Download eBook Free: https://ouo.io/1M9s6I Gauge Invariance Approach to Acoustic Fields By: Woon Siong Gan Publisher: Springer Print ISBN: 9789811387500, 9811387508 eText ISBN: 9789811387517, 9811387516 Copyright year: 2019 Format: EPUB Available from $ 159.00 USD SKU 9789811387517 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.