{"product_id":"circuit-oriented-electromagnetic-modeling-using-the-peec-techniques-isbn-9781118436646","title":"Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques","description":"\u003cp\u003e\u003cb\u003eBridges the gap between electromagnetics and circuits by addressing electrometric modeling (EM) using the Partial Element Equivalent Circuit (PEEC) method \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThis book provides intuitive solutions to electromagnetic problems by using the Partial Element Equivalent Circuit (PEEC) method. This book begins with an introduction to circuit analysis techniques, laws, and frequency and time domain analyses. The authors also treat Maxwell's equations, capacitance computations, and inductance computations through the lens of the PEEC method. Next, readers learn to build PEEC models in various forms: equivalent circuit models, non-orthogonal PEEC models, skin-effect models, PEEC models for dielectrics, incident and radiate field models, and scattering PEEC models. The book concludes by considering issues like stability and passivity, and includes five appendices some with formulas for partial elements.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eLeads readers to the solution of a multitude of practical problems in the areas of signal and power integrity and electromagnetic interference\u003c\/li\u003e \u003cli\u003eContains fundamentals, applications, and examples of the PEEC method\u003c\/li\u003e \u003cli\u003eIncludes detailed mathematical derivations\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eCircuit Oriented Electromagnetic Modeling Using the PEEC Techniques \u003c\/i\u003eis a reference for students, researchers, and developers who work on the physical layer modeling of IC interconnects and Packaging, PCBs, and high speed links. \u003c\/p\u003e \u003cp\u003eDEDICATION xv\u003c\/p\u003e \u003cp\u003ePREFACE xvii\u003c\/p\u003e \u003cp\u003eACKNOWLEDGEMENTS xxi\u003c\/p\u003e \u003cp\u003eACRONYMS xxv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReferences, 6\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Circuit Analysis for PEEC Methods 9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Circuit Analysis Techniques, 9\u003c\/p\u003e \u003cp\u003e2.2 Overall Electromagnetic and Circuit Solver Structure, 9\u003c\/p\u003e \u003cp\u003e2.3 Circuit Laws, 11\u003c\/p\u003e \u003cp\u003e2.4 Frequency and Time Domain Analyses, 13\u003c\/p\u003e \u003cp\u003e2.5 Frequency Domain Analysis Formulation, 14\u003c\/p\u003e \u003cp\u003e2.6 Time Domain Analysis Formulations, 17\u003c\/p\u003e \u003cp\u003e2.7 General Modified Nodal Analysis (MNA), 22\u003c\/p\u003e \u003cp\u003e2.8 Including Frequency Dependent Models in Time Domain Solution, 28\u003c\/p\u003e \u003cp\u003e2.9 Including Frequency Domain Models in Circuit Solution, 31\u003c\/p\u003e \u003cp\u003e2.10 Recursive Convolution Solution, 39\u003c\/p\u003e \u003cp\u003e2.11 Circuit Models with Delays or Retardation, 41\u003c\/p\u003e \u003cp\u003eProblems, 43\u003c\/p\u003e \u003cp\u003eReferences, 44\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Maxwell’s Equations 47\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Maxwell’s Equations for PEEC Solutions, 47\u003c\/p\u003e \u003cp\u003e3.2 Auxiliary Potentials, 52\u003c\/p\u003e \u003cp\u003e3.3 Wave Equations and Their Solutions, 54\u003c\/p\u003e \u003cp\u003e3.4 Green’s Function, 58\u003c\/p\u003e \u003cp\u003e3.5 Equivalence Principles, 60\u003c\/p\u003e \u003cp\u003e3.6 Numerical Solution of Integral Equations, 63\u003c\/p\u003e \u003cp\u003eProblems, 65\u003c\/p\u003e \u003cp\u003eReferences, 66\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Capacitance Computations 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Multiconductor Capacitance Concepts, 68\u003c\/p\u003e \u003cp\u003e4.2 Capacitance Models, 69\u003c\/p\u003e \u003cp\u003e4.3 Solution Techniques for Capacitance Problems, 74\u003c\/p\u003e \u003cp\u003e4.4 Meshing Related Accuracy Problems for PEEC Model, 79\u003c\/p\u003e \u003cp\u003e4.5 Representation of Capacitive Currents for PEEC Models, 82\u003c\/p\u003e \u003cp\u003eProblems, 85\u003c\/p\u003e \u003cp\u003eReferences, 86\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Inductance Computations 89\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Loop Inductance Computations, 90\u003c\/p\u003e \u003cp\u003e5.2 Inductance Computation Using a Solution or a Circuit Solver, 95\u003c\/p\u003e \u003cp\u003e5.3 Flux Loops for Partial Inductance, 95\u003c\/p\u003e \u003cp\u003e5.4 Inductances of Incomplete Structures, 96\u003c\/p\u003e \u003cp\u003e5.5 Computation of Partial Inductances, 99\u003c\/p\u003e \u003cp\u003e5.6 General