Spectral Theory and Excitation of Open Structures PDF Download
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Author: V. P. Shestopalov
Publisher: IET
ISBN: 9780852968765
Category : Mathematics
Languages : en
Pages : 420
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Book Description
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.
Author: V. P. Shestopalov
Publisher: IET
ISBN: 9780852968765
Category : Mathematics
Languages : en
Pages : 420
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Book Description
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.
Author: Yury Shestopalov
Publisher: Springer Nature
ISBN: 9811905843
Category : Science
Languages : en
Pages : 269
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Book Description
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.
Author: Habib Ammari
Publisher: American Mathematical Soc.
ISBN: 0821847848
Category : Mathematics
Languages : en
Pages : 211
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Book Description
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.
Author: Yu. V. Shestopalov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110942054
Category : Mathematics
Languages : en
Pages : 132
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Book Description
No detailed description available for "Logarithmic Integral Equations in Electromagnetics".
Author: Tullio Rozzi
Publisher: IET
ISBN: 9780852967638
Category : Science
Languages : en
Pages : 264
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Book Description
Rozzi and Farina (electromagnetics, U. of Ancona, Italy) address the challenges involved in combining the fields of electromagnetics and complex circuit modeling that have arisen with the emergence of very high-speed digital circuits. Specifically, they examine the analytical techniques encompassing the linear modeling of passive and active structures, discussing passive and active planar waveguides on multilayer substrates, with both 2D and 3D analysis. Distributed by INSPEC. Annotation copyrighted by Book News, Inc., Portland, OR
Author: V. P. Ščestopalov
Publisher: VSP
ISBN: 9789067642156
Category : Science
Languages : en
Pages : 234
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Book Description
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.
Author: Habib Ammari
Publisher: American Mathematical Soc.
ISBN: 1470448009
Category : Mathematics
Languages : en
Pages : 522
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Book Description
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.
Author: B. Z. Katsenelenbaum
Publisher: IET
ISBN: 9780852969182
Category : Mathematics
Languages : en
Pages : 278
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Book Description
This book presents and develops the mathematical tools required to effectively examine and analyse propagation processes of waves of various natures using the cross section method, in artificial and non-artificial waveguides. These techniques are used in the solution of practical situations in various fields, such as plasma heating in nuclear fusion, materials processing and radar and satellite communication systems.
Author: A. H. Sihvola
Publisher: IET
ISBN: 9780852967720
Category : Mathematics
Languages : en
Pages : 326
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Book Description
This book covers the homogenization principles and mixing rules for determining the macroscopic dielectric and magnetic properties of different types of media. Sihvola (electromagnetics, Helsinki U. of Technology, Finland) discusses subjects such as the characteristic differences between a mixture and its parts, and ways that mixing results are applied to different materials in geophysics and biology. Distributed by INSPEC. Annotation copyrighted by Book News, Inc., Portland, OR
Author: L. W Barclay
Publisher: IET
ISBN: 0852961022
Category : Science
Languages : en
Pages : 482
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Book Description
This book has been fully updated to reflect the latest developments in the field of radio communications. This book introduces the basic concepts and mechanisms of radiowave propagation engineering in both the troposphere and ionosphere, and includes greater emphasis on the needs of digital technologies and new kinds of radio systems.
