{"product_id":"analysis-of-electromagnetic-fields-and-waves-isbn-9780470033609","title":"Analysis of Electromagnetic Fields and Waves","description":"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.  \u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003eWith \u003ci\u003eAnalysis of Electromagnetic Fields and Waves,\u003c\/i\u003e Reinhold Pregla describes an important and powerful method for analyzing electromagnetic waves. This book:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eDescribes the general analysis principles for electromagnetic fields.\u003c\/li\u003e \u003cli\u003eIncludes applications in microwave, millimetre wave and optical frequency regions.\u003c\/li\u003e \u003cli\u003eUnifies 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.\u003c\/li\u003e \u003cli\u003eDemonstrates 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.\u003c\/li\u003e \u003cli\u003eIncludes 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).\u003c\/li\u003e \u003cli\u003eEnables the reader to solve partial differential equations in other physical areas by using the described principles.\u003c\/li\u003e \u003cli\u003eFeatures an accompanying website with program codes in Matlab© for special problems.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eAnalysis of Electromagnetic Fields and Waves\u003c\/i\u003e 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. \u003c\/p\u003e  \u003cb\u003ePreface.\u003c\/b\u003e  \u003cp\u003e\u003cb\u003e1 THE METHOD OF LINES.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e1.2 MOL: FUNDAMENTALS OF DISCRETISATION.\u003c\/p\u003e \u003cp\u003e1.2.1 Qualitative description.\u003c\/p\u003e \u003cp\u003e1.2.2 Quantitative description of the discretisation.\u003c\/p\u003e \u003cp\u003e1.2.3 Numerical example.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 BASIC PRINCIPLES OF THE METHOD OF LINES.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e2.2 BASIC EQUATIONS.\u003c\/p\u003e \u003cp\u003e2.2.1 Anisotropic material parameters.\u003c\/p\u003e \u003cp\u003e2.2.2 Relations between transversal electric and magnetic fields – generalised transmission line (GTL) equations.\u003c\/p\u003e \u003cp\u003e2.2.3 Relation to the analysis with vector potentials.\u003c\/p\u003e \u003cp\u003e2.2.4 GTL equations for 2D structures.\u003c\/p\u003e \u003cp\u003e2.2.5 Solution of the GTL equations.\u003c\/p\u003e \u003cp\u003e2.2.6 Numerical examples.\u003c\/p\u003e \u003cp\u003e2.3 EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS.\u003c\/p\u003e \u003cp\u003e2.3.1 Introduction.\u003c\/p\u003e \u003cp\u003e2.3.2 Analysis equations for eigenmodes in planar structures.\u003c\/p\u003e \u003cp\u003e2.3.3 Examples of systemequations.\u003c\/p\u003e \u003cp\u003e2.3.4 Impedance\/admittance transformation in multilayered structures.\u003c\/p\u003e \u003cp\u003e2.3.5 System equation in transformed domain.\u003c\/p\u003e \u003cp\u003e2.3.6 System equation in spatial domain.\u003c\/p\u003e \u003cp\u003e2.3.7 Matrix partition technique: two examples.\u003c\/p\u003e \u003cp\u003e2.3.8 Numerical results.\u003c\/p\u003e \u003cp\u003e2.4 ANALYSIS OF PLANAR CIRCUITS.\u003c\/p\u003e \u003cp\u003e2.4.1 Discretisation of the transmission line equations.\u003c\/p\u003e \u003cp\u003e2.4.2 Determination of the field components.\u003c\/p\u003e \u003cp\u003e2.5 FIELD AND IMPEDANCE\/ADMITTANCE TRANSFORMATION.