Showing 2026Show all
3 papers · 1 filter
math.NA2026
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…
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-ph2026
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…