activity
20222026
most citedShape reconstructions by using plasmon resonances with enhanced sensitivity

4 citations · 5 across the 11 of their papers we have counts for

collaborators

12 papers

math.AP2026

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

Haoqiang Xiao, Guang-Hui Zheng

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…

math.NA2026

Vanishing Clutter: Fast and Accurate Shape Imaging via Active Cloaking

Haoqiang Xiao, Guang-Hui Zheng

Imaging a target sample in near-field scanning optical microscopy (NSOM) is fundamentally limited by measurement artifacts and data contamination from multiple probe-sample scatter…

math.AP2026

Quantitative symmetry-breaking and nonlinear harmonic generation in plasmonics

Hongyu Liu, Zhi-Qiang Miao, Jingfeng Yao +2

We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on seco…

math-ph2025

On surface polariton resonance and its curvature concentration effects from 3D elastic nanorods

Youjun Deng, Hongyu Liu, Wanjing Tang +1

This paper investigates surface polariton resonance (SPR) in three-dimensional elastic metamaterials with nanorod geometry. The primary motivation is to surpass the physical limita…

physics.flu-dyn2025

Microscale Hydrodynamic Cloaking via Geometry Design in a Depth-Varying Hele-Shaw Cell

Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

We theoretically and numerically demonstrate that hydrodynamic cloaking can be achieved by simply adjusting the geometric depth of a region surrounding an object in microscale flow…

math.AP2025

Hybridization theory for plasmon resonance in metallic nanostructures

Qi Lei, Hongyu Liu, Zhi-Qiang Miao +1

In this paper, we investigate the hybridization theory of plasmon resonance in metallic nanostructures, which has been validated by the authors in [31] through a series of experime…

math.NA2024

Determination and reconstruction of a semilinear term from point measurements

Yavar Kian, Hongyu Liu, Li-Li Wang +1

In this article we study the inverse problem of determining a semilinear term appearing in an elliptic equation from boundary measurements. Our main objective is to develop flexibl…

math.AP2024

Phaseless uniqueness for determining internal source in photo-thermal effect

Li-Ping Deng, Hongyu Liu, Zhi-Qiang Miao +1

The paper investigates an inverse problem of recovering the internal source from external temperature measurements in photo-thermal effect. The photo-thermal effect actually involv…

math.OC2024★ 1 cited

Determining internal topological structures and running cost of mean field games with partial boundary measurement

Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng

This paper investigates the simultaneous reconstruction of the running cost function and the internal topological structure within the mean-field games (MFG) system utilizing parti…

math.AP2024

Simultaneously Cloaking Electric and Hydrodynamic Fields via Electro-osmosis

Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

In this paper, we develop a general mathematical framework for the electro-osmosis problem to design simultaneous microscale electric and hydrodynamic cloaking in a Hele-Shaw confi…

math.AP2023

Enhanced Microscale Hydrodynamic Near-cloaking using Electro-osmosis

Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

In this paper, we develop a general mathematical framework for enhanced hydrodynamic near-cloaking of electro-osmotic flow for more complex shapes, which is obtained by simultaneou…

math-ph2022★ 4 cited

Shape reconstructions by using plasmon resonances with enhanced sensitivity

M. H. Ding, H. Y. Liu, G. H. Zheng

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is…