Mathematical Modeling In Diffraction Theory

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• Author : Alexander G. Kyurkchan,Nadezhda I. Smirnova
• Publisher : Elsevier
• Release Date : 2015-09-19
• Total pages : 280
• ISBN : 9780128037485
• File Size : 47,9 Mb
• Total Download : 549
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Download Mathematical Modeling in Diffraction Theory in PDF, Epub, and Kindle

Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution provides the fundamental physical concepts behind the theory of wave diffraction and scattered wave fields as well as its application in radio physics, acoustics, optics, radio astronomy, biophysics, geophysics, and astrophysics. This book provides a coherent discussion of several advanced topics that have the potential to push forward progress in this field. It begins with examples illustrating the importance of taking a priori information into account when developing algorithms for solving diffraction problems, with subsequent chapters discussing the basic analytical representations of wave fields, the auxiliary current and source methods for solving the problems of diffraction at compact scatterers, the null field and matrix methods that are widely used to solve problems in radio-physics, radio-astronomy, and biophysics, and the continued boundary condition and pattern equation method. Provides ideas and techniques for obtaining a priori information on analytical properties of wave fields and provides methods for solving diffraction problems Includes numerous concrete examples of localization of singularities of analytical continuation of wave fields Presents a qualitative explanation of the formation of visions of objects Formulates the concept of “invisible objects Supplies appropriate computer programs for all presented methods

• Author : Jianhua Tao
• Publisher : Springer Nature
• Release Date : 2020-03-30
• Total pages : 482
• ISBN : 9789811528415
• File Size : 14,7 Mb
• Total Download : 239
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Download Numerical Simulation of Water Waves in PDF, Epub, and Kindle

This book discusses the numerical simulation of water waves, which combines mathematical theories and modern techniques of numerical simulation to solve the problems associated with waves in coastal, ocean, and environmental engineering. Bridging the gap between practical mathematics and engineering, the book describes wave mechanics, establishment of mathematical wave models, modern numerical simulation techniques, and applications of numerical models in engineering. It also explores environmental issues related to water waves in coastal regions, such as pollutant and sediment transport, and introduces numerical wave flumes and wave basins. The material is self-contained, with numerous illustrations and tables, and most of the mathematical and engineering concepts are presented or derived in the text. The book is intended for researchers, graduate students and engineers in the fields of hydraulic, coastal, ocean and environmental engineering with a background in fluid mechanics and numerical simulation methods.

• Author : Tijmen Jan Moser,Michael A. Pelissier
• Publisher : SEG Books
• Release Date : 2016-06-30
• Total pages : 823
• ISBN : 9781560803171
• File Size : 30,7 Mb
• Total Download : 892
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Download Seismic Diffraction in PDF, Epub, and Kindle

The use of diffraction imaging to complement the seismic reflection method is rapidly gaining momentum in the oil and gas industry. As the industry moves toward exploiting smaller and more complex conventional reservoirs and extensive new unconventional resource plays, the application of the seismic diffraction method to image sub-wavelength features such as small-scale faults, fractures and stratigraphic pinchouts is expected to increase dramatically over the next few years. “Seismic Diffraction” covers seismic diffraction theory, modeling, observation, and imaging. Papers and discussion include an overview of seismic diffractions, including classic papers which introduced the potential of diffraction phenomena in seismic processing; papers on the forward modeling of seismic diffractions, with an emphasis on the theoretical principles; papers which describe techniques for diffraction mathematical modeling as well as laboratory experiments for the physical modeling of diffractions; key papers dealing with the observation of seismic diffractions, in near-surface-, reservoir-, as well as crustal studies; and key papers on diffraction imaging.

• Author : Anonim
• Publisher : ScholarlyEditions
• Release Date : 2013-05-01
• Total pages : 1225
• ISBN : 9781490110110
• File Size : 11,6 Mb
• Total Download : 736
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Download Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition in PDF, Epub, and Kindle

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

• Author : Ke Chen,Carola-Bibiane Schönlieb,Xue-Cheng Tai,Laurent Younes
• Publisher : Springer Nature
• Release Date : 2023-02-24
• Total pages : 1981
• ISBN : 9783030986612
• File Size : 44,6 Mb
• Total Download : 956
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Download Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging in PDF, Epub, and Kindle

This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision. Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.

