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Electromagnetic Field Computation by Network Methods 2009 ed. [Kietas viršelis]

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  • Formatas: Hardback, 214 pages, aukštis x plotis: 235x155 mm, weight: 1110 g, 58 Illustrations, black and white; XIV, 214 p. 58 illus., 1 Hardback
  • Išleidimo metai: 20-Mar-2009
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540939458
  • ISBN-13: 9783540939450
Kitos knygos pagal šią temą:
Electromagnetic Field Computation by Network Methods 2009 ed.Didesnis paveikslėlis
  • Formatas: Hardback, 214 pages, aukštis x plotis: 235x155 mm, weight: 1110 g, 58 Illustrations, black and white; XIV, 214 p. 58 illus., 1 Hardback
  • Išleidimo metai: 20-Mar-2009
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540939458
  • ISBN-13: 9783540939450
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9783540939450.html
Raktažodžiai:

In this monograph, the authors propose a systematic and rigorous treatment of electromagnetic field representations in complex structures. The architecture suggested in this book accommodates use of different numerical methods as well as alternative Green's function representations in each of the subdomains resulting from a partitioning of the overall problem. The subdomains are regions of space where electromagnetic energy is stored and are described in terms of equivalent circuit representations based either on lumped element circuits or on transmission lines. Connection networks connect the subcircuits representing the subdomains. The connection networks are lossless, don't store energy and represent the overall problem topology. This is similar to what is done in circuit theory and permits a phrasing of the solution of EM field problems in complex structures by Network-oriented methods.



This monograph proposes a systematic and rigorous treatment of electromagnetic field representations in complex structures. The book presents new strong models by combining important computational methods. This is the last book of the late Leopold Felsen.

1 Introduction 1
I Motivation
1
II The Architecture
3
II.1 Problem Partitioning
3
II.2 Network Representations
4
II.3 Methodological Hybridization
5
III Organization of the Book
6
References
9
2 Representations of Electromagnetic Fields 13
I Introduction
13
II Maxwell's Equations
14
II.1 Maxwell's Equations in Time—Dependent Form
14
II.2 Maxwell's Equations in the Frequency Domain
17
II.3 Maxwell's Equations in the S-Domain
18
II.4 Constitutive Relations
18
II.5 Boundary Conditions
20
III Theorems and Concepts for Electromagnetic Field Computation
21
III.1 Energy and Power
22
III.2 Field Theoretic Formulation of Tellegen's Theorem
26
III.3 Uniqueness Theorem
27
III.4 Equivalence Theorem
28
IV Field Potentials
32
V Separation of Variables: The Scalar Wave Equation
35
V.1 The Scalar Wave Equation in Cartesian Coordinates
37
V.2 The Scalar Wave Equation in Spherical and Polar Coordinates
40
V.3 The Scalar Wave Equation in Cylindrical Polar Coordinates
41
VI Sturm—Liouville Problems
43
VI.1 Source—Free Solutions: Eigenvalue Problem
43
VI.2 Source-Driven Solutions: Green's Function Problem
49
VI.3 Relation Between the Spectral (Characteristic) Green's Function and the Eigenvalue Problems
54
VII Radiation and Edge Condition
56
VII.1 Radiation Condition
56
VII.2 Edge Condition in Two Dimensions
58
VIII Reciprocity and Field Equivalence Principles
59
VIII.1 Reaction in Electromagnetic Theory
59
VIII.2 Lorentz Reciprocity Theorem
60
References
67
3 Wave–Guiding Configurations 69
I Introduction
69
II The Transverse Field Equations
70
II.1 Source—Free Case
70
II.2 Source—Excited Case
72
III TE and TM Potentials
74
IV Modal Representations of the Fields and Their Sources
77
V Scalarization and Modal Representation of Dyadic Green's Functions in Uniform Regions
80
V.1 Mode Functions
81
VI Fields in Source-Free, Homogeneous Regions
82
VII Green's Functions for the Transmission-Line Equations
83
VIII Modal Representations of the Dyadic Green's Functions in a Piecewise Homogeneous Medium
85
IX Modal Representations of the Dyadic Green's Functions in an Inhomogeneous Medium
91
X Network—Oriented Formulation of the Characteristic Green's Functions
93
X.1 Alternative Representations
99
XI 1D Characteristic Green's Function and Eigenfunction
104
References
123
4 Two–Dimensional Problems 125
I Introduction
125
II Electric Line Source in a PEC Parallel Plate Waveguide
125
II.1 Constituent One—Dimensional Problems: x-Domain
126
II.2 Problems in the z-Domain
131
II.3 Two-Dimensional Waveguide:(Finite x)-(Bilaterally Infinite z)-Domain
141
III Electric Line Source in Radial-Angular Waveguides
150
III.1 Introduction t
t150
III.2 Constituent 1D Problems
151
III.3 Eigenvalue Problem in the p-Domain
152
III.4 Spectral Green's function problem in the p-domain
153
III.5 Two-Dimensional Green's Functions: Alternative Representations
153
References
155
5 Network Representation of Electromagnetic Fields 157
I Introduction
157
II Method of Moments
159
II.1 Expansion Set
161
III Regions of Zero Volume: the Connection Network
164
III.1 The Connection Network
164
III.2 Tellegen's Theorem for Discretized Fields
166
III.3 Testing of the Field Continuity Equations
166
III.4 Independent Quantities
167
III.5 Tellegen's Theorem and its Implications
168
III.6 Application to Orthonormal Bases
168
III.7 Canonical Forms of the Connection Network
169
IV Network Representations for Regions of Finite Volume
171
IV.1 Foster Representation of the Transmission Line Resonator
172
IV.2 Green's Function and Multiport Foster Representation
176
IV.3 The Canonical Foster Representation of Distributed Circuits
178
V Regions Extending to Infinity: Radiation Problems
180
V.1 The Caner Canonic Representation of Radiation Modes
183
V.2 The Complete Equivalent Circuit of Radiating Electromagnetic Structures
185
VI Solving the Entire Field Problem via Tableau Equations
186
VI.1 Primary and Secondary Fields
186
VI.2 Choice of Primary and Secondary Fields for a Subregion
189
VI.3 A Constraint on the Choice of Primary and Secondary Fields
189
VI.4 Topological Relationships: Operator Form
190
VI.5 The Tableau Equations for Fields: Operator Form
191
VI.6 Solving the Entire Field Problem via Tableau Equations: Discretized Form
191
VI.7 Field Discretization
192
VI.8 The Tableau Equations for Discretized Fields
195
References
197
Appendix 199
Index 209