Mathematical Modeling in Diffraction Theory

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

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  • Author : Alexander G. Kyurkchan
  • Publisher : Elsevier
  • Pages : 280 pages
  • ISBN : 0128037482
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKMathematical Modeling in Diffraction Theory

Mathematical Modeling in Diffraction Theory

Mathematical Modeling in Diffraction Theory
  • Author : Alexander G. Kyurkchan,Nadezhda I. Smirnova
  • Publisher : Elsevier
  • Release : 19 September 2015
GET THIS BOOKMathematical Modeling in Diffraction Theory

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

The Generalized Multipole Technique for Light Scattering

The Generalized Multipole Technique for Light Scattering
  • Author : Thomas Wriedt,Yuri Eremin
  • Publisher : Springer
  • Release : 09 March 2018
GET THIS BOOKThe Generalized Multipole Technique for Light Scattering

This book presents the Generalized Multipole Technique as a fast and powerful theoretical and computation tool to simulate light scattering by nonspherical particles. It also demonstrates the considerable potential of the method. In recent years, the concept has been applied in new fields, such as simulation of electron energy loss spectroscopy and has been used to extend other methods, like the null-field method, making it more widely applicable. The authors discuss particular implementations of the GMT methods, such as the

Seismic Diffraction

Seismic Diffraction
  • Author : Tijmen Jan Moser,Michael A. Pelissier
  • Publisher : SEG Books
  • Release : 30 June 2016
GET THIS BOOKSeismic Diffraction

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

On the Kraus-Levine Diffraction Model: A Mathematical Theory of Conic-Tip Diffraction

On the Kraus-Levine Diffraction Model: A Mathematical Theory of Conic-Tip Diffraction
  • Author : Joel Carroll,NAVAL UNDERSEA CENTER SAN DIEGO CALIF.
  • Publisher : Unknown Publisher
  • Release : 16 May 1973
GET THIS BOOKOn the Kraus-Levine Diffraction Model: A Mathematical Theory of Conic-Tip Diffraction

In 1961, Kraus and Levine developed a mathematical model for diffraction by an elliptic cone, which included a plane angular sector as the degenerate case. Satterwhite and Kouyoumjian relied heavily upon this development as a basis for much of the work in their 1970 report which deals with the degenerate case. The report is an outgrowth of the Kraus-Levine model in an effort to further clarify the analytical theory. In particular, special attention has been given to a class of integrals which

Mathematical Models of Information and Stochastic Systems

Mathematical Models of Information and Stochastic Systems
  • Author : Philipp Kornreich
  • Publisher : CRC Press
  • Release : 03 October 2018
GET THIS BOOKMathematical Models of Information and Stochastic Systems

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

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

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition
  • Author : Anonim
  • Publisher : ScholarlyEditions
  • Release : 01 May 2013
GET THIS BOOKIssues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition

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

Mathematical Theory of Diffraction

Mathematical Theory of Diffraction
  • Author : Arnold Sommerfeld
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKMathematical Theory of Diffraction

A. Sommerfeld's "Mathematische Theorie der Diffraction" marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. This complete translation, reflecting substantial scholarship,

Mathematical Models in Boundary Layer Theory

Mathematical Models in Boundary Layer Theory
  • Author : V.N. Samokhin
  • Publisher : Routledge
  • Release : 02 May 2018
GET THIS BOOKMathematical Models in Boundary Layer Theory

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

MATHEMATICAL MODELS – Volume II

MATHEMATICAL MODELS – Volume II
  • Author : Jerzy A. Filar,Jacek B Krawczyk
  • Publisher : EOLSS Publications
  • Release : 19 September 2009
GET THIS BOOKMATHEMATICAL MODELS – Volume II

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical

Modern Theory of Gratings

Modern Theory of Gratings
  • Author : Yuriy K. Sirenko,Staffan Ström
  • Publisher : Springer
  • Release : 23 July 2010
GET THIS BOOKModern Theory of Gratings

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