80 citations · 85 across the 4 of their papers we have counts for
4 papers
Complex Band Structure and Bound States in the Continuum: A Unified Theoretical Framework
Jie Liu, Ziyun Peng, Qianju Song +4
Band structure analysis is central to understanding wave propagation in periodic media; however, it becomes challenging in open systems owing to energy leakage. Photonic crystal (P…
Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory
Matthias Ehrhardt, Chunxiong Zheng
We propose a novel approach to simulate the solution of the time-dependent Schrödinger equation with a general variable potential. The key idea is to approximate the Titchmarsh-Wey…
Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media
Bo Gong, Jiguang Sun, Tiara Turner +1
The transmission eigenvalue problem arises from the inverse scattering theory for inhomogeneous media and has important applications in many qualitative methods. The problem is pos…
A time-splitting spectral scheme for the Maxwell-Dirac system
Zhongyi Huang, Shi Jin, Peter Markowich +2
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the…