Analysis of Electromagnetic Waves
The Method of Lines
(Sprache: Englisch)
Analysis of Electromagnetic Waves describes the general analysis principles for electromagnetic fields, principally with applications in microwave, millimetre wave and optical frequency regions, but also for static problems.
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Analysis of Electromagnetic Waves describes the general analysis principles for electromagnetic fields, principally with applications in microwave, millimetre wave and optical frequency regions, but also for static problems.
Klappentext zu „Analysis of Electromagnetic Waves “
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. With this formulation we have a connection to the well known transmission line theory and resulting in an easy understanding.The method of lines is a very accurate and powerful way to analyze electromagnetic waves, enabling a full-wave solution without the computational burden of pure finite element or finite difference methods.
With Analysis of Electromagnetic Fields and Waves, Reinhold Pregla describes an important and powerful method for analyzing electromagnetic waves. This book:
* Describes the general analysis principles for electromagnetic fields.
* Includes applications in microwave, millimetre wave and optical frequency regions.
* Unifies the analysis by introducing generalised transmission line (GTL) equations for all orthogonal coordinate systems and with materials of arbitrary anisotropy as a common start point.
* Demonstrates a unique analysis principle with the numerical stable impedance/admittance transformation and a physical adapted field transformation concept that is also useful for other modelling algorithms.
* Includes chapters on Eigenmode calculations for various waveguides, concatenations and junctions of arbitrary number of different waveguide sections in complex devices, periodic structures (e.g. Bragg gratings, meander lines, clystron resonators, photonic crystals), antennas (e.g. circular and conformal).
* Enables
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the reader to solve partial differential equations in other physical areas by using the described principles.
* Features an accompanying website with program codes in Matlab(c) for special problems.
Analysis of Electromagnetic Fields and Waves will appeal to electromagnetic field practitioners in primary and applied research as well as postgraduate students in the areas of photonics, micro- and millimetre waves, general electromagnetics, e.g. microwave integrated circuits, antennas, integrated and fibre optics, optoelectronics, nanophotonics, microstructures, artificial materials
* Features an accompanying website with program codes in Matlab(c) for special problems.
Analysis of Electromagnetic Fields and Waves will appeal to electromagnetic field practitioners in primary and applied research as well as postgraduate students in the areas of photonics, micro- and millimetre waves, general electromagnetics, e.g. microwave integrated circuits, antennas, integrated and fibre optics, optoelectronics, nanophotonics, microstructures, artificial materials
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Analysis of Electromagnetic Waves describes the general analysis principles for electromagnetic fields, principally with applications in microwave, millimetre wave and optical frequency regions, but also for static problems. Generalised transmission line equations have been formulated in arbitary orthogonal co-ordinates, which are of general importance. Based on these equations numerically stable impedance/ admittance transformation formulas are developed in the scheme of the method of lines (MoL).
Analysis of Electromagnetic Wave, The Method of Lines demonstrates a unique analysis principle that is also important and useful for other modelling algorithms. For special problems, program codes in Matlab(c) will be included.
Analysis of Electromagnetic Wave, The Method of Lines demonstrates a unique analysis principle that is also important and useful for other modelling algorithms. For special problems, program codes in Matlab(c) will be included.
Inhaltsverzeichnis zu „Analysis of Electromagnetic Waves “
- Contents- Preface
1 THE METHOD OF LINES
1.1 INTRODUCTION
1.2 MOL: FUNDAMENTALS OF DISCRETISATION
2 BASIC PRINCIPLES OF THE METHOD OF LINES
2.1 INTRODUCTION
2.2 BASIC EQUATIONS
