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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…