Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

Author: Anthony J. Devaney

Publisher: Cambridge University Press

ISBN: 1139510142

Category: Science

Page: N.A

View: 407

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Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740.
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Computational Methods for Electromagnetic Inverse Scattering

Author: Xudong Chen

Publisher: Wiley-IEEE Press

ISBN: 1119311985

Category: Science

Page: 328

View: 8411

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A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems Written by a leading expert in the field
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Mathematical Optics

Classical, Quantum, and Computational Methods

Author: Vasudevan Lakshminarayanan,María L. Calvo,Tatiana Alieva

Publisher: CRC Press

ISBN: 1439869618

Category: Science

Page: 630

View: 1895

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Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.
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Seismic Earth

Array Analysis of Broadband Seismograms

Author: Alan Levander,Guust Nolet

Publisher: American Geophysical Union

ISBN: N.A

Category: Science

Page: 252

View: 1964

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Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 157. Seismology is one of the few means available to Earth scientists for probing the mechanical structure of the Earth's interior. The advent of modern seismic instrumentation at the end of the 19th century and its installation across the globe was shortly followed by mankind's first general understanding of the Earth's interior: The Croatian seismologist Andrija Mohorovièiæ discovered the crust-mantle boundary in central Europe in 1909, the German Beno Gutenberg determined the radius of the Earth's core in 1913, Great Britian's Sir Harold Jeffreys established its fluid character by 1926, and the Dane Inge Lehman discovered the solid inner core in 1936. It is notable that seismology, even in its earliest days, was an international science. Unlike much of the Earth sciences, seismology has its roots in physics, notably optics (many university seismology programs are, or initially were, attached to meteorology, astronomy, or physics departments), and draws from the literatures of imaging systems and statistical communications theory developed by, or employed in, astronomy, electrical engineering, medicine, ocean acoustics, and nondestructive materials testing. Seismology has close ties to petro-physics and mineral physics, the measurements of the disciplines being compared to infer the chemical and physical structure of the Earth's interior.
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