activity
20232026
collaborators
Showing math.APShow all

5 papers · 1 filter

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.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.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.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…