Download or read book Multiple Scattering of Acoustic Electromagnetic and Elastic Waves written by Vijay K. Varadan and published by . This book was released on 1979 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article we present a multiple scattering analysis of the coherent wave propagation through an inhomogeneous medium consisting of either random or periodic distribution of scatterers of arbitrary shape. Both specific and random orientations of the scatterers are considered. The mathematical unity inherently present in the T-matrix formalism for the three wave fields, namely acoustic, electromagnetic and elastic, is employed in conjunction with suitable averaging procedures to formulate a self-consistent multiple scattering theory. For a random distribution of scatterers we use a configurational averaging procedure, while for a periodic distribution, we use a suitable lattice sum based on crystallographic theory. The information about the orientation of the scatterers has been incorporated into the T-matrix of the scatterer itself thus making formalism a convenient computational scheme to study the anisotropic effects in an inhomogeneous medium. The statistically averaged equations obtained by the analysis are then solved by using Lax's quasicrystalline approximation to obtain the bulk or effective properties of the medium. Numerical results are presented for propagation speeds, attenuation and frequency dependent elastic properties for a range of frequencies to demonstrate the broad applicability of the T-matrix method. (Author).

Download or read book Acoustic Electromagnetic and Elastic Wave Scattering focus on the T matrix Approach written by V. K. Varadan and published by Pergamon. This book was released on 1980 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Aspects of Electromagnetic and Acoustic Wave Diffusion written by Groupement de Recherche POAN (France) and published by Springer. This book was released on 1998-05-07 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple scattering of waves is a rapidly growing field with many applications. The research group "Propagation of Waves in Disordered and/or Nonlinear Media" POAN brought together experts from different disciplines to write this review which covers applied mathematics, optics, acoustics, remote sensing, and seismology.

Download or read book Wave Scattering in Complex Media From Theory to Applications written by Bart A. van Tiggelen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of lectures on a variety of modern subjects in wave scattering, including fundamental issues in mesoscopic physics and radiative transfer, recent hot topics such as random lasers, liquid crystals, lefthanded materials and time-reversal, as well as modern applications in imaging and communication. There is a strong emphasis on the interdisciplinary aspects of wave propagation, including light and microwaves, acoustic and elastic waves, propagating in a variety of "complex" materials (liquid crystals, media with gain, natural media, magneto-optical media, photonic and phononic materials, etc.). It addresses many different items in contemporary research: mesoscopic fluctuations, localization, radiative transfer, symmetry aspects, and time-reversal. It also discusses new (potential) applications in telecommunication, soft matter and imaging.

Download or read book Scattering and Attenuation of Seismic Waves Part II written by WU and published by Birkhäuser. This book was released on 2013-11-21 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 4

Download or read book Multiple Scattering written by P. A. Martin and published by Cambridge University Press. This book was released on 2006-08-03 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description

Download or read book Acoustic Electromagnetic and Elastic Wave Scattering written by Vijay K. Varadan and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Radiation and Scattering of Waves written by Adrianus T. de Hoop and published by . This book was released on 1995-01-01 with total page 1085 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Radiation and Scattering of Waves is a self-contained, medium-level handbook on the time-domain and complex frequency domain radiation and scattering of elastic waves in solids, electromagnetic waves and acoustic waves in fluids. The emphasis is placed on reciprocity as a basic concept for developing the methodology of handling forward (direct) and inverse sources and scattering problems. Using international nomenclature, the text presents a consistent use of the subscript notation for vectors and tensors enabling an effortless transcription of the mathematical expressions into statements in any high-level programming language (i.e., FORTRAN 77 or FORTRAN 90) or in symbolic manipulation programs such as Mathematica (r). Carefully selected exercises, with answers, are provided at the end of each section. This handbook assumes the reader has a knowledge of elementary mechanics and differential calculus, as well as a grasp of Laplace and Fourier transformation methods. Displays a consistent use of vectors and tensors Covers time domain analysis Covers fundamentals of elastic wave motion in solids Explains derivation of the basic equations of elastodynamics Develops time-domain methods side-by-side with complex frequency domain methods Facilitates easy transcription of mathematical expressions into statements in any high-level programming language such as FORTRAN 77 or FORTRAN 99, or in symbolic manipulation programs like Mathematica(r) through consistent use of subscript notation for vectors and tensors

Download or read book Scattering of Acoustic and Elastic Waves by Surfaces of Arbitrary Shape written by Robert Peter Banaugh and published by . This book was released on 1962 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elastic Waves in Random Media written by Serge A. Shapiro and published by Springer. This book was released on 1999 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats various generalizations of the classical O'Doherty-Anstey formula in order to describe stratigraphic filtering effects. These are the effects that can be observed when elastic and electromagnetic waves propagate through multilayered structures. Our aim was to treat this topic in a comprehensive manner and present compact results in a didactically simple way, emphasizing the physics of the wave-propagation phenomena. We do not claim mathematical rigidity in all our derivations, however, we are pleased to have obtained quite simple descriptions of scattering, transmission and reflection of wavefields in acoustic, elastic, and poroelastic media which can be useful for various seismological and non-seismological applications.

