Electricity, electromagnetism and magnetism Books

Book SynopsisProvides a detailed and systematic description of the Method of Moments (Boundary Element Method) for electromagnetic modeling at low frequencies and includes hands-on, application-based MATLAB modules with user-friendly and intuitive GUI and a highly visualized interactive output. Includes a full-body computational human phantom with over 120 triangular surface meshes extracted from the Visible Human Project Female dataset of the National library of Medicine and fully compatible with MATLAB and major commercial FEM/BEM electromagnetic software simulators. This book covers the basic concepts of computational low-frequency electromagnetics in an application-based format and hones the knowledge of these concepts with hands-onMATLABmodules. The book is divided into five parts. Part 1 discusses low-frequency electromagnetics, basic theory of triangular surface mesh generation, and computational human phantoms. Part Table of ContentsPREFACE xiACKNOWLEDGMENTS xvABOUT THE COMPANION WEBSITE xviiPART I LOW-FREQUENCY ELECTROMAGNETICS.COMPUTATIONAL MESHES.COMPUTATIONAL PHANTOMS 11 Classification of Low-Frequency Electromagnetic Problems. Poisson and Laplace Equations in Integral Form 3Introduction 31.1 Classification of Low-Frequency Electromagnetic Problems 41.2 Poisson and Laplace Equations Boundary Conditions and Integral Equations 18References 302 Triangular Surface Mesh Generation and Mesh Operations 35Introduction 352.1 Triangular Mesh and its Quality 362.2 Delaunay Triangulation. 3D Volume and Surface Meshes 462.3 Mesh Operations and Transformations 562.4 Adaptive Mesh Refinement and Mesh Decimation 752.5 Summary of MATLAB® Scripts 81References 853 Triangular Surface Human Body Meshes for Computational Purposes 89Introduction 893.1 Review of Available Computational Human Body Phantoms and Datasets 923.2 Triangular Human Body Shell Meshes Included with the Text 963.3 VHP-F Whole-Body Model Included with the Text 108References 126PART II ELECTROSTATICS OF CONDUCTORS AND DIELECTRICS. DIRECT CURRENT FLOW 1314 Electrostatics of Conductors. Fundamentals of the Method of Moments. Adaptive Mesh Refinement 133Introduction 1334.1 Electrostatics of Conductors. MoM (Surface Charge Formulation) 1344.2 Gaussian Quadratures. Potential Integrals. Adaptive Mesh Refinement 1474.3 Summary of MATLAB® Modules 162References 1675 Theory and Computation of Capacitance. Conducting Objects in External Electric Field 169Introduction 1695.1 Capacitance Definitions: Self-Capacitance 1705.2 Capacitance of Two Conducting Objects 1805.3 Systems of Three Conducting Objects 1885.4 Isolated Conducting Object in an External Electric Field 1965.5 Summary of MATLAB® Modules 204References 2126 Electrostatics of Dielectrics and Conductors 215Introduction 2156.1 Dielectric Object in an External Electric Field 2166.2 Combined Metal–Dielectric Structures 2296.3 Application Example: Modeling Charges in Capacitive Touchscreens 2396.4 Summary of MATLAB® Modules 245References 2537 Transmission Lines: Two-Dimensional Version of the Method of Moments 257Introduction 2577.1 Transmission Lines: Value of the Electrostatic Model—Analytical Solutions 2587.2 The 2D Version of the MoM for Transmission Lines 2737.3 Summary of MATLAB® Modules 284References 2878 Steady-State Current Flow 289Introduction 2898.1 Boundary Conditions. Integral Equation. Voltage and Current Electrodes 2908.2 Analytical Solutions for DC Flow in Volumetric Conducting Objects 3008.3 MoM Algorithm for DC Flow. Construction of Electrode Mesh 3118.4 Application Example: EIT 3208.5 Application Example: tDCS 3278.6 Summary of MATLAB® Modules 336References 341PART III LINEAR MAGNETOSTATICS 3479 Linear Magnetostatics: Surface Charge Method 349Introduction 3499.1 Integral Equation of Magnetostatics: Surface Charge Method 3509.2 Analytical versus Numerical Solutions: Modeling Magnetic Shielding 3589.3 Summary of MATLAB® Modules 367References 36910 Inductance. Coupled Inductors. Modeling of a Magnetic Yoke 371Introduction 37110.1 Inductance 37210.2 Mutual Inductance and Systems of Coupled Inductors 38510.3 Modeling of a Magnetic Yoke 40410.4 Summary of MATLAB® Modules 415References 421PART IV THEORY AND APPLICATIONS OF EDDY CURRENTS 42311 Fundamentals of Eddy Currents 425Introduction 42511.1 Three Types of Eddy Current Approximations 42611.2 Exact Solution for Eddy Currents without Surface Charges Created by Horizontal Loops of Current 44011.3 Exact Solution for a Sphere in an External AC Magnetic Field 45311.4 A Simple Approximate Solution for Eddy Currents in a Weakly Conducting Medium 46011.5 Summary of MATLAB® Modules 464References 47012 Computation of Eddy Currents via the Surface Charge Method 473Introduction 47312.1 Numerical Solution in a Weakly Conducting Medium with External Magnetic Field 47412.2 Comparison with FEM Solutions from Maxwell 3D of ANSYS: Solution Convergence 48112.3 Eddy Currents Excited by a Coil 48812.4 Summary of MATLAB® Modules 497References 504PART V NONLINEAR ELECTROSTATICS 50713 Electrostatic Model of a pn-Junction: Governing Equations and Boundary Conditions 509Introduction 50913.1 Built-in Voltage of a pn-Junction 51013.2 Complete Electrostatic Model of a pn-Junction 533References 54514 Numerical Simulation of pn-Junction and Related Problems: Gummel’s Iterative Solution 547Introduction 54714.1 Iterative Solution for Zero Bias Voltage 54814.2 Numerical Solution for the Electric Field Region 56014.3 Analytical Solution for the Diffusion Region: Shockley Equation 57914.4 Summary of MATLAB® Modules 587References 588INDEX 591

