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Essentials of computational electromagnetics / / Xin-Qing Sheng, Wei Song
Essentials of computational electromagnetics / / Xin-Qing Sheng, Wei Song
Autore Sheng Xin-Qing <1968->
Pubbl/distr/stampa Hoboken, New Jersey : , : IEEE, , 2012
Descrizione fisica 1 online resource (x, 279 p. ) : ill
Disciplina 537.0285
Altri autori (Persone) SongWei
Soggetto topico Electromagnetism - Data processing
Electromagnetism - Mathematical models
ISBN 0-470-82964-8
0-470-82963-X
0-470-82965-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface ix -- 1 Mathematical Formulations for Electromagnetic Fields 1 -- 1.1 Deterministic Vector Partial Differential System of the Electromagnetic Fields 1 -- 1.1.1 Maxwell's Equations 1 -- 1.1.2 Constitutive Relations 3 -- 1.1.3 Boundary Conditions 3 -- 1.1.4 Maxwell's Equations in the Frequency Domain 5 -- 1.1.5 Uniqueness Theorem 6 -- 1.2 Vector Wave Equation of the Electromagnetic Fields 8 -- 1.3 Vector Integral Equation of the Electromagnetic Fields 8 -- 1.3.1 Equivalence Principle 9 -- 1.3.2 Solution of Maxwell's Equation in Free Space 11 -- 1.3.3 Integral Equations of Metallic Scattering Problems 14 -- 1.3.4 Integral Equation of Homogeneous Dielectric Scattering Problems 16 -- 1.3.5 Integral Equation of Inhomogeneous Dielectric Scattering Problems 19 -- 1.3.6 Integral Equations of Scattering in Layered Medium 20 -- References 28 -- 2 Method of Moments 29 -- 2.1 Scattering from 3D PEC Objects 29 -- 2.1.1 Formulation of the Problem 30 -- 2.1.2 Discretization in MoM 30 -- 2.1.3 Choice of Basis and Testing Functions 31 -- 2.1.4 Discretized Integral Equation (DIE) and the Numerical Behavior Analysis 34 -- 2.1.5 Handling of Singularity 36 -- 2.1.6 Comparison of EFIE and MFIE 71 -- 2.1.7 Interior Resonance Problem 73 -- 2.1.8 Fast Multipole Method 74 -- 2.1.9 Calculation of Scattered Fields 86 -- 2.1.10 Writing Computer Program 89 -- 2.1.11 Numerical Examples 94 -- 2.1.12 Parallel Technology 100 -- 2.1.13 Strong Scalability 106 -- 2.1.14 Weak Scalability 107 -- 2.2 Scattering from Three-Dimensional Homogeneous Dielectric Objects 109 -- 2.2.1 Mathematic Formulation of the Problem 111 -- 2.2.2 Discretized Forms and Their Numerical Performance 112 -- 2.2.3 Numerical Examples 118 -- 2.2.4 Implementation of Single Integral Equation and the Numerical Characteristics 122 -- 2.3 Scattering from Three-Dimensional Inhomogeneous Dielectric Objects 128 -- 2.3.1 Mathematic Formulation of the Problem 129 -- 2.3.2 Rooftop Basis Functions 130 -- 2.3.3 Discretization of the VIE 131.
