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Boundary conditions in electromagnetics / / Ismo V. Lindell and Ari Shivola
| Boundary conditions in electromagnetics / / Ismo V. Lindell and Ari Shivola |
| Autore | Lindell Ismo V. |
| Pubbl/distr/stampa | Hoboken : , : Wiley, , c2020 |
| Descrizione fisica | 1 online resource (275 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) | ShivolaAri |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Boundary value problems
Electromagnetism - Mathematics |
| ISBN |
1-119-63242-0
1-119-63240-4 1-119-63241-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Perfect Electromagnetic Conductor Boundary -- Impedance Boundary -- DB Boundary -- General Boundary Conditions -- Sesquilinear Boundary Conditions -- Scattering by Objects Defined by Boundary Conditions. |
| Record Nr. | UNINA-9910555087303321 |
Lindell Ismo V.
|
||
| Hoboken : , : Wiley, , c2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Boundary conditions in electromagnetics / / Ismo V. Lindell and Ari Shivola
| Boundary conditions in electromagnetics / / Ismo V. Lindell and Ari Shivola |
| Autore | Lindell Ismo V. |
| Pubbl/distr/stampa | Hoboken : , : Wiley, , c2020 |
| Descrizione fisica | 1 online resource (275 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) | ShivolaAri |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Boundary value problems
Electromagnetism - Mathematics |
| ISBN |
1-119-63242-0
1-119-63240-4 1-119-63241-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Perfect Electromagnetic Conductor Boundary -- Impedance Boundary -- DB Boundary -- General Boundary Conditions -- Sesquilinear Boundary Conditions -- Scattering by Objects Defined by Boundary Conditions. |
| Record Nr. | UNINA-9910830354703321 |
|
Lindell Ismo V.
|
||
| Hoboken : , : Wiley, , c2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential forms in electromagnetics / / Ismo V. Lindell
| Differential forms in electromagnetics / / Ismo V. Lindell |
| Autore | Lindell Ismo V. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Piscataway, New Jersey : , : IEEE Press, , c2004 |
| Descrizione fisica | 1 PDF ([xv], 253 pages) : illustrations |
| Disciplina | 537/.0151 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetism - Mathematics
Differential forms Electricity & Magnetism Physics Physical Sciences & Mathematics |
| Soggetto non controllato | Electrical and Electronics Engineering |
| ISBN |
1-280-55709-5
9786610557097 0-471-72308-8 0-471-72309-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Multivectors -- Dyadic algebra -- Differential forms -- Electromagnetic fields and sources -- Medium, boundary, and power conditions -- Theorems and transformations -- Electromagnetic waves. |
| Record Nr. | UNINA-9910146074703321 |
|
Lindell Ismo V.
|
||
| Piscataway, New Jersey : , : IEEE Press, , c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential forms in electromagnetics / / Ismo V. Lindell
| Differential forms in electromagnetics / / Ismo V. Lindell |
| Autore | Lindell Ismo V. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Piscataway, New Jersey : , : IEEE Press, , c2004 |
| Descrizione fisica | 1 PDF ([xv], 253 pages) : illustrations |
| Disciplina | 537/.0151 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetism - Mathematics
Differential forms Electricity & Magnetism Physics Physical Sciences & Mathematics |
| Soggetto non controllato | Electrical and Electronics Engineering |
| ISBN |
1-280-55709-5
9786610557097 0-471-72308-8 0-471-72309-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Multivectors -- Dyadic algebra -- Differential forms -- Electromagnetic fields and sources -- Medium, boundary, and power conditions -- Theorems and transformations -- Electromagnetic waves. |
| Record Nr. | UNISA-996211440503316 |
|
Lindell Ismo V.