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Book SynopsisSpurred on by extensive research in recent years, organic semiconductors are now used in an array of areas, such as organic light emitting diodes (OLEDs), photovoltaics, and other optoelectronics. In all of these novel applications, the photoexcitations in organic semiconductors play a vital role. Exploring the early stages of photoexcitations that follow photon absorption, Ultrafast Dynamics and Laser Action of Organic Semiconductors presents the latest research investigations on photoexcitation ultrafast dynamics and laser action in pi-conjugated polymer films, solutions, and microcavities.In the first few chapters, the book examines the interplay of charge (polarons) and neutral (excitons) photoexcitations in pi-conjugated polymers, oligomers, and molecular crystals in the time domain of 100 fs2 ns. Summarizing the state of the art in lasing, the final chapters introduce the phenomenon of laser action in organics and cover the latest optoelectronic Table of ContentsPreface. Ultrafast Photoexcitation Dynamics in pi-Conjugated Polymers. Universality in the Photophysics of pi-Conjugated Polymers and Single-Walled Carbon Nanotubes. Mechanism of Carrier Photogeneration and Carrier Transport in pi-Conjugated Polymers and Molecular Crystals. Conformational Disorder and Optical Properties of Conjugated Polymers. Laser Action in pi-Conjugated Polymers. Ultrafast Photonics in Polymer Nanostructures. Index.

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Book SynopsisThe Compendium of Theoretical Physics contains the canonical curriculum of theoretical physics. From classical mechanics over electrodynamics, quantum mechanics and statistical physics/thermodynamics, all topics are treated axiomatic-deductively and confimed by exercises, solutions and short summaries.Table of ContentsPreface.- List of Applications.- 1.Mechanics: Newtonian Mechanics.- Lagrangian Mechanics.- Hamiltonian Mechanics.- Motion of Rigid Bodies.- Central Forces.- Relativistic Mechanics.- 2. Electrodynamics: Formalism of Electrodynamics.- Solutions of Maxwell’s Equations in the Form of Potentials.- Lorentz Covariant Formulation of Electrodynamics.- Radiation Theory.- Time-Independent Electrodynamics.- Electrodynamics in Matter.- Electromagnetic Waves.- Lagrange Formalism in Electrodynamics.- 3. Quantum Mechanics: Mathematical Foundations of Quantum Mechanics.- Formulation of Quantum Theory.- One-Dimensional Systems.- Quantum Mechanical Angular Momenta.- Schrödinger Equation in Three Dimensions.- Electromagnetic Interactions.- Perturbation Theory and Real Hydrogen Atom.- Atomic Transitions.- N-Particle Systems.- Scattering Theory.- 4. Statistical Physics and Thermodynamics: Foundations of Statistical Physics.- Ensemble Theory I: Microcanonical Ensemble and Entropy.- Ensemble Theory II: Canonical and Grand Canonical Ensemble.- Entropy and Information Theory.- Thermodynamics.- Classical Maxwell-Boltzmann Statistics.- Quantum Statistics.- Appendix A: Mathematical Appendix.- Appendix B: Literature List.- Index

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Book SynopsisA treatment of analytical modelling in applied electromagnetics, focusing on the nature of models in radio engineering. It examines topics such as metamaterials, photonic bandgaps and artificial impedance surfaces, and applies these concepts to a wide range of applications. The author provides working examples that are mainly directed to antenna applications, but the modelling methods and results can be used for other practical devices as well.Table of ContentsThin layers and sheets; interfaces with highly conducting materials; periodical structures, arrays and meshes; composite materials; applications in metamaterials and artificial impedance surfaces.

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Book SynopsisThis book describes the ideal magnetohydrodynamic theory for magnetically conned fusion plasmas. Advanced topics are presented in attempting to fill the gap between the up-to-date research developments and plasma physics textbooks. Nevertheless, they are self contained and trackable with the mathematical treatments detailed and underlying physics explained. Both analytical theories and numerical schemes are given. Besides the current research developments in this field, the future prospects are also discussed.Nowadays, it is believed that, if the ideal MHD theory predicts major instabilities, none of the magnetic confinements of fusion plasmas can survive. The author has also written the book Advanced Tokamak Stability Theory. In view of its importance, the MHD theory is further systematically elaborated in this book. The conventional ideal MHD framework is reviewed together with the newly developed multi-parallel-fluid MHD theory. The MHD equilibrium theory and code are described with the non-letter-'X' separatrix feature pointed out. The continuum modes, quasi-modes, phase mixing, and Alfven resonance heating are analysed. The analytical theories for MHD stability in tokamak configurations are systematically presented, such as the interchange, peeling, ballooning, toroidal Alfven modes, and kink type of modes. The global stability computations are also addressed, including resistive wall modes, error-field amplifications, and Alfven modes, etc.Table of Contents Preface Acknowledgements Author biography 1. Fusion energy: concepts and prospects 2. Ideal magnetohydrodynamic (MHD) equations and multi-parallel-fluid MHD theory 3. Magnetohydrodynamic (MHD) equilibrium 4. Ideal magnetohydrodynamic (MHD) energy principle 5. Magnetohydrodynamic (MHD) mode spectrum in tokamaks 6. Magnetohydrodynamic (MHD) stability theory in tokamaks 7. Global magnetohydrodynamic (MHD) stability computation: internal and external modes 8. Concluding remarks Appendix A: Derivation of some basic MHD formula Appendix B: Acronym list

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