2.3.4 Singularity Processing 134 -- 2.3.5 Fast Solution of the Discretized VIE 135 -- 2.3.6 Numerical Examples 136 -- 2.4 Essential Points in MoM for Solving Other Problems 136 -- 2.4.1 Scattering from Two-Dimensional Objects 138 -- 2.4.2 Scattering from Periodic Structures 141 -- 2.4.3 Scattering from Two-and-Half-Dimensional Objects 144 -- 2.4.4 Radiation Problems 146 -- References 150 -- 3 Finite-Element Method 153 -- 3.1 Eigenmodes Problems of Dielectric-Loaded Waveguides 153 -- 3.1.1 Functional Formulation 154 -- 3.1.2 Choice of Basis Functions 159 -- 3.1.3 Discretization of the Functional 161 -- 3.1.4 Imposition of the Boundary Condition 164 -- 3.1.5 Solution of the Generalized Eigenvalue Equation 165 -- 3.1.6 Computer Programming 166 -- 3.1.7 Numerical Examples 170 -- 3.2 Discontinuity Problem in Waveguides 170 -- 3.2.1 Functional Formulation 171 -- 3.2.2 Choice of the Basis Functions 174 -- 3.2.3 Discretization of the Functional 176 -- 3.2.4 Solution of the Linear Equations 178 -- 3.2.5 Extraction of the Scattering Parameters 180 -- 3.2.6 Numerical Examples 182 -- 3.3 Scattering from Three-Dimensional Objects 184 -- 3.3.1 Mathematic Formulation of the Problem 184 -- 3.3.2 Writing Computer Program 187 -- 3.3.3 Numerical Results 190 -- 3.4 Node-Edge Element 192 -- 3.4.1 Construction of Node-Edge Element 192 -- 3.4.2 Implementation of Node-Edge Element 193 -- 3.4.3 Numerical Examples 195 -- 3.5 Higher-Order Element 196 -- 3.6 Finite-Element Time-Domain Method 200 -- 3.7 More Comments on FEM 203 -- References 205 -- 4 Finite-Difference Time-Domain Method 207 -- 4.1 Scattering from a Three-Dimensional Objects 207 -- 4.1.1 FDTD Solution Scheme 208 -- 4.1.2 Perfectly Matched Layers 209 -- 4.1.3 Yee Discretizing Scheme 215 -- 4.1.4 Discretization of the Scatterer Model 220 -- 4.1.5 Treatment on the Curved Boundary 220 -- 4.1.6 Determination of the Unit Size and the Time Step 222 -- 4.1.7 Plane Waves in Time Domain 223 -- 4.1.8 Calculation of Incident Plane Waves in Time Domain 225.
4.1.9 Calculation of the Radar Cross Section 227 -- 4.1.10 Computer Programing and Numerical Examples 229 -- 4.2 Treatment for Special Problems 233 -- 4.2.1 Treatments for Thin Metallic Wires 233 -- 4.2.2 Treatments for Dispersive Media 235 -- 4.2.3 Treatments for Lumped Elements 237 -- 4.3 Comparison of the MoM, FEM and FDTD Methods 239 -- References 240 -- 5 Hybrid Methods 243 -- 5.1 Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methods 244 -- 5.1.1 Hybird Physical Optics Method and FEM 244 -- 5.1.2 Hybrid Physical Optics Method and Moment Method 248 -- 5.2 Hybrid Full-Wave Numerical Methods 251 -- 5.2.1 Hybrid FE-BI-MLFMA 252 -- 5.2.2 Hybrid Method Combining EFIE and MFIE 266 -- 5.2.3 Hybrid Method Combining FEM and Mode-Matching Method 271 -- References 276 -- Index 277.
Record Nr. UNISA-996226139003316
Sheng Xin-Qing <1968->  
Hoboken, New Jersey : , : IEEE, , 2012
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Essentials of computational electromagnetics / / Xin-Qing Sheng, Wei Song
Essentials of computational electromagnetics / / Xin-Qing Sheng, Wei Song
Autore Sheng Xin-Qing <1968->
Pubbl/distr/stampa Hoboken, New Jersey : , : IEEE, , 2012
Descrizione fisica 1 online resource (x, 279 p. ) : ill
Disciplina 537.0285
Altri autori (Persone) SongWei
Soggetto topico Electromagnetism - Data processing
Electromagnetism - Mathematical models
ISBN 0-470-82964-8
0-470-82963-X
