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.
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.
Yuriy K Sirenko, National Academy of Sciences, Kharkov, Ukraine / Nataliya P Yashina, National Academy of Sciences, Kharkov, Ukraine / Staffan Ström, Royal Institute of Technology, Stochkholm, Sweden
Inhaltsangabe
Preface.- Numerical analysis of transient processes: fundamental results of the theory, methods and problems. Introduction. Main equations and fundamental results of the theory. Methods of solving initial boundary problems on the basis of space-time representations. Time domain methods.- Waveguides and periodic structures: exact absorbing conditions on virtual boundaries in cross section of a regular wave guiding structures. Introduction. Compact waveguide units. 2-D scalar problems in cylindrical coordinates. Vector problems of the theory of open waveguide resonators. Problems of the electromagnetic theory of gratings.- Compact inhomogeneities in free space: virtual coordinate boundaries in scalar and vector problems of wave scattering theory. Introduction. Exact conditions for artificial boundaries in cylindrical (polar) coordinates. Exact conditions for artificial boundaries in Cartesian coordinates. Vector problems: spherical coordinates. Axially symmetric problems: spherical
Numerical Analysis of Transient Processes: Fundamental Results of the Theory, Methods, and Problems.- Waveguides and Periodic Structures: Exact Absorbing Conditions on Virtual Boundaries in Cross-Section of Regular Waveguiding Structures.- Compact Inhomogeneities in Free Space: Virtual Coordinate Boundaries in Scalar and Vector Problems of Wave Scattering Theory.- The Simplest Modifications of the Exact ABCs Approach and the Associated Numerical Tests.- Transform Operators in Space of Signal's Evolutionary Basis: A Time-Domain Analogue of the Generalized Scattering-Matrix Method.- Open Periodic Resonators and Waveguides: Novel Results in Electromagnetic Theory of Gratings.- Model Synthesis of Resonance Quasi-Optical Devices: Dispersive Open Resonators, Absorbing Coatings, and Pattern-Forming Structures.
Preface.- Numerical analysis of transient processes: fundamental results of the theory, methods and problems. Introduction. Main equations and fundamental results of the theory. Methods of solving initial boundary problems on the basis of space-time representations. Time domain methods.- Waveguides and periodic structures: exact absorbing conditions on virtual boundaries in cross section of a regular wave guiding structures. Introduction. Compact waveguide units. 2-D scalar problems in cylindrical coordinates. Vector problems of the theory of open waveguide resonators. Problems of the electromagnetic theory of gratings.- Compact inhomogeneities in free space: virtual coordinate boundaries in scalar and vector problems of wave scattering theory. Introduction. Exact conditions for artificial boundaries in cylindrical (polar) coordinates. Exact conditions for artificial boundaries in Cartesian coordinates. Vector problems: spherical coordinates. Axially symmetric problems: spherical
Numerical Analysis of Transient Processes: Fundamental Results of the Theory, Methods, and Problems.- Waveguides and Periodic Structures: Exact Absorbing Conditions on Virtual Boundaries in Cross-Section of Regular Waveguiding Structures.- Compact Inhomogeneities in Free Space: Virtual Coordinate Boundaries in Scalar and Vector Problems of Wave Scattering Theory.- The Simplest Modifications of the Exact ABCs Approach and the Associated Numerical Tests.- Transform Operators in Space of Signal's Evolutionary Basis: A Time-Domain Analogue of the Generalized Scattering-Matrix Method.- Open Periodic Resonators and Waveguides: Novel Results in Electromagnetic Theory of Gratings.- Model Synthesis of Resonance Quasi-Optical Devices: Dispersive Open Resonators, Absorbing Coatings, and Pattern-Forming Structures.
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