activity
20162026
most citedPerfectly-matched-layer boundary integral equation method for wave scattering in a layered medium

32 citations · 47 across the 14 of their papers we have counts for

collaborators

15 papers

math.NA2026

Convergence of the PML-BIE Method for Acoustic Scattering in an Impedance Half-Space

Wangtao Lu

The perfectly matched layer-based boundary integral equation (PML-BIE) method (Lu et al., \emph{SIAM J. Appl. Math.} 78 (2018)) has become an effective tool for wave scattering pro…

math-ph2025

Existence of Friedrich-Wintgen Bound States in the Continuum: Cavity with a Thin Waveguide Opening

Jiaxin Zhou, Wangtao Lu, Ya Yan Lu

Bound states in the continuum (BICs) are localized states embedded within a continuum of propagating waves. Perturbations that disrupt BICs typically induce ultra-strong resonances…

math.NA2022

On exact truncation of backward waves in elastrodynamics

Wangtao Lu

For elastic wave scattering problems in unbounded anisotropic media, the existence of backward waves makes classic truncation techniques fail completely. This paper is concerned wi…

math.NA2022

A highly accurate perfectly-matched-layer boundary integral equation solver for acoustic layered-medium problems

Wangtao Lu, Liwei Xu, Tao Yin +1

Based on the perfectly matched layer (PML) technique, this paper develops a high-accuracy boundary integral equation (BIE) solver for acoustic scattering problems in locally defect…

physics.optics2022★ 11 cited

Parametric dependence of bound states in the continuum: a general theory

Amgad Abdrabou, Lijun Yuan, Wangtao Lu +1

Photonic structures with high- resonances are essential for many practical applications, and they can be relatively easily realized by modifying ideal structures with bound stat…

math-ph2022

Mathematical theory for electromagnetic scattering resonances and field enhancement in a subwavelength annular gap

Junshan Lin, Wangtao Lu, Hai Zhang

This work presents a mathematical theory for electromagnetic scattering resonances in a subwavelength annular hole embedded in a metallic slab, with the annulus width . The…