Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Lindell, Ismo V.
Titre(s) : Multiforms, dyadics, and electromagnetic media [Texte électronique] / Ismo V. Lindell
Publication : Hoboken, New Jersey : IEEE Press/Wiley, [2015]
Description matérielle : 1 online resource
Collection : IEEE Press Series on Electromagnetic Wave Theory
Note(s) : Includes bibliographical references and index. - Print version record and CIP data provided by publisher.
Internationally recognized authority on Differential Forms, Ismo V. Lindell, presents
the tools for analyzing electromagnetic problems with special attention on electromagnetic
media. The tools are applicable in basic studies of metamaterials and metasurfaces.
This book deals with electromagnetic equations in terms of differential forms and
exterior calculus (multivectors, multiforms and dyadics), allowing a coordinate-free
way of doing analytic work. Also, applying four-dimensional formalism equations and
expressions can be handled in a more compact form than through the conventional three-dimensional
formalism. The content focuses on electromagnetic media by defining medium classes
in several different ways and analyzing wave propagation in them. This book also deals
with generation of boundary surfaces in terms of special medium interfaces. The introductory
material on various types of dyadics is extended to include an appendix of operational
rules ready for application. . Presents the tools for analyzing electromagnetic problems
with special attention on electromagnetic media . Includes solutions to end of chapter
problems within the appendix . Written by an internationally recognized expert on
Differential Forms Multiforms, Dyadics and Electromagnetic Media is mainly focused
on applying the formalism to the analysis of electromagnetic media as inspired by
the ongoing engineering interest in constructing novel metamaterials and metaboundaries.
Ismo V. Lindell is a Professor Emeritus in the Department of Radio Science and Engineering,
in the School of Electrical Engineering at the Aalto University, Finland. Dr. Lindell
has received many honors in the course of his career, including his recognition as
an IEEE Fellow in 1990 for his contributions to electromagnetic theory and for the
development of education in electromagnetics in Finland. Dr. Lindell has authored
or co-authored 3 books in English, authored or co-authored 10 books in Finnish, and
published several hundred articles in professional journals, conference proceedings,
and contributed chapters to other books
Sujet(s) : Électromagnétisme -- Mathématiques
Électromagnétisme -- Modèles mathématiques
Identifiants, prix et caractéristiques : ISBN 9781119052388
Identifiant de la notice : ark:/12148/cb446560774
Notice n° :
FRBNF44656077
(notice reprise d'un réservoir extérieur)
Table des matières : 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 Poten
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
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.
