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math.SP2026
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…
math.SP2025
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…