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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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发表于 2025-3-21 18:01:29 | 显示全部楼层 |阅读模式
书目名称Gauge Invariance Approach to Acoustic Fields
编辑Woon Siong Gan
视频video
概述Covers both theory and experiments on wave propagation in metamaterials.Describes new formulations of acoustic fields in materials.Offers an essential reference guide for researchers and practitioners
图书封面Titlebook: Gauge Invariance Approach to Acoustic Fields;  Woon Siong Gan Book 2019 Springer Nature Singapore Pte Ltd. 2019 Covariant derivative.Global
描述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.   .
出版日期Book 2019
关键词Covariant derivative; Global gauge invariance; Time reversal symmetry; Global symmetry; Vector potential
版次1
doihttps://doi.org/10.1007/978-981-13-8751-7
isbn_softcover978-981-13-8753-1
isbn_ebook978-981-13-8751-7
copyrightSpringer Nature Singapore Pte Ltd. 2019
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发表于 2025-3-21 22:52:44 | 显示全部楼层
Gauge Fields,fields and gauge transformation, field strength and gauge fields are provided. Then, the role of gauge field in local gauge invariance is described. Gauge field and phase of the wave function are described. The verification of the physical effect of the gauge field by the Aharanov–Bohm effect is giv
发表于 2025-3-22 01:44:14 | 显示全部楼层
发表于 2025-3-22 06:34:42 | 显示全部楼层
Time Reversal Acoustics and Superresolution, following applications of time reversal acoustics are given to medical ultrasound imaging and to ultrasonic nondestructive testing. The application to nondestructive testing has the following coverage: theory of time reversal acoustics for liquid–solid interface, experimental implementation of the
发表于 2025-3-22 10:28:11 | 显示全部楼层
Negative Refraction, Acoustical Metamaterials and Acoustical Cloaking,ance of homogeneous electromagnetic wave equation, gauge invariance of acoustic field equation, acoustical cloaking, gauge invariance of nonlinear homogeneous acoustic wave equation; the discovery of negative refraction is a special case of coordinate transformations or a unified theory for negative
发表于 2025-3-22 14:43:59 | 显示全部楼层
New Acoustics Based on Metamaterials,ystals—the multiple scattering theory is provided with details of calculation and discussion of results. An alternative theory of negative refraction based on gauge invariance (coordinate transformations) is followed with the following coverage: gauge invariance as a unified theory of negative refra
发表于 2025-3-22 20:22:57 | 显示全部楼层
978-981-13-8753-1Springer Nature Singapore Pte Ltd. 2019
发表于 2025-3-22 22:03:24 | 显示全部楼层
,Über das Sogenannte Dirichlet’sche Princip,invariance principle in physics are described. The roles of Maxwell, V. Fock, Herman Weyl are provided. Then the Yang–Mills theory, the Glashow–Weinberg–Salam theory and Gell-mann’s theory are briefly introduced. Woon Siong Gan’s introduction of gauge invariance to acoustic fields equation is consid
发表于 2025-3-23 01:59:20 | 显示全部楼层
Ausgewählte Kapitel aus der Physikfields and gauge transformation, field strength and gauge fields are provided. Then, the role of gauge field in local gauge invariance is described. Gauge field and phase of the wave function are described. The verification of the physical effect of the gauge field by the Aharanov–Bohm effect is giv
发表于 2025-3-23 09:00:48 | 显示全部楼层
Ausgewählte Kapitel aus der Physiknly used: the unitary group of degree ., the special unitary group of degree ., the orthogonal group of degree n and special orthogonal group of degree .. Finally, the group properties of SO(n) with . ≥ 3 are stated.
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