Optimization methods in electromagnetic radiation:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2004
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 319 - 325 |
| Physical Description: | XIII, 331 S. graph. Darst. : 24 cm |
| ISBN: | 0387204504 |
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| 245 | 1 | 0 | |a Optimization methods in electromagnetic radiation |c Thomas S. Angell ; Andreas Kirsch |
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Record in the Search Index
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| adam_text | THOMAS S. ANGELL ANDREAS KIRSCH OPTIMIZATION METHODS IN ELECTROMAGNETIC
RADIATION WITH 78 ILLUSTRATIONS SPRINGER CONTENTS PREFACE IX 1 ARRAYS OF
POINT AND LINE SOURCES, AND OPTIMIZATION 1 1.1 THE PROBLEM OF ANTENNA
OPTIMIZATION 1 1.2 ARRAYS OF POINT SOURCES 2 1.2.1 THE LINEAR ARRAY 3
1.2.2 CIRCULAR ARRAYS 10 1.3 MAXIMIZATION OF DIRECTIVITY AND SUPER-GAIN
15 1.3.1 DIRECTIVITY AND OTHER MEASURES OF PERFORMANCE 15 1.3.2
MAXIMIZATION OF DIRECTIVITY 19 1.4 DOLPH-TSCHEBYSHEFF ARRAYS 21 1.4.1
TSCHEBYSHEFF POLYNOMIALS 22 1.4.2 THE DOLPH PROBLEM 24 1.5 LINE SOURCES
26 1.5.1 THE LINEAR LINE SOURCE 30 1.5.2 THE CIRCULAR LINE SOURCE 36
1.5.3 NUMERICAL QUADRATURE 43 1.6 CONCLUSION 47 2 DISCUSSION OF
MAXWELL S EQUATIONS 49 2.1 INTRODUCTION 49 2.2 GEOMETRY OF THE RADIATING
STRUCTURE 49 2.3 MAXWELL S EQUATIONS IN INTEGRAL FORM 50 2.4 THE
CONSTITUTIVE RELATIONS . . . 51 2.5 MAXWELL S EQUATIONS IN DIFFERENTIAL
FORM 52 2.6 ENERGY FLOW AND THE POYNTING VECTOR 55 2.7 TIME HARMONIC
FIELDS 56 2.8 VECTOR POTENTIALS 58 2.9 RADIATION CONDITION, FAR FIELD
PATTERN 60 2.10 RADIATING DIPOLES AND LINE SOURCES 63 2.11 BOUNDARY
CONDITIONS ON INTERFACES 68 VI CONTENTS 2.12 HERTZ POTENTIALS AND
CLASSES OF SOLUTIONS 70 2.13 RADIATION PROBLEMS IN TWO DIMENSIONS 73 3
OPTIMIZATION THEORY FOR ANTENNAS 77 3.1 INTRODUCTORY REMARKS 77 3.2 THE
GENERAL OPTIMIZATION PROBLEM 80 3.2.1 EXISTENCE AND UNIQUENESS 81 3.2.2
THE MODELING OF CONSTRAINTS 84 3.2.3 EXTREME POINTS AND OPTIMAL
SOLUTIONS 88 3.2.4 THE LAGRANGE MULTIPLIER RULE 93 3.2.5 METHODS OF
FINITE DIMENSIONAL APPROXIMATION 96 3.3 FAR FIELD PATTERNS AND FAR FIELD
OPERATORS 101 3.4 MEASURES OF ANTENNA PERFORMANCE 103 4 THE SYNTHESIS
PROBLEM 113 4.1 INTRODUCTORY REMARKS 113 4.2 REMARKS ON ILL-POSED
PROBLEMS 115 4.3 REGULARIZATION BY CONSTRAINTS 121 4.4 THE TIKHONOV
REGULARIZATION 127 4.5 THE SYNTHESIS PROBLEM FOR THE FINITE LINEAR LINE
SOURCE 133 4.5.1 BASIC EQUATIONS 134 4.5.2 THE NYSTROM METHOD 135 4.5.3
NUMERICAL SOLUTION OF THE NORMAL EQUATIONS 137 4.5.4 APPLICATIONS OF THE
REGULARIZATION TECHNIQUES 138 5 BOUNDARY VALUE PROBLEMS FOR THE
TWO-DIMENSIONAL HELMHOLTZ EQUATION 145 5.1 INTRODUCTION AND FORMULATION
OF THE PROBLEMS 145 5.2 RELLICH S LEMMA AND UNIQUENESS 148 5.3 EXISTENCE
BY THE BOUNDARY INTEGRAL EQUATION METHOD 151 5.4 L 2 -BOUNDARY DATA 157
5.5 NUMERICAL METHODS 163 5.5.1 NYSTROM S METHOD FOR PERIODIC WEAKLY
SINGULAR KERNELS 164 5.5.2 COMPLETE FAMILIES OF SOLUTIONS 168 5.5.3
FINITE ELEMENT METHODS FOR ABSORBING BOUNDARY CONDITIONS 174 5.5.4
HYBRID METHODS 181 6 BOUNDARY VALUE PROBLEMS FOR MAXWELL S EQUATIONS 185
6.1 INTRODUCTION AND FORMULATION OF THE PROBLEM 185 6.2 UNIQUENESS AND
EXISTENCE 188 6.3 L 2 -BOUNDARY DATA 193 CONTENTS VII SOME PARTICULAR
OPTIMIZATION PROBLEMS 195 7.1 GENERAL ASSUMPTIONS 195 7.2 MAXIMIZATION
OF POWER 197 7.2.1 INPUT POWER CONSTRAINTS 198 7.2.2 POINTWISE
CONSTRAINTS ON INPUTS 202 7.2.3 NUMERICAL SIMULATIONS 204 7.3 THE
NULL-PLACEMENT PROBLEM 211 7.3.1 MAXIMIZATION OF POWER WITH PRESCRIBED
NULLS 213 7.3.2 A PARTICULAR EXAMPLE - THE LINE SOURCE 216 7.3.3
POINTWISE CONSTRAINTS 219 7.3.4 MINIMIZATION OF PATTERN PERTURBATION 221
7.4 THE OPTIMIZATION OF SIGNAL-TO-NOISE RATIO AND DIRECTIVITY .... 226
7.4.1 THE EXISTENCE OF OPTIMAL SOLUTIONS 227 7.4.2 NECESSARY CONDITIONS
228 7.4.3 THE FINITE DIMENSIONAL PROBLEMS 231 CONFLICTING OBJECTIVES:
THE VECTOR OPTIMIZATION PROBLEM . 239 8.1 INTRODUCTION 239 8.2 GENERAL
MULTI-CRITERIA OPTIMIZATION PROBLEMS 240 8.2.1 MINIMAL ELEMENTS AND
PARETO POINTS 241 8.2.2 THE LAGRANGE MULTIPLIER RULE 247 8.2.3
SCALARIZATION 249 8.3 THE MULTI-CRITERIA DOLPH PROBLEM FOR ARRAYS 250
8.3.1 THE WEAK DOLPH PROBLEM 251 8.3.2 TWO MULTI-CRITERIA VERSIONS 253
8.4 NULL PLACEMENT PROBLEMS AND SUPER-GAIN 262 8.4.1 MINIMAL PATTERN
DEVIATION 264 8.4.2 POWER AND SUPER-GAIN 270 8.5 THE SIGNAL-TO-NOISE
RATIO PROBLEM 278 8.5.1 FORMULATION OF THE PROBLEM AND EXISTENCE OF
PARETO POINTS 278 8.5.2 THE LAGRANGE MULTIPLIER RULE 280 8.5.3 AN
EXAMPLE 282 APPENDIX 285 A.I INTRODUCTION 285 A.2 BASIC NOTIONS AND
EXAMPLES 286 A.3 THE LEBESGUE INTEGRAL AND FUNCTION SPACES 292 A.3.1 THE
LEBESGUE INTEGRAL 292 A.3.2 SOBOLEV SPACES 295 A.4 ORTHONORMAL SYSTEMS
298 A.5 LINEAR BOUNDED AND COMPACT OPERATORS 300 A.6 THE HAHN-BANACH
THEOREM 307 A.7 THE FRECHET DERIVATIVE 310 A.8 WEAK CONVERGENCE 312 VIII
CONTENTS A.9 PARTIAL ORDERINGS 315 REFERENCES 319 INDEX 327
|
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| author | Angell, Thomas S. Kirsch, Andreas |
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| indexdate | 2024-07-09T19:20:03Z |
| institution | BVB |
| isbn | 0387204504 |
| language | English |
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| physical | XIII, 331 S. graph. Darst. : 24 cm |
| publishDate | 2004 |
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| spelling | Angell, Thomas S. Verfasser aut Optimization methods in electromagnetic radiation Thomas S. Angell ; Andreas Kirsch New York [u.a.] Springer 2004 XIII, 331 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturverz. S. 319 - 325 Antennas (Electronics) Design and construction Mathematical optimization Maxwell equations Numerical solutions Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Antenne (DE-588)4002210-9 gnd rswk-swf Antenne (DE-588)4002210-9 s Elektromagnetisches Feld (DE-588)4014305-3 s Optimierung (DE-588)4043664-0 s DE-604 Kirsch, Andreas Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010601695&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Angell, Thomas S. Kirsch, Andreas Optimization methods in electromagnetic radiation Antennas (Electronics) Design and construction Mathematical optimization Maxwell equations Numerical solutions Elektromagnetisches Feld (DE-588)4014305-3 gnd Optimierung (DE-588)4043664-0 gnd Antenne (DE-588)4002210-9 gnd |
| subject_GND | (DE-588)4014305-3 (DE-588)4043664-0 (DE-588)4002210-9 |
| title | Optimization methods in electromagnetic radiation |
| title_auth | Optimization methods in electromagnetic radiation |
| title_exact_search | Optimization methods in electromagnetic radiation |
| title_full | Optimization methods in electromagnetic radiation Thomas S. Angell ; Andreas Kirsch |
| title_fullStr | Optimization methods in electromagnetic radiation Thomas S. Angell ; Andreas Kirsch |
| title_full_unstemmed | Optimization methods in electromagnetic radiation Thomas S. Angell ; Andreas Kirsch |
| title_short | Optimization methods in electromagnetic radiation |
| title_sort | optimization methods in electromagnetic radiation |
| topic | Antennas (Electronics) Design and construction Mathematical optimization Maxwell equations Numerical solutions Elektromagnetisches Feld (DE-588)4014305-3 gnd Optimierung (DE-588)4043664-0 gnd Antenne (DE-588)4002210-9 gnd |
| topic_facet | Antennas (Electronics) Design and construction Mathematical optimization Maxwell equations Numerical solutions Elektromagnetisches Feld Optimierung Antenne |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010601695&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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