|
||
| Piscataway, New Jersey : , : IEEE Press, , c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Differential forms in electromagnetics / / Ismo V. Lindell
| Differential forms in electromagnetics / / Ismo V. Lindell |
| Autore | Lindell Ismo V. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Piscataway, New Jersey : , : IEEE Press, , c2004 |
| Descrizione fisica | 1 PDF ([xv], 253 pages) : illustrations |
| Disciplina | 537/.0151 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetism - Mathematics
Differential forms Electricity & Magnetism Physics Physical Sciences & Mathematics |
| Soggetto non controllato | Electrical and Electronics Engineering |
| ISBN |
1-280-55709-5
9786610557097 0-471-72308-8 0-471-72309-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Multivectors -- Dyadic algebra -- Differential forms -- Electromagnetic fields and sources -- Medium, boundary, and power conditions -- Theorems and transformations -- Electromagnetic waves. |
| Record Nr. | UNINA-9910830760403321 |
|
Lindell Ismo V.
|
||
| Piscataway, New Jersey : , : IEEE Press, , c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiforms, dyadics, and electromagnetic media / / Ismo V. Lindell
| Multiforms, dyadics, and electromagnetic media / / Ismo V. Lindell |
| Autore | Lindell Ismo V. |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : IEEE Press/Wiley, [2015] |
| Descrizione fisica | 1 online resource (416 p.) |
| Disciplina | 537.01/515 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetism - Mathematics
Electromagnetism - Mathematical models |
| ISBN |
1-119-05239-4
1-119-05238-6 1-119-05240-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface xi -- 1 Multivectors and Multiforms 1 -- 1.1 Vectors and One-Forms, 1 -- 1.1.1 Bar Product | 1 -- 1.1.2 Basis Expansions 2 -- 1.2 Bivectors and Two-Forms, 3 -- 1.2.1 Wedge Product ∧ 3 -- 1.2.2 Basis Expansions 4 -- 1.2.3 Bar Product 5 -- 1.2.4 Contraction Products ⌋ and ⌊ 6 -- 1.2.5 Decomposition of Vectors and One-Forms 8 -- 1.3 Multivectors and Multiforms, 8 -- 1.3.1 Basis of Multivectors 9 -- 1.3.2 Bar Product of Multivectors and Multiforms 10 -- 1.3.3 Contraction of Trivectors and Three-Forms 11 -- 1.3.4 Contraction of Quadrivectors and Four-Forms 12 -- 1.3.5 Construction of Reciprocal Basis 13 -- 1.3.6 Contraction of Quintivector 14 -- 1.3.7 Generalized Bac-Cab Rules 14 -- 1.4 Some Properties of Bivectors and Two-Forms, 16 -- 1.4.1 Bivector Invariant 16 -- 1.4.2 Natural Dot Product 17 -- 1.4.3 Bivector as Mapping 17 -- Problems, 18 -- 2 Dyadics 21 -- 2.1 Mapping Vectors and One-Forms, 21 -- 2.1.1 Dyadics 21 -- 2.1.2 Double-Bar Product || 23 -- 2.1.3 Metric Dyadics 24 -- 2.2 Mapping Multivectors and Multiforms, 25 -- 2.2.1 Bidyadics 25 -- 2.2.2 Double-Wedge Product ∧∧ -- 2.2.3 Double-Wedge Powers 28 -- 2.2.4 Double Contractions ⌊⌊ and ⌋⌋ 30 -- 2.2.5 Natural Dot Product for Bidyadics 31 -- 2.3 Dyadic Identities, 32 -- 2.3.1 Contraction Identities 32 -- 2.3.2 Special Cases 33 -- 2.3.3 More General Rules 35 -- 2.3.4 Cayley / Hamilton Equation 36 -- 2.3.5 Inverse Dyadics 36 -- 2.4 Rank of Dyadics, 39 -- 2.5 Eigenproblems, 41 -- 2.5.1 Eigenvectors and Eigen One-Forms 41 -- 2.5.2 Reduced Cayley / Hamilton Equations 42 -- 2.5.3 Construction of Eigenvectors 43 -- 2.6 Metric Dyadics, 45 -- 2.6.1 Symmetric Dyadics 46 -- 2.6.2 Antisymmetric Dyadics 47 -- 2.6.3 Inverse Rules for Metric Dyadics 48 -- Problems, 49 -- 3 Bidyadics 53 -- 3.1 Cayley / Hamilton Equation, 54 -- 3.1.1 Coefficient Functions 55 -- 3.1.2 Determinant of a Bidyadic 57 -- 3.1.3 Antisymmetric Bidyadic 57 -- 3.2 Bidyadic Eigenproblem, 58 -- 3.2.1 Eigenbidyadic C- 60 -- 3.2.2 Eigenbidyadic C+ 60 -- 3.3 Hehl / Obukhov Decomposition, 61.
