Introduction to Numerical Electrostatics Using MATLAB

1. Auflage 2014
ISBN: 978-1-118-44974-5
Verlag: Wiley

Buch, Englisch, Band 1, 464 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 1045 g

Reihe: Wiley - IEEE

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

Autoren/Hrsg.

Dworsky, Lawrence N

Fachgebiete

• Technische Wissenschaften Technik Allgemein Modellierung & Simulation
• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
• Naturwissenschaften Physik Elektromagnetismus Elektrizität, Elektrodynamik

Inhaltsverzeichnis

Preface xi

Introduction xiii

Acknowledgments xv

1 A Review of Basic Electrostatics 1

1.1 Charge, Force, and the Electric Field 1

1.2 Electric Flux Density and Gauss’s Law 5

1.3 Conductors 7

1.4 Potential, Gradient, and Capacitance 10

1.5 Energy in the Electric Field 16

1.6 Poisson’s and Laplace’s Equations 18

1.7 Dielectric Interfaces 20

1.8 Electric Dipoles 24

1.9 The Case for Approximate Numerical Analysis 27

Problems 29

2 The Uses of Electrostatics 33

2.1 Basic Circuit Theory 33

2.2 Radio Frequency Transmission Lines 41

2.3 Vacuum Tubes and Cathode Ray Tubes 44

2.4 Field Emission and the Scanning Electron Microscope 47

2.5 Electrostatic Force Devices 48

2.6 Gas Discharges and Lighting Devices 49

3 Introduction to the Method of Moments Technique for Electrostatics 51

3.1 Fundamental Equations 51

3.2 A Working Equation Set 55

3.3 The Single-Point Approximation for Off-Diagonal Terms 56

3.4 Exact Solutions for the Diagonal Term and In-Plane Terms 57

3.5 Approximating Li,j 61

Problems 64

4 Examples using the Method of Moments 67

4.1 A First Modeling Program 67

4.2 Input Data File Preparation for the First Modeling Program 68

4.3 Processing the Input Data 71

4.4 Generating the Li,j Array 73

4.5 Solving the System and Examining Some Results 73

4.6 Limits of Resolution 76

4.7 Voltages and Fields 78

4.8 Varying the Geometry 82

Problems 87

5 Symmetries, Images and Dielectrics 89

5.1 Symmetries 89

5.2 Images 90

5.3 Multiple Images and the Symmetric Stripline 95

5.4 Dielectric Interfaces 102

5.5 Two-Dimensional Cross Sections of Uniform Three-Dimensional Structures 108

5.6 Charge Profiles and Current Bunching 113

5.7 Cylinder between Two

Über Autor(innen)

LAWRENCE N. DWORSKY earned his PhD and BEE in Electrical Engineering at New York University and his Masters of Electrical Engineering at Princeton University. He was an Assistant Professor of Mathematics at Union Community College and an Assistant Professor of Electrical Engineering at Columbia University.
From 1974 until 2002, Dr Dworsky served on the technical staff of Motorola, Inc. He has 39 issued U.S. Patents and has authored numerous technical articles. This is his fourth book.