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Book Cover
E-book
Author Poljak, Dragan

Title Deterministic and Stochastic Modeling in Computational Electromagnetics Integral and Differential Equation Approaches
Published Newark : John Wiley & Sons, Incorporated, 2023

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Description 1 online resource (576 p.)
Series IEEE Press Series on Electromagnetic Wave Theory Series
IEEE Press Series on Electromagnetic Wave Theory Series
Contents Cover -- Title Page -- Copyright Page -- Dedication Page -- Contents -- About the Authors -- Preface -- Part I Some Fundamental Principles in Field Theory -- Chapter 1 Least Action Principle in Electromagnetics -- 1.1 Hamilton Principle -- 1.2 Newton's Equation of Motion from Lagrangian -- 1.3 Noether's Theorem and Conservation Laws -- 1.4 Equation of Continuity from Lagrangian -- 1.5 Lorentz Force from Gauge Invariance -- References -- Chapter 2 Fundamental Equations of Engineering Electromagnetics -- 2.1 Derivation of Two-Canonical. Maxwell's Equation
2.2 Derivation of Two-Dynamical. Maxwell's Equation -- 2.3 Integral Form of Maxwell's Equations, Continuity Equations, and Lorentz Force -- 2.4 Phasor Form of Maxwell's Equations -- 2.5 Continuity (Interface) Conditions -- 2.6 Poynting Theorem -- 2.7 Electromagnetic Wave Equations -- 2.8 Plane Wave Propagation -- 2.9 Hertz Dipole as a Simple Radiation Source -- 2.9.1 Determination of the Q-Factor -- 2.10 Wire Antennas of Finite Length -- 2.10.1 Dipole Antennas -- 2.10.2 Pocklington Integro-Differential Equation for Straight Thin Wire -- References
Chapter 3 Variational Methods in Electromagnetics -- 3.1 Analytical Methods -- 3.1.1 Capacity of Insulated Charged Sphere -- 3.1.2 Spherical Grounding Resistance -- 3.2 Variational Basis for Numerical Methods -- 3.2.1 Poisson's Equation -- 3.2.2 Scalar Potential Integral Equation (SPIE) -- 3.2.3 Correlation Between Variational Principle and Weighted Residual (Galerkin) Approach -- 3.2.4 Ritz Method -- References -- Chapter 4 Outline of Numerical Methods -- 4.1 Variational Basis for Numerical Methods -- 4.2 The Finite Element Method -- 4.2.1 Basic Concepts of FEM -- One-Dimensional FEM
4.2.2 Two-Dimensional FEM -- 4.2.3 Three-Dimensional FEM -- 4.3 The Boundary Element Method -- 4.3.1 Constant Boundary Elements -- 4.3.2 Linear and Quadratic Elements -- 4.3.3 Quadratic Elements -- 4.3.4 Numerical Solution of Integral Equations Over Unknown Sources -- References -- Part II Deterministic Modeling -- Chapter 5 Wire Configurations -- Frequency Domain Analysis -- 5.1 Single Wire in the Presence of a Lossy Half-Space -- 5.1.1 Horizontal Dipole Above a Homogeneous Lossy Half-Space -- 5.1.1.1 Integro-differential Equation Formulation
5.1.1.2 Numerical Solution of the Pocklington Equation -- 5.1.1.3 Computational Example -- 5.1.2 Horizontal Dipole Buried in a Homogeneous Lossy Half-Space -- 5.1.2.1 Pocklington Integro-differential Equation Formulation -- 5.1.2.2 Numerical Solution of the Pocklington Equation -- 5.1.2.3 Computational Example -- 5.2 Horizontal Dipole Above a Multi-layered Lossy Half-Space -- 5.2.1 Integral Equation Formulation -- 5.2.2 Radiated Field -- 5.2.3 Numerical Results -- 5.3 Wire Array Above a Multilayer -- 5.3.1 Formulation -- 5.3.2 Numerical Procedures -- 5.3.3 Computational Examples
Notes Description based upon print version of record
5.4 Wires of Arbitrary Shape Radiating Over a Layered Medium
Form Electronic book
Author Susnjara, Anna
ISBN 9781119989257
1119989256
1119989272
9781119989271