Yuriy K. Sirenko, Staffan Ström, Nataliya P. Yashina

Modeling and Analysis of Transient Processes in Open Resonant Structures

New Methods and Techniques

• Broschiertes Buch

Produktbeschreibung

The focus of electromagnetic theory is initial boundary value and boundary value problems for the Maxwell equations. Those are the initial models, from which, by applying mathematical methods, we should extract physical results. The modern computer-aided research process can be divided into several stages: qualitative mathematical analysis of the initial problem, the development of algorithms and implementation of the problem in software, problem-oriented computational - periments, and physical interpretation of the results. The success of the study depends in many aspects on whether suf?ciently high standards of investigation can be maintained at all these stages and whether there is an "intellectual core" in these investigations that enables us to gain new scienti?c knowledge [1]. As an exampleofasuccessfulimplementationofsuchanapproachthathassettledalo- standing con?ict between theory and experiment, we can cite the development of thetheoryofresonantwavescatteringinthefrequencydomain. Theseresultshave been reported (see [2-16] and the bibliographies contained in those references), andtheyhaveservedasabasisforthedevelopmentofanumberofessentiallynew functional units and devices in millimeter and submillimeter radio engineering, vacuum electronics, and solid-state electronics, optics, and spectroscopy. The modern theory of transient electromagnetic ?elds is still lacking achie- ments that may be compared with those existing in the frequency domain, neither by the profoundness of the study, nor by the intensity of the study of electrom- netic phenomena and, as a result, by their applications. However, the process of accumulation of potentialities for a breakthrough is a process still going on.

Produktdetails

• Springer Series in Optical Sciences 122
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4899-8956-7
• 2007
• Seitenzahl: 368
• Erscheinungstermin: 19. September 2014
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 563g
• ISBN-13: 9781489989567
• ISBN-10: 1489989560
• Artikelnr.: 41522837

Inhaltsangabe

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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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