activity
20142026
most citedMathematical theory for topological photonic materials in one dimension

32 citations · 53 across the 15 of their papers we have counts for

collaborators

15 papers

math.NA2026

A Multi-Level Machine Learning Framework for Inverse Scattering Problems with Multi-Frequency Data

Yi Liu, Yanzhao Cao, Junshan Lin +1

In this work, we propose a multi-level machine learning framework for solving inverse scattering problems with multi-frequency data. The multi-level neural network is built along t…

math-ph2023★ 3 cited

Mathematical theory for the interface mode in a waveguide bifurcated from a Dirac point

Jiayu Qiu, Junshan Lin, Peng Xie +1

In this paper, we prove the existence of a bound state in a waveguide that consists of two semi-infinite periodic structures separated by an interface. The two periodic structures…

math.AP2022

Dirac points for the honeycomb lattice with impenetrable obstacles

Wei Li, Junshan Lin, Hai Zhang

This work is concerned with the Dirac points for the honeycomb lattice with impenetrable obstacles arranged periodically in a homogeneous medium. We consider both the Dirichlet and…

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…

math.NA2021★ 5 cited

An adaptive boundary element method for the transmission problem with hyperbolic metamaterials

Junshan Lin

In this work we present an adaptive boundary element method for computing the electromagnetic response of wave interactions in hyperbolic metamaterials. One unique feature of hyper…

math-ph2021★ 32 cited

Mathematical theory for topological photonic materials in one dimension

Junshan Lin, Hai Zhang

This work presents a rigorous theory for topological photonic materials in one dimension. The main focus is on the existence and stability of interface modes that are induced by to…