\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e2.5.1 Introduction.\u003c\/p\u003e \u003cp\u003e2.5.2 Impedance\/admittance transformation in multilayered and multisectioned structures.\u003c\/p\u003e \u003cp\u003e2.5.3 Impedance\/admittance transformation with finite differences.\u003c\/p\u003e \u003cp\u003e2.5.4 Stable field transformation through layers and sections.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS.\u003c\/p\u003e \u003cp\u003e3.2.1 LSM and LSE modes in circular waveguide bends.\u003c\/p\u003e \u003cp\u003e3.2.2 LSM and LSE modes in straight waveguides.\u003c\/p\u003e \u003cp\u003e3.2.3 Impedance transformation at waveguide interfaces.\u003c\/p\u003e \u003cp\u003e3.2.4 Numerical results for concatenations.\u003c\/p\u003e \u003cp\u003e3.2.5 Numerical results for waveguide filters.\u003c\/p\u003e \u003cp\u003e3.3 WAVEGUIDE JUNCTIONS.\u003c\/p\u003e \u003cp\u003e3.3.1 E-plane junctions.\u003c\/p\u003e \u003cp\u003e3.3.2 H-plane junctions.\u003c\/p\u003e \u003cp\u003e3.3.3 Algorithm for generalised scattering parameters.\u003c\/p\u003e \u003cp\u003e3.3.4 Special junctions: E-plane 3-port junction.\u003c\/p\u003e \u003cp\u003e3.3.5 Matched E-plane bend.\u003c\/p\u003e \u003cp\u003e3.3.6 Analysis of waveguide bend discontinuities.\u003c\/p\u003e \u003cp\u003e3.3.7 Scattering parameters.\u003c\/p\u003e \u003cp\u003e3.3.8 Numerical results.\u003c\/p\u003e \u003cp\u003e3.4 ANALYSIS OF 3D WAVEGUIDE JUNCTIONS.\u003c\/p\u003e \u003cp\u003e3.4.1 General description.\u003c\/p\u003e \u003cp\u003e3.4.2 Basic equations.\u003c\/p\u003e \u003cp\u003e3.4.3 Discretisation scheme for propagation between A and B.\u003c\/p\u003e \u003cp\u003e3.4.4 Discontinuities.\u003c\/p\u003e \u003cp\u003e3.4.5 Coupling to other ports.\u003c\/p\u003e \u003cp\u003e3.4.6 Impedance\/admittance transformation.\u003c\/p\u003e \u003cp\u003e3.4.7 Numerical results.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS.\u003c\/p\u003e \u003cp\u003e4.2.1 Material parameters in a cylindrical coordinate system.\u003c\/p\u003e \u003cp\u003e4.2.2 GTL equations for \u003ci\u003ez\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.2.3 GTL equations for \u003ci\u003eφ\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.2.4 Analysis of circular (coaxial) waveguides with azimuthally-magnetised ferrites and azimuthallymagnetised solid plasma.\u003c\/p\u003e \u003cp\u003e4.2.5 GTL equations for \u003ci\u003er\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.3 DISCRETISATION OF THE FIELDS AND SOLUTIONS.\u003c\/p\u003e \u003cp\u003e4.3.1 Equations for propagation in \u003ci\u003ez\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.3.2 Equations for propagation in \u003ci\u003eφ\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.3.3 Solution of the wave equations in \u003ci\u003ez\u003c\/i\u003e- and \u003ci\u003eφ\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.3.4 Equations for propagation in \u003ci\u003er\u003c\/i\u003e -direction.\u003c\/p\u003e \u003cp\u003e4.4 SOLUTION IN RADIAL DIRECTION.\u003c\/p\u003e \u003cp\u003e4.4.1 Discretisation in \u003ci\u003ez\u003c\/i\u003e -direction – circular dielectric resonators.\u003c\/p\u003e \u003cp\u003e4.4.2 Discretisation in \u003ci\u003ez\u003c\/i\u003e -direction – propagation in \u003ci\u003eφ\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.4.3 Discretisation in \u003ci\u003eφ\u003c\/i\u003e-direction – eigenmodes in circular multilayered waveguides.