[89] C. Ben Amar & C. Hazard, Time reversal and scattering theory for time-dependent acoustic waves in a homogeneous medium. IMA J. Appl. Math. 76 (2011) 938–955. Cited: p. 11. [90] C.L. Bennett & H. Mieras, Time domain integral ...

Author: P. A. Martin

Publisher: Cambridge University Press

ISBN: 9781108880749

Category: Mathematics

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The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers.

The first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.

Author: P. A. Martin

Publisher: Cambridge University Press

ISBN: 9781108835596

Category: Mathematics

Page: 265

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The first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.

310 7 Explicit Marching-on-in-time Solvers for Second-kind Time Domain Integral Equations Numerical results demonstrate that the explicit MOT ... Time-domain BIE analysis of large three-dimensional electromagnetic scattering problems.

Author: Qiang Ren

Publisher: John Wiley & Sons

ISBN: 9781119808374

Category: Science

Page: 724

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Discover state-of-the-art time domain electromagnetic modeling and simulation algorithms Advances in Time-Domain Computational Electromagnetic Methods delivers a thorough exploration of recent developments in time domain computational methods for solving complex electromagnetic problems. The book discuses the main time domain computational electromagnetics techniques, including finite-difference time domain (FDTD), finite-element time domain (FETD), discontinuous Galerkin time domain (DGTD), time domain integral equation (TDIE), and other methods in electromagnetic, multiphysics modeling and simulation, and antenna designs. The book bridges the gap between academic research and real engineering applications by comprehensively surveying the full picture of current state-of-the-art time domain electromagnetic simulation techniques. Among other topics, it offers readers discussions of automatic load balancing schemes for DG DG-FETD/SETD methods and convolution quadrature time domain integral equation methods for electromagnetic scattering. Advances in Time-Domain Computational Electromagnetic Methods also includes: Introductions to cylindrical, spherical, and symplectic FDTD, as well as FDTD for metasurfaces with GSTC and FDTD for nonlinear metasurfaces Explorations of FETD for dispersive and nonlinear media and SETD-DDM for periodic/quasi-periodic arrays Discussions of TDIE, including explicit marching-on-in-time solvers for second-kind time domain integral equations, TD-SIE DDM, and convolution quadrature time domain integral equation methods for electromagnetic scattering Treatments of deep learning, including time domain electromagnetic forward and inverse modeling using a differentiable programming platform Ideal for undergraduate and graduate students studying the design and development of various kinds of communication systems, as well as professionals working in these fields, Advances in Time-Domain Computational Electromagnetic Methods is also an invaluable resource for those taking advanced graduate courses in computational electromagnetic methods and simulation techniques.

Electromagnetic scattering has been an interesting problem since the earliest days of electromagnetic research. ... item needed is a suitable fast Fourier transform (FFT) computer code if frequency domain scattering results are desired.

Author: Karl S. Kunz

Publisher: CRC Press

ISBN: 9781351410489

Category: Science

Page: 464

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The Finite-Difference Time-domain (FDTD) method allows you to compute electromagnetic interaction for complex problem geometries with ease. The simplicity of the approach coupled with its far-reaching usefulness, create the powerful, popular method presented in The Finite Difference Time Domain Method for Electromagnetics. This volume offers timeless applications and formulations you can use to treat virtually any material type and geometry. The Finite Difference Time Domain Method for Electromagnetics explores the mathematical foundations of FDTD, including stability, outer radiation boundary conditions, and different coordinate systems. It covers derivations of FDTD for use with PEC, metal, lossy dielectrics, gyrotropic materials, and anisotropic materials. A number of applications are completely worked out with numerous figures to illustrate the results. It also includes a printed FORTRAN 77 version of the code that implements the technique in three dimensions for lossy dielectric materials. There are many methods for analyzing electromagnetic interactions for problem geometries. With The Finite Difference Time Domain Method for Electromagnetics, you will learn the simplest, most useful of these methods, from the basics through to the practical applications.

and taking the square of the magnitude of the result, the scattered intensity as a function of time at θ = 150° is obtained, ... Time-Domain. Scattering. and. the. Ray. Limit. of. the. Debye. Series. The time-domain results in Fig.

Author: Alexander Kokhanovsky

Publisher: Springer

ISBN: 9783662495384

Category: Science

Page: 509

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This is the eleventh volume in the series Light Scattering Reviews, devoted to current knowledge of light scattering problems and both experimental and theoretical research techniques related to their solution. The focus of this volume is to describe modern advances in radiative transfer and light scattering optics. This book brings together the most recent studies on light radiative transfer in the terrestrial atmosphere, while also reviewing environmental polarimetry. The book is divided into nine chapters: • the first four chapters review recent advances in modern radiative transfer theory and provide detailed descriptions of radiative transfer codes (e.g., DISORT and CRTM). Approximate solutions of integro-differential radiative transfer equations for turbid media with different shapes (spheres, cylinders, planeparallel layers) are detailed; • chapters 5 to 8 focus on studies of light scattering by single particles and radially inhomogeneous media; • the final chapter discusses the environmental polarimetry of man-made objects.

