Introduction to Numerical Electrostatics Using MATLAB / Dworsky, Lawrence
- Author:
- Dworsky, Lawrence
- Published:
- Wiley-IEEE Press, 2014.
- Edition:
- 1st edition.
- Physical Description:
- 1 online resource (456 pages)
- Additional Creators:
- Safari, an O'Reilly Media Company
Access Online
- Language Note:
- English.
- Contents:
- Introduction to Numerical Electrostatics Using MATLAB®; Copyright; Contents; Preface; Introduction; Acknowledgments; 1 A Review of Basic Electrostatics; 1.1 Charge, Force, and the Electric Field; 1.2 Electric Flux Density and Gauss's Law; 1.3 Conductors; 1.4 Potential, Gradient, and Capacitance; 1.5 Energy in the Electric Field; 1.6 Poisson's and Laplace's Equations; 1.7 Dielectric Interfaces; 1.8 Electric Dipoles; 1.9 The Case for Approximate Numerical Analysis; Problems; 2 The Uses of Electrostatics; 2.1 Basic Circuit Theory; 2.2 Radio Frequency Transmission Lines, 2.3 Vacuum Tubes and Cathode Ray Tubes 2.4 Field Emission and the Scanning Electron Microscope; 2.5 Electrostatic Force Devices; 2.6 Gas Discharges and Lighting Devices; 3 Introduction to the Method of Moments Technique for Electrostatics; 3.1 Fundamental Equations; 3.2 A Working Equation Set; 3.3 The Single-Point Approximation for Off-Diagonal Terms; 3.4 Exact Solutions for the Diagonal Term and In-Plane Terms; 3.5 Approximating Li,j; Problems; 4 Examples using the Method of Moments; 4.1 A First Modeling Program; 4.2 Input Data File Preparation for the First Modeling Program, 4.3 Processing the Input Data 4.4 Generating the Li,j Array; 4.5 Solving the System and Examining Some Results; 4.6 Limits of Resolution; 4.7 Voltages and Fields; 4.8 Varying the Geometry; Problems; 5 Symmetries, Images and Dielectrics; 5.1 Symmetries; 5.2 Images; 5.3 Multiple Images and the Symmetric Stripline; 5.4 Dielectric Interfaces; 5.5 Two-Dimensional Cross Sections of UniformThree-Dimensional Structures; 5.6 Charge Profiles and Current Bunching; 5.7 Cylinder between Two Planes; Problems; 6 Triangles; 6.1 Introduction to Triangular Cells; 6.2 Right Triangles, 6.3 Calculating Li,i (Self ) Coefficients 6.4 Calculating Li,j for ij; 6.5 Basic Meshing and Data Formats for Triangular Cell MoM Programs; 6.6 Using MATLAB to Generate Triangular Meshings; 6.7 Calculating Voltages; 6.8 Calculating the Electric Field; 6.9 Three-Dimensional Structures; 6.10 Charge Profiles; Problems; 7 Summary and Overview; 7.1 Where We Were, Where We're Going; 8 The Finite Difference Method; 8.1 Introduction and a Simple Example; 8.2 Setting Up and Solving a Basic Problem; 8.3 The Gauss-Seidel (Relaxation) Solution Technique; 8.4 Charge, Gauss's Law, and Resolution, and 8.5 Voltages and Fields 8.6 Stored Energy and Capacitance; Problems; 9 Refining the Finite Difference Method; 9.1 Refined Grids; 9.2 Arbitrary Conductor Shapes; 9.3 Mixed Dielectric Regions and a New Derivation of the Finite Difference Equation; 9.4 Example: Structure with a Dielectric Interface; 9.5 Axisymmetric Cylindrical Coordinates; 9.6 Symmetry Boundary Condition; 9.7 Duality, and Upper and Lower Bounds to Solutions for Transmission Lines; 9.8 Extrapolation; 9.9 Three-Dimensional Grids; Problems; 10 Multielectrode Systems; 10.1 Multielectrode Structures; 10.2 Utilizing Superposition
- Summary:
- Readers are guided step by step through numerous specific problems and challenges, covering all aspects of electrostatics with an emphasis on numerical procedures. The author focuses on practical examples, derives mathematical equations, and addresses common issues with algorithms. Introduction to Numerical Electrostatics contains problem sets, an accompanying web site with simulations, and a complete list of computer codes. Computer source code listings on accompanying web site Problem sets included with book Readers using MATLAB or other simulation packages will gain insight as to the inner workings of these packages, and how to account for their limitations Example computer code is provided in MATLAB Solutions Manual The first book of its kind uniquely devoted to the field of computational electrostatics.
- Subject(s):
- ISBN:
- 9781118755716 (e-book)
1118755715
9781118758571 (ebook)
1118758579
9781118449745
9781118756089
1118449746
1118756088
1118756002
9781118756003 - Digital File Characteristics:
- text file
- Bibliography Note:
- Includes bibliographical references and index.
- Copyright Note:
- Copyright © Wiley-IEEE Press
- Issuing Body:
- Made available through: Safari, an O'Reilly Media Company.
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