Polarization and Moment Tensors

Polarization and Moment Tensors PDF Author: Habib Ammari
Publisher: Springer Science & Business Media
ISBN: 0387715665
Category : Mathematics
Languages : en
Pages : 320

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Book Description
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text.

Polarization and Moment Tensors

Polarization and Moment Tensors PDF Author: Habib Ammari
Publisher: Springer Science & Business Media
ISBN: 0387715665
Category : Mathematics
Languages : en
Pages : 320

Get Book Here

Book Description
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text.

Shape Optimization by the Homogenization Method

Shape Optimization by the Homogenization Method PDF Author: Gregoire Allaire
Publisher: Springer Science & Business Media
ISBN: 1468492861
Category : Technology & Engineering
Languages : en
Pages : 470

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Book Description
This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; a detailed treatment of structural optimization by using homogenization; a complete discussion of the resulting numerical algorithms with many documented test problems. It will be of interest to researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.

Nuclear Physics with Polarized Particles

Nuclear Physics with Polarized Particles PDF Author: Hans Paetz gen. Schieck
Publisher: Springer Science & Business Media
ISBN: 3642242251
Category : Science
Languages : en
Pages : 187

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Book Description
The measurement of spin-polarization observables in reactions of nuclei and particles is of great utility and advantage when the effects of single-spin sub-states are to be investigated. Indeed, the unpolarized differential cross-section encompasses the averaging over the spin states of the particles, and thus loses details of the interaction process. This introductory text combines, in a single volume, course-based lecture notes on spin physics and on polarized-ion sources with the aim of providing a concise yet self-contained starting point for newcomers to the field, as well as for lecturers in search of suitable material for their courses and seminars. A significant part of the book is devoted to introducing the formal theory—a description of polarization and of nuclear reactions with polarized particles. The remainder of the text describes the physical basis of methods and devices necessary to perform experiments with polarized particles and to measure polarization and polarization effects in nuclear reactions. The book concludes with a brief review of modern applications in medicine and fusion energy research. For reasons of conciseness and of the pedagogical aims of this volume, examples are mainly taken from low-energy installations such as tandem Van de Graaff laboratories, although the emphasis of present research is shifting to medium- and high-energy nuclear physics. Consequently, this volume is restricted to describing non-relativistic processes and focuses on the energy range from astrophysical energies (a few keV) to tens of MeV. It is further restricted to polarimetry of hadronic particles.

Tensors for Physics

Tensors for Physics PDF Author: Siegfried Hess
Publisher: Springer
ISBN: 331912787X
Category : Science
Languages : en
Pages : 449

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Book Description
This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.

Moment Tensor Solutions

Moment Tensor Solutions PDF Author: Sebastiano D'Amico
Publisher: Springer
ISBN: 3319773593
Category : Science
Languages : en
Pages : 751

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Book Description
This book first focuses on the explanation of the theory about focal mechanisms and moment tensor solutions and their role in the modern seismology. The second part of the book compiles several state-of-the-art case studies in different seismotectonic settings of the planet.The assessment of seismic hazard and the reduction of losses due to future earthquakes is probably the most important contribution of seismology to society. In this regard, the understanding of reliable determination seismic source and of its uncertainty can play a key role in contributing to geodynamic investigation, seismic hazard assessment and earthquake studies. In the last two decades, the use of waveforms recorded at local-to-regional distances has increased considerably. Waveform modeling has been used also to estimate faulting parameters of small-to-moderate sized earthquakes.

Anisotropy and Microseismics: Theory and Practice

Anisotropy and Microseismics: Theory and Practice PDF Author: Vladimir Grechka
Publisher: SEG Books
ISBN: 1560803746
Category : Science
Languages : en
Pages : 492

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Book Description
Takes readers on a path of discovery of rarely examined wave phenomena and their possible usage. Chapters begin by formulating a question, followed by explanations of what is exciting about it, where the mystery might lie, and what could be the potential value of answering the question.

