Mathematical Modeling in Diffraction Theory Book

Mathematical Modeling in Diffraction Theory

  • Author : Alexander G. Kyurkchan
  • Publisher : Elsevier
  • Release Date : 2015-09-19
  • Genre: Science
  • Pages : 280
  • ISBN 10 : 9780128037485

Mathematical Modeling in Diffraction Theory Excerpt :

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

Numerical Simulation of Water Waves Book

Numerical Simulation of Water Waves

  • Author : Jianhua Tao
  • Publisher : Springer Nature
  • Release Date : 2020-03-30
  • Genre: Technology & Engineering
  • Pages : 482
  • ISBN 10 : 9789811528415

Numerical Simulation of Water Waves Excerpt :

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.

Seismic Diffraction Book

Seismic Diffraction

  • Author : Tijmen Jan Moser
  • Publisher : SEG Books
  • Release Date : 2016-06-30
  • Genre: Science
  • Pages : 823
  • ISBN 10 : 9781560803171

Seismic Diffraction Excerpt :

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.

Mathematical Models in Boundary Layer Theory Book

Mathematical Models in Boundary Layer Theory

  • Author : V.N. Samokhin
  • Publisher : Routledge
  • Release Date : 2018-05-02
  • Genre: Mathematics
  • Pages : 218
  • ISBN 10 : 9781351433211

Mathematical Models in Boundary Layer Theory Excerpt :

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.

Issues in Logic  Operations  and Computational Mathematics and Geometry  2013 Edition Book

Issues in Logic Operations and Computational Mathematics and Geometry 2013 Edition

  • Author : Anonim
  • Publisher : ScholarlyEditions
  • Release Date : 2013-05-01
  • Genre: Mathematics
  • Pages : 1225
  • ISBN 10 : 9781490110110

Issues in Logic Operations and Computational Mathematics and Geometry 2013 Edition Excerpt :

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

Mathematical Models of Information and Stochastic Systems Book

Mathematical Models of Information and Stochastic Systems

  • Author : Philipp Kornreich
  • Publisher : CRC Press
  • Release Date : 2018-10-03
  • Genre: Mathematics
  • Pages : 376
  • ISBN 10 : 9781420058840

Mathematical Models of Information and Stochastic Systems Excerpt :

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.

Modern Theory of Gratings Book

Modern Theory of Gratings

  • Author : Yuriy K. Sirenko
  • Publisher : Springer
  • Release Date : 2010-07-23
  • Genre: Science
  • Pages : 390
  • ISBN 10 : 9781441912008

Modern Theory of Gratings Excerpt :

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 fie

Research Grants Index Book

Research Grants Index

  • Author : National Institutes of Health (U.S.). Division of Research Grants
  • Publisher : Unknown
  • Release Date : 1966
  • Genre: Medicine
  • Pages : 1264
  • ISBN 10 : IND:30000090423835

Research Grants Index Excerpt :

Energy Research Abstracts Book

Energy Research Abstracts

  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1980
  • Genre: Power resources
  • Pages : null
  • ISBN 10 : MINN:30000010506321

Energy Research Abstracts Excerpt :

Encyclopedia of Optical Engineering  Abe Las  pages 1 1024 Book

Encyclopedia of Optical Engineering Abe Las pages 1 1024

  • Author : Ronald G. Driggers
  • Publisher : CRC Press
  • Release Date : 2003
  • Genre: Optical engineering
  • Pages : 1244
  • ISBN 10 : 0824742508

Encyclopedia of Optical Engineering Abe Las pages 1 1024 Excerpt :


Mathematical Foundations of Imaging  Tomography and Wavefield Inversion Book

Mathematical Foundations of Imaging Tomography and Wavefield Inversion

  • Author : Anthony J. Devaney
  • Publisher : Cambridge University Press
  • Release Date : 2012-06-21
  • Genre: Science
  • Pages : null
  • ISBN 10 : 9781139510141

Mathematical Foundations of Imaging Tomography and Wavefield Inversion Excerpt :

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

Finite Element Methods for Maxwell s Equations Book

Finite Element Methods for Maxwell s Equations

  • Author : Peter Monk
  • Publisher : Clarendon Press
  • Release Date : 2003-04-17
  • Genre: Mathematics
  • Pages : 468
  • ISBN 10 : 9780191545221

Finite Element Methods for Maxwell s Equations Excerpt :

Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell's equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book finishes with a short introduction to inverse problems in electromagnetism.