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Author : H.P. Baltes
Publisher : Springer
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (43 download)
Download or read book Inverse Source Problems in Optics written by H.P. Baltes and published by Springer. This book was released on 1978-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts
Author : H.P. Baltes
Publisher : Springer Science & Business Media
ISBN 13 : 3642814727
Total Pages : 324 pages
Book Rating : 4.6/5 (428 download)
Download or read book Inverse Scattering Problems in Optics written by H.P. Baltes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: When, in the spring of 1979, H.P. Baltes presented me with the precursor of this vo 1 ume, the book on "Inverse Source Problems in Opti cs", I expressed my gratitude in a short note, 11hich in translation, reads: "Dear Dr. Ba ltes, the mere titl e of your unexpected gift evokes memori es of a period, which, in the terminology of your own contribution, would be described as the Stone Age of the Inverse Problem. Those were pleasant times. Walter Kohn and I lived in a cave by ourselves, drew pictures on the walls, and nobody seemed to care. Now, however, Inversion has become an Industry, which I contemplate with as much bewilderment as a surviving Tasmanian aborigine gazing at a modern oil refinery with its towers, its fl ares, and the confus i ng maze of its tubes." The present volume makes me feel even more aboriginal - impossible for me to fathom its content. What I can point out, however, is one of the forgotten origins of the Inverse Scattering Problem of Quantum Mechanics: Werner Heisenberg's "S-Matrix Theory" of 1943. This grandiose scheme had the purpose of eliminating the notion of the Hamiltonian in favour of the scattering operator. If Successful, it would have done away once and for all with any kind of inverse problem.
Author : Victor Isakov
Publisher : American Mathematical Soc.
ISBN 13 : 0821815326
Total Pages : 209 pages
Book Rating : 4.8/5 (218 download)
Download or read book Inverse Source Problems written by Victor Isakov and published by American Mathematical Soc.. This book was released on 1990 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful exposition of a research field of current interest. This includes a brief survey of the subject and an introduction to recent developments and unsolved problems.
Author : Curtis R. Vogel
Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)
Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.
Author : Mohsen Razavy
Publisher : World Scientific
ISBN 13 : 9811221685
Total Pages : 387 pages
Book Rating : 4.8/5 (112 download)
Download or read book An Introduction To Inverse Problems In Physics written by Mohsen Razavy and published by World Scientific. This book was released on 2020-05-21 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems.The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.
Author : Jin Keun Seo
Publisher : John Wiley & Sons
ISBN 13 : 1118478150
Total Pages : 379 pages
Book Rating : 4.1/5 (184 download)
Download or read book Nonlinear Inverse Problems in Imaging written by Jin Keun Seo and published by John Wiley & Sons. This book was released on 2012-11-16 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides researchers and engineers in the imaging field with the skills they need to effectively deal with nonlinear inverse problems associated with different imaging modalities, including impedance imaging, optical tomography, elastography, and electrical source imaging. Focusing on numerically implementable methods, the book bridges the gap between theory and applications, helping readers tackle problems in applied mathematics and engineering. Complete, self-contained coverage includes basic concepts, models, computational methods, numerical simulations, examples, and case studies. Provides a step-by-step progressive treatment of topics for ease of understanding. Discusses the underlying physical phenomena as well as implementation details of image reconstruction algorithms as prerequisites for finding solutions to non linear inverse problems with practical significance and value. Includes end of chapter problems, case studies and examples with solutions throughout the book. Companion website will provide further examples and solutions, experimental data sets, open problems, teaching material such as PowerPoint slides and software including MATLAB m files. Essential reading for Graduate students and researchers in imaging science working across the areas of applied mathematics, biomedical engineering, and electrical engineering and specifically those involved in nonlinear imaging techniques, impedance imaging, optical tomography, elastography, and electrical source imaging
Author : Seppo Pohjolainen
Publisher : Springer
ISBN 13 : 3319278363
Total Pages : 247 pages
Book Rating : 4.3/5 (192 download)
Download or read book Mathematical Modelling written by Seppo Pohjolainen and published by Springer. This book was released on 2016-07-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
Author :
Publisher : Elsevier
ISBN 13 : 0080930336
Total Pages : 425 pages
Book Rating : 4.0/5 (89 download)
Download or read book Progress in Optics written by and published by Elsevier. This book was released on 2003-07-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume in the Progress in Optics series, the papers in this book cover a range of topics, including: anamorphic beam shaping for laser and diffuse light; ultra-fast all-optical switching in optical networks; generation of dark hollow beams and their application; and two-photon lasers.
Author : Manuel Nieto Vesperinas
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106522
Total Pages : 455 pages
Book Rating : 4.8/5 (131 download)
Download or read book Scattering And Diffraction In Physical Optics (2nd Edition) written by Manuel Nieto Vesperinas and published by World Scientific Publishing Company. This book was released on 2006-06-01 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive tutorial on propagation, diffraction and scattering problems from the basic principles of physical optics. Beginning with the fundamental differential and integral equations for wavefields, the text presents an exhaustive discussion on the extinction theorem as a non-local boundary condition; this has been extensively employed for the rigorous solution of scattering and diffraction problems.There is also an in-depth presentation of the topic of scattering from rough surfaces, in particular the phenomenon of enhanced backscattering, as well as a detailed development of the angular spectrum representation of fields leading to questions on non-diffraction beams. Of key interest in near field optical microscopy and nanooptics, the S-matrix theory based on the angular spectrum for propagating components and the recently discovered properties of the S-matrix for evanescent components of wavefields are considered. In addition, the book deals with the healing effect of phase conjugation on waves, and focuses on some applications concerning the relationship with time reversal.Readers will also find discussions on image recovery from partial information data (phase problems and super-resolution problems), as well as a chapter on the fundamentals of near field optical microscopy techniques, including the hot topic of propagation in negative index media.