2.3 EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS
2.4 ANALYSIS OF PLANAR CIRCUITS
2.5 FIELD AND IMPEDANCE/ADMITTANCE TRANSFORMATION
3 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS
3.1 INTRODUCTION
3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS
3.3 WAVEGUIDE JUNCTIONS
3.4 ANALYSIS OF 3D WAVEGUIDE JUNCTIONS
4 ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES
4.1 INTRODUCTION
4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS
4.3 DISCRETISATION OF THE FIELDS AND SOLUTIONS
4.4 SOLUTION IN RADIAL DIRECTION
4.5 DISCONTINUITIES IN CIRCULAR WAVEGUIDES - ONE-DIMENSIONAL DISCRETISATION IN RADIAL DIRECTION
4.6 ANALYSIS OF GENERAL AXIALLY SYMMETRIC ANTENNAS WITH COAXIAL FEED LINES
4.7 DEVICES IN CYLINDRICAL COORDINATES - TWO-DIMENSIONAL DISCRETISATION
5 ANALYSIS OF PERIODIC STRUCTURES
5.1 INTRODUCTION
5.2 PRINCIPLE BEHAVIOUR OF PERIODIC STRUCTURES
5.3 GENERAL THEORY OF PERIODIC STRUCTURES
5.4 NUMERICAL RESULTS FOR PERIODIC STRUCTURES IN ONE DIRECTION
5.5 ANALYSIS OF PHOTONIC CRYSTALS
6 ANALYSIS OF COMPLEX STRUCTURES
6.1 LAYERS OF VARIABLE THICKNESS
6.2 MICROSTRIP SHARP BEND
6.3 IMPEDANCE TRANSFORMATION AT DISCONTINUITIES
6.4 ANALYSIS OF PLANAR WAVEGUIDE JUNCTIONS
6.5 NUMERICAL RESULTS
7 PRECISE RESOLUTION WITH AN ENHANCED AND GENERALISED LINE ALGORITHM
7.1 INTRODUCTION
7.2 CROSSED DISCRETISATION LINES AND CARTESIAN COORDINATES
7.3 SPECIAL STRUCTURES IN CARTESIAN COORDINATES
7.4 CROSSED DISCRETISATION LINES AND CYLINDRICAL COORDINATES
7.5 NUMERICAL RESULTS
8 WAVEGUIDE STRUCTURES WITH MATERIALS OF GENERAL ANISOTROPY IN ARBITRARY ORTHOGONAL COORDINATE SYSTEMS
8.1 GENERALISED TRANSMISSION LINE EQUATIONS
8.2 DISCRETISATION
8.3 SOLUTION OF THE DIFFERENTIAL EQUATIONS
8.4 ANALYSIS OF WAVEGUIDE JUNCTIONS AND SHARP BENDS WITH
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GENERAL ANISOTROPIC MATERIAL BY USING ORTHOGONAL PROPAGATING WAVES
8.5 NUMERICAL RESULTS
8.6 ANALYSIS OF WAVEGUIDE STRUCTURES IN SPHERICAL COORDINATES
8.7 ELLIPTICAL COORDINATES
9 SUMMARY AND PROSPECT FOR THE FUTURE
- A DISCRETISATION SCHEMES AND DIFFERENCE OPERATORS
- A.1 DETERMINATION OF THE EIGENVALUES AND EIGENVECTORS OF P
- A.2 ABSORBING BOUNDARY CONDITIONS (ABCs)
- A.3 HIGHER-ORDER DIFFERENCE OPERATORS [11]
- A.4 NON-EQUIDISTANT DISCRETISATION
- A.5 REFLECTIONS IN DISCRETISATION GRIDS
- A.6 FIELD EXTRAPOLATION FOR NEUMANN BOUNDARY CONDITIONS
- A.7 ABOUT THE NATURE OF THE METHOD OF LINES
- A.8 RELATION BETWEEN THE MODE MATCHING METHOD (MMM) AND THE METHOD OF LINES (MoL) FOR INHOMOGENEOUSMEDIA
- A.9 RECIPROCITYAND ITS CONSEQUENCES
- B TRANSMISSION LINE EQUATIONS
- B.1 TRANSMISSION LINE EQUATIONS IN FIELD VECTOR NOTATION
- B.2 DERIVATION OF THE MULTICONDUCTOR TRANSMISSION LINE EQUATIONS
- C SCATTERING PARAMETERS
- D EQUIVALENT CIRCUITS FOR DISCONTINUITIES
- E APPROXIMATE METALLIC LOSS CALCULATION IN CONFORMAL STRUCTURES
8.5 NUMERICAL RESULTS
8.6 ANALYSIS OF WAVEGUIDE STRUCTURES IN SPHERICAL COORDINATES
8.7 ELLIPTICAL COORDINATES
9 SUMMARY AND PROSPECT FOR THE FUTURE
- A DISCRETISATION SCHEMES AND DIFFERENCE OPERATORS
- A.1 DETERMINATION OF THE EIGENVALUES AND EIGENVECTORS OF P
- A.2 ABSORBING BOUNDARY CONDITIONS (ABCs)
- A.3 HIGHER-ORDER DIFFERENCE OPERATORS [11]
- A.4 NON-EQUIDISTANT DISCRETISATION
- A.5 REFLECTIONS IN DISCRETISATION GRIDS
- A.6 FIELD EXTRAPOLATION FOR NEUMANN BOUNDARY CONDITIONS
- A.7 ABOUT THE NATURE OF THE METHOD OF LINES
- A.8 RELATION BETWEEN THE MODE MATCHING METHOD (MMM) AND THE METHOD OF LINES (MoL) FOR INHOMOGENEOUSMEDIA
- A.9 RECIPROCITYAND ITS CONSEQUENCES
- B TRANSMISSION LINE EQUATIONS
- B.1 TRANSMISSION LINE EQUATIONS IN FIELD VECTOR NOTATION
- B.2 DERIVATION OF THE MULTICONDUCTOR TRANSMISSION LINE EQUATIONS
- C SCATTERING PARAMETERS
- D EQUIVALENT CIRCUITS FOR DISCONTINUITIES
- E APPROXIMATE METALLIC LOSS CALCULATION IN CONFORMAL STRUCTURES
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Autoren-Porträt von Reinhold Pregla
Univ. Prof. Dr.-Ing. Reinhold Pregla ist Lehrstuhlinhaber für Allgemeine und Theoretische Elektrotechnik im Fachbereich Elektrotechnik und Informationstechnik der FernUniversität in Hagen.
Bibliographische Angaben
- Autor: Reinhold Pregla
- 2008, 1. Auflage, 288 Seiten, Maße: 25,4 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0470033606
- ISBN-13: 9780470033609
- Erscheinungsdatum: 12.08.2008
Sprache:
Englisch
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