Term of Award
Fall 2024
Degree Name
Master of Science, Mechanical Engineering
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mechanical Engineering
Committee Chair
Hossain Ahmed
Committee Member 1
Aniruddha Mitra
Committee Member 2
Hayri Sezer
Committee Member 3
Md Riaz uddin Ahmed
Abstract
This study presents a novel approach to investigate an exceptionally rare acoustic phenomenon – topologically protected wave propagation (TPWP) within a solid-solid domain. While previous research has attempted to unravel the physics behind this phenomenon, most efforts have been grounded in the framework of condensed matter physics and quantum mechanics often requiring complex geometries to realize TPWP in solid-fluid interactions. In contrast, this thesis introduces a geometric tuning method that enables the achievement of TPWP with simpler geometric configurations within a solid-solid domain. Rather than explaining by the quantum trio - quantum anomalous hall effect, quantum valley hall effect, and quantum spin hall effect, this work utilizes fundamental physical concepts of acoustic metamaterials, such as band structures, mode shapes, and acoustic pressure distribution. Through systematic tuning of 286 unit-cell geometries, several Dirac-like cones were identified, providing the foundation for the search for TPWP. Detailed analysis of the mode shapes of the top band, deaf band, and bottom band at Dirac-like points revealed the conditions under which TPWP could be expected and confirmed through frequency domain simulations. Additionally, an alternative unit cell with similar mode shape features was investigated to validate the findings. The study further identifies the opening and closing of the top and bottom bands at the Γ-point as a key factor influencing the emergence of TPWP. These insights offer a new pathway to understanding and achieving topologically protected wave propagation in simple solid-solid meta structures, with potential implications for rigorous wave manipulation technologies.
OCLC Number
1478253965
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916599550502950
Recommended Citation
Indaleeb, Mustahseen M, and Sourav Banerjee. 2024. "Spin resolved topological bulk state in acoustics." Scientific Reports 14 (1):3213.
Research Data and Supplementary Material
No
