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.
General
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