7 papers
Waveguiding in systems of high contrast resonators: Theory and fast computations
Habib Ammari, Bowen Li, Borui Miao +2
In this work, we study guided modes in systems of high-contrast resonators near nonzero interior Neumann frequencies, beyond the subwavelength regime. In the regular exterior regim…
Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators
Habib Ammari, Borui Miao, Jiayu Qiu
This paper develops, analyzes, and validates a fast algorithm for computing guided modes within bent interfaces and non-periodic defects in high-contrast resonator crystals, where…
A Tight-binding Approach for Computing Subwavelength Guided Modes in Crystals with Line Defects
Habib Ammari, Erik Orvehed Hiltunen, Ping Liu +2
In this paper, we develop a framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physic…
Pseudo-magnetic Fields and Effective Dynamics in Strained Honeycomb Structures
Chengyu Zhang, Borui Miao, Yi Zhu
Strain offers an effective method for generating pseudo-magnetic fields in optical and acoustic materials, thereby enabling precise manipulation of wave propagation. In this articl…
Zero-energy Edge States of Tight-Binding Models for Generalized Honeycomb-Structured Materials
Borui Miao, Yi Zhu
Generalized honeycomb-structured materials have received increasing attention due to their novel topological properties. In this article, we investigate zero-energy edge states in…
Generalized Honeycomb-structured Materials in the Subwavelength Regime
Borui Miao, Yi Zhu
Honeycomb structures lead to conically degenerate points on the dispersion surfaces. These spectral points, termed as Dirac points, are responsible for various topological phenomen…
A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform
Borui Miao, Giovanni Russo, Zhennan Zhou
In this article, we develop and analyse a new spectral method to solve the semi-classical Schrödinger equation based on the Gaussian wave-packet transform (GWPT) and Hagedorn's sem…