Inductance Computations Using Partial Inductances and Open Loop Inductance, 107\u003c\/p\u003e \u003cp\u003e5.7 Difference Cell Pair Inductance Models, 109\u003c\/p\u003e \u003cp\u003e5.8 Partial Inductances with Frequency Domain Retardation, 119\u003c\/p\u003e \u003cp\u003eRetardation, 123\u003c\/p\u003e \u003cp\u003eProblems, 125\u003c\/p\u003e \u003cp\u003eReferences, 131\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Building PEEC Models 133\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Resistive Circuit Elements for Manhattan-Type Geometries, 134\u003c\/p\u003e \u003cp\u003e6.2 Inductance–Resistance (Lp,R)PEEC Models, 136\u003c\/p\u003e \u003cp\u003e6.3 General (Lp,p,R)PEEC Model Development, 138\u003c\/p\u003e \u003cp\u003e6.4 Complete PEEC Model with Input and Output Connections, 148\u003c\/p\u003e \u003cp\u003e6.5 Time Domain Representation, 154\u003c\/p\u003e \u003cp\u003eProblems, 154\u003c\/p\u003e \u003cp\u003eReferences, 155\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Nonorthogonal PEEC Models 157\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Representation of Nonorthogonal Shapes, 158\u003c\/p\u003e \u003cp\u003e7.2 Specification of Nonorthogonal Partial Elements, 163\u003c\/p\u003e \u003cp\u003e7.3 Evaluation of Partial Elements for Nonorthogonal PEEC Circuits, 169\u003c\/p\u003e \u003cp\u003eProblems, 181\u003c\/p\u003e \u003cp\u003eReferences, 182\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Geometrical Description and Meshing 185\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 General Aspects of PEEC Model Meshing Requirements, 186\u003c\/p\u003e \u003cp\u003e8.2 Outline of Some Meshing Techniques Available Today, 187\u003c\/p\u003e \u003cp\u003e8.3 SPICE Type Geometry Description, 194\u003c\/p\u003e \u003cp\u003e8.4 Detailed Properties of Meshing Algorithms, 196\u003c\/p\u003e \u003cp\u003e8.5 Automatic Generation of Geometrical Objects, 202\u003c\/p\u003e \u003cp\u003e8.6 Meshing of Some Three Dimensional Pre-determined Shapes, 205\u003c\/p\u003e \u003cp\u003e8.7 Approximations with Simplified Meshes, 207\u003c\/p\u003e \u003cp\u003e8.8 Mesh Generation Codes, 208\u003c\/p\u003e \u003cp\u003eProblems, 209\u003c\/p\u003e \u003cp\u003eReferences, 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Skin Effect Modeling 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Transmission Line Based Models, 214\u003c\/p\u003e \u003cp\u003e9.2 One Dimensional Current Flow Techniques, 215\u003c\/p\u003e \u003cp\u003e9.3 3D Volume Filament (VFI) Skin-Effect Model, 227\u003c\/p\u003e \u003cp\u003e9.4 Comparisons of Different Skin-Effect Models, 238\u003c\/p\u003e \u003cp\u003eProblems, 244\u003c\/p\u003e \u003cp\u003eReferences, 246\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 PEEC Models for Dielectrics 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Electrical Models for Dielectric Materials, 249\u003c\/p\u003e \u003cp\u003e10.2 Circuit Oriented Models for Dispersive Dielectrics, 254\u003c\/p\u003e \u003cp\u003e10.3 Multi-Pole Debye Model, 257\u003c\/p\u003e \u003cp\u003e10.4 Including Dielectric Models in PEEC Solutions, 260\u003c\/p\u003e \u003cp\u003e10.5 Example for Impact of Dielectric Properties in the Time Domain, 276\u003c\/p\u003e \u003cp\u003eProblems, 281\u003c\/p\u003e \u003cp\u003eReferences, 281\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 PEEC Models for Magnetic Material 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Inclusion of Problems with Magnetic Materials, 285\u003c\/p\u003e \u003cp\u003e11.2 Model for Magnetic Bodies by Using a Magnetic Scalar Potential and Magnetic Charge Formulation, 292\u003c\/p\u003e \u003cp\u003e11.3 PEEC Formulation Including Magnetic Bodies, 295\u003c\/p\u003e \u003cp\u003e11.4 Surface Models for Magnetic and Dielectric Material Solutions in PEEC, 300\u003c\/p\u003e \u003cp\u003eProblems, 307\u003c\/p\u003e \u003cp\u003eReferences, 308\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Incident and Radiated Field Models 309\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 External Incident Field Applied to PEEC Model, 310\u003c\/p\u003e \u003cp\u003e12.2 Far-Field Radiation Models by Using Sensors, 312\u003c\/p\u003e \u003cp\u003e12.3 Direct Far-Field Radiation Computation, 318\u003c\/p\u003e \u003cp\u003eProblems, 322\u003c\/p\u003e \u003cp\u003eReferences, 322\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Stability and Passivity of PEEC Models 325\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Fundamental Stability and Passivity Concepts, 327\u003c\/p\u003e \u003cp\u003e13.2 Analysis of Properties of PEEC Circuits, 332\u003c\/p\u003e \u003cp\u003e13.3 Observability and Controllability of PEEC Circuits, 