0-470-82965-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface ix -- 1 Mathematical Formulations for Electromagnetic Fields 1 -- 1.1 Deterministic Vector Partial Differential System of the Electromagnetic Fields 1 -- 1.1.1 Maxwell's Equations 1 -- 1.1.2 Constitutive Relations 3 -- 1.1.3 Boundary Conditions 3 -- 1.1.4 Maxwell's Equations in the Frequency Domain 5 -- 1.1.5 Uniqueness Theorem 6 -- 1.2 Vector Wave Equation of the Electromagnetic Fields 8 -- 1.3 Vector Integral Equation of the Electromagnetic Fields 8 -- 1.3.1 Equivalence Principle 9 -- 1.3.2 Solution of Maxwell's Equation in Free Space 11 -- 1.3.3 Integral Equations of Metallic Scattering Problems 14 -- 1.3.4 Integral Equation of Homogeneous Dielectric Scattering Problems 16 -- 1.3.5 Integral Equation of Inhomogeneous Dielectric Scattering Problems 19 -- 1.3.6 Integral Equations of Scattering in Layered Medium 20 -- References 28 -- 2 Method of Moments 29 -- 2.1 Scattering from 3D PEC Objects 29 -- 2.1.1 Formulation of the Problem 30 -- 2.1.2 Discretization in MoM 30 -- 2.1.3 Choice of Basis and Testing Functions 31 -- 2.1.4 Discretized Integral Equation (DIE) and the Numerical Behavior Analysis 34 -- 2.1.5 Handling of Singularity 36 -- 2.1.6 Comparison of EFIE and MFIE 71 -- 2.1.7 Interior Resonance Problem 73 -- 2.1.8 Fast Multipole Method 74 -- 2.1.9 Calculation of Scattered Fields 86 -- 2.1.10 Writing Computer Program 89 -- 2.1.11 Numerical Examples 94 -- 2.1.12 Parallel Technology 100 -- 2.1.13 Strong Scalability 106 -- 2.1.14 Weak Scalability 107 -- 2.2 Scattering from Three-Dimensional Homogeneous Dielectric Objects 109 -- 2.2.1 Mathematic Formulation of the Problem 111 -- 2.2.2 Discretized Forms and Their Numerical Performance 112 -- 2.2.3 Numerical Examples 118 -- 2.2.4 Implementation of Single Integral Equation and the Numerical Characteristics 122 -- 2.3 Scattering from Three-Dimensional Inhomogeneous Dielectric Objects 128 -- 2.3.1 Mathematic Formulation of the Problem 129 -- 2.3.2 Rooftop Basis Functions 130 -- 2.3.3 Discretization of the VIE 131.
2.3.4 Singularity Processing 134 -- 2.3.5 Fast Solution of the Discretized VIE 135 -- 2.3.6 Numerical Examples 136 -- 2.4 Essential Points in MoM for Solving Other Problems 136 -- 2.4.1 Scattering from Two-Dimensional Objects 138 -- 2.4.2 Scattering from Periodic Structures 141 -- 2.4.3 Scattering from Two-and-Half-Dimensional Objects 144 -- 2.4.4 Radiation Problems 146 -- References 150 -- 3 Finite-Element Method 153 -- 3.1 Eigenmodes Problems of Dielectric-Loaded Waveguides 153 -- 3.1.1 Functional Formulation 154 -- 3.1.2 Choice of Basis Functions 159 -- 3.1.3 Discretization of the Functional 161 -- 3.1.4 Imposition of the Boundary Condition 164 -- 3.1.5 Solution of the Generalized Eigenvalue Equation 165 -- 3.1.6 Computer Programming 166 -- 3.1.7 Numerical Examples 170 -- 3.2 Discontinuity Problem in Waveguides 170 -- 3.2.1 Functional Formulation 171 -- 3.2.2 Choice of the Basis Functions 174 -- 3.2.3 Discretization of the Functional 176 -- 3.2.4 Solution of the Linear Equations 178 -- 3.2.5 Extraction of the Scattering Parameters 180 -- 3.2.6 Numerical Examples 182 -- 3.3 Scattering from Three-Dimensional Objects 184 -- 3.3.1 Mathematic Formulation of the Problem 184 -- 3.3.2 Writing Computer Program 187 -- 3.3.3 Numerical Results 190 -- 3.4 Node-Edge Element 192 -- 3.4.1 Construction of Node-Edge Element 192 -- 3.4.2 Implementation of Node-Edge Element 193 -- 3.4.3 Numerical Examples 195 -- 3.5 Higher-Order Element 196 -- 3.6 Finite-Element Time-Domain Method 200 -- 3.7 More Comments on FEM 203 -- References 205 -- 4 Finite-Difference Time-Domain Method 207 -- 4.1 Scattering from a Three-Dimensional Objects 207 -- 4.1.1 FDTD Solution Scheme 208 -- 4.1.2 Perfectly Matched Layers 209 -- 4.1.3 Yee Discretizing Scheme 215 -- 4.1.4 Discretization of the Scatterer Model 220 -- 4.1.5 Treatment on the Curved Boundary 220 -- 4.1.6 Determination of the Unit Size and the Time Step 222 -- 4.1.7 Plane Waves in Time Domain 223 -- 4.1.8 Calculation of Incident Plane Waves in Time Domain 225.