Proceedings of the Second International Conference on Structural Stability and Dynamics

Proceedings of the Second International Conference on Structural Stability and Dynamics PDF Author: K. K. Ang
Publisher: World Scientific
ISBN: 9789812776228
Category : Technology & Engineering
Languages : en
Pages : 1090

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Book Description
ICSSD 2002 is the second in the series of International Conferences on Structural Stability and Dynamics, which provides a forum for the exchange of ideas and experiences in structural stability and dynamics among academics, engineers, scientists and applied mathematicians. Held in the modern and vibrant city of Singapore, ICSSD 2002 provides a peep at the areas which experts on structural stability and dynamics will be occupied with in the near future. From the technical sessions, it is evident that well-known structural stability and dynamic theories and the computational tools have evolved to an even more advanced stage. Many delegates from diverse lands have contributed to the ICSSD 2002 proceedings, along with the participation of colleagues from the First Asian Workshop on Meshfree Methods and the International Workshop on Recent Advances in Experiments and Computations on Modeling of Heterogeneous Systems. Forming a valuable source for future reference, the proceedings contain 153 papers OCo including 3 keynote papers and 23 invited papers OCo contributed by authors from all over the world who are working in advanced multi-disciplinary areas of research in engineering. All these papers are peer-reviewed, with excellent quality, and cover the topics of structural stability, structural dynamics, computational methods, wave propagation, nonlinear analysis, failure analysis, inverse problems, non-destructive evaluation, smart materials and structures, vibration control and seismic responses.The major features of the book are summarized as follows: a total of 153 papers are included with many of them presenting fresh ideas and new areas of research; all papers have been peer-reviewed and are grouped into sections for easy reference; wide coverage of research areas is provided and yet there is good linkage with the central topic of structural stability and dynamics; the methods discussed include those that are theoretical, analytical, computational, artificial, evolutional and experimental; the applications range from civil to mechanical to geo-mechanical engineering, and even to bioengineering."

Polarization and Correlation Phenomena in Atomic Collisions

Polarization and Correlation Phenomena in Atomic Collisions PDF Author: Vsevolod V. Balashov
Publisher: Springer Science & Business Media
ISBN: 1475732287
Category : Science
Languages : en
Pages : 251

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Book Description
Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course bridges the gap between traditional courses in quantum mechanics and practical investigations. The authors' goal is to guide students in training their ability to perform theoretical calculations of polarization and correlation characteristics of various processes in atomic collisions. The book provides a concise description of the density matrix and statistical tensor formalism and presents a general approach to the description of angular correlation and polarization phenomena. It illustrates an application of the angular momentum technique to a broad variety of atomic processes. The book contains derivations of the most important expressions for observable quantities in electron-atom and ion-atom scattering, including that for polarized beams and/or polarized targets, in photo-induced processes, autoionization and cascades of atomic transitions. Spin-polarization and angular distributions of the reaction products are described, including the angular correlations in different types of coincidence measurements. The considered processes exemplify the general approach and the number of examples can be easily extended by a reader. The book supplies researchers, both theoreticians and experimentalists with a collection of helpful formulae and tables, and can serve as a reference book. Based on a highly regarded course at Moscow State University and elsewhere, the book provides real guidance on theoretical calculations of practical use.

Nonlinear Optical Polarization Analysis in Chemistry and Biology

Nonlinear Optical Polarization Analysis in Chemistry and Biology PDF Author: Garth J. Simpson
Publisher: Cambridge University Press
ISBN: 1316797198
Category : Technology & Engineering
Languages : en
Pages : 499

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Book Description
This rigorous yet accessible guide presents a molecular-based description of nonlinear optical polarization analysis of chemical and biological assemblies. It includes discussion of the most common nonlinear optical microscopy and interfacial measurements used for quantitative analysis, specifically second harmonic generation (SHG), two-photon excited fluorescence (2PEF), vibrational sum frequency generation (SFG), and coherent anti-Stokes Raman spectroscopy/stimulated Raman spectroscopy (CARS/SRS). A linear algebra mathematical framework is developed, allowing step-wise systematic connections to be made between the observable measurements and the molecular response. Effects considered include local field corrections, the molecular orientation distribution, rotations between the molecular frame, the local frame and the laboratory frame, and simplifications from molecular and macromolecular symmetry. Specific examples are provided throughout the book, working from the common and relatively simple case studies through to the most general scenarios.

Tensor Polarization of the Deuteron at High Momentum Transfer in Elastic (e, D) Scattering

Tensor Polarization of the Deuteron at High Momentum Transfer in Elastic (e, D) Scattering PDF Author: Wenxia Zhao
Publisher:
ISBN:
Category :
Languages : en
Pages : 212

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Book Description