Analysis of electromagnetic fields and waves: the method of lines
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester
Wiley [u.a.]
2008
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| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XI, 507 S. Ill., graph. Darst. |
| ISBN: | 9780470033609 |
Internformat
MARC
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| 100 | 1 | |a Pregla, Reinhold |d 1938- |e Verfasser |0 (DE-588)120489414 |4 aut | |
| 245 | 1 | 0 | |a Analysis of electromagnetic fields and waves |b the method of lines |c Reinhold Pregla |
| 264 | 1 | |a Chichester |b Wiley [u.a.] |c 2008 | |
| 300 | |a XI, 507 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a CHAMP ÉLECTROMAGNÉTIQUE, CHAMP MAGNÉTIQUE DES COURANTS | |
| 650 | 4 | |a ELECTROMAGNETIC FIELDS, MAGNETIC FIELD OF CURRENTS | |
| 650 | 4 | |a ELEKTROMAGNETISCHES FELD, MAGNETISCHES FELD VON STRÖMEN | |
| 650 | 4 | |a LINIENMETHODE (NUMERISCHE MATHEMATIK) | |
| 650 | 4 | |a METHOD OF LINES (NUMERICAL MATHEMATICS) | |
| 650 | 4 | |a TECHNIQUE LINÉAIRE (ANALYSE NUMÉRIQUE) | |
| 650 | 7 | |a Elektromagnetische Welle - Partielle Differentialgleichung |2 idsbb | |
| 650 | 7 | |a Elektromagnetisches Feld - Partielle Differentialgleichung |2 idsbb | |
| 650 | 7 | |a Partielle Differentialgleichung - Elektromagnetische Welle |2 idsbb | |
| 650 | 7 | |a Partielle Differentialgleichung - Elektromagnetisches Feld |2 idsbb | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Electromagnetic devices |x Mathematical models | |
| 650 | 4 | |a Electromagnetism |x Mathematics | |
| 650 | 4 | |a Differential equations, Partial |x Numerical solutions | |
| 856 | 4 | |u http://www.loc.gov/catdir/enhancements/fy0808/2008003751-d.html |3 Publisher description | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016411032&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016411032 | ||
Datensatz im Suchindex
| _version_ | 1804137514795008000 |
|---|---|
| adam_text | ANALYSIS OF ELECTROMAGNETIC FIELDS AND WAVES THE METHOD OF LINES
REINHOLD PREGLA FERNUNIVERSITAET WITH THE ASSISTANCE OF STEFAN HELFERT
JOHN WILEY & SONS, LTD RESEARCH STUDIES PRESS LIMITED CONTENTS PREFACE
XIII 1 THE METHOD OF LINES 1 1.1 INTRODUCTION 1 1.2 MOL: FUNDAMENTALS OF
DISCRETISATION 5 1.2.1 QUALITATIVE DESCRIPTION 5 1.2.2 QUANTITATIVE
DESCRIPTION OF THE DISCRETISATION 7 1.2.3 NUMERICAL EXAMPLE 11 2 BASIC
PRINCIPLES OF THE METHOD OF LINES 15 2.1 INTRODUCTION 15 2.2 BASIC