Author : Jennifer L. Mueller
Publisher : SIAM
ISBN 13 : 1611972337
Total Pages : 349 pages
Book Rating : 4.6/5 (119 download)
Download or read book Linear and Nonlinear Inverse Problems with Practical Applications written by Jennifer L. Mueller and published by SIAM. This book was released on 2012-11-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.
Author : Kurt E. Oughstun
Publisher : Springer
ISBN 13 : 3030208354
Total Pages : 753 pages
Book Rating : 4.0/5 (32 download)
Download or read book Electromagnetic and Optical Pulse Propagation written by Kurt E. Oughstun and published by Springer. This book was released on 2019-07-17 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a detailed, rigorous treatment of the fundamental theory of electromagnetic pulse propagation in causally dispersive media that is applicable to dielectric, conducting, and semiconducting media. Asymptotic methods of approximation based upon saddle point methods are presented in detail.
Author :
Publisher :
ISBN 13 :
Total Pages : 694 pages
Book Rating : 4.:/5 (318 download)
Download or read book Journal of the Optical Society of America written by and published by . This book was released on 1991 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David A. Boas
Publisher : CRC Press
ISBN 13 : 1420090372
Total Pages : 816 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Biomedical Optics written by David A. Boas and published by CRC Press. This book was released on 2016-04-19 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical optics holds tremendous promise to deliver effective, safe, non- or minimally invasive diagnostics and targeted, customizable therapeutics. Handbook of Biomedical Optics provides an in-depth treatment of the field, including coverage of applications for biomedical research, diagnosis, and therapy. It introduces the theory and fundamental
Author : Jan Perina
Publisher : Springer Science & Business Media
ISBN 13 : 9400962487
Total Pages : 320 pages
Book Rating : 4.4/5 (9 download)
Download or read book Quantum Statistics of Linear and Nonlinear Optical Phenomena written by Jan Perina and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum statistical properties of radiation represent an important branch of modern physics with rapidly increasing applications in spectroscopy, quantum generators of radiation, optical communication, etc. They have also an increasing role in fields other than pure physics, such as biophysics, psychophysics, biology, etc. The present monograph represents an extension and continuation of the previous monograph of this author entitled Coherence of Light (Van Nostrand Reinhold Company, London 1972, translated into Russian in the Publishing House Mir, Moscow 1974) and of a review chapter in Progress in Optics, Vol. 18 (E. Wolf (Ed.), North-Holland Publishing Company, Amsterdam 1980), published just recently. It applies the fundamental tools of the coherent-state technique, as described in Coherence of Light, to particular studies of the quantum statistical properties of radiation in its interaction with matter. In particular, nonlinear optical processes are considered, and purely quantum phenomena such as antibunching of photons are discussed. This book will be useful to research workers in the fields of quantum optics and electronics, quantum generators, optical communication and solid-state physics, as well as to students of physics, optical engineering and opto-electronics.
Author : Kurt E. Oughstun
Publisher : Springer Science & Business Media
ISBN 13 : 1441901493
Total Pages : 841 pages
Book Rating : 4.4/5 (419 download)
Download or read book Electromagnetic and Optical Pulse Propagation 2 written by Kurt E. Oughstun and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic & Optical Pulse Propagation presents a detailed, systematic treatment of the time-domain electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in homogeneous, isotropic media which exhibit both temporal frequency dispersion and attenuation. The development is mathematically rigorous with strict adherence to the fundamental physical principle of causality. Approximation methods are based upon mathematically well-defined asymptotic techniques that are based upon the saddle point method. A detailed description is given of the asymptotic expansions used. Meaningful exercises are given throughout the text to help the reader‘s understanding of the material, making the book a useful graduate level text in electromagnetic wave theory for both physics, electrical engineering and materials science programs. Both students and researchers alike will obtain a better understanding of time domain electromagnetics as it applies to electromagnetic radiation and wave propagation theory with applications to ground and foliage penetrating radar, medical imaging, communications, and the health and safety issues associated with ultrawideband pulsed fields. Volume 2 presents a detailed asymptotic description of plane wave pulse propagation in dielectric, conducting, and semiconducting materials as described by the classical Lorentz model of dielectric resonance, the Rocard-Powles-Debys model of orientational polarization, and the Drude model of metals. The rigorous description of the signal velocity of a pulse in a dispersive material is presented in connection with the question of superluminal pulse propagation.
Author : Francisco Bulnes
Publisher : BoD – Books on Demand
ISBN 13 : 1839683600
Total Pages : 172 pages
Book Rating : 4.8/5 (396 download)
Download or read book Advances in Complex Analysis and Applications written by Francisco Bulnes and published by BoD – Books on Demand. This book was released on 2020-11-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.
Author : Emil Wolf
Publisher : Elsevier
ISBN 13 : 0444538860
Total Pages : 401 pages
Book Rating : 4.4/5 (445 download)
Download or read book Progress in Optics written by Emil Wolf and published by Elsevier. This book was released on 2011-12-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 50 years since the first volume of Progress in Optics was published, optics has become one of the most dynamic fields of science. The volumes in this series that have appeared up to now contain more than 300 review articles by distinguished research workers, which have become permanent records for many important developments, helping optical scientists and optical engineers stay abreast of their fields. Comprehensive, in-depth reviews Edited by the leading authority in the field Q1 in Thomson JCR ranking
