Wave localization in the subwavelength regime
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Date
2025
Publication Type
Doctoral Thesis
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Abstract
The manipulation and localization of waves at subwavelength scales is driving transformative advances in nanotechnology. This thesis explores three key aspects of this phenomenon.
First, we present a capacitance matrix approximation for analyzing subwavelength resonances in nonlinear materials within the high-contrast subwavelength regime.
Second, we examine wave localization phenomena in infinite periodic materials with defects, focusing on the behavior of defect-mode eigenfrequencies under varying material parameters. We also present a material design approach for the localization of waves at specific frequencies. Additionally, we investigate interface modes in one-dimensional metamaterials, which are acoustic wave analogues of the Su-Schrieffer-Heeger model.
Third, we study Floquet (time-modulated) metamaterials. We develop a new asymptotic theory for Floquet exponents of Floquet metamaterials and analyze the occurrence of asymptotic exceptional points. Furthermore, being interested in the occurrence of topological edge modes in the case of time-modulated metamaterials, we derive a new topological classification of time-dependent Floquet metamaterials.
We believe that these studies contribute to a deeper understanding of wave behavior at subwavelength scales and their potential applications in nanotechnology and materials science.
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Examiner : Ammari, Habib
Examiner : Hiltunen, Erik Orvehed
Examiner : Zhu, Yi
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ETH Zurich
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wave localization
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09504 - Ammari, Habib / Ammari, Habib