5 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…