4.1.9 Calculation of the Radar Cross Section 227 -- 4.1.10 Computer Programing and Numerical Examples 229 -- 4.2 Treatment for Special Problems 233 -- 4.2.1 Treatments for Thin Metallic Wires 233 -- 4.2.2 Treatments for Dispersive Media 235 -- 4.2.3 Treatments for Lumped Elements 237 -- 4.3 Comparison of the MoM, FEM and FDTD Methods 239 -- References 240 -- 5 Hybrid Methods 243 -- 5.1 Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methods 244 -- 5.1.1 Hybird Physical Optics Method and FEM 244 -- 5.1.2 Hybrid Physical Optics Method and Moment Method 248 -- 5.2 Hybrid Full-Wave Numerical Methods 251 -- 5.2.1 Hybrid FE-BI-MLFMA 252 -- 5.2.2 Hybrid Method Combining EFIE and MFIE 266 -- 5.2.3 Hybrid Method Combining FEM and Mode-Matching Method 271 -- References 276 -- Index 277.
Record Nr. UNINA-9910208840203321
Sheng Xin-Qing <1968->  
Hoboken, New Jersey : , : IEEE, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Essentials of computational electromagnetics / / Xin-Qing Sheng, Wei Song
Essentials of computational electromagnetics / / Xin-Qing Sheng, Wei Song
Autore Sheng Xin-Qing <1968->
Pubbl/distr/stampa Hoboken, New Jersey : , : IEEE, , 2012
Descrizione fisica 1 online resource (x, 279 p. ) : ill
Disciplina 537.0285
Altri autori (Persone) SongWei
Soggetto topico Electromagnetism - Data processing
Electromagnetism - Mathematical models
ISBN 0-470-82964-8
0-470-82963-X
0-470-82965-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface ix -- 1 Mathematical Formulations for Electromagnetic Fields 1 -- 1.1 Deterministic Vector Partial Differential System of the Electromagnetic Fields 1 -- 1.1.1 Maxwell's Equations 1 -- 1.1.2 Constitutive Relations 3 -- 1.1.3 Boundary Conditions 3 -- 1.1.4 Maxwell's Equations in the Frequency Domain 5 -- 1.1.5 Uniqueness Theorem 6 -- 1.2 Vector Wave Equation of the Electromagnetic Fields 8 -- 1.3 Vector Integral Equation of the Electromagnetic Fields 8 -- 1.3.1 Equivalence Principle 9 -- 1.3.2 Solution of Maxwell's Equation in Free Space 11 -- 1.3.3 Integral Equations of Metallic Scattering Problems 14 -- 1.3.4 Integral Equation of Homogeneous Dielectric Scattering Problems 16 -- 1.3.5 Integral Equation of Inhomogeneous Dielectric Scattering Problems 19 -- 1.3.6 Integral Equations of Scattering in Layered Medium 20 -- References 28 -- 2 Method of Moments 29 -- 2.1 Scattering from 3D PEC Objects 29 -- 2.1.1 Formulation of the Problem 30 -- 2.1.2 Discretization in MoM 30 -- 2.1.3 Choice of Basis and Testing Functions 31 -- 2.1.4 Discretized Integral Equation (DIE) and the Numerical Behavior Analysis 34 -- 2.1.5 Handling of Singularity 36 -- 2.1.6 Comparison of EFIE and MFIE 71 -- 2.1.7 Interior Resonance Problem 73 -- 2.1.8 Fast Multipole Method 74 -- 2.1.9 Calculation of Scattered Fields 86 -- 2.1.10 Writing Computer Program 89 -- 2.1.11 Numerical Examples 94 -- 2.1.12 Parallel Technology 100 -- 2.1.13 Strong Scalability 106 -- 2.1.14 Weak Scalability 107 -- 2.2 Scattering from Three-Dimensional Homogeneous Dielectric Objects 109 -- 2.2.1 Mathematic Formulation of the Problem 111 -- 2.2.2 Discretized Forms and Their Numerical Performance 112 -- 2.2.3 Numerical Examples 118 -- 2.2.4 Implementation of Single Integral Equation and the Numerical Characteristics 122 -- 2.3 Scattering from Three-Dimensional Inhomogeneous Dielectric Objects 128 -- 2.3.1 Mathematic Formulation of the Problem 129 -- 2.3.2 Rooftop Basis Functions 130 -- 2.3.3 Discretization of the VIE 131.