3.4 Example: Simple Antisymmetric Bidyadic, 64 -- 3.5 Inverse Rules for Bidyadics, 66 -- 3.5.1 Skewon Bidyadic 67 -- 3.5.2 Extended Bidyadics 70 -- 3.5.3 3D Expansions 73 -- Problems, 74 -- 4 Special Dyadics and Bidyadics 79 -- 4.1 Orthogonality Conditions, 79 -- 4.1.1 Orthogonality of Dyadics 79 -- 4.1.2 Orthogonality of Bidyadics 81 -- 4.2 Nilpotent Dyadics and Bidyadics, 81 -- 4.3 Projection Dyadics and Bidyadics, 83 -- 4.4 Unipotent Dyadics and Bidyadics, 85 -- 4.5 Almost-Complex Dyadics, 87 -- 4.5.1 Two-Dimensional AC Dyadics 89 -- 4.5.2 Four-Dimensional AC Dyadics 89 -- 4.6 Almost-Complex Bidyadics, 91 -- 4.7 Modified Closure Relation, 93 -- 4.7.1 Equivalent Conditions 94 -- 4.7.2 Solutions 94 -- 4.7.3 Testing the Two Solutions 96 -- Problems, 98 -- 5 Electromagnetic Fields 101 -- 5.1 Field Equations, 101 -- 5.1.1 Differentiation Operator 101 -- 5.1.2 Maxwell Equations 103 -- 5.1.3 Potential One-Form 105 -- 5.2 Medium Equations, 106 -- 5.2.1 Medium Bidyadics 106 -- 5.2.2 Potential Equation 107 -- 5.2.3 Expansions of Medium Bidyadics 107 -- 5.2.4 Gibbsian Representation 109 -- 5.3 Basic Classes of Media, 110 -- 5.3.1 Hehl / Obukhov Decomposition 110 -- 5.3.2 3D Expansions 112 -- 5.3.3 Simple Principal Medium 114 -- 5.4 Interfaces and Boundaries, 117 -- 5.4.1 Interface Conditions 117 -- 5.4.2 Boundary Conditions 119 -- 5.5 Power and Energy, 123 -- 5.5.1 Bilinear Invariants 123 -- 5.5.2 The Stress / Energy Dyadic 125 -- 5.5.3 Differentiation Rule 127 -- 5.6 Plane Waves, 128 -- 5.6.1 Basic Equations 128 -- 5.6.2 Dispersion Equation 130 -- 5.6.3 Special Cases 132 -- 5.6.4 Plane-Wave Fields 132 -- 5.6.5 Simple Principal Medium 134 -- 5.6.6 Handedness of Plane Wave 135 -- Problems, 136 -- 6 Transformation of Fields and Media 141 -- 6.1 Affine Transformation, 141 -- 6.1.1 Transformation of Fields 141 -- 6.1.2 Transformation of Media 142 -- 6.1.3 Dispersion Equation 144 -- 6.1.4 Simple Principal Medium 145 -- 6.2 Duality Transformation, 145 -- 6.2.1 Transformation of Fields 146. 6.2.2 Involutionary Duality Transformation 147 -- 6.2.3 Transformation of Media 149 -- 6.3 Transformation of Boundary Conditions, 150 -- 6.3.1 Simple Principal Medium 152 -- 6.3.2 Plane Wave 152 -- 6.4 Reciprocity Transformation, 153 -- 6.4.1 Medium Transformation 153 -- 6.4.2 Reciprocity Conditions 155 -- 6.4.3 Field Relations 157 -- 6.4.4 Time-Harmonic Fields 158 -- 6.5 Conformal Transformation, 159 -- 6.5.1 Properties of the Conformal Transformation 160 -- 6.5.2 Field Transformation 164 -- 6.5.3 Medium Transformation 165 -- Problems, 