EQUATIONS 16 2.2.1 ANISOTROPIE MATERIAL PARAMETERS 16 2.2.2 RELATIONS
BETWEEN TRANSVERSAL ELECTRIC AND MAGNETIC FIELDS - GENERALISED
TRANSMISSION LINE (GTL) EQUATIONS . 19 2.2.3 RELATION TO THE ANALYSIS
WITH VECTOR POTENTIALS 21 2.2.4 GTL EQUATIONS FOR 2D STRUCTURES 22 2.2.5
SOLUTION OF THE GTL EQUATIONS 23 2.2.6 NUMERICAL EXAMPLES 25 2.3
EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS 26
2.3.1 INTRODUCTION 26 2.3.2 ANALYSIS EQUATIONS FOR EIGENMODES IN PLANAR
STRUCTURES . 30 2.3.3 EXAMPLES OF SYSTEM EQUATIONS 33 2.3.4
IMPEDANCE/ADMITTANCE TRANSFORMATION IN MULTILAYERED STRUCTURES 35 2.3.5
SYSTEM EQUATION IN TRANSFORMED DOMAIN 36 2.3.6 SYSTEM EQUATION IN
SPATIAL DOMAIN 38 2.3.7 MATRIX PARTITION TECHNIQUE: TWO EXAMPLES 40
2.3.8 NUMERICAL RESULTS 43 2.4 ANALYSIS OF PLANAR CIRCUITS 45 2.4.1
DISCRETISATION OF THE TRANSMISSION LINE EQUATIONS . . . . 45 2.4.2
DETERMINATION OF THE FIELD COMPONENTS 52 CONTENTS 2.5 FIELD AND
IMPEDANCE/ADMITTANCE TRANSFORMATION 52 2.5.1 INTRODUCTION 52 2.5.2
IMPEDANCE/ADMITTANCE TRANSFORMATION IN MULTILAYERED AND MULTISECTIONED
STRUCTURES 53 2.5.3 IMPEDANCE/ADMITTANCE TRANSFORMATION WITH FINITE
DIFFERENCES 61 2.5.4 STAHLE FIELD TRANSFORMATION THROUGH LAYERS AND
SECTIONS . 66 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS 73 3.1
INTRODUCTION 73 3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS 75 3.2.1 LSM
AND LSE MODES IN CIRCULAR WAVEGUIDE BENDS . . . . 76 3.2.2 LSM AND LSE
MODES IN STRAIGHT WAVEGUIDES 80 3.2.3 IMPEDANCE TRANSFORMATION AT
WAVEGUIDE INTERFACES ... 82 3.2.4 NUMERICAL RESULTS FOR CONCATENATIONS
84 3.2.5 NUMERICAL RESULTS FOR WAVEGUIDE FUETERS 87 3.3 WAVEGUIDE
JUNCTIONS 90 3.3.1 E-PLANE JUNCTIONS 93 3.3.2 H-PLANE JUNCTIONS 96 3.3.3
ALGORITHM FOR GENERALISED SCATTERING PARAMETERS 98 3.3.4 SPECIAL
JUNCTIONS: E-PLANE 3-PORT JUNCTION 99 3.3.5 MATCHED E-PLANE BEND 100
3.3.6 ANALYSIS OF WAVEGUIDE BEND DISCONTINUITIES 103 3.3.7 SCATTERING
PARAMETERS 110 3.3.8 NUMERICAL RESULTS 110 3.4 ANALYSIS OF 3D WAVEGUIDE
JUNCTIONS 115 3.4.1 GENERAL DESCRIPTION 116 3.4.2 BASIC EQUATIONS 117
3.4.3 DISCRETISATION SCHEME FOR PROPAGATION BETWEEN A AND B 118 3.4.4
DISCONTINUITIES 121 3.4.5 COUPLING TO OTHER PORTS 122 3.4.6
IMPEDANCE/ADMITTANCE TRANSFORMATION 125 3.4.7 NUMERICAL RESULTS 126
ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES 131 4.1
INTRODUCTION 131 4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS 132