2.3.4 Singularity Processing 134 -- 2.3.5 Fast Solution of the Discretized VIE 135 -- 2.3.6 Numerical Examples 136 -- 2.4 Essential Points in MoM for Solving Other Problems 136 -- 2.4.1 Scattering from Two-Dimensional Objects 138 -- 2.4.2 Scattering from Periodic Structures 141 -- 2.4.3 Scattering from Two-and-Half-Dimensional Objects 144 -- 2.4.4 Radiation Problems 146 -- References 150 -- 3 Finite-Element Method 153 -- 3.1 Eigenmodes Problems of Dielectric-Loaded Waveguides 153 -- 3.1.1 Functional Formulation 154 -- 3.1.2 Choice of Basis Functions 159 -- 3.1.3 Discretization of the Functional 161 -- 3.1.4 Imposition of the Boundary Condition 164 -- 3.1.5 Solution of the Generalized Eigenvalue Equation 165 -- 3.1.6 Computer Programming 166 -- 3.1.7 Numerical Examples 170 -- 3.2 Discontinuity Problem in Waveguides 170 -- 3.2.1 Functional Formulation 171 -- 3.2.2 Choice of the Basis Functions 174 -- 3.2.3 Discretization of the Functional 176 -- 3.2.4 Solution of the Linear Equations 178 -- 3.2.5 Extraction of the Scattering Parameters 180 -- 3.2.6 Numerical Examples 182 -- 3.3 Scattering from Three-Dimensional Objects 184 -- 3.3.1 Mathematic Formulation of the Problem 184 -- 3.3.2 Writing Computer Program 187 -- 3.3.3 Numerical Results 190 -- 3.4 Node-Edge Element 192 -- 3.4.1 Construction of Node-Edge Element 192 -- 3.4.2 Implementation of Node-Edge Element 193 -- 3.4.3 Numerical Examples 195 -- 3.5 Higher-Order Element 196 -- 3.6 Finite-Element Time-Domain Method 200 -- 3.7 More Comments on FEM 203 -- References 205 -- 4 Finite-Difference Time-Domain Method 207 -- 4.1 Scattering from a Three-Dimensional Objects 207 -- 4.1.1 FDTD Solution Scheme 208 -- 4.1.2 Perfectly Matched Layers 209 -- 4.1.3 Yee Discretizing Scheme 215 -- 4.1.4 Discretization of the Scatterer Model 220 -- 4.1.5 Treatment on the Curved Boundary 220 -- 4.1.6 Determination of the Unit Size and the Time Step 222 -- 4.1.7 Plane Waves in Time Domain 223 -- 4.1.8 Calculation of Incident Plane Waves in Time Domain 225.
4.1.9 Calculation of the Radar Cross Section 227 -- 4.1.10 Computer Programing and Numerical Examples 229 -- 4.2 Treatment for Special Problems 233 -- 4.2.1 Treatments for Thin Metallic Wires 233 -- 4.2.2 Treatments for Dispersive Media 235 -- 4.2.3 Treatments for Lumped Elements 237 -- 4.3 Comparison of the MoM, FEM and FDTD Methods 239 -- References 240 -- 5 Hybrid Methods 243 -- 5.1 Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methods 244 -- 5.1.1 Hybird Physical Optics Method and FEM 244 -- 5.1.2 Hybrid Physical Optics Method and Moment Method 248 -- 5.2 Hybrid Full-Wave Numerical Methods 251 -- 5.2.1 Hybrid FE-BI-MLFMA 252 -- 5.2.2 Hybrid Method Combining EFIE and MFIE 266 -- 5.2.3 Hybrid Method Combining FEM and Mode-Matching Method 271 -- References 276 -- Index 277.
Record Nr. UNINA-9910816920903321
Sheng Xin-Qing <1968->  
Hoboken, New Jersey : , : IEEE, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui