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 UsingMATLAB® is a resource for electrical and biomedical engineering students and practicing researchers, engineers, and medical doctors working on low-frequency modeling and bioelectromagnetic applications.

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 2 Triangular Surface Mesh Generation and Mesh Operations 35 3 Triangular Surface Human Body Meshes for Computational Purposes 89 Part II Electrostatics of Conductors And Dielectrics. Direct Current Flow 131 5 Theory and Computation of Capacitance. Conducting Objects in External Electric Field 169 6 Electrostatics of Dielectrics and Conductors 215 7 Transmission Lines: Two-Dimensional Version of the Method of Moments 257 8 Steady-State Current Flow 289 Part III Linear Magnetostatics 347 9 Linear Magnetostatics: Surface Charge Method 349 10 Inductance. Coupled Inductors. Modeling of a Magnetic Yoke 371 Part IV Theory And Applications of Eddy Currents 423 11 Fundamentals of Eddy Currents 425 12 Computation of Eddy Currents via the Surface Charge Method 473 Part V Nonlinear Electrostatics 507 13 Electrostatic Model of a pn-Junction: Governing Equations and Boundary Conditions 509 14 Numerical Simulation of pn-Junction and Related Problems: Gummel’s Iterative Solution 547 Index 591