4.2.1 MATERIAL PARAMETERS IN A CYLINDRICAL COORDINATE SYSTEM . 132 4.2.2
GTL EQUATIONS FOR ^-DIRECTION 133 4.2.3 GTL EQUATIONS FOR / -DIRECTION
137 CONTENTS VII 4.2.4 ANALYSIS OF CIRCULAR (COAXIAL) WAVEGUIDES WITH
AZIMUTHALLY-MAGNETISED FERRITES AND AZIMUTHALLY- MAGNETISED SOLID PLASMA
. . . * 140 4.2.5 GTL EQUATIONS FOR R-DIRECTION 144 4.3 DISCRETISATION
OF THE FIELDS AND SOLUTIONS . . 150 4.3.1 EQUATIONS FOR PROPAGATION IN
Z-DIRECTION 150 4.3.2 EQUATIONS FOR PROPAGATION IN ^-DIRECTION 153 4.3.3
SOLUTION OF THE WAVE EQUATIONS IN Z- AND / -DIRECTION . . 155 4.3.4
EQUATIONS FOR PROPAGATION IN R-DIRECTION 155 4.4 SOLUTION IN RADIAL
DIRECTION 155 4.4.1 DISCRETISATION IN Z-DIRECTION - CIRCULAR DIELECTRIC
RESONATORS 155 4.4.2 DISCRETISATION IN Z-DIRECTION - PROPAGATION IN
/ -DIRECTION 162 4.4.3 DISCRETISATION IN 0-DIRECTION - EIGENMODES IN
CIRCULAR MULTILAYERED WAVEGUIDES 171 4.4.4 EIGENMODES OF CIRCULAR
WAVEGUIDES WITH MAGNETISED FERRITE OR PLASMA - DISCRETISATION IN
R-DIRECTION 186 4.4.5 WAVEGUIDE BENDS - DISCRETISATION IN R-DIRECTION
202 4.4.6 UNIAXIAL ANISOTROPIC FIBRES WITH CIRCULAR AND NONCIRCULAR
CROSS-SECTION - DISCRETISATION IN ^-DIRECTION 208 4.5 DISCONTINUITIES IN
CIRCULAR WAVEGUIDES - ONE-DIMENSIONAL DISCRETISATION IN RADIAL DIRECTION
216 4.5.1 INTRODUCTION 216 4.5.2 BASIC EQUATIONS FOR ROTATIONAL SYMMETRY
217 4.5.3 SOLUTION OF THE EQUATIONS FOR ROTATIONAL SYMMETRY . . . . 218
4.5.4 ADMITTANCE AND IMPEDANCE TRANSFORMATION 219 4.5.5 OPEN ENDING
CIRCULAR WAVEGUIDE 220 4.5.6 NUMERICAL RESULTS FOR DISCONTINUITIES IN
CIRCULAR WAVEGUIDES 223 4.5.7 NUMERICAL RESULTS FOR COAXIAL LINE
DISCONTINUITIES AND COAXIAL FILTER DEVICES 223 4.5.8 NON-ROTATIONAL
MODES IN CIRCULAR WAVEGUIDES 225 4.5.9 NUMERICAL RESULTS AND DISCUSSION
228 4.6 ANALYSIS OF GENERAL AXIALLY SYMMETRIC ANTENNAS WITH COAXIAL FEED
LINES 229 4.6.1 INTRODUCTION 229 4.6.2 THEORY 230 4.6.3 REGIONS WITH
CROSSED LINES 239 4.6.4 TWO SPECIAL CASES 244 4.6.5 PORT RELATIONS OF
SECTION D 247 4.6.6 NUMERICAL RESULTS 248 4.6.7 FURTHER STRUCTURES AND
REMARKS 249 VIII CONTENTS 4.7 DEVICES IN CYLINDRICAL COORDINATES
TWO-DIMENSIONAL DISCRETISATION 250 4.7.1 DISCRETISATION IN R- AND
^»-DIRECTION 250 4.7.2 NUMERICAL RESULTS 253 4.7.3 DISCRETISATION IN R-
AND Z-DIRECTION 253 4.7.4 DISCRETISATION IN $- AND Z-DIRECTION 254
4.7.5 GTL EQUATIONS FOR R-DIRECTION 255 5 ANALYSIS OF PERIODIC
STRUCTURES 267 5.1 INTRODUCTION 267 5.2 PRINCIPLE BEHAVIOUR OF PERIODIC
STRUCTURES . . 269 5.3 GENERAL THEORY OF PERIODIC STRUCTURES 274 5.3.1
PORT RELATIONS FOR GENERAL TWO PORTS 274 5.3.2 FLOQUET MODES FOR
SYMMETRIE PERIODS 274 5.3.3 CONCATENATION OF N SYMMETRIE PERIODS 280
5.3.4 FLOQUET MODES FOR UNSYMMETRIC PERIODS 281 5.3.5 SOME FURTHER
GENERAL RELATIONS IN PERIODIC STRUETURES . . 283 5.4 NUMERICAL RESULTS
FOR PERIODIC STRUCTURES IN ONE DIRECTION 286 5.5 ANALYSIS OF PHOTONIC
CRYSTALS 291 5.5.1 DETERMINATION OF BAND DIAGRAMS 291 5.5.2 WAVEGUIDE
CIREUITS IN PHOTONIC CRYSTALS 297 5.5.3 NUMERICAL RESULTS FOR PHOTONIC
CRYSTAL CIREUITS 299 6 ANALYSIS OF COMPLEX STRUCTURES 311 6.1 LAYERS OF
VARIABLE THICKNESS 311 6.1.1 INTRODUCTION 311 6.1.2 MATCHING CONDITIONS
AT CURVED INTERFACES 312 6.2 MICROSTRIP SHARP BEND 315 6.3 IMPEDANCE
TRANSFORMATION AT DISCONTINUITIES 318 6.3.1 IMPEDANCE TRANSFORMATION AT
CONCATENATED JUNETIONS . . 318 6.4 ANALYSIS OF PLANAR WAVEGUIDE
JUNCTIONS . . . . 320 6.4.1 MAIN DIAGONAL SUBMATRICES 322 6.4.2
OFF-DIAGONAL SUBMATRICES - COUPLING TO PERPENDICULAR PORTS 323 6.5
NUMERICAL RESULTS 327 6.5.1 DISCONTINUITIES IN MICROSTRIPS 328 6.5.2
WAVEGUIDE JUNETIONS 333 7 PRECISE RESOLUTION WITH AN ENHANCED AND
GENERALISED LINE ALGORITHM 345 7.1 INTRODUCTION 345 7.2 CROSSED
DISCRETISATION LINES AND CARTESIAN COORDINATES 346 7.2.1 THEORETICAL
BACKGROUND 346 CONTENTS IX 7.2.2 LINES IN VERTICAL DIRECTION 351 7.2.3
LINES IN HORIZONTAL DIRECTION 357 7.3 SPECIAL STRUCTURES IN CARTESIAN
COORDINATES . 361 7.3.1 GROOVE GUIDE 361 7.3.2 COPLANAR WAVEGUIDE 363
7.4 CROSSED DISCRETISATION LINES AND CYLINDRICAL COORDINATES 366 7.4.1
PRINCIPLE OF ANALYSIS 366 7.4.2 GENERAL FORMULAS FOR EIGENMODE
CALCULATION 366 7.4.3 DISCRETISATION LINES IN RADIAL DIRECTION 367 7.4.4
DISCRETISATION LINES IN AZIMUTHAL DIRECTION 368 7.4.5 COUPLING TO
NEIGHBOURING PORTS 369 7.4.6 STEPS OF THE ANALYSIS PROCEDURE 373 7.5
NUMERICAL RESULTS 373 8 WAVEGUIDE STRUCTURES WITH MATERIALS OF GENERAL
ANISOTROPY IN ARBITRARY ORTHOGONAL COORDINATE SYSTEMS 377 8.1
GENERALISED TRANSMISSION LINE EQUATIONS . . . . 377 8.1.1 MATERIAL
PROPERTIES 377 8.1.2 MAXWELL S EQUATIONS IN MATRIX NOTATION 377 8.1.3
GENERALISED TRANSMISSION LINE EQUATIONS IN CARTESIAN COORDINATES FOR
GENERAL ANISOTROPIC MATERIAL 379 8.1.4 GENERALISED TRANSMISSION LINE
EQUATIONS FOR GENERAL ANISOTROPIC MATERIAL IN ARBITRARY ORTHOGONAL
COORDINATES 381 8.1.5 BOUNDARY CONDITIONS 383 8.1.6 INTERPOLATION
MATRICES 384 8.2 DISCRETISATION 385 8.2.1 TWO-DIMENSIONAL DISCRETISATION