\u003c\/p\u003e \u003cp\u003e4.4.4 Eigenmodes of circular waveguides with magnetised ferrite or plasma – discretisation in \u003ci\u003er\u003c\/i\u003e -direction.\u003c\/p\u003e \u003cp\u003e4.4.5 Waveguide bends – discretisation in \u003ci\u003er\u003c\/i\u003e -direction.\u003c\/p\u003e \u003cp\u003e4.4.6 Uniaxial anisotropic fibres with circular and noncircular cross-section – discretisation in \u003ci\u003eφ\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.5 DISCONTINUITIES IN CIRCULAR WAVEGUIDES – ONE-DIMENSIONAL DISCRETISATION IN RADIAL DIRECTION.\u003c\/p\u003e \u003cp\u003e4.5.1 Introduction.\u003c\/p\u003e \u003cp\u003e4.5.2 Basic equations for rotational symmetry.\u003c\/p\u003e \u003cp\u003e4.5.3 Solution of the equations for rotational symmetry.\u003c\/p\u003e \u003cp\u003e4.5.4 Admittance and impedance transformation.\u003c\/p\u003e \u003cp\u003e4.5.5 Open ending circular waveguide.\u003c\/p\u003e \u003cp\u003e4.5.6 Numerical results for discontinuities in circular waveguides.\u003c\/p\u003e \u003cp\u003e4.5.7 Numerical results for coaxial line discontinuities and coaxial filter devices.\u003c\/p\u003e \u003cp\u003e4.5.8 Non-rotational modes in circular waveguides.\u003c\/p\u003e \u003cp\u003e4.5.9 Numerical results and discussion.\u003c\/p\u003e \u003cp\u003e4.6 ANALYSIS OF GENERAL AXIALLY SYMMETRIC ANTENNAS WITH COAXIAL FEED LINES.\u003c\/p\u003e \u003cp\u003e4.6.1 Introduction.\u003c\/p\u003e \u003cp\u003e4.6.2 Theory.\u003c\/p\u003e \u003cp\u003e4.6.3 Regions with crossed lines.\u003c\/p\u003e \u003cp\u003e4.6.4 Two special cases.\u003c\/p\u003e \u003cp\u003e4.6.5 Port relations of section D.\u003c\/p\u003e \u003cp\u003e4.6.6 Numerical results.\u003c\/p\u003e \u003cp\u003e4.6.7 Further structures and remarks.\u003c\/p\u003e \u003cp\u003e4.7 DEVICES IN CYLINDRICAL COORDINATES –TWO-DIMENSIONAL DISCRETISATION.\u003c\/p\u003e \u003cp\u003e4.7.1 Discretisation in \u003ci\u003er\u003c\/i\u003e- and \u003ci\u003eφ\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.7.2 Numerical results.\u003c\/p\u003e \u003cp\u003e4.7.3 Discretisation in \u003ci\u003er\u003c\/i\u003e- and \u003ci\u003ez\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e4.7.4 Discretisation in \u003ci\u003eφ\u003c\/i\u003e- and \u003ci\u003ez\u003c\/i\u003e -direction.\u003c\/p\u003e \u003cp\u003e4.7.5 GTL equations for \u003ci\u003er\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 ANALYSIS OF PERIODIC STRUCTURES.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e5.2 PRINCIPLE BEHAVIOUR OF PERIODIC STRUCTURES.\u003c\/p\u003e \u003cp\u003e5.3 GENERAL THEORY OF PERIODIC STRUCTURES.\u003c\/p\u003e \u003cp\u003e5.3.1 Port relations for general two ports.\u003c\/p\u003e \u003cp\u003e5.3.2 Floquetmodes for symmetric periods.\u003c\/p\u003e \u003cp\u003e5.3.3 Concatenation of \u003ci\u003eN\u003c\/i\u003e symmetric periods.\u003c\/p\u003e \u003cp\u003e5.3.4 Floquet modes for unsymmetric periods.\u003c\/p\u003e \u003cp\u003e5.3.5 Some further general relations in periodic structures.\u003c\/p\u003e \u003cp\u003e5.4 NUMERICAL RESULTS FOR PERIODIC STRUCTURES IN ONE DIRECTION.\u003c\/p\u003e \u003cp\u003e5.5 ANALYSIS OF PHOTONIC CRYSTALS.\u003c\/p\u003e \u003cp\u003e5.5.1 Determination of band diagrams.