statusPublished - 1 Aug 2023

Abstract

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel reconstruction scheme of using plasmon resonances with significantly enhanced sensitivity and resolution. First, by spectral analysis we establish a sharp quantitative relationship between the sensitivity of the reconstruction and the plasmon resonance. It shows that the sensitivity functional blows up when plasmon resonance occurs. Hence, the signal to noise ratio is significantly improved and the robustness and effectiveness of the reconstruction are ensured. Second, a variational regularization method is proposed to overcome the ill-posedness, and an alternating iteration method is introduced to automatically select the regularization parameters. Third, we use Laplace approximation method to capture the statistical information of the target scattering object. Both rigorous theoretical analysis and extensive numerical experiments are conducted to validate the promising features of our method. © 2023 Elsevier Inc.

Research Area(s)

  • Alternating iteration, Laplace approximation, Plasmon resonance, Sensitivity analysis, Shape reconstruction

Citation Format(s)

Shape reconstructions by using plasmon resonances with enhanced sensitivity. / Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui.
In: Journal of Computational Physics, Vol. 486, 112131, 01.08.2023.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review