[42] W.A.van Cappellen, R.V.de Jongh, L.P.Ligthart, “Potentials of Ultra-Short-Pulse Time-Domain Scattering Measurements”, IEEE Antennas and Propagation Magazine, vol. 42, no. 4, Aug. 2000. [43] E.Pancera, A.Bhattacharya, E.Veshi, ...

Author: Elena Pancera

Publisher: KIT Scientific Publishing

ISBN: 9783866444171

Category: Technology (General)

Page: 200

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In this work new methods and criteria for the analysis of Ultra Wideband (UWB) components and systems are introduced. This permit to have a deeper insight into the component characteristics like signal distortion, ringing and dispersion, introduced by the non-ideal behavior of the UWB components over the wide frequency band. The developed analyses are the basis for correction and optimization strategies for the features of the UWB components and systems, compensating for their non-idealities.

Author: Brian L. Browning

Publisher:

ISBN: OCLC:43001609

Category: Wave equation

Page: 141

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S. M. Rao and T. K. Sarkar, “An efficient method to evaluate the time-domain scattering from arbitrarily shaped conducting bodies,” Microwave Opt. Tech. Lett., vol. 17, 321–325, 1998. 86. D. Jiao, M. Lu, E. Michielssen, and J. M. Jin, ...

Author: Jian-Ming Jin

Publisher: John Wiley & Sons

ISBN: 9781118842027

Category: Science

Page: 800

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A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.

Analysis of Results in Time Domain In this section we analyze time domain scattering from three types of targets. The first target is a very thin aluminum spherical shell chosen because only the So waves are present with a fairly ...

Author: Ardéshir Guran

Publisher: World Scientific

ISBN: 9789814497817

Category: Science

Page: 444

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The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner–Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details. A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects. Contents:Three Dimensional Underwater Sound Propagation Over Sloping Bottoms (S A L Glegg & J M Riley)Modeling of Sound Propagation Over a Shear-Supporting Sediment Layer and Substrate (J I Arvelo et al.)Propagation of Acoustic Pulses in Layered Media (P P Delsanto et al.)Response of a Vibrating Structure to a Turbulent Flow Wall Pressure: Fluid-Loaded Structure Modes Series and Boundary Element Method (P J T Filippi & D Mazzoni)Plane Evanescent Waves and Interface Waves (F Luppé et al.)Application of Wavelet Analysis to Inverse Scattering (W Tobocman)Application of Time-Frequency Analysis to the Characterization of Acoustical Scattering (M E Zakharia et al.)Acoustical Resonance Scattering Theory for Strongly Overlapping Resonances (H Peine & D Guicking)Inverse Scattering Based on the Resonances of the Target (P P Delsanto et al.)Modern Developments in the Theory and Application of Classical Scattering (M F Werby & N A Sidorovskaia)Modeling and Ultrasonic Measurements of Damage (A Gérard)Some Aspects of Nonlinear Wave Propagation (A Jeffrey) Readership: Nonlinear scientists. keywords: “… Überall's work in acoustic and electromagnetic scattering has evoked much interest, in the US as well as abroad, because of its possible practical applications, as well as the theoretical understanding. Many collaborators have been inspired by it, and have now contributed to this volume. The book is an excellent contribution to the literature of Acoustics and Wave Propagation. Professor Guran is to be congratulated for organizing and editing this volume.” Prof. Hans A Bethe Nobel Laureate Cornell University “This highly interesting collection of papers makes a valuable addition to the acoustics literature.” Applied Acoustics “… This is an impressive collection of 45 research and review chapters involving 78 authors. Taking into account the high educational quality and research value of this set of books, it is recommended for purchase by libraries that serves research programs involved with acoustic scattering related to underwater and ultrasonics.” Professor Philip Marston Journal of the Acoustical Society of America

Subsequent to that time, the tech— nique has been refined and automated [4—10]. This section will describe the basic operating principle of a typical time domain scattering range [7]. All of the time domain scattering ranges have been ...

Author: Piergiorgio Uslenghi

Publisher: Elsevier

ISBN: 9780323142434

Category: Science

Page: 812

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Electromagnetic Scattering is a collection of studies that aims to discuss methods, state of the art, applications, and future research in electromagnetic scattering. The book covers topics related to the subject, which includes low-frequency electromagnetic scattering; the uniform asymptomatic theory of electromagnetic edge diffraction; analyses of problems involving high frequency diffraction and imperfect half planes; and multiple scattering of waves by periodic and random distribution. Also covered in this book are topics such as theories of scattering from wire grid and mesh structures; the electromagnetic inverse problem; computational methods for transmission of waves; and developments in the use of complex singularities in the electromagnetic theory. Engineers and physicists who are interested in the study, developments, and applications of electromagnetic scattering will find the text informative and helpful.