166 -- 7 Basic Classes of Electromagnetic Media 169 -- 7.1 Gibbsian Isotropy, 169 -- 7.1.1 Gibbsian Isotropic Medium 169 -- 7.1.2 Gibbsian Bi-isotropic Medium 170 -- 7.1.3 Decomposition of GBI Medium 171 -- 7.1.4 Affine Transformation 173 -- 7.1.5 Eigenfields in GBI Medium 174 -- 7.1.6 Plane Wave in GBI Medium 176 -- 7.2 The Axion Medium, 178 -- 7.2.1 Perfect Electromagnetic Conductor 179 -- 7.2.2 PEMC as Limiting Case of GBI Medium 180 -- 7.2.3 PEMC Boundary Problems 181 -- 7.3 Skewon / Axion Media, 182 -- 7.3.1 Plane Wave in Skewon / Axion Medium 184 -- 7.3.2 Gibbsian Representation 185 -- 7.3.3 Boundary Conditions 187 -- 7.4 Extended Skewon / Axion Media, 192 -- Problems, 194 -- 8 Quadratic Media 197 -- 8.1 P Media and Q Media, 197 -- 8.2 Transformations, 200 -- 8.3 Spatial Expansions, 201 -- 8.3.1 Spatial Expansion of Q Media 201 -- 8.3.2 Spatial Expansion of P Media 203 -- 8.3.3 Relation Between P Media and Q Media 204 -- 8.4 Plane Waves, 205 -- 8.4.1 Plane Waves in Q Media 205 -- 8.4.2 Plane Waves in P Media 207 -- 8.4.3 P Medium as Boundary Material 208 -- 8.5 P-Axion and Q-Axion Media, 209 -- 8.6 Extended Q Media, 211 -- 8.6.1 Gibbsian Representation 211 -- 8.6.2 Field Decomposition 214 -- 8.6.3 Transformations 215 -- 8.6.4 Plane Waves in Extended Q Media 215 -- 8.7 Extended P Media, 218 -- 8.7.1 Medium Conditions 218 -- 8.7.2 Plane Waves in Extended P Media 219 -- 8.7.3 Field Conditions 220 -- Problems, 221 -- 9 Media Defined by Bidyadic Equations 225. 9.1 Quadratic Equation, 226 -- 9.1.1 SD Media 227 -- 9.1.2 Eigenexpansions 228 -- 9.1.3 Duality Transformation 229 -- 9.1.4 3D Representations 231 -- 9.1.5 SDN Media 234 -- 9.2 Cubic Equation, 235 -- 9.2.1 CU Media 235 -- 9.2.2 Eigenexpansions 236 -- 9.2.3 Examples of CU Media 238 -- 9.3 Bi-Quadratic Equation, 240 -- 9.3.1 BQ Media 241 -- 9.3.2 Eigenexpansions 242 -- 9.3.3 3D Representation 244 -- 9.3.4 Special Case 245 -- Problems, 246 -- 10 Media Defined by Plane-Wave Properties 249 -- 10.1 Media with No Dispersion Equation (NDE Media), 249 -- 10.1.1 Two Cases of Solutions 250 -- 10.1.2 Plane-Wave Fields in NDE Media 255 -- 10.1.3 Other Possible NDE Media 257 -- 10.2 Decomposable Media, 259 -- 10.2.1 Special Cases 259 -- 10.2.2 DC-Medium Subclasses 263 -- 10.2.3 Plane-Wave Properties 267 -- Problems, 269 -- Appendix A Solutions to Problems 273 -- Appendix B Transformation to Gibbsian Formalism 369 -- Appendix C Multivector and Dyadic Identities 375 -- References 389 -- Index 395. |
| Record Nr. | UNINA-9910132448803321 |
|
Lindell Ismo V.
