Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert

• Record Nr.: UNISA996212468103316
• Autore: Pregla Reinhold
• Pubbl/distr/stampa: Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008
• ISBN: 1-282-34623-7; 9786612346231; 0-470-05850-1; 0-470-05851-X
• Descrizione fisica: 1 online resource (523 p.)
• Collana: RSP ; ; v.21
• Altri autori (Persone): HelfertStefan
• Disciplina: 530.14/1; 530.141
• Soggetti: Electromagnetic devices - Mathematical models; Electromagnetism - Mathematics; Differential equations, Partial - Numerical solutions
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Analysis of Electromagnetic Fields and Waves; Contents; D EQUIVALENT CIRCUITS FOR DISCONTINUITIES; Preface; 1 THE METHOD OF LINES; 1.1 INTRODUCTION; 1.2 MOL: FUNDAMENTALS OF DISCRETISATION; 1.2.1 Qualitative description; 1.2.2 Quantitative description of the discretisation; 1.2.3 Numerical example; 2 BASIC PRINCIPLES OF THE METHOD OF LINES; 2.1 INTRODUCTION; 2.2 BASIC EQUATIONS; 2.2.1 Anisotropicmaterial parameters; 2.2.2 Relations between transversal electric and magnetic fields - generalised transmission line (GTL) equations; 2.2.3 Relation to the analysis with vector potentials; 2.2.4 GTL equations for 2D structures2.2.5 Solution of the GTL equations; 2.2.6 Numerical examples; 2.3 EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS; 2.3.1 Introduction; 2.3.2 Analysis equations for eigenmodes in planar structures; 2.3.3 Examples of system equations; 2.3.4 Impedance/admittance transformation in multilayered structures; 2.3.5 ; System equation in transformed domain; 2.3.6 System equation in spatial domain; 2.3.7 Matrix partition technique: two examples; 2.3.8 Numerical results; 2.4 ANALYSIS OF PLANAR CIRCUITS; 2.4.1 Discretisation of the transmission line equations2.4.2 Determination of the field components; 2.5 FIELD AND IMPEDANCE/ADMITTANCE TRANSFORMATION; 2.5.1 Introduction; 2.5.2 Impedance/admittance transformation in multilayered and multisectioned structures; 2.5.3 Impedance/admittance transformation with finite differences; 2.5.4 Stable field transformation through layers and sections; 3 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS; 3.1 INTRODUCTION; 3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS; 3.2.1 LSM and LSE modes in circular waveguide bends; 3.2.2 LSM and LSE modes in straight waveguides; 3.2.3 Impedance transformation at waveguide interfaces3.2.4 Numerical results for concatenations; 3.2.5 Numerical results for waveguide filters; 3.3 WAVEGUIDE JUNCTIONS; 3.3.1 E-plane junctions; 3.3.2 H-plane junctions; 3.3.3 Algorithm for generalised scattering parameters; 3.3.4 Special junctions: E-plane 3-port junction; 3.3.5 Matched E-plane bend; 3.3.6 Analysis of waveguide bend discontinuities; 3.3.7 Scattering parameters; 3.3.8 Numerical results; 3.4 ANALYSIS OF 3D WAVEGUIDE JUNCTIONS; 3.4.1 General description; 3.4.2 Basic equations; 3.4.3 Discretisation scheme for propagation between A and B3.4.4 Discontinuities; 3.4.5 Coupling to other ports; 3.4.6 Impedance/admittance transformation; 3.4.7 Numerical results; 4 ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES; 4.1 INTRODUCTION; 4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS; 4.2.1 Material parameters in a cylindrical coordinate system; 4.2.2 GTL equations for z-direction; 4.2.3 GTL equations for φ-direction; 4.2.4 Analysis of circular (coaxial) waveguides with azimuthally-magnetised ferrites and azimuthallymagnetised solid plasma; 4.2.5 GTL equations for r-direction
• Sommario/riassunto: The Method of Lines (MOL) is a versatile approach to obtaining numerical solutions to partial differential equations (PDEs) as they appear in dynamic and static problems. This method, popular in science and engineering, essentially reduces PDEs to a set of ordinary differential equations that can be integrated using standard numerical integration methods. Its significant advantage is that the analysis algorithms follow the physical wave propagation and are therefore efficient. This is because the fields on the discretisation lines are described by generalised transmission line (GTL) equations.