{"product_id":"introduction-to-numerical-electrostatics-using-matlab-isbn-9781118449745","title":"Introduction to Numerical Electrostatics Using MATLAB","description":"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. \u003cb\u003eIntroduction to Numerical Electrostatics\u003c\/b\u003e contains problem sets, an accompanying web site with simulations, and a complete list of computer codes. \u003cul\u003e \u003cli\u003eComputer source code listings on accompanying web site\u003c\/li\u003e \u003cli\u003eProblem sets included with book\u003c\/li\u003e \u003cli\u003eReaders using MATLAB or other simulation packages will gain insight as to the inner workings of these packages, and how to account for their limitations\u003c\/li\u003e \u003cli\u003eExample computer code is provided in MATLAB\u003c\/li\u003e \u003cli\u003eSolutions Manual\u003c\/li\u003e \u003cli\u003eThe first book of its kind uniquely devoted to the field of computational electrostatics\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eIntroduction xiii\u003c\/p\u003e \u003cp\u003eAcknowledgments xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 A Review of Basic Electrostatics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Charge, Force, and the Electric Field 1\u003c\/p\u003e \u003cp\u003e1.2 Electric Flux Density and Gauss’s Law 5\u003c\/p\u003e \u003cp\u003e1.3 Conductors 7\u003c\/p\u003e \u003cp\u003e1.4 Potential, Gradient, and Capacitance 10\u003c\/p\u003e \u003cp\u003e1.5 Energy in the Electric Field 16\u003c\/p\u003e \u003cp\u003e1.6 Poisson’s and Laplace’s Equations 18\u003c\/p\u003e \u003cp\u003e1.7 Dielectric Interfaces 20\u003c\/p\u003e \u003cp\u003e1.8 Electric Dipoles 24\u003c\/p\u003e \u003cp\u003e1.9 The Case for Approximate Numerical Analysis 27\u003c\/p\u003e \u003cp\u003eProblems 29\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 The Uses of Electrostatics 33\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Basic Circuit Theory 33\u003c\/p\u003e \u003cp\u003e2.2 Radio Frequency Transmission Lines 41\u003c\/p\u003e \u003cp\u003e2.3 Vacuum Tubes and Cathode Ray Tubes 44\u003c\/p\u003e \u003cp\u003e2.4 Field Emission and the Scanning Electron Microscope 47\u003c\/p\u003e \u003cp\u003e2.5 Electrostatic Force Devices 48\u003c\/p\u003e \u003cp\u003e2.6 Gas Discharges and Lighting Devices 49\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Introduction to the Method of Moments Technique for Electrostatics 51\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Fundamental Equations 51\u003c\/p\u003e \u003cp\u003e3.2 A Working Equation Set 55\u003c\/p\u003e \u003cp\u003e3.3 The Single-Point Approximation for Off-Diagonal Terms 56\u003c\/p\u003e \u003cp\u003e3.4 Exact Solutions for the Diagonal Term and In-Plane Terms 57\u003c\/p\u003e \u003cp\u003e3.5 Approximating \u003ci\u003eL\u003csub\u003ei,j\u003c\/sub\u003e \u003c\/i\u003e61\u003c\/p\u003e \u003cp\u003eProblems 64\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Examples using the Method of Moments 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 A First Modeling Program 67\u003c\/p\u003e \u003cp\u003e4.2 Input Data File Preparation for the First Modeling Program 68\u003c\/p\u003e \u003cp\u003e4.3 Processing the Input Data 71\u003c\/p\u003e \u003cp\u003e4.4 Generating the \u003ci\u003eL\u003csub\u003ei,j\u003c\/sub\u003e \u003c\/i\u003eArray 73\u003c\/p\u003e \u003cp\u003e4.5 Solving the System and Examining Some Results 73\u003c\/p\u003e \u003cp\u003e4.6 Limits of Resolution 76\u003c\/p\u003e \u003cp\u003e4.7 Voltages and Fields 78\u003c\/p\u003e \u003cp\u003e4.8 Varying the Geometry 82\u003c\/p\u003e \u003cp\u003eProblems 87\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Symmetries, Images and Dielectrics 89\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Symmetries 89\u003c\/p\u003e \u003cp\u003e5.2 Images 90\u003c\/p\u003e \u003cp\u003e5.3 Multiple Images and the Symmetric Stripline 95\u003c\/p\u003e \u003cp\u003e5.4 Dielectric Interfaces 102\u003c\/p\u003e \u003cp\u003e5.5 Two-Dimensional