|
||
| Hoboken, New Jersey : , : IEEE Press/Wiley, [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiforms, dyadics, and electromagnetic media / / Ismo V. Lindell
| Multiforms, dyadics, and electromagnetic media / / Ismo V. Lindell |
| Autore | Lindell Ismo V. |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : IEEE Press/Wiley, [2015] |
| Descrizione fisica | 1 online resource (416 p.) |
| Disciplina | 537.01/515 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetism - Mathematics
Electromagnetism - Mathematical models |
| ISBN |
1-119-05239-4
1-119-05238-6 1-119-05240-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface xi -- 1 Multivectors and Multiforms 1 -- 1.1 Vectors and One-Forms, 1 -- 1.1.1 Bar Product | 1 -- 1.1.2 Basis Expansions 2 -- 1.2 Bivectors and Two-Forms, 3 -- 1.2.1 Wedge Product ∧ 3 -- 1.2.2 Basis Expansions 4 -- 1.2.3 Bar Product 5 -- 1.2.4 Contraction Products ⌋ and ⌊ 6 -- 1.2.5 Decomposition of Vectors and One-Forms 8 -- 1.3 Multivectors and Multiforms, 8 -- 1.3.1 Basis of Multivectors 9 -- 1.3.2 Bar Product of Multivectors and Multiforms 10 -- 1.3.3 Contraction of Trivectors and Three-Forms 11 -- 1.3.4 Contraction of Quadrivectors and Four-Forms 12 -- 1.3.5 Construction of Reciprocal Basis 13 -- 1.3.6 Contraction of Quintivector 14 -- 1.3.7 Generalized Bac-Cab Rules 14 -- 1.4 Some Properties of Bivectors and Two-Forms, 16 -- 1.4.1 Bivector Invariant 16 -- 1.4.2 Natural Dot Product 17 -- 1.4.3 Bivector as Mapping 17 -- Problems, 18 -- 2 Dyadics 21 -- 2.1 Mapping Vectors and One-Forms, 21 -- 2.1.1 Dyadics 21 -- 2.1.2 Double-Bar Product || 23 -- 2.1.3 Metric Dyadics 24 -- 2.2 Mapping Multivectors and Multiforms, 25 -- 2.2.1 Bidyadics 25 -- 2.2.2 Double-Wedge Product ∧∧ -- 2.2.3 Double-Wedge Powers 28 -- 2.2.4 Double Contractions ⌊⌊ and ⌋⌋ 30 -- 2.2.5 Natural Dot Product for Bidyadics 31 -- 2.3 Dyadic Identities, 32 -- 2.3.1 Contraction Identities 32 -- 2.3.2 Special Cases 33 -- 2.3.3 More General Rules 35 -- 2.3.4 Cayley / Hamilton Equation 36 -- 2.3.5 Inverse Dyadics 36 -- 2.4 Rank of Dyadics, 39 -- 2.5 Eigenproblems, 41 -- 2.5.1 Eigenvectors and Eigen One-Forms 41 -- 2.5.2 Reduced Cayley / Hamilton Equations 42 -- 2.5.3 Construction of Eigenvectors 43 -- 2.6 Metric Dyadics, 45 -- 2.6.1 Symmetric Dyadics 46 -- 2.6.2 Antisymmetric Dyadics 47 -- 2.6.3 Inverse Rules for Metric Dyadics 48 -- Problems, 49 -- 3 Bidyadics 53 -- 3.1 Cayley / Hamilton Equation, 54 -- 3.1.1 Coefficient Functions 55 -- 3.1.2 Determinant of a Bidyadic 57 -- 3.1.3 Antisymmetric Bidyadic 57 -- 3.2 Bidyadic Eigenproblem, 58 -- 3.2.1 Eigenbidyadic C- 60 -- 3.2.2 Eigenbidyadic C+ 60 -- 3.3 Hehl / Obukhov Decomposition, 61.