\u003c\/p\u003e \u003cp\u003e5.5.2 Waveguide circuits in photonic crystals.\u003c\/p\u003e \u003cp\u003e5.5.3 Numerical results for photonic crystal circuits.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 ANALYSIS OF COMPLEX STRUCTURES.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 LAYERS OF VARIABLE THICKNESS.\u003c\/p\u003e \u003cp\u003e6.1.1 Introduction.\u003c\/p\u003e \u003cp\u003e6.1.2 Matching conditions at curved interfaces.\u003c\/p\u003e \u003cp\u003e6.2 MICROSTRIP SHARP BEND.\u003c\/p\u003e \u003cp\u003e6.3 IMPEDANCE TRANSFORMATION AT DISCONTINUITIES.\u003c\/p\u003e \u003cp\u003e6.3.1 Impedance transformation at concatenated junctions.\u003c\/p\u003e \u003cp\u003e6.4 ANALYSIS OF PLANAR WAVEGUIDE JUNCTIONS.\u003c\/p\u003e \u003cp\u003e6.4.1 Main diagonal submatrices.\u003c\/p\u003e \u003cp\u003e6.4.2 Off-diagonal submatrices – coupling to perpendicular ports.\u003c\/p\u003e \u003cp\u003e6.5 NUMERICAL RESULTS.\u003c\/p\u003e \u003cp\u003e6.5.1 Discontinuities in microstrips.\u003c\/p\u003e \u003cp\u003e6.5.2 Waveguide junctions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 PRECISE RESOLUTION WITH AN ENHANCED AND GENERALISED LINE ALGORITHM.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e7.2 CROSSED DISCRETISATION LINES AND CARTESIAN COORDINATES.\u003c\/p\u003e \u003cp\u003e7.2.1 Theoretical background.\u003c\/p\u003e \u003cp\u003e7.2.2 Lines in vertical direction.\u003c\/p\u003e \u003cp\u003e7.2.3 Lines in horizontal direction.\u003c\/p\u003e \u003cp\u003e7.3 SPECIAL STRUCTURES IN CARTESIAN COORDINATES.\u003c\/p\u003e \u003cp\u003e7.3.1 Groove guide.\u003c\/p\u003e \u003cp\u003e7.3.2 Coplanar waveguide.\u003c\/p\u003e \u003cp\u003e7.4 CROSSED DISCRETISATION LINES AND CYLINDRICAL COORDINATES.\u003c\/p\u003e \u003cp\u003e7.4.1 Principle of analysis.\u003c\/p\u003e \u003cp\u003e7.4.2 General formulas for eigenmode calculation.\u003c\/p\u003e \u003cp\u003e7.4.3 Discretisation lines in radial direction.\u003c\/p\u003e \u003cp\u003e7.4.4 Discretisation lines in azimuthal direction.\u003c\/p\u003e \u003cp\u003e7.4.5 Coupling to neighbouring ports.\u003c\/p\u003e \u003cp\u003e7.4.6 Steps of the analysis procedure.\u003c\/p\u003e \u003cp\u003e7.5 NUMERICAL RESULTS.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 WAVEGUIDE STRUCTURES WITH MATERIALS OF GENERAL ANISOTROPY IN ARBITRARY ORTHOGONAL COORDINATE SYSTEMS.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 GENERALISED TRANSMISSION LINE EQUATIONS.\u003c\/p\u003e \u003cp\u003e8.1.1 Material properties.\u003c\/p\u003e \u003cp\u003e8.1.2 Maxwell’s equations in matrix notation.\u003c\/p\u003e \u003cp\u003e8.1.3 Generalised transmission line equations in Cartesian coordinates for general anisotropic material.\u003c\/p\u003e \u003cp\u003e8.1.4 Generalised transmission line equations for general anisotropic material in arbitrary orthogonal coordinates.\u003c\/p\u003e \u003cp\u003e8.1.5 Boundary conditions.\u003c\/p\u003e \u003cp\u003e8.1.6 Interpolationmatrices.\u003c\/p\u003e \u003cp\u003e8.2 DISCRETISATION.\u003c\/p\u003e \u003cp\u003e8.2.1 Two-dimensional discretisation.\u003c\/p\u003e \u003cp\u003e8.2.2 One-dimensional discretisation.\u003c\/p\u003e \u003cp\u003e8.3 SOLUTION OF THE DIFFERENTIAL EQUATIONS.\u003c\/p\u003e \u003cp\u003e8.3.1 General solution.\u003c\/p\u003e \u003cp\u003e8.3.2 Field relation between interfaces A and B.