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An Application Of Inversion To Wave Propagation


An Application Of Inversion To Wave Propagation
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An Application Of Inversion To Wave Propagation


An Application Of Inversion To Wave Propagation
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Author : Bernard Friedman
language : en
Publisher:
Release Date : 1947

An Application Of Inversion To Wave Propagation written by Bernard Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with categories.




An Application Of Inversion To Wave Propagation Classic Reprint


An Application Of Inversion To Wave Propagation Classic Reprint
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Author : Bernard Friedman
language : en
Publisher: Forgotten Books
Release Date : 2017-11-28

An Application Of Inversion To Wave Propagation Classic Reprint written by Bernard Friedman and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Mathematics categories.


Excerpt from An Application of Inversion to Wave Propagation In the case of an inhomogeneous non-standard atmosphere the problem of propagation offers great difficulties. Attempts have been made to approximate actual atmospheres, and the resulting problems have been solved, also approximately. One such method that carried out by W. H. Furry approximates some possible atmospheric condition by two layers, each with a constant refractive index. The method is theoret ically suitable for any number of layers. In this study the layers are plans, and.in order to obtain results applicable to a spherical earth surrounded.by layers in the form of spherical shells, an earth flatten ing factor is used. This is, of course, a further approximation. Even the approximate solutions, for limited cases, have led to immense amounts of calculation in.which.progress has been slow. The present paper represents an attempt to deal with the prob lem of propogation in a.special case of an inhomogeneous atmosphere so as to obtain an exact solution. The problem is the following: We con sider a spherical earth, which is finitely conducting and within.which the index of refraction is constant, surrounded by a layer of finite depth in which the index of refraction varies inversely as the square of the distance from the earth's center. Outside this layer is an infinite layer in which the refractive index is constant. A.ecures of radiation is situated in the finite layer. We are to find the electromagnetic field at any point. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.



Wave Propagation In Materials For Modern Applications


Wave Propagation In Materials For Modern Applications
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Author : Andrey Petrin
language : en
Publisher: BoD – Books on Demand
Release Date : 2010-01-01

Wave Propagation In Materials For Modern Applications written by Andrey Petrin and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Science categories.


In the recent decades, there has been a growing interest in micro- and nanotechnology. The advances in nanotechnology give rise to new applications and new types of materials with unique electromagnetic and mechanical properties. This book is devoted to the modern methods in electrodynamics and acoustics, which have been developed to describe wave propagation in these modern materials and nanodevices. The book consists of original works of leading scientists in the field of wave propagation who produced new theoretical and experimental methods in the research field and obtained new and important results. The first part of the book consists of chapters with general mathematical methods and approaches to the problem of wave propagation. A special attention is attracted to the advanced numerical methods fruitfully applied in the field of wave propagation. The second part of the book is devoted to the problems of wave propagation in newly developed metamaterials, micro- and nanostructures and porous media. In this part the interested reader will find important and fundamental results on electromagnetic wave propagation in media with negative refraction index and electromagnetic imaging in devices based on the materials. The third part of the book is devoted to the problems of wave propagation in elastic and piezoelectric media. In the fourth part, the works on the problems of wave propagation in plasma are collected. The fifth, sixth and seventh parts are devoted to the problems of wave propagation in media with chemical reactions, in nonlinear and disperse media, respectively. And finally, in the eighth part of the book some experimental methods in wave propagations are considered. It is necessary to emphasize that this book is not a textbook. It is important that the results combined in it are taken “from the desks of researchers“. Therefore, I am sure that in this book the interested and actively working readers (scientists, engineers and students) will find many interesting results and new ideas.



Radio Wave Propagation For Telecommunication Applications


Radio Wave Propagation For Telecommunication Applications
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Author : Hervé Sizun
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Radio Wave Propagation For Telecommunication Applications written by Hervé Sizun and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Technology & Engineering categories.