3.4 Example: Simple Antisymmetric Bidyadic, 64 -- 3.5 Inverse Rules for Bidyadics, 66 -- 3.5.1 Skewon Bidyadic 67 -- 3.5.2 Extended Bidyadics 70 -- 3.5.3 3D Expansions 73 -- Problems, 74 -- 4 Special Dyadics and Bidyadics 79 -- 4.1 Orthogonality Conditions, 79 -- 4.1.1 Orthogonality of Dyadics 79 -- 4.1.2 Orthogonality of Bidyadics 81 -- 4.2 Nilpotent Dyadics and Bidyadics, 81 -- 4.3 Projection Dyadics and Bidyadics, 83 -- 4.4 Unipotent Dyadics and Bidyadics, 85 -- 4.5 Almost-Complex Dyadics, 87 -- 4.5.1 Two-Dimensional AC Dyadics 89 -- 4.5.2 Four-Dimensional AC Dyadics 89 -- 4.6 Almost-Complex Bidyadics, 91 -- 4.7 Modified Closure Relation, 93 -- 4.7.1 Equivalent Conditions 94 -- 4.7.2 Solutions 94 -- 4.7.3 Testing the Two Solutions 96 -- Problems, 98 -- 5 Electromagnetic Fields 101 -- 5.1 Field Equations, 101 -- 5.1.1 Differentiation Operator 101 -- 5.1.2 Maxwell Equations 103 -- 5.1.3 Potential One-Form 105 -- 5.2 Medium Equations, 106 -- 5.2.1 Medium Bidyadics 106 -- 5.2.2 Potential Equation 107 -- 5.2.3 Expansions of Medium Bidyadics 107 -- 5.2.4 Gibbsian Representation 109 -- 5.3 Basic Classes of Media, 110 -- 5.3.1 Hehl / Obukhov Decomposition 110 -- 5.3.2 3D Expansions 112 -- 5.3.3 Simple Principal Medium 114 -- 5.4 Interfaces and Boundaries, 117 -- 5.4.1 Interface Conditions 117 -- 5.4.2 Boundary Conditions 119 -- 5.5 Power and Energy, 123 -- 5.5.1 Bilinear Invariants 123 -- 5.5.2 The Stress / Energy Dyadic 125 -- 5.5.3 Differentiation Rule 127 -- 5.6 Plane Waves, 128 -- 5.6.1 Basic Equations 128 -- 5.6.2 Dispersion Equation 130 -- 5.6.3 Special Cases 132 -- 5.6.4 Plane-Wave Fields 132 -- 5.6.5 Simple Principal Medium 134 -- 5.6.6 Handedness of Plane Wave 135 -- Problems, 136 -- 6 Transformation of Fields and Media 141 -- 6.1 Affine Transformation, 141 -- 6.1.1 Transformation of Fields 141 -- 6.1.2 Transformation of Media 142 -- 6.1.3 Dispersion Equation 144 -- 6.1.4 Simple Principal Medium 145 -- 6.2 Duality Transformation, 145 -- 6.2.1 Transformation of Fields 146. 6.2.2 Involutionary Duality Transformation 147 -- 6.2.3 Transformation of Media 149 -- 6.3 Transformation of Boundary Conditions, 150 -- 6.3.1 Simple Principal Medium 152 -- 6.3.2 Plane Wave 152 -- 6.4 Reciprocity Transformation, 153 -- 6.4.1 Medium Transformation 153 -- 6.4.2 Reciprocity Conditions 155 -- 6.4.3 Field Relations 157 -- 6.4.4 Time-Harmonic Fields 158 -- 6.5 Conformal Transformation, 159 -- 6.5.1 Properties of the Conformal Transformation 160 -- 6.5.2 Field Transformation 164 -- 6.5.3 Medium Transformation 165 -- Problems, 166 -- 7 Basic Classes of Electromagnetic Media 