Spectral Theory And Excitation Of Open Structures

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Spectral Theory and Excitation of Open Structures

Author : V. P. Shestopalov
Publisher : IET
Page : 420 pages
File Size : 44,6 Mb
Release : 1996
Category : Mathematics
ISBN : 0852968760

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Spectral Theory and Excitation of Open Structures by V. P. Shestopalov Pdf

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.

Spectral Theory and Excitation of Open Structures

Author : V. P. Shestopalov
Publisher : Institution of Engineering & Technology
Page : 420 pages
File Size : 55,9 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015038525252

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Spectral Theory and Excitation of Open Structures by V. P. Shestopalov Pdf

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

Author : V. P. Ščestopalov
Publisher : VSP
Page : 234 pages
File Size : 48,8 Mb
Release : 1997
Category : Science
ISBN : 9067642150

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Physical Foundations of the Millimeter and Submillimeter Waves Technique V.1 by V. P. Ščestopalov Pdf

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

Author : Yury Shestopalov,Yury Smirnov,Eugene Smolkin
Publisher : Springer Nature
Page : 269 pages
File Size : 46,9 Mb
Release : 2022-03-26
Category : Science
ISBN : 9789811905841

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Optical Waveguide Theory by Yury Shestopalov,Yury Smirnov,Eugene Smolkin Pdf

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

Author : Habib Ammari,Hyeonbae Kang,Hyundae Lee
Publisher : American Mathematical Soc.
Page : 211 pages
File Size : 43,9 Mb
Release : 2009
Category : Boundary element methods
ISBN : 9780821847848

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Layer Potential Techniques in Spectral Analysis by Habib Ammari,Hyeonbae Kang,Hyundae Lee Pdf

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

Author : Yu. V. Shestopalov,Yu. G. Smirnov,E. V. Chernokozhin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 132 pages
File Size : 40,7 Mb
Release : 2018-11-05
Category : Mathematics
ISBN : 9783110942057

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Logarithmic Integral Equations in Electromagnetics by Yu. V. Shestopalov,Yu. G. Smirnov,E. V. Chernokozhin Pdf

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Advanced Electromagnetic Analysis of Passive and Active Planar Structures

Author : Tullio Rozzi,Marco Farina
Publisher : IET
Page : 264 pages
File Size : 45,7 Mb
Release : 1999
Category : Science
ISBN : 0852967632

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Advanced Electromagnetic Analysis of Passive and Active Planar Structures by Tullio Rozzi,Marco Farina Pdf

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

Mathematical and Computational Methods in Photonics and Phononics

Author : Habib Ammari,Brian Fitzpatrick,Hyeonbae Kang,Matias Ruiz,Sanghyeon Yu,Hai Zhang
Publisher : American Mathematical Soc.
Page : 509 pages
File Size : 54,9 Mb
Release : 2018-10-15
Category : Photonics
ISBN : 9781470448004

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Mathematical and Computational Methods in Photonics and Phononics by Habib Ammari,Brian Fitzpatrick,Hyeonbae Kang,Matias Ruiz,Sanghyeon Yu,Hai Zhang Pdf

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.

Theory of Nonuniform Waveguides

Author : B. Z. Katsenelenbaum
Publisher : IET
Page : 278 pages
File Size : 46,5 Mb
Release : 1998
Category : Mathematics
ISBN : 085296918X

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Theory of Nonuniform Waveguides by B. Z. Katsenelenbaum Pdf

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.

Electromagnetic Mixing Formulas and Applications

Author : A. H. Sihvola
Publisher : IET
Page : 326 pages
File Size : 44,7 Mb
Release : 1999
Category : Mathematics
ISBN : 0852967721

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Electromagnetic Mixing Formulas and Applications by A. H. Sihvola Pdf

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

Propagation of Radiowaves

Author : L. W Barclay
Publisher : IET
Page : 482 pages
File Size : 51,8 Mb
Release : 2003
Category : Science
ISBN : 9780852961025

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Propagation of Radiowaves by L. W Barclay Pdf

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.

Asymptotic and Hybrid Methods in Electromagnetics

Author : I. Andronov,F. Molinet,D. Bouche
Publisher : IET
Page : 263 pages
File Size : 54,5 Mb
Release : 2005-07-18
Category : Science
ISBN : 9780863414473

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Asymptotic and Hybrid Methods in Electromagnetics by I. Andronov,F. Molinet,D. Bouche Pdf

Asymptotic methods provide considerable physical insight and understanding of diffraction mechanisms and are very useful in the design of electromagnetic devices such as radar targets and antennas. However, difficulties can arise when trying to solve problems using multipole and asymoptotic methods together, such as in radar crosssection objects. This new book offers a solution to this problem by combining these approaches into hybrid methods, therefore creating high demand for both understanding and learning how to apply asymptotic and hybrid methods to solve diffraction problems.

Parabolic Equation Methods for Electromagnetic Wave Propagation

Author : Mireille Levy
Publisher : IET
Page : 360 pages
File Size : 42,5 Mb
Release : 2000
Category : Mathematics
ISBN : 0852967640

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Parabolic Equation Methods for Electromagnetic Wave Propagation by Mireille Levy Pdf

Provides scientists and engineers with a tool for accurate assessment of diffraction and ducting on radio and radar systems. The author gives the mathematical background to parabolic equations modeling and describes simple parabolic equation algorithms before progressing to more advanced topics such as domain truncation, the treatment of impedance boundaries, and the implementation of very fast hybrid methods combining ray-tracing and parabolic equation techniques. The last three chapters are devoted to scattering problems, with application to propagation in urban environments and to radar-cross- section computation. Annotation copyrighted by Book News, Inc., Portland, OR

Physical Foundations of the Millimeter and Submillimeter Waves Technique V.2

Author : V. P. Ščestopalov
Publisher : VSP
Page : 262 pages
File Size : 45,7 Mb
Release : 1997-08
Category : Science
ISBN : 9067642525

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Physical Foundations of the Millimeter and Submillimeter Waves Technique V.2 by V. P. Ščestopalov Pdf

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.