This book describes the physical mechanisms involved in the propagation of electromagnetic waves in the radiofrequency range, inside and outside buildings, in the terrestrial and near space environments, with a special focus on mobile radio communication. It combines a theoretical and an experimental approaches with an understanding of the physical environment through adequate formulations of the laws of electromagnetism. It should thus provide the background needed by advanced students and development engineers for the conception of high quality and reliable telecommunication systems.



Applications Of Data Assimilation And Inverse Problems In The Earth Sciences


Applications Of Data Assimilation And Inverse Problems In The Earth Sciences
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Author : Alik Ismail-Zadeh
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-06

Applications Of Data Assimilation And Inverse Problems In The Earth Sciences written by Alik Ismail-Zadeh and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-06 with Mathematics categories.


A comprehensive reference on data assimilation and inverse problems, and their applications across a broad range of geophysical disciplines, ideal for researchers and graduate students. It highlights the importance of data assimilation for understanding dynamical processes of the Earth and its space environment, and summarises recent advances.



Wave Propagation And Diffraction


Wave Propagation And Diffraction
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Author : Igor T. Selezov
language : en
Publisher: Springer
Release Date : 2017-09-05

Wave Propagation And Diffraction written by Igor T. Selezov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Science categories.


This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.



Inverse Problems In Wave Propagation


Inverse Problems In Wave Propagation
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Author : Guy Chavent
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Inverse Problems In Wave Propagation written by Guy Chavent and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science and technology. The papers in this volume represent most of these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.



Theory Of Elastic Wave Propagation And Its Application To Scattering Problems


Theory Of Elastic Wave Propagation And Its Application To Scattering Problems
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Author : Terumi Touhei
language : en
Publisher: CRC Press
Release Date : 2024-04-24

Theory Of Elastic Wave Propagation And Its Application To Scattering Problems written by Terumi Touhei and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-24 with Technology & Engineering categories.


Elastic wave propagation applies to a wide variety of fields, including seismology, non-destructive testing, energy resource exploration, and site characterization. New applications for elastic waves are still being discovered. Theory of Elastic Wave Propagation and its Application to Scattering Problems starts from the standpoint of continuum mechanics, explaining stress and strain tensors in terms of mathematics and physics, and showing the derivation of equations for elastic wave motions, to give readers a stronger foundation. It emphasizes the importance of Green’s function for applications of the elastic wave equation to practical engineering problems and covers elastic wave propagation in a half-space, in addition to the spectral representation of Green’s function. Finally, the MUSIC algorithm is used to address inverse scattering problems. Offers comprehensive coverage of fundamental concepts through to contemporary applications of elastic wave propagation Bridges the gap between theoretical principles and practical engineering solutions The book’s website provides the author’s software for analyzing elastic wave propagations, along with detailed answers to the problems presented, to suit graduate students across engineering and applied mathematics.



Full Seismic Waveform Modelling And Inversion


Full Seismic Waveform Modelling And Inversion
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Author : Andreas Fichtner
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-16

Full Seismic Waveform Modelling And Inversion written by Andreas Fichtner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-16 with Science categories.


Recent progress in numerical methods and computer science allows us today to simulate the propagation of seismic waves through realistically heterogeneous Earth models with unprecedented accuracy. Full waveform tomography is a tomographic technique that takes advantage of numerical solutions of the elastic wave equation. The accuracy of the numerical solutions and the exploitation of complete waveform information result in tomographic images that are both more realistic and better resolved. This book develops and describes state of the art methodologies covering all aspects of full waveform tomography including methods for the numerical solution of the elastic wave equation, the adjoint method, the design of objective functionals and optimisation schemes. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data. It is a comprehensive reference on full waveform tomography for advanced students, researchers and professionals.



Wave Propagation In Anelastic Media With Applications To Seismology


Wave Propagation In Anelastic Media With Applications To Seismology
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Author : Walter Joseph Silva
language : en
Publisher:
Release Date : 1978

Wave Propagation In Anelastic Media With Applications To Seismology written by Walter Joseph Silva and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.