Numerical techniques in electromagnetics:
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| New Title: | Sadiku, Matthew N. O. Numerical techniques in electromagnetics with MATLAB |
|---|---|
| Main Author: | |
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2001
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 743 S. Ill., graph. Darst. |
| ISBN: | 0849313953 |
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Record in the Search Index
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| adam_text | NUMERICAL TECHNIQUES IN ELECTROMAGNETICS SECOND EDITION MATTHEW N. O.
SADIKU, PH.D. CRC PRESS BOCA RATON LONDON NEW YORK WASHINGTON, D.C.
CONTENTS 1 FUNDAMENTAL CONCEPTS 1 1.1 INTRODUCTION 1 1.2 REVIEW OF
ELECTROMAGNETIC THEORY 2 1.2.1 ELECTROSTATIC FIELDS 3 1.2.2
MAGNETOSTATIC FIELDS 4 1.2.3 TIME-VARYING FIELDS 5 1.2.4 BOUNDARY
CONDITIONS 7 1.2.5 WAVE EQUATIONS 7 1.2.6 TIME-VARYING POTENTIALS 9
1.2.7 TIME-HARMONIC FIELDS 10 1.3 CLASSIFICATION OF EM PROBLEMS . 14
1.3.1 CLASSIFICATION OF SOLUTION REGIONS 14 1.3.2 CLASSIFICATION OF
DIFFERENTIAL EQUATIONS 15 1.3.3 CLASSIFICATION OF BOUNDARY CONDITIONS 18
1.4 SOME IMPORTANT THEOREMS 20 1.4.1 SUPERPOSITION PRINCIPLE 20 1.4.2
UNIQUENESS THEOREM 21 REFERENCES 23 PROBLEMS 23 2 ANALYTICAL METHODS 27
2.1 INTRODUCTION 27 2.2 SEPARATION OF VARIABLES 28 2.3 SEPARATION OF
VARIABLES IN RECTANGULAR COORDINATES . . : 30 2.3.1 LAPLACE S EQUATIONS
30 2.3.2 WAVE EQUATION 34 NUMERICAL TECHNIQUES IN ELECTROMAGNETICS 2.4
SEPARATION OF VARIABLES IN CYLINDRICAL COORDINATES 39 2.4.1 LAPLACE S
EQUATION 40 2.4.2 WAVE EQUATION 42 2.5 SEPARATION OF VARIABLES IN
SPHERICAL COORDINATES 53 2.5.1 LAPLACE S EQUATION 54 2.5.2 WAVE EQUATION
59 2.6 SOME USEFUL ORTHOGONAL FUNCTIONS 68 2.7 SERIES EXPANSION 78 2.7.1
POISSON S EQUATION IN A CUBE 78 2.7.2 POISSON S EQUATION IN A CYLINDER
80 2.7.3 STRIP TRANSMISSION LINE 83 2.8 PRACTICAL APPLICATIONS 88 2.8.1
SCATTERING BY DIELECTRIC SPHERE 88 2.8.2 SCATTERING CROSS SECTIONS 92
2.9 ATTENUATION DUE TO RAINDROPS 95 2.10 CONCLUDING REMARKS 105
REFERENCES 106 PROBLEMS 107 FINITE DIFFERENCE METHODS 121 3.1
INTRODUCTION 121 3.2 FINITE DIFFERENCE SCHEMES 122 3.3 FINITE
DIFFERENCING OF PARABOLIC PDES 125 3.4 FINITE DIFFERENCING OF HYPERBOLIC
PDES 131 3.5 FINITE DIFFERENCING OF ELLIPTIC PDES 134 3.5.1 BAND MATRIX
METHOD 137 3.5.2 ITERATIVE METHODS 137 3.6 ACCURACY AND STABILITY OF FD
SOLUTIONS 143 3.7 PRACTICAL APPLICATIONS I * GUIDED STRUCTURES 147 3.7.1
TRANSMISSION LINES 148 3.7.2 WAVEGUIDES 154 3.8 PRACTICAL APPLICATIONS
II * WAVE SCATTERING (FDTD) 159 3.8.1 YEE S FINITE DIFFERENCE ALGORITHM
160 3.8.2 ACCURACY AND STABILITY . ... . 163 3.8.3 LATTICE TRUNCATION
CONDITIONS 164 3.8.4 INITIAL FIELDS . . 167 3.8.5 PROGRAMMING ASPECTS
168 3.9 ABSORBING BOUNDARY CONDITIONS FOR FDTD 177 3.10 FINITE
DIFFERENCING FOR NONRECTANGULAR SYSTEMS 186 3.10.1 CYLINDRICAL
COORDINATES 186 3.10.2 SPHERICAL COORDINATES 190 3.11 NUMERICAL
INTEGRATION .* 193 3.11.1 EULER SRULE 196 3.11.2 TRAPEZOIDAL RULE 197
3.11.3 SIMPSON S RULE 197 CONTENTS XI 3.11.4 NEWTON-COTES RULES 198
3.11.5 GAUSSIAN RULES 200 3.11.6 MULTIPLE INTEGRATION 203 3.12
CONCLUDING REMARKS 208 REFERENCES 210 PROBLEMS 219 VARIATIONAL METHODS
235 4.1 INTRODUCTION 235 4.2 OPERATORS IN LINEAR SPACES 236 4.3 CALCULUS
OF VARIATIONS 238 4.4 CONSTRUCTION OF FUNCTIONALS FROM PDES 242 4.5
RAYLEIGH-RITZ METHOD 245 4.6 WEIGHTED RESIDUAL METHOD 252 4.6.1
COLLOCATION METHOD 253 4.6.2 SUBDOMAIN METHOD 254 4.6.3 GALERKIN METHOD
254 4.6.4 LEAST SQUARES METHOD 255 4.7 EIGENVALUE PROBLEMS . . . 261 4.8
PRACTICAL APPLICATIONS 268 4.9 CONCLUDING REMARKS 274 REFERENCES 275
PROBLEMS 279 MOMENT METHODS 285 5.1 INTRODUCTION 285 5.2 INTEGRAL
EQUATIONS 286 5.2.1 CLASSIFICATION OF INTEGRAL EQUATIONS 286 5.2.2
CONNECTION BETWEEN DIFFERENTIAL AND INTEGRAL EQUATIONS . . 287 5.3
GREEN S FUNCTIONS 290 5.3.1 FOR FREE SPACE 292 5.3.2 FOR DOMAIN WITH
CONDUCTING BOUNDARIES 295 5.4 APPLICATIONS I * QUASI-STATIC PROBLEMS 308
5.5 APPLICATIONS II * SCATTERING PROBLEMS 313 5.5.1 SCATTERING BY
CONDUCTING CYLINDER 314 5.5.2 SCATTERING BY AN ARBITRARY ARRAY OF
PARALLEL WIRES 317 5.6 APPLICATIONS III * RADIATION PROBLEMS . 325 5.6.1
HALLEN S INTEGRAL EQUATION 326 5.6.2 POCKLINGTON S INTEGRAL EQUATION 327
5.6.3 EXPANSION AND WEIGHTING FUNCTIONS 327 5.7 APPLICATIONS IV * EM
ABSORPTION IN THE HUMAN BODY 338 5.7.1 DERIVATION OF INTEGRAL EQUATIONS
339 5.7.2 TRANSFORMATION TO MATRIX EQUATION (DISCRETIZATION) 342 5.7.3
EVALUATION OF MATRIX ELEMENTS 343 5.7.4 SOLUTION OF THE MATRIX EQUATION
345 XII NUMERICAL TECHNIQUES IN ELECTROMAGNETICS 5.8 CONCLUDING REMARKS
347 REFERENCES 357 PROBLEMS 363 FINITE ELEMENT METHOD 377 6.1
INTRODUCTION 377 6.2 SOLUTION OF LAPLACE S EQUATION 378 6.2.1 FINITE
ELEMENT DISCRETIZATION 378 6.2.2 ELEMENT GOVERNING EQUATIONS 380 6.2.3
ASSEMBLING OF ALL ELEMENTS 383 6.2.4 SOLVING THE RESULTING EQUATIONS 386
6.3 SOLUTION OF POISSON S EQUATION 397 6.3.1 DERIVING ELEMENT-GOVERNING
EQUATIONS 397 6.3.2 SOLVING THE RESULTING EQUATIONS 399 6.4 SOLUTION OF
THE WAVE EQUATION 400 6.5 AUTOMATIC MESH GENERATION I * RECTANGULAR
DOMAINS 407 6.6 AUTOMATIC MESH GENERATION II * ARBITRARY DOMAINS 410
6.6.1 DEFINITION OF BLOCKS 411 6.6.2 SUBDIVISION OF EACH BLOCK 412 6.6.3
CONNECTION OF INDIVIDUAL BLOCKS 413 6.7 BANDWIDTH REDUCTION 420 6.8
HIGHER ORDER ELEMENTS 424 6.8.1 PASCAL TRIANGLE 425 6.8.2 LOCAL
COORDINATES 426 6.8.3 SHAPE FUNCTIONS 427 6.8.4 FUNDAMENTAL MATRICES 430
6.9 THREE-DIMENSIONAL ELEMENTS 439 6.10 FINITE ELEMENT METHODS FOR
EXTERIOR PROBLEMS 444 6.10.1 INFINITE ELEMENT METHOD . 444 6.10.2
BOUNDARY ELEMENT METHOD 446 6.10.3 ABSORBING BOUNDARY CONDITIONS 446
6.11 CONCLUDING REMARKS 448 REFERENCES 449 PROBLEMS *. 458
TRANSMISSION-LINE-MATRIX METHOD - 467 7.1 INTRODUCTION * 467 7.2
TRANSMISSION-LINE EQUATIONS 469 7.3 SOLUTION OF DIFFUSION EQUATION 473
7.4 SOLUTION OF WAVE EQUATIONS 477 7.4.1 EQUIVALENCE BETWEEN NETWORK AND
FIELD PARAMETERS .... 477 7.4.2 DISPERSION RELATION OF PROPAGATION
VELOCITY . 481 7.4.3 SCATTERING MATRIX 483 7.4.4 BOUNDARY REPRESENTATION
486 7.4.5 COMPUTATION OF FIELDS AND FREQUENCY RESPONSE 487 CONTENTS
7.4.6 OUTPUT RESPONSE AND ACCURACY OF RESULTS 487 7.5 INHOMOGENEOUS AND
LOSSY MEDIA IN TLM 493 7.5.1 GENERAL TWO-DIMENSIONAL SHUNT NODE 494
7.5.2 SCATTERING MATRIX 496 7.5.3 REPRESENTATION OF LOSSY BOUNDARIES 497
7.6 THREE-DIMENSIONAL TLM MESH 499 7.6.1 SERIES NODES 499 7.6.2
THREE-DIMENSIONAL NODE 504 7.6.3 BOUNDARY CONDITIONS 507 7.7 ERROR
SOURCES AND CORRECTION 517 7.7.1 TRUNCATION ERROR 518 7.7.2 COARSENESS
ERROR 518 7.7.3 VELOCITY ERROR 519 7.7.4 MISALIGNMENT ERROR 519 7.8
ABSORBING BOUNDARY CONDITIONS 519 7.9 CONCLUDING REMARKS 521 REFERENCES
523 PROBLEMS 529 MONTE CARLO METHODS 537 8.1 INTRODUCTION 537 8.2
GENERATION OF RANDOM NUMBERS AND VARIABLES 538 8.3 EVALUATION OF ERROR
542 8.4 NUMERICAL INTEGRATION 546 8.4.1 CRUDE MONTE CARLO INTEGRATION
546 8.4.2 MONTE CARLO INTEGRATION WITH ANTITHETIC VARIATES 548 8.4.3
IMPROPER INTEGRALS 549 8.5 SOLUTION OF POTENTIAL PROBLEMS , 550 8.5.1
FIXED RANDOM WALK . 552 8.5.2 FLOATING RANDOM WALK 557 8.5.3 EXODUS
METHOD 559 8.6 REGIONAL MONTE CARLO METHODS 574 8.7 CONCLUDING REMARKS
581 REFERENCES 582 PROBLEMS 588 METHOD OF LINES 597 9.1 INTRODUCTION
597 9.2 SOLUTION OF LAPLACE S EQUATION 598 9.2.1 RECTANGULAR COORDINATES
598 9.2.2 CYLINDRICAL COORDINATES 605 9.3 SOLUTION OF WAVE EQUATION 609
9.3.1 PLANAR MICROSTRIP STRUCTURES 612 9.3.2 CYLINDRICAL MICROSTRIP
STRUCTURES 619 9.4 TIME-DOMAIN SOLUTION 627 XIV NUMERICAL TECHNIQUES IN
ELECTROMAGNETICS 9.5 CONCLUDING REMARKS 629 REFERENCES *-.- 629 PROBLEMS
635 A VECTOR RELATIONS 639 A.I VECTOR IDENTITIES 639 A.2 VECTOR THEOREMS
639 A.3 ORTHOGONAL COORDINATES 640 B SOLVING ELECTROMAGNETIC PROBLEMS
USING C+ + 643 B.I INTRODUCTION 643 B.2 A BRIEF DESCRIPTION OF C++ 643
B.3 OBJECT-ORIENTATION 661 B.4 C++ OBJECT-ORIENTED LANGUAGE FEATURES 665
B.5 A FINAL NOTE 674 REFERENCES 675 C NUMERICAL TECHNIQUES IN C++ 677 D
SOLUTION OF SIMULTANEOUS EQUATIONS 701 D.I ELIMINATION METHODS 701 D.I.I
GAUSS S METHOD 702 D.1.2 CHOLESKY S METHOD * 703 D.2 ITERATIVE METHODS
706 D.2.1 JACOBI S METHOD 706 . D.2.2 GAUSS-SEIDEL METHOD 708 D.2.3
RELAXATION METHOD 708 D.2.4 GRADIENT METHODS . . . . I 710 D.3 MATRIX
INVERSION * 713 D.4 EIGENVALUE PROBLEMS 714 D.4.1 ITERATION (OR POWER)
METHOD 716 D.4.2 JACOBI S METHOD 717 E ANSWERS TO ODD-NUMBERED PROBLEMS
725 INDEX 741
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:45:15Z |
| institution | BVB |
| isbn | 0849313953 |
| language | English |
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| spelling | Sadiku, Matthew N. O. Verfasser aut Numerical techniques in electromagnetics Matthew N. O. Sadiku 2. ed. Boca Raton [u.a.] CRC Press 2001 XIV, 743 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analyse numérique ram EDP inriac analyse numérique inriac méthode Monte-Carlo inriac méthode différence finie inriac méthode moment inriac méthode variationnelle inriac Électromagnétisme ram électromagnétisme inriac Electromagnetism Numerical analysis Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Elektrodynamik (DE-588)4014251-6 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Elektrodynamik (DE-588)4014251-6 s 1\p DE-604 Später u.d.T. Sadiku, Matthew N. O. Numerical techniques in electromagnetics with MATLAB GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009144820&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sadiku, Matthew N. O. Numerical techniques in electromagnetics Analyse numérique ram EDP inriac analyse numérique inriac méthode Monte-Carlo inriac méthode différence finie inriac méthode moment inriac méthode variationnelle inriac Électromagnétisme ram électromagnétisme inriac Electromagnetism Numerical analysis Elektromagnetismus (DE-588)4014306-5 gnd Elektrodynamik (DE-588)4014251-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4014306-5 (DE-588)4014251-6 (DE-588)4128130-5 |
| title | Numerical techniques in electromagnetics |
| title_auth | Numerical techniques in electromagnetics |
| title_exact_search | Numerical techniques in electromagnetics |
| title_full | Numerical techniques in electromagnetics Matthew N. O. Sadiku |
| title_fullStr | Numerical techniques in electromagnetics Matthew N. O. Sadiku |
| title_full_unstemmed | Numerical techniques in electromagnetics Matthew N. O. Sadiku |
| title_new | Sadiku, Matthew N. O. Numerical techniques in electromagnetics with MATLAB |
| title_short | Numerical techniques in electromagnetics |
| title_sort | numerical techniques in electromagnetics |
| topic | Analyse numérique ram EDP inriac analyse numérique inriac méthode Monte-Carlo inriac méthode différence finie inriac méthode moment inriac méthode variationnelle inriac Électromagnétisme ram électromagnétisme inriac Electromagnetism Numerical analysis Elektromagnetismus (DE-588)4014306-5 gnd Elektrodynamik (DE-588)4014251-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Analyse numérique EDP analyse numérique méthode Monte-Carlo méthode différence finie méthode moment méthode variationnelle Électromagnétisme électromagnétisme Electromagnetism Numerical analysis Elektromagnetismus Elektrodynamik Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009144820&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sadikumatthewno numericaltechniquesinelectromagnetics |