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20152021
most citedBoundary Integral Equations for the Transmission Eigenvalue Problem for Maxwell Equations

3 citations · 5 across the 6 of their papers we have counts for

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math.AP2020

The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity

Fang Zeng, Shixu Meng

In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields…

math.AP2020

On the spectral asymptotics of waves in periodic media with Dirichlet or Neumann exclusions

Othman Oudghiri-Idrissi, Bojan B. Guzina, Shixu Meng

We consider homogenization of the scalar wave equation in periodic media at finite wavenumbers and frequencies, with the focus on continua characterized by: (a) arbitrary Bravais l…

math.AP2020

A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term

Shixu Meng, Othman Oudghiri-Idrissi, Bojan B. Guzina

We pursue a low-wavenumber, second-order homogenized solution of the time-harmonic wave equation at both low and high frequency in periodic media with a source term whose frequency…

math.AP2019

Factorization method versus migration imaging in a waveguide

Liliana Borcea, Shixu Meng

We present a comparative study of two qualitative imaging methods in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and contains unknown obstacles…

math.AP2018

A rational framework for dynamic homogenization at finite wavelengths and frequencies

Bojan Guzina, Shixu Meng, Othman Oudghiri-Idrissi

In this study, we establish an inclusive paradigm for the homogenization of scalar wave motion in periodic media (with or without the source term) at finite frequencies and wavelen…

math.AP2018

Leading and second order homogenization of an elastic scattering problem for highly oscillating anisotropic medium

Yi-Hsuan Lin, Shixu Meng

We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant…