Electromagnetics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
CRC Press
2009
|
| Edition: | 2. ed. |
| Series: | Electrical engineering textbook series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 655 - 666 |
| Physical Description: | XIII, 687 S. graph. Darst. |
| ISBN: | 9781420064476 |
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Record in the Search Index
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| adam_text | ELECTROMAGNETICS SECOND EDITION EDWARD J. ROTHWELL MICHAEL J. CLOUD R R
OEC) CRC PRESS ^V TAYLORS.FRANCIS CROUP BOCA RATON LONDON NEW YORK CRC
PRESS IS AN IMPRINT OF THE TAYLOR & FRANCIS CROUP, AN INFORMA BUSINESS
CONTENTS PREFACE XI AUTHORS XIII 1 INTRODUCTORY CONCEPTS 1 1.1 NOTATION,
CONVENTIONS, AND SYMBOLOGY 1 1.2 THE FIELD CONCEPT OF ELECTROMAGNETICS 2
1.2.1 HISTORICAL PERSPECTIVE 2 1.2.2 FORMALIZATION OF FIELD THEORY 4 1.3
THE SOURCES OF THE ELECTROMAGNETIC FIELD 5 1.3.1 MACROSCOPIC
ELECTROMAGNETICS 6 1.3.2 IMPRESSED VS. SECONDARY SOURCES 9 1.3.3 SURFACE
AND LINE SOURCE DENSITIES 10 1.3.4 CHARGE CONSERVATION 12 1.3.5 MAGNETIC
CHARGE 17 1.4 PROBLEMS 18 2 MAXWELL S THEORY OF ELECTROMAGNETISM 19 2.1
THE POSTULATE 19 2.1.1 THE MAXWELL-MINKOWSKI EQUATIONS 20 2.1.2
CONNECTION TO MECHANICS 23 2.2 THE WELL-POSED NATURE OF THE POSTULATE 23
2.2.1 UNIQUENESS OF SOLUTIONS TO MAXWELL S EQUATIONS 25 2.2.2
CONSTITUTIVE RELATIONS 27 2.3 MAXWELL S EQUATIONS IN MOVING FRAMES 34
2.3.1 FIELD CONVERSIONS UNDER GALILEAN TRANSFORMATION 35 2.3.2 FIELD
CONVERSIONS UNDER LORENTZ TRANSFORMATION 38 2.4 THE MAXWELL-BOFFI
EQUATIONS 44 2.5 LARGE-SCALE FORM OF MAXWELL S EQUATIONS 48 2.5.1
SURFACE MOVING WITH CONSTANT VELOCITY 48 2.5.2 MOVING, DEFORMING
SURFACES 55 2.5.3 LARGE-SCALE FORM OF THE BOFFI EQUATIONS 56 2.6 THE
NATURE OF THE FOUR FIELD QUANTITIES 57 2.7 MAXWELL S EQUATIONS WITH
MAGNETIC SOURCES 59 2.8 BOUNDARY (JUMP) CONDITIONS 61 2.8.1 BOUNDARY
CONDITIONS ACROSS A STATIONARY, THIN SOURCE LAYER . . . . 61 2.8.2
BOUNDARY CONDITIONS ACROSS A STATIONARY LAYER OF FIELD DISCONTINU- ITY
63 2.8.3 BOUNDARY CONDITIONS AT THE SURFACE OF A PERFECT CONDUCTOR . . .
. 67 2.8.4 BOUNDARY CONDITIONS ACROSS A STATIONARY LAYER OF FIELD
DISCONTINU- ITY USING EQUIVALENT SOURCES 67 V VI ELECTROMAGNETICS 2.8.5
BOUNDARY CONDITIONS ACROSS A MOVING LAYER OF FIELD DISCONTINUITY . 68
2.9 FUNDAMENTAL THEOREMS 69 2.9.1 LINEARITY 69 2.9.2 DUALITY 70 2.9.3
RECIPROCITY 73 2.9.4 SIMILITUDE 75 2.9.5 CONSERVATION THEOREMS 76 2.10
THE WAVE NATURE OF THE ELECTROMAGNETIC FIELD 88 2.10.1 ELECTROMAGNETIC
WAVES 88 2.10.2 WAVE EQUATION FOR BIANISOTROPIC MATERIALS 89 2.10.3 WAVE
EQUATION IN A CONDUCTING MEDIUM 91 2.10.4 SCALAR WAVE EQUATION FOR A
CONDUCTING MEDIUM 92 2.10.5 FIELDS DETERMINED BY MAXWELL S EQUATIONS VS.
FIELDS DETERMINED BY THE WAVE EQUATION 92 2.10.6 TRANSIENT UNIFORM PLANE
WAVES IN A CONDUCTING MEDIUM 93 2.10.7 PROPAGATION OF CYLINDRICAL WAVES
IN A LOSSLESS MEDIUM 100 2.10.8 PROPAGATION OF SPHERICAL WAVES IN A
LOSSLESS MEDIUM 103 2.10.9 NONRADIATING SOURCES 106 2.11 PROBLEMS 108 3
THE STATIC ELECTROMAGNETIC FIELD 115 3.1 STATIC FIELDS AND STEADY
CURRENTS 115 3.1.1 DECOUPLING OF THE ELECTRIC AND MAGNETIC FIELDS 116
3.1.2 STATIC FIELD EQUILIBRIUM AND CONDUCTORS 117 3.1.3 STEADY CURRENT
119 3.2 ELECTROSTATICS 121 3.2.1 THE ELECTROSTATIC POTENTIAL AND WORK
121 3.2.2 BOUNDARY CONDITIONS 123 3.2.3 UNIQUENESS OF THE ELECTROSTATIC
FIELD 125 3.2.4 POISSON S AND LAPLACE S EQUATIONS 126 3.2.5 FORCE AND
ENERGY 140 3.2.6 MULTIPOLE EXPANSION 144 3.2.7 FIELD PRODUCED BY A
PERMANENTLY POLARIZED BODY 150 3.2.8 POTENTIAL OF A DIPOLE LAYER 151
3.2.9 BEHAVIOR OF ELECTRIC CHARGE DENSITY NEAR A CONDUCTING EDGE . . . .
153 3.2.10 SOLUTION TO LAPLACE S EQUATION FOR BODIES IMMERSED IN AN IM-
PRESSED FIELD 155 3.3 MAGNETOSTATICS 157 3.3.1 THE MAGNETIC VECTOR
POTENTIAL 159 3.3.2 MULTIPOLE EXPANSION 162 3.3.3 BOUNDARY CONDITIONS
FOR THE MAGNETOSTATIC FIELD 165 3.3.4 UNIQUENESS OF THE MAGNETOSTATIC
FIELD 166 3.3.5 INTEGRAL SOLUTION FOR THE VECTOR POTENTIAL 167 3.3.6
FORCE AND ENERGY 170 3.3.7 MAGNETIC FIELD OF A PERMANENTLY MAGNETIZED
BODY 178 3.3.8 BODIES IMMERSED IN AN IMPRESSED MAGNETIC FIELD:
MAGNETOSTATIC SHIELDING 181 3.4 STATIC FIELD THEOREMS 182 3.4.1 MEAN
VALUE THEOREM OF ELECTROSTATICS 182 3.4.2 EARNSHAW S THEOREM 182 TABLE
OF CONTENTS VLL 3.4.3 THOMSON S THEOREM 183 3.4.4 GREEN S RECIPROCATION
THEOREM 184 3.5 PROBLEMS 186 4 TEMPORAL AND SPATIAL FREQUENCY DOMAIN
REPRESENTATION 195 4.1 INTERPRETATION OF THE TEMPORAL TRANSFORM 195 4.2
THE FREQUENCY-DOMAIN MAXWELL EQUATIONS 196 4.3 BOUNDARY CONDITIONS ON
THE FREQUENCY-DOMAIN FIELDS 197 4.4 THE CONSTITUTIVE AND KRONIG-KRAMERS
RELATIONS 198 4.4.1 THE COMPLEX PERMITTIVITY 199 4.4.2 HIGH AND LOW
FREQUENCY BEHAVIOR OF CONSTITUTIVE PARAMETERS . . . 200 4.4.3 THE
KRONIG-KRAMERS RELATIONS 200 4.5 DISSIPATED AND STORED ENERGY IN A
DISPERSIVE MEDIUM 204 4.5.1 DISSIPATION IN A DISPERSIVE MATERIAL 205
4.5.2 ENERGY STORED IN A DISPERSIVE MATERIAL 208 4.5.3 THE ENERGY
THEOREM 212 4.6 SOME SIMPLE MODELS FOR CONSTITUTIVE PARAMETERS 213 4.6.1
COMPLEX PERMITTIVITY OF A NON-MAGNETIZED PLASMA 213 4.6.2 COMPLEX DYADIC
PERMITTIVITY OF A MAGNETIZED PLASMA 218 4.6.3 SIMPLE MODELS OF
DIELECTRICS 220 4.6.4 PERMITTIVITY AND CONDUCTIVITY OF A CONDUCTOR 233
4.6.5 PERMEABILITY DYADIC OF A FERRITE 233 4.7 MONOCHROMATIC FIELDS AND
THE PHASOR DOMAIN 238 4.7.1 THE TIME-HARMONIC EM FIELDS AND CONSTITUTIVE
RELATIONS 239 4.7.2 THE PHASOR FIELDS AND MAXWELL S EQUATIONS 240 4.7.3
BOUNDARY CONDITIONS ON THE PHASOR FIELDS 241 4.8 POYNTING S THEOREM FOR
TIME-HARMONIC FIELDS 241 4.8.1 GENERAL FORM OF POYNTING S THEOREM 242
4.8.2 POYNTING S THEOREM FOR NONDISPERSIVE MATERIALS 243 4.8.3 LOSSLESS,
LOSSY, AND ACTIVE MEDIA 245 4.9 THE COMPLEX POYNTING THEOREM 247 4.9.1
BOUNDARY CONDITION FOR THE TIME-AVERAGE POYNTING VECTOR .... 249 4.10
FUNDAMENTAL THEOREMS FOR TIME-HARMONIC FIELDS 249 4.10.1 UNIQUENESS 249
4.10.2 RECIPROCITY REVISITED 252 4.10.3 DUALITY 255 4.11 THE WAVE NATURE
OF THE TIME-HARMONIC EM FIELD 258 4.11.1 THE FREQUENCY-DOMAIN WAVE
EQUATION 258 4.11.2 FIELD RELATIONSHIPS AND THE WAVE EQUATION FOR
TWO-DIMENSIONAL FIELDS 259 4.11.3 PLANE WAVES IN A HOMOGENEOUS,
ISOTROPIC, LOSSY MATERIAL 262 4.11.4 MONOCHROMATIC PLANE WAVES IN A
LOSSY MEDIUM 273 4.11.5 PLANE WAVES IN LAYERED MEDIA 284 4.11.6
PLANE-WAVE PROPAGATION IN AN ANISOTROPIC FERRITE MEDIUM 304 4.11.7
PROPAGATION OF CYLINDRICAL WAVES 308 4.11.8 PROPAGATION OF SPHERICAL
WAVES IN A CONDUCTING MEDIUM 325 4.11.9 NONRADIATING SOURCES 328 4.12
INTERPRETATION OF THE SPATIAL TRANSFORM 329 4.13 SPATIAL FOURIER
DECOMPOSITION 331 4.13.1 BOUNDARY VALUE PROBLEMS USING THE SPATIAL
FOURIER REPRESENTATION 336 ELECTROMAGNETICS 4.14 PERIODIC FIELDS AND
FLOQUET S THEOREM 345 4.14.1 FLOQUET S THEOREM 345 4.14.2 EXAMPLES OF
PERIODIC SYSTEMS 346 4.15 PROBLEMS 350 FIELD DECOMPOSITIONS AND THE EM
POTENTIALS 357 5.1 SPATIAL SYMMETRY DECOMPOSITIONS 357 5.1.1 PLANAR
FIELD SYMMETRY 357 5.2 SOLENOIDAL-LAMELLAR DECOMPOSITION 362 5.2.1
SOLUTION FOR POTENTIALS IN AN UNBOUNDED MEDIUM: THE RETARDED POTENTIALS
372 5.2.2 SOLUTION FOR POTENTIAL FUNCTIONS IN A BOUNDED MEDIUM 382 5.3
TRANSVERSE-LONGITUDINAL DECOMPOSITION 384 5.3.1 TRANSVERSE-LONGITUDINAL
DECOMPOSITION IN TERMS OF FIELDS 384 5.4 TE-TM DECOMPOSITION 387 5.4.1
TE-TM DECOMPOSITION IN TERMS OF FIELDS 387 5.4.2 TE-TM DECOMPOSITION IN
TERMS OF HERTZIAN POTENTIALS 388 5.4.3 APPLICATION: HOLLOW-PIPE
WAVEGUIDES 390 5.4.4 TE-TM DECOMPOSITION IN SPHERICAL COORDINATES 400
5.5 PROBLEMS 409 INTEGRAL SOLUTIONS OF MAXWELL S EQUATIONS 415 6.1
VECTOR KIRCHHOFF SOLUTION 415 6.1.1 THE STRATTON-CHU FORMULA 415 6.1.2
THE SOMMERFELD RADIATION CONDITION 419 6.1.3 FIELDS IN THE EXCLUDED
REGION: THE EXTINCTION THEOREM 420 6.2 FIELDS IN AN UNBOUNDED MEDIUM 421
6.2.1 THE FAR-ZONE FIELDS PRODUCED BY SOURCES IN UNBOUNDED SPACE . . .
423 6.3 FIELDS IN A BOUNDED, SOURCE-FREE REGION 428 6.3.1 THE VECTOR
HUYGENS PRINCIPLE 428 6.3.2 THE FRANZ FORMULA 429 6.3.3 LOVE S
EQUIVALENCE PRINCIPLE 430 6.3.4 THE SCHELKUNOFF EQUIVALENCE PRINCIPLE
432 6.3.5 FAR-ZONE FIELDS PRODUCED BY EQUIVALENT SOURCES 433 6.4
PROBLEMS 436 INTEGRAL EQUATIONS IN ELECTROMAGNETICS 439 7.1 A BRIEF
OVERVIEW OF INTEGRAL EQUATIONS 439 7.1.1 CLASSIFICATION OF INTEGRAL
EQUATIONS 439 7.1.2 ANALYTIC SOLUTION OF INTEGRAL EQUATIONS 441 7.1.3
NUMERICAL SOLUTION OF INTEGRAL EQUATIONS 441 7.1.4 THE METHOD OF MOMENTS
(MOM) 442 7.1.5 WRITING A BOUNDARY VALUE PROBLEM AS AN INTEGRAL EQUATION
. . . . 445 7.1.6 HOW INTEGRAL EQUATIONS ARISE IN ELECTROMAGNETICS 448
7.2 PLANE-WAVE REFLECTION FROM AN INHOMOGENEOUS REGION 450 7.3 SOLUTION
TO PROBLEMS INVOLVING THIN WIRES 457 7.3.1 THE STRAIGHT WIRE 457 7.3.1.1
DERIVATION OF THE ELECTRIC-FIELD INTEGRAL EQUATION 458 7.3.1.2 SOLUTION
TO THE ELECTRIC FIELD INTEGRAL EQUATION 461 7.3.1.3 IMPRESSED FIELD
MODELS FOR ANTENNAS 464 TABLE OF CONTENTS IX 7.3.1.4 IMPRESSED FIELD
MODELS FOR SCATTERERS 469 7.3.2 CURVED WIRES 474 7.3.2.1 POCKLINGTON
EQUATION FOR CURVED WIRES 474 7.3.2.2 HALLEN EQUATION FOR CURVED WIRES
477 7.3.2.3 EXAMPLE * THE CIRCULAR LOOP ANTENNA 479 7.3.3 SINGULARITY
EXPANSION METHOD FOR A STRAIGHT WIRE 484 7.3.3.1 INTEGRAL EQUATION FOR
NATURAL FREQUENCIES AND MODAL CUR RENT DISTRIBUTIONS 486 7.3.3.2
NUMERICAL SOLUTION FOR NATURAL-MODE CURRENT 488 7.3.4 TIME-DOMAIN
INTEGRAL EQUATIONS FOR A STRAIGHT WIRE 495 7.3.4.1 TIME-DOMAIN HALLEN
EQUATION 496 7.3.4.2 APPROXIMATE SOLUTION FOR THE EARLY-TIME CURRENT 497
7.4 SOLUTION TO PROBLEMS INVOLVING TWO-DIMENSIONAL CONDUCTORS 499 7.4.1
THE TWO-DIMENSIONAL GREEN S FUNCTION 500 7.4.2 SCATTERING BY A
CONDUCTING STRIP 502 7.4.2.1 TM POLARIZATION 502 7.4.2.2 PHYSICAL OPTICS
APPROXIMATION FOR THE CURRENT AND RCS OF A STRIP * TM CASE 505 7.4.2.3
NUMERICAL RESULTS 506 7.4.3 ** POLARIZATION 506 7.4.3.1 PHYSICAL OPTICS
APPROXIMATION FOR THE CURRENT AND RCS OF A STRIP * ** CASE 511 7.4.3.2
NUMERICAL RESULTS 511 7.4.4 SCATTERING BY A RESISTIVE STRIP 511 7.4.4.1
NUMERICAL RESULTS 514 7.4.5 CUTOFF WAVENUMBERS OF HOLLOW-PIPE WAVEGUIDES
514 7.4.6 SCATTERING BY A CONDUCTING CYLINDER 524 7.4.6.1 TM
POLARIZATION * EFIE 527 7.4.6.2 ** POLARIZATION * EFIE 530 7.4.6.3 **
POLARIZATION * MFIE 535 7.5 SCATTERING BY A PENETRABLE CYLINDER 541 7.6
PROBLEMS 549 A MATHEMATICAL APPENDIX 559 A.L THE FOURIER TRANSFORM 559
A.2 VECTOR TRANSPORT THEOREMS 582 A.3 DYADIC ANALYSIS 587 A.4 BOUNDARY
VALUE PROBLEMS 592 * USEFUL IDENTITIES 623 * SOME FOURIER TRANSFORM
PAIRS 629 D COORDINATE SYSTEMS 631 E PROPERTIES OF SPECIAL FUNCTIONS 639
E.L BESSEL FUNCTIONS 639 E.2 LEGENDRE FUNCTIONS 645 E.3 SPHERICAL
HARMONICS 649 X ELECTROMAGNETICS F DERIVATION OF AN INTEGRAL IDENTITY
653 REFERENCES 655 INDEX 667
|
| any_adam_object | 1 |
| author | Rothwell, Edward J. Cloud, Michael J. 1960- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.141 |
| dewey-search | 530.141 |
| dewey-sort | 3530.141 |
| dewey-tens | 530 - Physics |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 2. ed. |
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| indexdate | 2024-07-09T22:41:26Z |
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| isbn | 9781420064476 |
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| series2 | Electrical engineering textbook series |
| spelling | Rothwell, Edward J. Verfasser aut Electromagnetics Edward J. Rothwell ; Michael J. Cloud 2. ed. Boca Raton, Fla. [u.a.] CRC Press 2009 XIII, 687 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Electrical engineering textbook series Literaturverz. S. 655 - 666 Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Theoretische Elektrotechnik (DE-588)4185099-3 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Elektromagnetismus (DE-588)4014306-5 s Theoretische Elektrotechnik (DE-588)4185099-3 s DE-604 Cloud, Michael J. 1960- Verfasser (DE-588)120264242 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020409219&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rothwell, Edward J. Cloud, Michael J. 1960- Electromagnetics Elektromagnetismus (DE-588)4014306-5 gnd Theoretische Elektrotechnik (DE-588)4185099-3 gnd |
| subject_GND | (DE-588)4014306-5 (DE-588)4185099-3 (DE-588)4123623-3 |
| title | Electromagnetics |
| title_auth | Electromagnetics |
| title_exact_search | Electromagnetics |
| title_full | Electromagnetics Edward J. Rothwell ; Michael J. Cloud |
| title_fullStr | Electromagnetics Edward J. Rothwell ; Michael J. Cloud |
| title_full_unstemmed | Electromagnetics Edward J. Rothwell ; Michael J. Cloud |
| title_short | Electromagnetics |
| title_sort | electromagnetics |
| topic | Elektromagnetismus (DE-588)4014306-5 gnd Theoretische Elektrotechnik (DE-588)4185099-3 gnd |
| topic_facet | Elektromagnetismus Theoretische Elektrotechnik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020409219&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT rothwelledwardj electromagnetics AT cloudmichaelj electromagnetics |