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Gauge Invariance Approach to Acoustic Fields

  • Woon Siong Gan
Book

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Woon Siong Gan
    Pages 1-2
  3. Woon Siong Gan
    Pages 3-13
  4. Woon Siong Gan
    Pages 21-26
  5. Woon Siong Gan
    Pages 27-30
  6. Woon Siong Gan
    Pages 31-41
  7. Woon Siong Gan
    Pages 43-45
  8. Woon Siong Gan
    Pages 47-50
  9. Woon Siong Gan
    Pages 51-53
  10. Woon Siong Gan
    Pages 55-58
  11. Woon Siong Gan
    Pages 63-93
  12. Woon Siong Gan
    Pages 125-169

About this book

Introduction

This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials.
  
The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.   

Keywords

Covariant derivative Global gauge invariance Time reversal symmetry Global symmetry Vector potential Non-Abelian group symmetry Local gauge invariance Reflection Invariance Acoustic metamaterials Finite amplitude waves Acoustical imaging

Authors and affiliations

  • Woon Siong Gan
    • 1
  1. 1.Acoustical Technologies Singapore Pte Ltd.SingaporeSingapore

Bibliographic information

Industry Sectors
Aerospace
Engineering