Titlebook: Gauge Invariance Approach to Acoustic Fields; Woon Siong Gan Book 2019 Springer Nature Singapore Pte Ltd. 2019 Covariant derivative.Global

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essential reference guide for researchers and practitionersThis 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

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History of Gauge Theory,ered as a milestone in the theory of gauge invariance in physics. The gauge invariance in acoustic field equation in curvilinear spacetime and the application of gauge invariance to gravitational wave are briefly introduced.

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Book 2019inate 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.? ?.

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https://doi.org/10.1007/978-3-322-85400-1 density and negative bulk modulus is described. Then, there is acoustical cloaking based on nonlinear coordinate transformations. Acoustical cloaking of underwater objects and extension of double negativity to nonlinear acoustics are also provided.

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Book 2010ke the aggressor. What explains such perseverance? This research is based on vast documentation collected in Israel as well as on more than 60 in-depth interviews with officers and simple soldiers, senior counterterrorism officials, politicians, journalists and NGOs.