• Author : Dan Czamanski,Dan Givoli,Marcus J. Grote,George Papanicolaou
• Publisher : Springer Science & Business Media
• Release Date : 2004-04-30
• Total pages : 292
• ISBN : 1402018428
• File Size : 15,7 Mb
• Total Download : 543
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Download A Celebration of Mathematical Modeling in PDF, Epub, and Kindle

This volume celebrates the eightieth birthday of the famous applied mathematician Joseph B. Keller. The book contains 12 chapters, each on a specific area of mathematical modeling, written by established researchers who have collaborated with J.B. Keller during his long career. These chapters, all inspired by J.B. Keller, deal with a variety of application fields and together span the broad subject of mathematical modeling. The models discussed in the book describe the behavior of various systems such as those related to finance, waves, microorganisms, shocks, DNA, flames, contact, optics, fluids, bubbles and jets. The book also contains a preface written by the Editors, a full list of J.B. Keller's publications, and a comprehensive index. The book is intended for mathematicians, scientists and engineers, as well as graduate students in these fields, who are interested in mathematical models of physical phenomena.

• Author : Gang Bao,Lawrence Cowsar,Wen Masters
• Publisher : SIAM
• Release Date : 2001-01-01
• Total pages : 349
• ISBN : 0898717590
• File Size : 30,7 Mb
• Total Download : 448
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Download Mathematical Modeling in Optical Science in PDF, Epub, and Kindle

This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers.

• Author : V.N. Samokhin
• Publisher : Routledge
• Release Date : 2018-05-02
• Total pages : 218
• ISBN : 9781351433211
• File Size : 34,8 Mb
• Total Download : 942
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Download Mathematical Models in Boundary Layer Theory in PDF, Epub, and Kindle

Since Prandtl first suggested it in 1904, boundary layer theory has become a fundamental aspect of fluid dynamics. Although a vast literature exists for theoretical and experimental aspects of the theory, for the most part, mathematical studies can be found only in separate, scattered articles. Mathematical Models in Boundary Layer Theory offers the first systematic exposition of the mathematical methods and main results of the theory. Beginning with the basics, the authors detail the techniques and results that reveal the nature of the equations that govern the flow within boundary layers and ultimately describe the laws underlying the motion of fluids with small viscosity. They investigate the questions of existence and uniqueness of solutions, the stability of solutions with respect to perturbations, and the qualitative behavior of solutions and their asymptotics. Of particular importance for applications, they present methods for an approximate solution of the Prandtl system and a subsequent evaluation of the rate of convergence of the approximations to the exact solution. Written by the world's foremost experts on the subject, Mathematical Models in Boundary Layer Theory provides the opportunity to explore its mathematical studies and their importance to the nonlinear theory of viscous and electrically conducting flows, the theory of heat and mass transfer, and the dynamics of reactive and muliphase media. With the theory's importance to a wide variety of applications, applied mathematicians-especially those in fluid dynamics-along with engineers of aeronautical and ship design will undoubtedly welcome this authoritative, state-of-the-art treatise.

• Author : Philipp Kornreich
• Publisher : CRC Press
• Release Date : 2018-10-03
• Total pages : 376
• ISBN : 9781420058840
• File Size : 23,7 Mb
• Total Download : 703
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Download Mathematical Models of Information and Stochastic Systems in PDF, Epub, and Kindle

From ancient soothsayers and astrologists to today’s pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge. Mathematical Models of Information and Stochastic Systems shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a system’s probabilistic properties. After an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals. By building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors.

