Canonical Problems In Scattering And Potential Theory Part 1


Canonical Problems In Scattering And Potential Theory Part 1
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Canonical Problems In Scattering And Potential Theory Part 1


Canonical Problems In Scattering And Potential Theory Part 1
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Author : S.S. Vinogradov
language : en
Publisher: CRC Press
Release Date : 2001-05-30

Canonical Problems In Scattering And Potential Theory Part 1 written by S.S. Vinogradov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-30 with Mathematics categories.


Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers



Canonical Problems In Scattering And Potential Theory Part Ii


Canonical Problems In Scattering And Potential Theory Part Ii
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Author : S.S. Vinogradov
language : en
Publisher: CRC Press
Release Date : 2002-04-29

Canonical Problems In Scattering And Potential Theory Part Ii written by S.S. Vinogradov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-29 with Mathematics categories.


Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers



Canonical Problems In Scattering And Potential Theory Two Volume Set


Canonical Problems In Scattering And Potential Theory Two Volume Set
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Author : S.S. Vinogradov
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2002-04-26

Canonical Problems In Scattering And Potential Theory Two Volume Set written by S.S. Vinogradov and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-26 with Mathematics categories.


Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers with comprising edges and other complex cavity features. It is an authoritative account of mathematical developments over the last two decades that provides benchmarks against which solutions obtained by numerical methods can be verified. The first volume, Canonical Structures in Potential Theory, develops the mathematics, solving mixed boundary potential problems for structures with cavities and edges. The second volume, Acoustic and Electromagnetic Diffraction by Canonical Structures, examines the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. Together these volumes present an authoritative and unified treatment of potential theory and diffraction-the first complete description quantifying the scattering mechanisms in complex structures.



Canonical Problems In Scattering And Potential Theory


Canonical Problems In Scattering And Potential Theory
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Author : S.S. Vinogradov
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2002-04-29

Canonical Problems In Scattering And Potential Theory written by S.S. Vinogradov and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-29 with Mathematics categories.


Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers with comprising edges and other complex cavity features. It is an authoritative account of mathematical developments over the last two decades that provides benchmarks against which solutions obtained by numerical methods can be verified. The first volume, Canonical Structures in Potential Theory, develops the mathematics, solving mixed boundary potential problems for structures with cavities and edges. The second volume, Acoustic and Electromagnetic Diffraction by Canonical Structures, examines the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. Together these volumes present an authoritative and unified treatment of potential theory and diffraction-the first complete description quantifying the scattering mechanisms in complex structures.



Modern Theory Of Gratings


Modern Theory Of Gratings
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Author : Yuriy K. Sirenko
language : en
Publisher: Springer
Release Date : 2010-07-23

Modern Theory Of Gratings written by Yuriy K. Sirenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with Science categories.


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.



Advanced Electromagnetic Waves


Advanced Electromagnetic Waves
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Author : Saad Bashir
language : en
Publisher: BoD – Books on Demand
Release Date : 2015-11-18

Advanced Electromagnetic Waves written by Saad Bashir and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-18 with Technology & Engineering categories.


This book endeavors to give the reader a strong base in the advanced theory of electromagnetic waves and its applications, while keeping pace with research in various other disciplines that apply electrostatics/electrodynamics theory. The treatment is highly mathematical, which tends to obscure the principles involved.



Progress In Industrial Mathematics At Ecmi 2004


Progress In Industrial Mathematics At Ecmi 2004
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Author : Alessandro Di Bucchianico
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-09

Progress In Industrial Mathematics At Ecmi 2004 written by Alessandro Di Bucchianico and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-09 with Mathematics categories.


ECMI has a brand name in Industrial Mathematics and organises successful biannual conferences. This time, the conference on Industrial Mathematics held in Eindhoven in June 2004 Mathematics focused on Aerospace, Electronic Industry, Chemical Technology, Life Sciences, Materials, Geophysics, Financial Mathematics and Water flow. The majority of the invited talks on these topics can be found in these proceedings. Apart from these lectures, a large number of contributed papers and minisymposium papers are included here. They give an interesting (and impressive) overview of the important place mathematics has achieved in solving all kinds of problems met in industry, and commerce in particular.



Optical Waveguide Theory


Optical Waveguide Theory
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Author : Yury Shestopalov
language : en
Publisher: Springer Nature
Release Date : 2022-03-26

Optical Waveguide Theory written by Yury Shestopalov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-26 with Science categories.


This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.



Ultra Wideband Short Pulse Electromagnetics 9


Ultra Wideband Short Pulse Electromagnetics 9
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Author : Frank Sabath
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-17

Ultra Wideband Short Pulse Electromagnetics 9 written by Frank Sabath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-17 with Science categories.


Ultra-wideband (UWB), short-pulse (SP) electromagnetics are now being used for an increasingly wide variety of applications, including collision avoidance radar, concealed object detection, and communications. Notable progress in UWB and SP technologies has been achieved by investigations of their theoretical bases and improvements in solid-state manufacturing, computers, and digitizers. UWB radar systems are also being used for mine clearing, oil pipeline inspections, archeology, geology, and electronic effects testing. Ultra-wideband Short-Pulse Electromagnetics 9 presents selected papers of deep technical content and high scientific quality from the UWB-SP9 Conference, which was held from July 21-25, 2008, in Lausanne, Switzerland. The wide-ranging coverage includes contributions on electromagnetic theory, time-domain computational techniques, modeling techniques, antennas, pulsed-power, UWB interactions, radar systems, UWB communications, broadband systems and components. This book serves as a state-of-the-art reference for scientists and engineers working in these applications areas.



Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik


Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik
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Author : Gesellschaft für Angewandte Mathematik und Mechanik
language : en
Publisher:
Release Date : 2000

Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik written by Gesellschaft für Angewandte Mathematik und Mechanik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.