The Factorization Method For Inverse Scattering From Periodic Inhomogeneous Media

Download The Factorization Method For Inverse Scattering From Periodic Inhomogeneous Media full books in PDF, epub, and Kindle. Read online The Factorization Method For Inverse Scattering From Periodic Inhomogeneous Media ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

The Factorization Method for Inverse Scattering from Periodic Inhomogeneous Media

Author : Kai Sandfort
Publisher : KIT Scientific Publishing
ISBN 13 : 3866445504
Total Pages : 168 pages
Book Rating : 4.8/5 (664 download)

DOWNLOAD NOW!

Book Synopsis The Factorization Method for Inverse Scattering from Periodic Inhomogeneous Media by : Kai Sandfort

Download or read book The Factorization Method for Inverse Scattering from Periodic Inhomogeneous Media written by Kai Sandfort and published by KIT Scientific Publishing. This book was released on 2014-10-16 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the identification of the shape of penetrable periodic media by means of scattered time-harmonic waves. Mathematically, this is about the determination of the support of a function which occurs in the governing equations. Our theoretical analysis shows that this problem can be strictly solved for acoustic as well as for electromagnetic radiation by the so-called Factorization Method. We apply this method to reconstruct a couple of media from numerically simulated field data.

The Factorization Method for Inverse Scattering from Periodic Inhomogeneous Media

Author : Kai Sandfort
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (118 download)

DOWNLOAD NOW!

Book Synopsis The Factorization Method for Inverse Scattering from Periodic Inhomogeneous Media by : Kai Sandfort

Download or read book The Factorization Method for Inverse Scattering from Periodic Inhomogeneous Media written by Kai Sandfort and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Maxwell’s Equations in Periodic Structures

Author : Gang Bao
Publisher : Springer Nature
ISBN 13 : 9811600619
Total Pages : 361 pages
Book Rating : 4.8/5 (116 download)

DOWNLOAD NOW!

Book Synopsis Maxwell’s Equations in Periodic Structures by : Gang Bao

Download or read book Maxwell’s Equations in Periodic Structures written by Gang Bao and published by Springer Nature. This book was released on 2021-11-22 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses recent developments in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell’s equations in periodic structures. The fundamental importance of the fields is clear, since they are related to technology with significant applications in optics and electromagnetics. The book provides both introductory materials and in-depth discussion to the areas in diffractive optics that offer rich and challenging mathematical problems. It is also intended to convey up-to-date results to students and researchers in applied and computational mathematics, and engineering disciplines as well.

Advanced Topics in Scattering and Biomedical Engineering

Author :
Publisher :
ISBN 13 : 9814470945
Total Pages : pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Advanced Topics in Scattering and Biomedical Engineering by :

Download or read book Advanced Topics in Scattering and Biomedical Engineering written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Topics in Scattering and Biomedical Engineering

Author : Dimitrios Ioannou Fotiadis
Publisher : World Scientific
ISBN 13 : 981281485X
Total Pages : 403 pages
Book Rating : 4.8/5 (128 download)

DOWNLOAD NOW!

Book Synopsis Advanced Topics in Scattering and Biomedical Engineering by : Dimitrios Ioannou Fotiadis

Download or read book Advanced Topics in Scattering and Biomedical Engineering written by Dimitrios Ioannou Fotiadis and published by World Scientific. This book was released on 2008 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings consists of the papers presented during the 8th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, held in Lefkada, Greece, on 27-29 September 2007. The book contains papers on scattering theory and biomedical engineering - two rapidly evolving fields which have a considerable impact on today's research. All the papers are state-of-the-art, have been carefully reviewed before publication and the authors are well-known in the scientific community. In addition, some papers focus more on applied mathematics, which is the solid ground for development and innovative research in scattering and biomedical engineering.

Inverse Scattering Theory and Transmission Eigenvalues

Author : Fioralba Cakoni
Publisher : SIAM
ISBN 13 : 1611974461
Total Pages : 203 pages
Book Rating : 4.6/5 (119 download)

DOWNLOAD NOW!