Cross Sections of Uniform Three-Dimensional Structures 108\u003c\/p\u003e \u003cp\u003e5.6 Charge Profiles and Current Bunching 113\u003c\/p\u003e \u003cp\u003e5.7 Cylinder between Two Planes 116\u003c\/p\u003e \u003cp\u003eProblems 121\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Triangles 123\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction to Triangular Cells 123\u003c\/p\u003e \u003cp\u003e6.2 Right Triangles 124\u003c\/p\u003e \u003cp\u003e6.3 Calculating \u003ci\u003eL\u003csub\u003ei,i \u003c\/sub\u003e\u003c\/i\u003e(Self ) Coefficients 125\u003c\/p\u003e \u003cp\u003e6.4 Calculating \u003ci\u003eL\u003csub\u003ei,j \u003c\/sub\u003e\u003c\/i\u003efor \u003ci\u003ei ≠\u003c\/i\u003e \u003ci\u003ej \u003c\/i\u003e127\u003c\/p\u003e \u003cp\u003e6.5 Basic Meshing and Data Formats for Triangular Cell MoM Programs 127\u003c\/p\u003e \u003cp\u003e6.6 Using MATLAB to Generate Triangular Meshings 135\u003c\/p\u003e \u003cp\u003e6.7 Calculating Voltages 139\u003c\/p\u003e \u003cp\u003e6.8 Calculating the Electric Field 141\u003c\/p\u003e \u003cp\u003e6.9 Three-Dimensional Structures 143\u003c\/p\u003e \u003cp\u003e6.10 Charge Profiles 152\u003c\/p\u003e \u003cp\u003eProblems 156\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Summary and Overview 159\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Where We Were, Where We’re Going 159\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 The Finite Difference Method \u003c\/b\u003e163\u003c\/p\u003e \u003cp\u003e8.1 Introduction and a Simple Example 163\u003c\/p\u003e \u003cp\u003e8.2 Setting Up and Solving a Basic Problem 165\u003c\/p\u003e \u003cp\u003e8.3 The Gauss–Seidel (Relaxation) Solution Technique 172\u003c\/p\u003e \u003cp\u003e8.4 Charge, Gauss’s Law, and Resolution 175\u003c\/p\u003e \u003cp\u003e8.5 Voltages and Fields 177\u003c\/p\u003e \u003cp\u003e8.6 Stored Energy and Capacitance 178\u003c\/p\u003e \u003cp\u003eProblems 181\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Refining the Finite Difference Method 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Refined Grids 183\u003c\/p\u003e \u003cp\u003e9.2 Arbitrary Conductor Shapes 189\u003c\/p\u003e \u003cp\u003e9.3 Mixed Dielectric Regions and a New Derivation of the Finite Difference Equation 194\u003c\/p\u003e \u003cp\u003e9.4 Example: Structure with a Dielectric Interface 195\u003c\/p\u003e \u003cp\u003e9.5 Axisymmetric Cylindrical Coordinates 196\u003c\/p\u003e \u003cp\u003e9.6 Symmetry Boundary Condition 205\u003c\/p\u003e \u003cp\u003e9.7 Duality, and Upper and Lower Bounds to Solutions for Transmission Lines 207\u003c\/p\u003e \u003cp\u003e9.8 Extrapolation 214\u003c\/p\u003e \u003cp\u003e9.9 Three-Dimensional Grids 217\u003c\/p\u003e \u003cp\u003eProblems 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Multielectrode Systems 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Multielectrode Structures 227\u003c\/p\u003e \u003cp\u003e10.2 Utilizing Superposition 229\u003c\/p\u003e \u003cp\u003e10.3 Utilizing Symmetry 230\u003c\/p\u003e \u003cp\u003e10.4 Circuital Relations and a Caveat 230\u003c\/p\u003e \u003cp\u003e10.5 Floating Electrodes 232\u003c\/p\u003e \u003cp\u003eProblems 234\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Probabilistic Potential Theory 237\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Random Walks and the Diffusion Equation 237\u003c\/p\u003e \u003cp\u003e11.2 Voltage at a Point from Random Walks 239\u003c\/p\u003e \u003cp\u003e11.3 Diffusion 246\u003c\/p\u003e \u003cp\u003e11.4 Variable-Step-Size Random Walks 249\u003c\/p\u003e \u003cp\u003e11.5 Three-Dimensional Structures 260\u003c\/p\u003e \u003cp\u003eProblems 261\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 The Finite Element Method (FEM) 265\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 265\u003c\/p\u003e \u003cp\u003e12.2 Solving Laplace’s Equation by Minimizing Stored Energy 266\u003c\/p\u003e \u003cp\u003e12.3 A Simple One-Dimensional Example 267\u003c\/p\u003e \u003cp\u003e12.4 A Very