| Autore |
Poljak D (Dragan)
|
| Edizione | [1st ed.] |
| Pubbl/distr/stampa |
Newark : , : John Wiley & Sons, Incorporated, , 2023
|
| Descrizione fisica |
1 online resource (576 pages)
|
| Disciplina |
537.01515
|
| Altri autori (Persone) |
ŠušnjaraAnna
|
| Collana |
IEEE Press Series on Electromagnetic Wave Theory Series
|
| Soggetto topico |
Differential equations
Stochastic models
|
| ISBN |
9781119989271
1119989272
9781119989257
1119989256
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
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 -- 5.4 Wires of Arbitrary Shape Radiating Over a Layered Medium -- 5.4.1 Curved Single Wire in Free Space -- 5.4.2 Curved Single Wire in the Presence of a Lossy Half-space -- 5.4.3 Multiple Curved Wires -- 5.4.3.1 Numerical Solution Procedures -- 5.4.3.2 Computational Examples -- 5.4.4 Electromagnetic Field Coupling to Arbitrarily Shaped Aboveground Wires -- 5.4.4.1 Formulation via a Set of Coupled Integro-differential Equations -- 5.4.4.2 Numerical Solution of Coupled Pocklington Equations -- 5.4.4.3 Computational Example -- 5.4.5 Buried Wires of Arbitrary Shape -- 5.4.5.1 Formulation -- 5.4.5.2 Numerical Procedure -- 5.4.5.3 Computational Examples -- 5.5 Complex Power of Arbitrarily Shaped Thin Wire Radiating Above a Lossy Half-Space -- 5.5.1 Theoretical Background -- 5.5.2 Numerical Results -- References -- Chapter 6 Wire Configurations - Time Domain Analysis.
6.1 Single Wire Above a Lossy Ground -- 6.1.1 Case of Perfectly Conducting (PEC) Ground and Dielectric Half-Space -- 6.1.2 Modified Reflection Coefficient for the Case of an Imperfect Ground -- 6.2 Numerical Solution of Hallen Equation via the Galerkin-Bubnov Indirect Boundary Element Method (GB-IBEM) -- 6.2.1 Computational Examples -- 6.3 Application to Ground-Penetrating Radar -- 6.3.1 Transient Field due to Dipole Radiation Reflected from the Air-Earth Interface -- 6.3.1.1 Numerical Evaluation Procedure -- 6.3.1.2 Numerical Results -- 6.3.2 Transient Field Transmitted into a Lossy Ground Due to Dipole Radiation -- 6.3.2.1 Numerical Evaluation of the Transmitted Field -- 6.3.2.2 Numerical Results -- 6.4 Simplified Calculation of Specific Absorption in Human Tissue -- 6.4.1 Calculation of Specific Absorption -- 6.4.2 Numerical Results -- 6.5 Time Domain Energy Measures -- 6.6 Time Domain Analysis of Multiple Straight Wires above a Half-Space by Means of Various Time Domain Measures -- 6.6.1 Theoretical Background -- 6.6.1.1 Time Domain Energy Measures and Power Measure -- 6.6.1.2 Root Mean Square Value of Current Distribution -- 6.6.2 Numerical Results -- 6.6.2.1 Configuration 1 -- 6.6.2.2 Configuration 2 -- 6.6.2.3 Configuration 3 -- 6.6.2.4 Configuration 4 -- 6.6.2.5 Configuration 5 -- 6.6.2.6 Configuration 6 -- References -- Chapter 7 Bioelectromagnetics - Exposure of Humans in GHz Frequency Range -- 7.1 Assessment of Sab in a Planar Single Layer Tissue -- 7.1.1 Analysis of Dipole Antenna in Front of Planar Interface -- 7.1.2 Calculation of Absorbed Power Density -- 7.1.3 Computational Examples -- 7.2 Assessment of Transmitted Power Density in a Single Layer Tissue -- 7.2.1 Formulation -- 7.2.2 Results for Current Distribution -- 7.2.2.1 Results for Transmitted Field, VPD, and TPD -- 7.2.2.2 Different Distance from the Interface.
