4 citations · 5 across the 10 of their papers we have counts for
10 papers
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…
Inverse Random Source Problem for the Helmholtz Equation from Statistical Phaseless Data
Qiao-Ping Chen, Hongyu Liu, Zejun Sun +2
This paper investigates the problem of reconstructing a random source from statistical phaseless data for the two-dimensional Helmholtz equation. The major challenge of this proble…
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…
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…
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…
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…
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…
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…
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…
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…