\u003c\/p\u003e \u003cp\u003e8.4 ANALYSIS OF WAVEGUIDE JUNCTIONS AND SHARP BENDS WITH GENERAL ANISOTROPIC MATERIAL BY USING ORTHOGONAL PROPAGATING WAVES.\u003c\/p\u003e \u003cp\u003e8.4.1 Introduction.\u003c\/p\u003e \u003cp\u003e8.4.2 Theory.\u003c\/p\u003e \u003cp\u003e8.4.3 Main diagonal submatrices.\u003c\/p\u003e \u003cp\u003e8.4.4 Off-diagonal submatrices – coupling to other ports.\u003c\/p\u003e \u003cp\u003e8.4.5 Steps of the analysis procedure.\u003c\/p\u003e \u003cp\u003e8.5 NUMERICAL RESULTS.\u003c\/p\u003e \u003cp\u003e8.6 ANALYSIS OF WAVEGUIDE STRUCTURES IN SPHERICAL COORDINATES.\u003c\/p\u003e \u003cp\u003e8.6.1 Introduction.\u003c\/p\u003e \u003cp\u003e8.6.2 Generalised transmission line equations in spherical coordinates.\u003c\/p\u003e \u003cp\u003e8.6.3 Analysis of special devices – conformal antennas.\u003c\/p\u003e \u003cp\u003e8.6.4 Analysis of special devices – conical horn antennas.\u003c\/p\u003e \u003cp\u003e8.6.5 Numerical results.\u003c\/p\u003e \u003cp\u003e8.7 ELLIPTICAL COORDINATES.\u003c\/p\u003e \u003cp\u003e8.7.1 GTL equations for \u003cb\u003e\u003ci\u003ez\u003c\/i\u003e\u003c\/b\u003e-direction.\u003c\/p\u003e \u003cp\u003e8.7.2 GTL equations for \u003ci\u003eξ\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e8.7.3 GTL equations for \u003ci\u003eη\u003c\/i\u003e-direction.\u003c\/p\u003e \u003cp\u003e8.7.4 Hollow waveguides with elliptic cross-section.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 SUMMARY AND PROSPECT FOR THE FUTURE.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA. DISCRETISATION SCHEMES AND DIFFERENCE OPERATORS.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 DETERMINATION OF THE EIGENVALUES AND EIGENVECTORS OF \u003ci\u003eP.\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eA.1.1 Calculation of the matrices \u003ci\u003eδ.\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eA.1.2 Derivation of the eigenvalues of the Neumann problem from those of the Dirichlet problem.\u003c\/p\u003e \u003cp\u003eA.1.3 The component of \u003ci\u003eεr\u003c\/i\u003e at an abrupt transition.\u003c\/p\u003e \u003cp\u003eA.1.4 Eigenvalues and eigenvectors for periodic boundary conditions.\u003c\/p\u003e \u003cp\u003eA.1.5 Discretisation for non-ideal places of the boundaries.\u003c\/p\u003e \u003cp\u003eA.2 ABSORBING BOUNDARY CONDITIONS (ABCs).\u003c\/p\u003e \u003cp\u003eA.2.1 Introduction\u003csup\u003e1\u003c\/sup\u003e.\u003c\/p\u003e \u003cp\u003eA.2.2 Factorisation of the Helmholtz equation.\u003c\/p\u003e \u003cp\u003eA.2.3 Pad´e approximation.\u003c\/p\u003e \u003cp\u003eA.2.4 Polynomial approximations.\u003c\/p\u003e \u003cp\u003eA.2.5 Construction of the difference operator for ABCs.\u003c\/p\u003e \u003cp\u003eA.2.6 Special boundary conditions (SBCs).\u003c\/p\u003e \u003cp\u003eA.2.7 Numerical results.\u003c\/p\u003e \u003cp\u003eA.2.8 ABCs for cylindrical coordinates.\u003c\/p\u003e \u003cp\u003eA.2.9 Periodic boundary conditions.\u003c\/p\u003e \u003cp\u003eA.3 HIGHER-ORDER DIFFERENCE OPERATORS [11].\u003c\/p\u003e \u003cp\u003eA.3.1 Introduction.\u003c\/p\u003e \u003cp\u003eA.3.2 Theory.\u003c\/p\u003e \u003cp\u003eA.3.3 Numerical results.\u003c\/p\u003e \u003cp\u003eA.4 NON-EQUIDISTANT DISCRETISATION.\u003c\/p\u003e \u003cp\u003eA.4.1 Introduction.\u003c\/p\u003e \u003cp\u003eA.4.2 Theory.