Low-Frequency Electromagnetic Modeling for Electrical and Biological Systems Using MATLAB

Provides 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–on MATLAB® modules. 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 2 covers electrostatics of conductors and dielectrics, and direct current flow. Linear magnetostatics is analyzed in Part 3. Part 4 examines theory and applications of eddy currents. Finally, Part 5 evaluates nonlinear electrostatics. Application examples included in this book cover all major subjects of low–frequency electromagnetic theory. In addition, this book includes complete or summarized analytical solutions to a large number of quasi–static electromagnetic problems. Each Chapter concludes with a summary of the corresponding MATLAB® modules. Combines fundamental electromagnetic theory and application–oriented computation algorithms in the form of stand alone MATLAB® modules Makes use of the three–dimensional Method of Moments (MoM) for static and quasistatic electromagnetic problems Contains a detailed full–body computational human phantom from the Visible Human Project® Female, embedded implant models, and a collection of homogeneous human shells  Low–Frequency Electromagnetic Modeling for Electrical and Biological Systems Using  MATLAB® is a resource for electrical and biomedical engineering students and practicing researchers, engineers, and medical doctors working on low–frequency modeling and bioelectromagnetic applications. INDICE: PREFACE xi .ACKNOWLEDGMENTS xv .ABOUT THE COMPANION WEBSITE xvii .PART I LOW–FREQUENCY ELECTROMAGNETICS.COMPUTATIONAL MESHES.COMPUTATIONAL PHANTOMS 1 .1 Classification of Low–Frequency Electromagnetic Problems. Poisson and Laplace Equations in Integral Form 3 .Introduction, 3 .1.1 Classification of Low–Frequency Electromagnetic Problems, 4 .1.2 Poisson and Laplace Equations, Boundary Conditions, and Integral Equations, 18 .References, 30 .2 Triangular Surface Mesh Generation and Mesh Operations 35 .Introduction, 35 .2.1 Triangular Mesh and its Quality, 36 .2.2 Delaunay Triangulation. 3D Volume and Surface Meshes, 46 .2.3 Mesh Operations and Transformations, 56 .2.4 Adaptive Mesh Refinement and Mesh Decimation, 75 .2.5 Summary of MATLAB® Scripts, 81 .References, 85 .3 Triangular Surface Human Body Meshes for Computational Purposes 89 .Introduction, 89 .3.1 Review of Available Computational Human Body Phantoms and Datasets, 92 .3.2 Triangular Human Body Shell Meshes Included with the Text, 96 .3.3 VHP–F Whole–Body Model Included with the Text, 108 .References, 126 .PART II ELECTROSTATICS OF CONDUCTORS AND DIELECTRICS. DIRECT CURRENT FLOW 131 .4 Electrostatics of Conductors. Fundamentals of the Method of Moments. Adaptive Mesh Refinement 133 .Introduction, 133 .4.1 Electrostatics of Conductors. MoM (Surface Charge Formulation), 134 .4.2 Gaussian Quadratures. Potential Integrals. Adaptive Mesh Refinement, 147 .4.3 Summary of MATLAB® Modules, 162 .References, 167 .5 Theory and Computation of Capacitance. Conducting Objects in External Electric Field 169 .Introduction, 169 .5.1 Capacitance Definitions: Self–Capacitance, 170 .5.2 Capacitance of Two Conducting Objects, 180 .5.3 Systems of Three Conducting Objects, 188 .5.4 Isolated Conducting Object in an External Electric Field, 196 .5.5 Summary of MATLAB® Modules, 204 .References, 212 .6 Electrostatics of Dielectrics and Conductors 215 .Introduction, 215 .6.1 Dielectric Object in an External Electric Field, 216 .6.2 Combined Metal Dielectric Structures, 229 .6.3 Application Example: Modeling Charges in Capacitive Touchscreens, 239 .6.4 Summary of MATLAB® Modules, 245 .References, 253 .7 Transmission Lines: Two–Dimensional Version of the Method of Moments 257 .Introduction, 257 .7.1 Transmission Lines: Value of the Electrostatic Model Analytical Solutions, 258 .7.2 The 2D Version of the MoM for Transmission Lines, 273 .7.3 Summary of MATLAB® Modules, 284 .References, 287 .8 Steady–State Current Flow 289 .Introduction, 289 .8.1 Boundary Conditions. Integral Equation. Voltage and Current Electrodes, 290 .8.2 Analytical Solutions for DC Flow in Volumetric Conducting Objects, 300 .8.3 MoM Algorithm for DC Flow. Construction of Electrode Mesh, 311 .8.4 Application Example: EIT, 320 .8.5 Application Example: tDCS, 327 .8.6 Summary of MATLAB® Modules, 336 .References, 341 .PART III LINEAR MAGNETOSTATICS 347 .9 Linear Magnetostatics: Surface Charge Method 349 .Introduction, 349 .9.1 Integral Equation of Magnetostatics: Surface Charge Method, 350 .9.2 Analytical versus Numerical Solutions: Modeling Magnetic Shielding, 358 .9.3 Summary of MATLAB® Modules, 367 .References, 369 .10 Inductance. Coupled Inductors. Modeling of a Magnetic Yoke 371 .Introduction, 371 .10.1 Inductance, 372 .10.2 Mutual Inductance and Systems of Coupled Inductors, 385 .10.3 Modeling of a Magnetic Yoke, 404 .10.4 Summary of MATLAB® Modules, 415 .References, 421 .PART IV THEORY AND APPLICATIONS OF EDDY CURRENTS 423 .11 Fundamentals of Eddy Currents 425 .Introduction, 425 .11.1 Three Types of Eddy Current Approximations, 426 .11.2 Exact Solution for Eddy Currents without Surface Charges Created by Horizontal Loops of Current, 440 .11.3 Exact Solution for a Sphere in an External AC Magnetic Field, 453 .11.4 A Simple Approximate Solution for Eddy Currents in a Weakly Conducting Medium, 460 .11.5 Summary of MATLAB® Modules, 464 .References, 470 .12 Computation of Eddy Currents via the Surface Charge Method 473 .Introduction, 473 .12.1 Numerical Solution in a Weakly Conducting Medium with External Magnetic Field, 474 .12.2 Comparison with FEM Solutions from Maxwell 3D of ANSYS: Solution Convergence, 481 .12.3 Eddy Currents Excited by a Coil, 488 .12.4 Summary of MATLAB® Modules, 497 .References, 504 .PART V NONLINEAR ELECTROSTATICS 507 .13 Electrostatic Model of a pn–Junction: Governing Equations and Boundary Conditions 509 .Introduction, 509 .13.1 Built–in Voltage of a pn–Junction, 510 .13.2 Complete Electrostatic Model of a pn–Junction, 533 .References, 545 .14 Numerical Simulation of pn–Junction and Related Problems: Gummel s Iterative Solution 547 .Introduction, 547 .14.1 Iterative Solution for Zero Bias Voltage, 548 .14.2 Numerical Solution for the Electric Field Region, 560 .14.3 Analytical Solution for the Diffusion Region: Shockley Equation, 579 .14.4 Summary of MATLAB® Modules, 587 .References, 588 .INDEX 591

• ISBN: 978-1-119-05256-2
• Editorial: Wiley–Blackwell
• Encuadernacion: Cartoné
• Páginas: 648
• Fecha Publicación: 17/07/2015
• Nº Volúmenes: 1
• Idioma: Inglés