385 8.2.2 ONE-DIMENSIONAL DISCRETISATION 386 8.3 SOLUTION OF THE
DIFFERENTIAL EQUATIONS 388 8.3.1 GENERAL SOLUTION 388 8.3.2 FIELD
RELATION BETWEEN INTERFACES A AND B 389 8.4 ANALYSIS OF WAVEGUIDE
JUNCTIONS AND SHARP BENDS WITH GENERAL ANISOTROPIC MATERIAL BY USING
ORTHOGONAL PROPAGATING WAVES 389 8.4.1 INTRODUCTION 389 8.4.2 THEORY 389
8.4.3 MAIN DIAGONAL SUBMATRICES 391 8.4.4 OFF-DIAGONAL SUBMATRICES -
COUPLING TO OTHER PORTS . . . 393 8.4.5 STEPS OF THE ANALYSIS PROCEDURE
398 8.5 NUMERICAL RESULTS 398 8.6 ANALYSIS OF WAVEGUIDE STRUCTURES IN
SPHERICAL COORDINATES 399 X CONTENTS 8.6.1 INTRODUCTION 399 8.6.2
GENERALISED TRANSMISSION LINE EQUATIONS IN SPHERICAL COORDINATES 400
8.6.3 ANALYSIS OF SPECIAL DEVICES - CONFORMAL ANTENNAS . . . . 408 8.6.4
ANALYSIS OF SPECIAL DEVICES - CONICAL HOERN ANTENNAS . . . 413 8.6.5
NUMERICAL RESULTS 419 8.7 ELLIPTICAL COORDINATES 420 8.7.1 GTL EQUATIONS
FOR Z-DIRECTION 421 8.7.2 GTL EQUATIONS FOR -DIRECTION 422 8.7.3 GTL
EQUATIONS FOR 77-DIRECTION 423 8.7.4 HOLLOW WAVEGUIDES WITH ELLIPTIC
CROSS-SECTION 424 9 SUMMARY AND PROSPECT FOR THE FUTURE 429 A
DISCRETISATION SCHEMES AND DIFFERENCE OPERATORS 433 A.L DETERMINATION OF
THE EIGENVALUES AND EIGENVECTORS OF P 433 A.L.L CALCULATION OF THE
MATRICES S 436 A.1.2 DERIVATION OF THE EIGENVALUES OF THE NEUMANN
PROBLEM FROM THOSE OF THE DIRICHLET PROBLEM 438 A.L.3 THE COMPONENT OF E
R AT AN ABRUPT TRANSITION 439 A.1.4 EIGENVALUES AND EIGENVECTORS FOR
PERIODIC BOUNDARY CONDITIONS 441 A.L.5 DISCRETISATION FOR NON-IDEAL
PLACES OF THE BOUNDARIES . .442 A.2 ABSORBING BOUNDARY CONDITIONS (ABCS)
444 A.2.1 INTRODUCTION 1 444 A.2.2 FACTORISATION OF THE HELMHOLTZ
EQUATION 445 A.2.3 PADE APPROXIMATION 446 A.2.4 POLYNOMIAL
APPROXIMATIONS 447 A.2.5 CONSTRUCTION OF THE DIFFERENCE OPERATOR FOR
ABCS . . . . 449 A.2.6 SPECIAL BOUNDARY CONDITIONS (SBCS) 450 A.2.7
NUMERICAL RESULTS 450 A.2.8 ABCS FOR CYLINDRICAL COORDINATES 453 A.2.9
PERIODIC BOUNDARY CONDITIONS 455 A.3 HIGHER-ORDER DIFFERENCE OPERATORS
[11] 456 A.3.1 INTRODUCTION 3 456 A.3.2 THEORY 457 A.3.3 NUMERICAL
RESULTS 459 A.4 NON-EQUIDISTANT DISCRETISATION 460 A.4.1 INTRODUCTION
460 A.4.2 THEORY 460 A.4.3 INTERPOLATION 464 A.4.4 NUMERICAL RESULTS 466
CONTENTS XI A.5 REFLECTIONS IN DISCRETISATION GRIDS 468 A.5.1
INTRODUCTION 468 A.5.2 DISPERSION RELATIONS 468 A.5.3 REFLECTIONS AT
DISCRETISATION TRANSITIONS 471 A.6 FIELD EXTRAPOLATION FOR NEUMANN
BOUNDARY CONDITIONS 475 A.7 ABOUT THE NATURE OF THE METHOD OF LINES ...