• Author : Yuriy K. Sirenko,Staffan Ström
• Publisher : Springer
• Release Date : 2010-07-23
• Total pages : 404
• ISBN : 9781441912008
• File Size : 39,5 Mb
• Total Download : 692
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Download Modern Theory of Gratings in PDF, Epub, and Kindle

The advances in the theory of diffraction gratings and the applications of these results certainly determine the progress in several areas of applied science and engineering. The polarization converters, phase shifters and filters, quantum and solid-state oscillators, open quasi optical dispersive resonators and power compressors, slow-wave structures and patter forming systems, accelerators and spectrometer; that is still far from being a complete list of devices exploiting the amazing ability of periodic structures to perform controlled frequency, spatial, and polarization selection of signals. Diffraction gratings used to be and still are one of the most popular objects of analysis in electromagnetic theory. The further development of the theory of diffraction gratings, in spite of considerable achievements, is still very important presently. The requirements of applied optics and microwave engineering present the theory of diffraction gratings with many new problems which force us to search for new methods and tools for their resolution. Just in such way there appeared recently new fields, connected with the analysis, synthesis and definition of equivalent parameters of artificial materials – layers and coatings, having periodic structure and possessing features, which can be found in natural materials only in extraordinary or exceptional situations. In this book the authors present results of the electromagnetic theory of diffraction gratings that may constitute the base of further development of this theory which can meet the challenges provided by the most recent requirements of fundamental and applied science. The following issues will be considered in the book Authentic methods of analytical regularization, that perfectly match the requirements of analysis of resonant scattering of electromagnetic waves by gratings; Spectral theory of gratings, providing a reliable foundation for the analysis of spatial – frequency transformations of electromagnetic fields occurring in open periodic resonators and waveguides; Parametric Fourier method and C-method, that are oriented towards the efficient numerical analysis of transformation properties of fields in the case of arbitrary profile periodic boundary between dielectric media and multilayered conformal arrays; Rigorous methods for analysis of transient processes and time-spatial transformations of electromagnetic waves in resonant situations, based on development and incorporation in standard numerical routines of FDTD of so called explicit absorbing boundary conditions; New approaches to the solution of homogenization problems – the key problem arising in construction of metamaterials and meta surfaces; New physical results about the resonance scattering of pulse and monochromatic waves by periodic structures, including structures with chiral or left-handed materials; Methods and the results of the solutions of several actual applied problems of analysis and synthesis of pattern creating gratings, power compressors, resonance radiators of high capacity short radio pulses, open electromagnetic structures for the systems of resonant quasi optics and absorbing coatings.

• Author : Clive L. Dym,Elizabeth S. Ivey
• Publisher : Unknown
• Release Date : 1980
• Total pages : 284
• ISBN : MINN:31951D013949703
• File Size : 41,6 Mb
• Total Download : 733
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Download Principles of Mathematical Modeling in PDF, Epub, and Kindle

PDF book entitled Principles of Mathematical Modeling written by Clive L. Dym,Elizabeth S. Ivey and published by Unknown which was released on 1980 with total hardcover pages 284, the book become popular and critical acclaim.

• Author : National Institutes of Health (U.S.). Division of Research Grants
• Publisher : Unknown
• Release Date : 1966
• Total pages : 1264
• ISBN : IND:30000090423835
• File Size : 15,7 Mb
• Total Download : 444
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Download Research Grants Index in PDF, Epub, and Kindle

PDF book entitled Research Grants Index written by National Institutes of Health (U.S.). Division of Research Grants and published by Unknown which was released on 1966 with total hardcover pages 1264, the book become popular and critical acclaim.

• Author : Pauline H. Gurewitz
• Publisher : Unknown
• Release Date : 1980
• Total pages : 404
• ISBN : UIUC:30112075693884
• File Size : 43,8 Mb
• Total Download : 610
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Download Hydraulic Research in the United States and Canada, 1978 in PDF, Epub, and Kindle

PDF book entitled Hydraulic Research in the United States and Canada, 1978 written by Pauline H. Gurewitz and published by Unknown which was released on 1980 with total hardcover pages 404, the book become popular and critical acclaim.

• Author : Anonim
• Publisher : Unknown
• Release Date : 1980
• Total pages : 229
• ISBN : MINN:30000010506321
• File Size : 54,8 Mb
• Total Download : 942
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Download Energy Research Abstracts in PDF, Epub, and Kindle

PDF book entitled Energy Research Abstracts written by Anonim and published by Unknown which was released on 1980 with total hardcover pages 229, the book become popular and critical acclaim.