Simple Finite Element Approximation 271\u003c\/p\u003e \u003cp\u003e12.5 Arbitrary Number of Lines Approximation 274\u003c\/p\u003e \u003cp\u003e12.6 Mixed Dielectrics 278\u003c\/p\u003e \u003cp\u003e12.7 A Quadratic Approximation 279\u003c\/p\u003e \u003cp\u003e12.8 A Simple Two-Dimensional FEM Program 282\u003c\/p\u003e \u003cp\u003eProblems 287\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Triangles and Two-Dimensional Unstructured Grids 289\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 289\u003c\/p\u003e \u003cp\u003e13.2 Aside: The Area of a Triangle 290\u003c\/p\u003e \u003cp\u003e13.3 The Coefficient Matrix 291\u003c\/p\u003e \u003cp\u003e13.4 A Simple Example 293\u003c\/p\u003e \u003cp\u003e13.5 A Two-Dimensional Triangular Mesh Program 296\u003c\/p\u003e \u003cp\u003eProblems 300\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 A Zoning System and Some Examples 303\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 General Introduction 303\u003c\/p\u003e \u003cp\u003e14.2 Introduction to gmsh 304\u003c\/p\u003e \u003cp\u003e14.3 Translating the gmsh.msh File 308\u003c\/p\u003e \u003cp\u003e14.4 Running the FEM Analysis 319\u003c\/p\u003e \u003cp\u003e14.5 More gmsh Features and Examining the Electric Field 320\u003c\/p\u003e \u003cp\u003e14.6 Multiple Electrodes 324\u003c\/p\u003e \u003cp\u003eProblems 327\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Some FEM Topics 329\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Symmetries 329\u003c\/p\u003e \u003cp\u003e15.2 A Symmetry Example, Including a Two-Sided Capacitance Estimate 330\u003c\/p\u003e \u003cp\u003e15.3 Axisymmetric Structures 337\u003c\/p\u003e \u003cp\u003e15.4 The Graded-Potential Boundary Condition 348\u003c\/p\u003e \u003cp\u003e15.5 Unbounded Regions 352\u003c\/p\u003e \u003cp\u003e15.6 Dielectric Materials 364\u003c\/p\u003e \u003cp\u003eProblems 371\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 FEM in Three Dimensions 375\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Creating Three-Dimensional Meshes 375\u003c\/p\u003e \u003cp\u003e16.2 The FEM Coefficient Matrix in Three Dimensions 384\u003c\/p\u003e \u003cp\u003e16.3 Parsing the gmsh Files and Setting Boundary Conditions 386\u003c\/p\u003e \u003cp\u003e16.4 Open Boundaries and Cylinders in Space 392\u003c\/p\u003e \u003cp\u003eProblems 396\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Electrostatic Forces 399\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Introduction 399\u003c\/p\u003e \u003cp\u003e17.2 Electron Beam Acceleration and Control 400\u003c\/p\u003e \u003cp\u003e17.3 The Electrostatic Relay (Switch) 408\u003c\/p\u003e \u003cp\u003e17.4 Electrets and Piezoelectricity: An Overview 414\u003c\/p\u003e \u003cp\u003e17.5 Points on a Sphere 415\u003c\/p\u003e \u003cp\u003eProblems 419\u003c\/p\u003e \u003cp\u003eAppendix Interfacing with Other Languages 423\u003c\/p\u003e \u003cp\u003eIndex 431\u003c\/p\u003e  \u003cp\u003e“The author well organized fundamental theories on electrostatics and also presented numerical examples, in which typical numerical methods, e.g., finite difference method, finite element method, and method of moment, are introduced and demonstrated by Matlab.”  (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 1 October 2014)\u003c\/p\u003e \u003cp\u003e\u003cb\u003eLAWRENCE N. DWORSKY\u003c\/b\u003e 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.\u003cbr\u003eFrom 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.\u003c\/p\u003e   \u003cp\u003e\u003cb\u003eINTRODUCTION TO NUMERICAL ELECTROSTATICS USING MATLAB\u003csup\u003e®\u003c\/sup\u003e\u003c\/b\u003e\u003c\/p\u003e","brand":"Wiley-IEEE Press","offers":[{"title":"Default Title","offer_id":47989463711973,"sku":"NP9781118449745","price":103.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118449745.jpg?v=1761784204","url":"https:\/\/k12savings.com\/products\/introduction-to-numerical-electrostatics-using-matlab-isbn-9781118449745","provider":"K12savings","version":"1.0","type":"link"}