Book Synopsis Inverse Scattering Theory and Transmission Eigenvalues by : Fioralba Cakoni

Download or read book Inverse Scattering Theory and Transmission Eigenvalues written by Fioralba Cakoni and published by SIAM. This book was released on 2016-10-28 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse scattering theory is a major theme of applied mathematics, and it has applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting particular problems in the development of efficient inversion algorithms. Although linearized models continue to play an important role in many applications, an increased need to focus on problems in which multiple scattering effects cannot be ignored has led to a central role for nonlinearity, and the possibility of collecting large amounts of data over limited regions of space means that the ill-posed nature of the inverse scattering problem has become a problem of central importance.? Initial efforts to address the nonlinear and the ill-posed nature of the inverse scattering problem focused on nonlinear optimization methods. While efficient in many situations, strong a priori information is necessary for their implementation. This problem led to a qualitative approach to inverse scattering theory in which the amount of a priori information is drastically reduced, although at the expense of only obtaining limited information about the values of the constitutive parameters. This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues.? The authors begin with a basic introduction to the theory, then proceed to more recent developments, including a detailed discussion of the transmission eigenvalue problem; present the new generalized linear sampling method in addition to the well-known linear sampling and factorization methods; and in order to achieve clarification of presentation, focus on the inverse scattering problem for scalar homogeneous media.?

Point Sources and Multipoles in Inverse Scattering Theory

Author : Roland Potthast
Publisher : CRC Press
ISBN 13 : 1420035487
Total Pages : 302 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Point Sources and Multipoles in Inverse Scattering Theory by : Roland Potthast

Download or read book Point Sources and Multipoles in Inverse Scattering Theory written by Roland Potthast and published by CRC Press. This book was released on 2001-05-30 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of applications, from medical imaging and radar to remote sensing and seismic exploration. Point Sources and Multipoles in Inverse Scattering Theory provides a survey of recent developments in inverse acoustic and electromagnetic scattering theory. Focusing on methods developed over the last six years by Colton, Kirsch, and the author, this treatment uses point sources combined with several far-reaching techniques to obtain qualitative reconstruction methods. The author addresses questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems. With interest in extracting information about an object through scattered waves at an all-time high, Point Sources and Multipoles in Inverse Scattering Theory provides a valuable source of information from both the mathematical and applications perspectives. It offers insight into the general recovery of information from incomplete data and has direct, practical relevance to work on image reconstruction.

Handbook of Mathematical Methods in Imaging

Author : Otmar Scherzer
Publisher : Springer Science & Business Media
ISBN 13 : 0387929193
Total Pages : 1626 pages
Book Rating : 4.3/5 (879 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Mathematical Methods in Imaging by : Otmar Scherzer

Download or read book Handbook of Mathematical Methods in Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Optimization and Regularization for Computational Inverse Problems and Applications

Author : Yanfei Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3642137423
Total Pages : 400 pages
Book Rating : 4.6/5 (421 download)

DOWNLOAD NOW!

Book Synopsis Optimization and Regularization for Computational Inverse Problems and Applications by : Yanfei Wang

Download or read book Optimization and Regularization for Computational Inverse Problems and Applications written by Yanfei Wang and published by Springer Science & Business Media. This book was released on 2011-06-29 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Optimization and Regularization for Computational Inverse Problems and Applications" focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination of optimization and regularization for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the nonmonotone gradient method, subspace method and Lie group method; and the practical applications, such as the reconstruction problem for inverse scattering, molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engaged in applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov Moscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geology and Geophysics, Chinese Academy of Sciences, China.

Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory

Author : Habib Ammari
Publisher : American Mathematical Soc.
ISBN 13 : 0821839683
Total Pages : 278 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory by : Habib Ammari

Download or read book Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory written by Habib Ammari and published by American Mathematical Soc.. This book was released on 2006 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in inverse problems, multi-scale analysis and effective medium theory reveal that these fields share several fundamental concepts. This book is the proceedings of the research conference, ``Workshop in Seoul: Inverse Problems, Multi-Scale Analysis and Homogenization,'' held at Seoul National University, June 22-24, 2005. It highlights the benefits of sharing ideas among these areas, of merging the expertise of scientists working there, and of directing interest towards challenging issues such as imaging nanoscience and biological imaging. Contributions are written by prominent experts and are of interest to researchers and graduate students interested in partial differential equations and applications.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1226 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Linear Sampling Method in Inverse Electromagnetic Scattering

Author : Fioralba Cakoni
Publisher : SIAM
ISBN 13 : 0898719402
Total Pages : 147 pages
Book Rating : 4.8/5 (987 download)

DOWNLOAD NOW!

Book Synopsis The Linear Sampling Method in Inverse Electromagnetic Scattering by : Fioralba Cakoni

Download or read book The Linear Sampling Method in Inverse Electromagnetic Scattering written by Fioralba Cakoni and published by SIAM. This book was released on 2011-01-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation's solution as an indicator function for the determination of the support of the scattering object. This book describes the linear sampling method for a variety of electromagnetic scattering problems. It presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave.

The Factorization Method for Inverse Problems

Author : Andreas Kirsch
Publisher : Oxford University Press
ISBN 13 : 0199213534
Total Pages : 216 pages
Book Rating : 4.1/5 (992 download)

DOWNLOAD NOW!

Book Synopsis The Factorization Method for Inverse Problems by : Andreas Kirsch

Download or read book The Factorization Method for Inverse Problems written by Andreas Kirsch and published by Oxford University Press. This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 'factorization method', discovered by Professor Kirsch, is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. The text introduces the reader to this promising approach and discusses the wide applicability of this method by choosing typical examples.

Detection and Characterization of Inclusions in Impedance Tomography

Author : Susanne Schmitt
Publisher : KIT Scientific Publishing
ISBN 13 : 3866446357
Total Pages : 146 pages
Book Rating : 4.8/5 (664 download)

DOWNLOAD NOW!

Book Synopsis Detection and Characterization of Inclusions in Impedance Tomography by : Susanne Schmitt

Download or read book Detection and Characterization of Inclusions in Impedance Tomography written by Susanne Schmitt and published by KIT Scientific Publishing. This book was released on 2014-08-20 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this work are two further developments of the Factorization method for electrical impedance tomography.We present a modification of this method that is capable of detecting mixed inclusions, i.e. both inclusions with a higher as well as inclusions with a lower conductivity than the background medium. In addition, we derive a new method to compute the conductivity inside inclusions after they have been localized.

Numerical Fourier Analysis

Author : Gerlind Plonka
Publisher : Springer
ISBN 13 : 3030043061
Total Pages : 618 pages
Book Rating : 4.0/5 (3 download)

DOWNLOAD NOW!

Book Synopsis Numerical Fourier Analysis by : Gerlind Plonka

Download or read book Numerical Fourier Analysis written by Gerlind Plonka and published by Springer. This book was released on 2019-02-05 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions. Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums. The code of most of the presented algorithms is available in the authors’ public domain software packages. Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.

Theory of Solitons

Author : S. Novikov
Publisher : Springer Science & Business Media
ISBN 13 : 9780306109775
Total Pages : 298 pages
Book Rating : 4.1/5 (97 download)

DOWNLOAD NOW!

Book Synopsis Theory of Solitons by : S. Novikov

Download or read book Theory of Solitons written by S. Novikov and published by Springer Science & Business Media. This book was released on 1984-05-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Qualitative Methods in Inverse Scattering Theory

Author : Fioralba Cakoni
Publisher : Springer Science & Business Media
ISBN 13 : 3540312307
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Qualitative Methods in Inverse Scattering Theory by : Fioralba Cakoni

Download or read book Qualitative Methods in Inverse Scattering Theory written by Fioralba Cakoni and published by Springer Science & Business Media. This book was released on 2005-12-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.