7.2.2.3 Different Antenna Length -- 7.2.2.4 Different Frequencies -- 7.3 Assessment of Sab in a Multilayer Tissue Model -- 7.3.1 Theoretical Background -- 7.3.2 Results -- 7.4 Assessment of Transmitted Power Density in the Planar Multilayer Tissue Model -- 7.4.1 Formulation -- 7.4.2 Results -- 7.4.2.1 Two-Layer Model -- 7.4.2.2 Three-Layer Model -- 7.4.2.3 Skin Depth and Saturation Depth -- References -- Chapter 8 Multiphysics Phenomena -- 8.1 Electromagnetic-Thermal Modeling of Human Exposure to HF Radiation -- 8.1.1 Electromagnetic Dosimetry -- 8.1.2 Thermal Dosimetry -- 8.1.3 Computational Examples -- 8.2 Magnetohydrodynamics (MHD) Models for Plasma Confinement -- 8.2.1 The Grad-Shafranov Equation -- 8.2.1.1 Analytical Solution -- 8.2.1.2 Analytical Results -- 8.2.1.3 Solution by the Finite Difference Method (FDM) -- 8.2.1.4 Solution by the Finite Element Method (FEM) -- 8.2.1.5 Computational Examples -- 8.2.2 Transport Phenomena Modeling -- 8.2.2.1 Transport Equations -- 8.2.2.2 Current Diffusion Equation and Equilibrium in Tokamaks -- 8.2.2.3 FEM Solution of CDE -- 8.2.2.4 Analytical Solution Procedure -- 8.2.2.5 Numerical Results -- 8.3 Modeling of the Schrodinger Equation -- 8.3.1 Derivation of the Schrodinger Equation -- 8.3.2 Analytical Solution of the Schrodinger Equation -- 8.3.3 FDM Solution of the Schrodinger Equation -- 8.3.4 FEM Solution of the Schrodinger Equation -- 8.3.5 Neural Network Approach to the Solution of the Schrodinger Equation -- References -- Part III Stochastic Modeling -- Chapter 9 Methods for Stochastic Analysis -- 9.1 Uncertainty Quantification Framework -- 9.1.1 Uncertainty Quantification (UQ) of Model Input Parameters -- 9.1.2 Uncertainty Propagation (UP) -- 9.1.3 Monte Carlo Method -- 9.2 Stochastic Collocation Method -- 9.2.1 Computation of Stochastic Moments -- 9.2.2 Interpolation Approaches.
9.2.3 Collocation Points Selection -- 9.2.4 Multidimensional Stochastic Problems -- 9.2.4.1 Tensor Product -- 9.2.4.2 Sparse Grids -- 9.2.4.3 Stroud's Cubature Rules -- 9.3 Sensitivity Analysis -- 9.3.1 "One-at-a-Time" (OAT) Approach -- 9.3.2 ANalysis Of VAriance (ANOVA)-Based Method -- References -- Chapter 10 Stochastic-Deterministic Electromagnetic Dosimetry -- 10.1 Internal Stochastic Dosimetry for a Simple Body Model Exposed to Low-Frequency Field -- 10.2 Internal Stochastic Dosimetry for a Simple Body Model Exposed to Electromagnetic Pulse -- 10.3 Internal Stochastic Dosimetry for a Realistic Three-Compartment Human Head Exposed to High-Frequency Plane Wave -- 10.4 Incident Field Stochastic Dosimetry for Base Station Antenna Radiation -- References -- Chapter 11 Stochastic-Deterministic Thermal Dosimetry -- 11.1 Stochastic Sensitivity Analysis of Bioheat Transfer Equation -- 11.2 Stochastic Thermal Dosimetry for Homogeneous Human Brain -- 11.3 Stochastic Thermal Dosimetry for Three-Compartment Human Head -- 11.4 Stochastic Thermal Dosimetry below 6 GHz for 5G Mobile Communication Systems -- References -- Chapter 12 Stochastic-Deterministic Modeling in Biomedical Applications of Electromagnetic Fields -- 12.1 Transcranial Magnetic Stimulation -- 12.2 Transcranial Electric Stimulation -- 12.2.1 Cylinder Representation of Human Head -- 12.2.2 A Three-Compartment Human Head Model -- 12.2.3 A Nine-Compartment Human Head Model -- 12.3 Neuron's Action Potential Dynamics -- 12.4 Radiation Efficiency of Implantable Antennas -- References -- Chapter 13 Stochastic-Deterministic Modeling of Wire Configurations in Frequency and Time Domain -- 13.1 Ground-Penetrating Radar -- 13.1.1 The Transient Current Induced Along the GPR Antenna -- 13.1.2 The Transient Field Transmitted into a Lossy Soil -- 13.2 Grounding Systems.
13.2.1 Test Case #1: Soil And Lighting Pulse Parameters are Random Variables.
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| Record Nr. | UNINA-9911019550803321 |
Info
Deterministic and Stochastic Modeling in Computational Electromagnetics : Integral and Differential Equation Approaches