• Author : United States. National Bureau of Standards
• Publisher : Unknown
• Release Date : 1964
• Total pages : 730
• ISBN : UCAL:B3515582
• File Size : 12,6 Mb
• Total Download : 329
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Download Journal of Research of the National Bureau of Standards in PDF, Epub, and Kindle

PDF book entitled Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by Unknown which was released on 1964 with total hardcover pages 730, the book become popular and critical acclaim.

• Author : Glen D. Gillen,Katharina Gillen,Shekhar Guha
• Publisher : CRC Press
• Release Date : 2017-12-19
• Total pages : 388
• ISBN : 9781482210958
• File Size : 20,6 Mb
• Total Download : 859
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Download Light Propagation in Linear Optical Media in PDF, Epub, and Kindle

Light Propagation in Linear Optical Media describes light propagation in linear media by expanding on diffraction theories beyond what is available in classic optics books. In one volume, this book combines the treatment of light propagation through various media, interfaces, and apertures using scalar and vector diffraction theories. After covering the fundamentals of light and physical optics, the authors discuss light traveling within an anisotropic crystal and present mathematical models for light propagation across planar boundaries between different media. They describe the propagation of Gaussian beams and discuss various diffraction models for the propagation of light. They also explore methods for spatially confining (trapping) cold atoms within localized light-intensity patterns. This book can be used as a technical reference by professional scientists and engineers interested in light propagation and as a supplemental text for upper-level undergraduate or graduate courses in optics.

• Author : Igor T. Selezov,Yuriy G. Kryvonos,Ivan S. Gandzha
• Publisher : Springer
• Release Date : 2017-09-05
• Total pages : 241
• ISBN : 9789811049231
• File Size : 46,7 Mb
• Total Download : 675
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Download Wave Propagation and Diffraction in PDF, Epub, and Kindle

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.

• Author : Kamill Davydovich Klem-Musatov,Henning Hoeber,Tijmen Jan Moser,Michael A. Pelissie
• Publisher : Unknown
• Release Date : 2016
• Total pages : 805
• ISBN : 1560803185
• File Size : 24,7 Mb
• Total Download : 626
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Download Seismic Diffraction in PDF, Epub, and Kindle

The use of diffraction imaging to complement the seismic reflection method is rapidly gaining momentum in the oil and gas industry. As the industry moves toward exploiting smaller and more complex conventional reservoirs and extensive new unconventional resource plays, the application of the seismic diffraction method to image sub-wavelength features such as small-scale faults, fractures and stratigraphic pinchouts is expected to increase dramatically over the next few years. "Seismic Diffraction" covers seismic diffraction theory, modeling, observation, and imaging. Papers and discussion include an overview of seismic diffractions, including classic papers which introduced the potential of diffraction phenomena in seismic processing; papers on the forward modeling of seismic diffractions, with an emphasis on the theoretical principles; papers which describe techniques for diffraction mathematical modeling as well as laboratory experiments for the physical modeling of diffractions; key papers dealing with the observation of seismic diffractions, in near-surface-, reservoir-, as well as crustal studies; and key papers on diffraction imaging.

• Author : Ronald G. Driggers
• Publisher : CRC Press
• Release Date : 2003
• Total pages : 1240
• ISBN : 0824742508
• File Size : 23,6 Mb
• Total Download : 170
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Download Encyclopedia of Optical Engineering: Abe-Las, pages 1-1024 in PDF, Epub, and Kindle

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• Author : Alexander Komech,Anatoli Merzon
• Publisher : Springer Nature
• Release Date : 2019-09-16
• Total pages : 167
• ISBN : 9783030266998
• File Size : 54,7 Mb
• Total Download : 605
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Download Stationary Diffraction by Wedges in PDF, Epub, and Kindle

This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem. The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems.

• Author : Anthony J. Devaney
• Publisher : Cambridge University Press
• Release Date : 2012-06-21
• Total pages : 229
• ISBN : 9781139510141
• File Size : 34,5 Mb
• Total Download : 860
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Download Mathematical Foundations of Imaging, Tomography and Wavefield Inversion in PDF, Epub, and Kindle

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.