Download or read book Acoustic and Elastic Multiple Scattering and Radiation from Cylindrical Structures written by Feruza Abdukadirovna Amirkulova and published by . This book was released on 2014 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple scattering (MS) and radiation of waves by a system of scatterers is of great theoretical and practical importance and is required in a wide variety of physical contexts such as the implementation of ``invisibility" cloaks, the effective parameter characterization, and the fabrication of dynamically tunable structures, etc. The dissertation develops fast, rapidly convergent iterative techniques to expedite the solution of MS problems. The formulation of MS problems reduces to a system of linear algebraic equations using Graf's theorem and separation of variables. The iterative techniques are developed using Neumann expansion and Block Toeplitz structure of the linear system; they are very general, and suitable for parallel computations and a large number of MS problems, i.e. acoustic, elastic, electromagnetic, etc., and used for the first time to solve MS problems. The theory is implemented in Matlab and FORTRAN, and the theoretical predictions are compared to computations obtained by COMSOL. To formulate the MS problem, the transition matrix is obtained by analyzing an acoustic and an elastic single scattering of incident waves by elastic isotropic and anisotropic solids. The mathematical model of wave scattering from multilayered cylindrical and spherical structures is developed by means of an exact solution of dynamic 3D elasticity theory. The recursive impedance matrix algorithm is derived for radially heterogeneous anisotropic solids. An explicit method for finding the impedance in piecewise uniform, transverse-isotropic material is proposed; the solution is compared to elasticity theory solutions involving Buchwald potentials. Furthermore, active exterior cloaking devices are modeled for acoustic and elastic media using multipole sources. A cloaking device can render an object invisible to some incident waves as seen by some external observer. The active cloak is generated by a discrete set of multipole sources that destructively interfere with an incident wave to produce zero total field over a finite spatial region. The approach precisely determines the necessary source amplitudes and enables a cloaked region to be determined using Graf's theorem. To apply the approach, the infinite series of multipole expansions are truncated, and the accuracy of cloaking is studied by modifying the truncation parameter.

Download or read book Multiple Scattering in Solids written by Antonios Gonis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.

Download or read book Elastic Scattering of Electromagnetic Radiation written by Subodh Kumar Sharma and published by CRC Press. This book was released on 2018-01-29 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The technique of elastic scattering of electromagnetic radiation has been used as a diagnostic tool in various disciplines of science,engineering,medicine and agriculture.The investigations relating to above problems may be divided in three categories:(i)Scattering by a single particle,(ii)Scattering by a tenuous system of uncorrelated scatterers and (iii)Scattering by a concentrated dispersion of scatterers.In the proposed book,the primary effort is to examine the analytic solutions of the scattering problems of types (i) and (ii) in diverse backgrounds.For the completeness of the book,analytic solutions in scattering situations of type (iii) are also covered in reasonable details.

Download or read book Multiple Scattering of Waves in Random Media and Random Rough Surfaces written by V. V. Varadan and published by Technomic Publishing Company. This book was released on 1987 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Light Scattering by Systems of Particles written by Adrian Doicu and published by Springer. This book was released on 2006-10-19 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of the null-field method (also called T-matrix method), covering almost all aspects and current applications. This book also incorporates FORTRAN programs and simulation results. Worked examples of the application of the FORTRAN programs show readers how to adapt or modify the programs for their specific application.

Download or read book Electromagnetic And Acoustic Scattering Detection And Inverse Problems Proceedings Of The Conference written by Claude Bourrely and published by World Scientific. This book was released on 1989-03-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Light Scattering Problems in Astrophysics (J M Perrin)Surface Integral Operators and their Use in Acoustics and Electromagnetics (A Berthon)Acoustic Diffraction by Slender Bodies of Arbitrary Shape (M Tran-Van-Nhieu)High and Low Energy Approximations for the Electromagnetic Scattering by Irregular Objects (B Torresani)Electromagnetic Scattering and Mutual Interactions Between Closely Spaced Spheroids (J Dalmas & R Deleuil)Acoustical Imaging of 2D Fluid Targets Buried in a Half Space: A Diffraction Tomography Approach Using Line-Sources Insonification (B Duchene et al)Contribution of Radar Polarimetry in Radar Target Discrimination. The “Poincaré Planisphere”: a New Representation Method (E Pottier)Electromagnetic and Acoustic Waves in Random Media: from Propagation to Anderson Localization (B Souillard)Weak Disorder: Homogeneisation Method and Propagation (C Bardos)Coherent Propagation of Surface Acoustic Waves in Quasi-Periodic and Random Arrays of Grooves (D Sornette et al)On Asymptotic Behaviour of Waves States in Random Media (F Bentosela & R Rodriguez)A Study of Acoustic Transmission of Transient Signal in a Inhomogeneous Medium with the Help of a Wavelet Transform. Application to an Air-Water Plane Interface (G Saracco & Ph Tchamitchian)Three-Dimensional Impedance Scattering Theory (P Sabatier)Survey of Optimization Algorithms Applied to Inverse Problems (A Roger)A Linearized Inverse Problem: Acoustic Impedance Tomography of Biological Media (J P Lefebvre)and others Readership: Electrical engineers and mathematicians.

Download or read book Waves and Imaging through Complex Media written by P. Sebbah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in wave propagation in random media are certainly consequences of new approaches to fundamental issues, as well as of a strong interest in potential applications. A collective effort has been made to present in this book the state of the art in fundamental concepts, as well as in biomedical imaging techniques. As an example, the recent introduction of wave chaos, and more specifically random matrix theory - an old tool from nuclear physics - to the study of multiple scattering, has pointed the way to a deeper understanding of wave coherence in complex media. At the same time, efficient new approaches for retrieving information from random media promise to allow wave imaging of small tumors in opaque tissues. Review chapters are written by experts in the field, with the aim of making the book accessible to the widest possible scientific audience: graduate students and research scientists in theoretical and applied physics, optics, acoustics, and biomedical physics.