\u003c\/p\u003e \u003cp\u003eA.4.3 Interpolation.\u003c\/p\u003e \u003cp\u003eA.4.4 Numerical results.\u003c\/p\u003e \u003cp\u003eA.5 REFLECTIONS IN DISCRETISATION GRIDS.\u003c\/p\u003e \u003cp\u003eA.5.1 Introduction.\u003c\/p\u003e \u003cp\u003eA.5.2 Dispersion relations.\u003c\/p\u003e \u003cp\u003eA.5.3 Reflections at discretisation transitions.\u003c\/p\u003e \u003cp\u003eA.6 FIELD EXTRAPOLATION FOR NEUMANN BOUNDARY CONDITIONS.\u003c\/p\u003e \u003cp\u003eA.7 ABOUT THE NATURE OF THE METHOD OF LINES.\u003c\/p\u003e \u003cp\u003eA.7.1 Introduction.\u003c\/p\u003e \u003cp\u003eA.7.2 Relation between shielded structures and periodic ones.\u003c\/p\u003e \u003cp\u003eA.7.3 Method of Lines and discrete Fourier transformation.\u003c\/p\u003e \u003cp\u003eA.7.4 Discussion.\u003c\/p\u003e \u003cp\u003eA.8 RELATION BETWEEN THE MODE MATCHING METHOD (MMM) AND THE METHOD OF LINES (MoL) FOR INHOMOGENEOUSMEDIA.\u003c\/p\u003e \u003cp\u003eA.9 RECIPROCITYAND ITS CONSEQUENCES.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB TRANSMISSION LINE EQUATIONS.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 TRANSMISSION LINE EQUATIONS IN FIELD VECTOR NOTATION.\u003c\/p\u003e \u003cp\u003eB.2 DERIVATION OF THE MULTICONDUCTOR TRANSMISSION LINE EQUATIONS.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eC SCATTERING PARAMETERS.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eD EQUIVALENT CIRCUITS FOR DISCONTINUITIES.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eE APPROXIMATE METALLIC LOSS CALCULATION IN CONFORMAL STRUCTURES.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex.\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cstrong\u003eReinhold Pregla\u003c\/strong\u003e is a consultant and professor at the FernUniversitat in Germany.   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.  \u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003eWith \u003ci\u003eAnalysis of Electromagnetic Fields and Waves,\u003c\/i\u003e Reinhold Pregla describes an important and powerful method for analyzing electromagnetic waves. This book:\u003c\/p\u003e \u003cul type=\"disc\"\u003e \u003cli\u003eDescribes the general analysis principles for electromagnetic fields.\u003c\/li\u003e \u003cli\u003eIncludes applications in microwave, millimetre wave and optical frequency regions.\u003c\/li\u003e \u003cli\u003eUnifies 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.\u003c\/li\u003e \u003cli\u003eDemonstrates 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.\u003c\/li\u003e \u003cli\u003eIncludes 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).\u003c\/li\u003e \u003cli\u003eEnables the reader to solve partial differential equations in other physical areas by using the described principles.\u003c\/li\u003e \u003cli\u003eFeatures an accompanying website with program codes in Matlab© for special problems.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eAnalysis of Electromagnetic Fields and Waves\u003c\/i\u003e 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\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988733870309,"sku":"NP9780470033609","price":215.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470033609.jpg?v=1761781377","url":"https:\/\/k12savings.com\/es\/products\/analysis-of-electromagnetic-fields-and-waves-isbn-9780470033609","provider":"K12savings","version":"1.0","type":"link"}