334\u003c\/p\u003e \u003cp\u003e13.4 Passivity Assessment of Solution, 337\u003c\/p\u003e \u003cp\u003e13.5 Solver Based Stability and Passivity Enhancement Techniques, 342\u003c\/p\u003e \u003cp\u003e13.6 Time Domain Solver Issues for Stability and Passivity, 359\u003c\/p\u003e \u003cp\u003eAcknowledgment, 364\u003c\/p\u003e \u003cp\u003eProblems, 364\u003c\/p\u003e \u003cp\u003eReferences, 365\u003c\/p\u003e \u003cp\u003eA Table of Units 369\u003c\/p\u003e \u003cp\u003eA.1 Collection of Variables and Constants for Different Applications, 369\u003c\/p\u003e \u003cp\u003eB Modified Nodal Analysis Stamps 373\u003c\/p\u003e \u003cp\u003eB.1 Modified Nodal Analysis Matrix Stamps, 373\u003c\/p\u003e \u003cp\u003eB.2 Controlled Source Stamps, 380\u003c\/p\u003e \u003cp\u003eReferences, 382\u003c\/p\u003e \u003cp\u003eC Computation of Partial Inductances 383\u003c\/p\u003e \u003cp\u003eC.1 Partial Inductance Formulas for Orthogonal Geometries, 385\u003c\/p\u003e \u003cp\u003eC.2 Partial inductance formulas for nonorthogonal geometries, 398\u003c\/p\u003e \u003cp\u003eReferences, 407\u003c\/p\u003e \u003cp\u003eD Computation of Partial Coefficients of Potential 409\u003c\/p\u003e \u003cp\u003eD.1 Partial Potential Coefficients for Orthogonal Geometries, 410\u003c\/p\u003e \u003cp\u003eD.2 Partial Potential Coefficient Formulas for Nonorthogonal Geometries, 418\u003c\/p\u003e \u003cp\u003eReferences, 421\u003c\/p\u003e \u003cp\u003eE Auxiliary Techniques for Partial Element Computations 423\u003c\/p\u003e \u003cp\u003eE.1 Multi-function Partial Element Integration, 423\u003c\/p\u003e \u003cp\u003eSubdivisions for Nonself-Partial Elements, 428\u003c\/p\u003e \u003cp\u003eReferences, 429\u003c\/p\u003e \u003cp\u003eINDEX 431\u003c\/p\u003e \u003cp\u003e\u003cb\u003eALBERT E. RUEHLI\u003c\/b\u003e is an Adjunct Professor at MST Rolla, Missouri. He received his PhD, EE, at the University of Vermont and an honorary doctorate from Lulea University, Sweden. Ruehli received the Golden Jubilee Medal, the Guillemin-Cauer Prize from the IEEE CAS and the Richard Stoddart Award from the IEEE EMC Society.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eGIULI ANTONINI\u003c\/b\u003e is a Full Professor in the Department of Industrial and Information Engineering and Economics at the Universit?? degli Studi dell'Aquila in L'Aquila, Italy. He received his PhD from the University of Rome \"Sapienza.\" He worked on the development of the PEEC method for more than 15 years.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eLIJUN JIANG\u003c\/b\u003e is an Associate Professor in the Department of EEE at the University of Hong Kong. He received HP STAR Award, Y.T. Lo Outstanding Research Award, IBM Research Technical Achievement Award, and other awards. He serves as the Associate Editor for IEEE Transactions on Antennas and Propagation and for PIER.\u003c\/p\u003e \u003cp\u003eThis book provides intuitive solutions to electromagnetic problems by using the Partial Eelement Eequivalent Ccircuit (PEEC) method. This book begins with an introduction to circuit analysis techniques, laws, and frequency and time domain analyses. The authors also treat Maxwell's equations, capacitance computations, and inductance computations through the lens of the PEEC method. Next, readers learn to build PEEC models in various forms: equivalent circuit models, non orthogonal PEEC models, skin-effect models, PEEC models for dielectrics, incident and radiate field models, and scattering PEEC models. The book concludes by considering issues like such as stability and passivity, and includes five appendices some with formulas for partial elements.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eLeads readers to the solution of a multitude of practical problems in the areas of signal and power integrity and electromagnetic interference\u003c\/li\u003e \u003cli\u003eContains fundamentals, applications, and examples of the PEEC method\u003c\/li\u003e \u003cli\u003eIncludes detailed mathematical derivations\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eCircuit-Oriented Electromagnetic Modeling Using the PEEC Techniques\u003c\/i\u003e is a reference for students, researchers, and developers who work on the physical layer modeling of IC interconnects and packaging, PCBs, and high-speed links.\u003c\/p\u003e","brand":"Wiley-IEEE Press","offers":[{"title":"Default Title","offer_id":47988921729253,"sku":"NP9781118436646","price":162.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118436646.jpg?v=1761782061","url":"https:\/\/k12savings.com\/es\/products\/circuit-oriented-electromagnetic-modeling-using-the-peec-techniques-isbn-9781118436646","provider":"K12savings","version":"1.0","type":"link"}