Spectral Theory And Excitation Of Open Structures

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Spectral Theory And Excitation Of Open Structures
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Author : V. P. Shestopalov
language : en
Publisher: IET
Release Date : 1996
Spectral Theory And Excitation Of Open Structures written by V. P. Shestopalov and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Open resonators, open waveguides and open diffraction gratings are used extensively in modern millimetre and submillemetre technology, spectroscopy and radio engineering. In this book, the physical processes in these open electromagnetic structures are analysed using a specially constructed spectral theory.
Physical Foundations Of The Millimeter And Submillimeter Waves Technique V 1
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Author : V. P. Ščestopalov
language : en
Publisher: VSP
Release Date : 1997
Physical Foundations Of The Millimeter And Submillimeter Waves Technique V 1 written by V. P. Ščestopalov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
The developments in physics, biology and astronomy, as well as radar and communication technology, remote sensing and spectroscopy have led to a sharp increase in the investigations of electromagnetic millimeter and submillimeter waves with the lengths 10--1 and 1--0.1 mm. These volumes reflect the results of extensive research in this field and attempt to destroy stereotypes established during the long years of large-scale modeling in the millimeter and submillimeter wavelength ranges and to develop new concepts. The first volume (Open Structures) deals with the results of theoretical and experimental studies of open electrodynamic structures (open waveguides, open resonators, diffractional gratings) allowing the determination of the characteristics of various devices used in millimeter and submillimeter technology. The second volume (Sources. Element Base. Radio Systems: Novel Scientific Trends) presents the problems of creating independent units and radiosystems of the millimeter and submillimeter wavelength ranges and the justification of their physical operating principles. This includes the mechanism of generating volume waves by electron flows moving close to a grating, excitation of fields in open resonators and waveguides with inclusion, and other phenomena.
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.
Layer Potential Techniques In Spectral Analysis
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Author : Habib Ammari
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Layer Potential Techniques In Spectral Analysis written by Habib Ammari and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Since the early part of the twentieth century, the use of integral equations has developed into a range of tools for the study of partial differential equations. This includes the use of single- and double-layer potentials to treat classical boundary value problems. The aim of this book is to give a self-contained presentation of an asymptotic theory for eigenvalue problems using layer potential techniques with applications in the fields of inverse problems, band gap structures, and optimal design, in particular the optimal design of photonic and phononic crystals. Throughout this book, it is shown how powerful the layer potentials techniques are for solving not only boundary value problems but also eigenvalue problems if they are combined with the elegant theory of Gohberg and Sigal on meromorphic operator-valued functions. The general approach in this book is developed in detail for eigenvalue problems for the Laplacian and the Lame system in the following two situations: one under variation of domains or boundary conditions and the other due to the presence of inclusions. The book will be of interest to researchers and graduate students working in the fields of partial differential equations, integral equations, and inverse problems. Researchers in engineering and physics may also find this book helpful.
Logarithmic Integral Equations In Electromagnetics
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Author : Yu. V. Shestopalov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Logarithmic Integral Equations In Electromagnetics written by Yu. V. Shestopalov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.
No detailed description available for "Logarithmic Integral Equations in Electromagnetics".
Modeling And Analysis Of Transient Processes In Open Resonant Structures
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Author : Yuriy K. Sirenko
language : en
Publisher: Springer
Release Date : 2007-04-03
Modeling And Analysis Of Transient Processes In Open Resonant Structures 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 2007-04-03 with Science categories.
This book describes a systematic approach to scattering of transient fields which can be introduced in undergraduate or graduate courses. The initial boundary value problems considered describe the transient electromagnetic fields formed by open periodic, compact, and waveguide resonators. The methods developed and the mathematical and physical results obtained provide a basis on which a modern theory for the scattering of resonant non-harmonic waves can be developed.
The Maz Ya Anniversary Collection
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Author : Jürgen Rossmann
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Maz Ya Anniversary Collection written by Jürgen Rossmann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
During the week of August 31 - September 4, 1998, a conference in honour of Vladimir Maz'ya was held in Rostock as a satellite meeting of the World Congress of Mathematicians. It was sponsored by the German Research Founda tion (Deutsche Forschungsgemeinschaft) and the Ministry of Education and Cul tural Affairs of the land Mecklenburg-Vorpommern. During his forty year career Maz'ya contributed to so many areas of mathematical analysis that such a broad topic of the conference as "Functional Analysis, Partial Differential Equations and Applications" sounds quite nat~al. The conference was organized by the Depart ment of Mathematics of the University of Rostock and the Weierstrass Institute of Applied Analysis and Stochastics in Berlin on the occasion of his 60th birth day. For many years Maz'ya was connected with mathematicians from Berlin and Rostock through his work in potential theory, in differential and pseudodifferen tial equations and in approximation theory. In 1990 he was awarded an honorary doctorate by the University of Rostock. Shortly before the meeting, one of its organizers, an outstanding mathematician and Maz'ya's dear friend, Siegfried Pr6Bdorf died. This was a heavy loss for the and for the conference in particular. During the German mathematical community meeting the rector of the University of Rostock, Prof. Wildenhain, the director of the Weierstrass Institute, Prof. Sprekels, and Prof. Maz'ya remembered S. Pr6Bdorf very warmly. The conference was attended by 109 mathematicians from 21 countries, and the program included 24 invited lectures and 63 short communications.
Radio Science
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Author :
language : en
Publisher:
Release Date : 2007
Radio Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Electronic journals categories.
Mathematical And Computational Methods In Photonics And Phononics
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Author : Habib Ammari
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-10-15
Mathematical And Computational Methods In Photonics And Phononics written by Habib Ammari and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-15 with Mathematics categories.
The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics. An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.
Principles Of Planar Near Field Antenna Measurements
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Author : Stuart Gregson
language : en
Publisher: IET
Release Date : 2007-12-31
Principles Of Planar Near Field Antenna Measurements written by Stuart Gregson and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Technology & Engineering categories.
This single volume provides a comprehensive introduction and explanation of both the theory and practice of 'Planar Near-Field Antenna Measurement' from its basic postulates and assumptions, to the intricacies of its deployment in complex and demanding measurement scenarios. To do this the book initially examines the properties of antennas that allow them to enhance the free space interaction of electronic systems and this leads into a full description of the theory of 'Planar Near-Field Scanning'.