169 -- 7.1 Gibbsian Isotropy, 169 -- 7.1.1 Gibbsian Isotropic Medium 169 -- 7.1.2 Gibbsian Bi-isotropic Medium 170 -- 7.1.3 Decomposition of GBI Medium 171 -- 7.1.4 Affine Transformation 173 -- 7.1.5 Eigenfields in GBI Medium 174 -- 7.1.6 Plane Wave in GBI Medium 176 -- 7.2 The Axion Medium, 178 -- 7.2.1 Perfect Electromagnetic Conductor 179 -- 7.2.2 PEMC as Limiting Case of GBI Medium 180 -- 7.2.3 PEMC Boundary Problems 181 -- 7.3 Skewon / Axion Media, 182 -- 7.3.1 Plane Wave in Skewon / Axion Medium 184 -- 7.3.2 Gibbsian Representation 185 -- 7.3.3 Boundary Conditions 187 -- 7.4 Extended Skewon / Axion Media, 192 -- Problems, 194 -- 8 Quadratic Media 197 -- 8.1 P Media and Q Media, 197 -- 8.2 Transformations, 200 -- 8.3 Spatial Expansions, 201 -- 8.3.1 Spatial Expansion of Q Media 201 -- 8.3.2 Spatial Expansion of P Media 203 -- 8.3.3 Relation Between P Media and Q Media 204 -- 8.4 Plane Waves, 205 -- 8.4.1 Plane Waves in Q Media 205 -- 8.4.2 Plane Waves in P Media 207 -- 8.4.3 P Medium as Boundary Material 208 -- 8.5 P-Axion and Q-Axion Media, 209 -- 8.6 Extended Q Media, 211 -- 8.6.1 Gibbsian Representation 211 -- 8.6.2 Field Decomposition 214 -- 8.6.3 Transformations 215 -- 8.6.4 Plane Waves in Extended Q Media 215 -- 8.7 Extended P Media, 218 -- 8.7.1 Medium Conditions 218 -- 8.7.2 Plane Waves in Extended P Media 219 -- 8.7.3 Field Conditions 220 -- Problems, 221 -- 9 Media Defined by Bidyadic Equations 225. 9.1 Quadratic Equation, 226 -- 9.1.1 SD Media 227 -- 9.1.2 Eigenexpansions 228 -- 9.1.3 Duality Transformation 229 -- 9.1.4 3D Representations 231 -- 9.1.5 SDN Media 234 -- 9.2 Cubic Equation, 235 -- 9.2.1 CU Media 235 -- 9.2.2 Eigenexpansions 236 -- 9.2.3 Examples of CU Media 238 -- 9.3 Bi-Quadratic Equation, 240 -- 9.3.1 BQ Media 241 -- 9.3.2 Eigenexpansions 242 -- 9.3.3 3D Representation 244 -- 9.3.4 Special Case 245 -- Problems, 246 -- 10 Media Defined by Plane-Wave Properties 249 -- 10.1 Media with No Dispersion Equation (NDE Media), 249 -- 10.1.1 Two Cases of Solutions 250 -- 10.1.2 Plane-Wave Fields in NDE Media 255 -- 10.1.3 Other Possible NDE Media 257 -- 10.2 Decomposable Media, 259 -- 10.2.1 Special Cases 259 -- 10.2.2 DC-Medium Subclasses 263 -- 10.2.3 Plane-Wave Properties 267 -- Problems, 269 -- Appendix A Solutions to Problems 273 -- Appendix B Transformation to Gibbsian Formalism 369 -- Appendix C Multivector and Dyadic Identities 375 -- References 389 -- Index 395. |
| Record Nr. | UNINA-9910813439503321 |
|
Lindell Ismo V.
|
||
| Hoboken, New Jersey : , : IEEE Press/Wiley, [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||