476 A.7.1 INTRODUCTION 476 A.7.2 RELATION BETWEEN SHIELDED STRUCTURES
AND PERIODIC ONES . 477 A.7.3 METHOD OF LINES AND DISCRETE FOURIER
TRANSFORMATION . . 478 A.7.4 DISCUSSION 479 A.8 RELATION BETWEEN THE
MODE MATCHING METHOD (MMM) AND THE METHOD OF LINES (MOL) FOR
INHOMOGENEOUS MEDIA 480 A.9 RECIPROCITY AND ITS CONSEQUENCES 483 B
TRANSMISSION LINE EQUATIONS 491 B.L TRANSMISSION LINE EQUATIONS IN FIELD
VECTOR NOTATION 491 B.2 DERIVATION OF THE MULTICONDUCTOR TRANSMISSION
LINE EQUATIONS 492 C SCATTERING PARAMETERS 497 D EQUIVALENT CIRCUITS FOR
DISCONTINUITIES 499 E APPROXIMATE METALLIC LOSS CALCULATION IN CONFORMAL
STRUCTURES 501 INDEX 503
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| adam_txt |
ANALYSIS OF ELECTROMAGNETIC FIELDS AND WAVES THE METHOD OF LINES
REINHOLD PREGLA FERNUNIVERSITAET WITH THE ASSISTANCE OF STEFAN HELFERT
JOHN WILEY & SONS, LTD RESEARCH STUDIES PRESS LIMITED CONTENTS PREFACE
XIII 1 THE METHOD OF LINES 1 1.1 INTRODUCTION 1 1.2 MOL: FUNDAMENTALS OF
DISCRETISATION 5 1.2.1 QUALITATIVE DESCRIPTION 5 1.2.2 QUANTITATIVE
DESCRIPTION OF THE DISCRETISATION 7 1.2.3 NUMERICAL EXAMPLE 11 2 BASIC
PRINCIPLES OF THE METHOD OF LINES 15 2.1 INTRODUCTION 15 2.2 BASIC
EQUATIONS 16 2.2.1 ANISOTROPIE MATERIAL PARAMETERS 16 2.2.2 RELATIONS
BETWEEN TRANSVERSAL ELECTRIC AND MAGNETIC FIELDS - GENERALISED
TRANSMISSION LINE (GTL) EQUATIONS . 19 2.2.3 RELATION TO THE ANALYSIS
WITH VECTOR POTENTIALS 21 2.2.4 GTL EQUATIONS FOR 2D STRUCTURES 22 2.2.5
SOLUTION OF THE GTL EQUATIONS 23 2.2.6 NUMERICAL EXAMPLES 25 2.3
EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS 26
2.3.1 INTRODUCTION 26 2.3.2 ANALYSIS EQUATIONS FOR EIGENMODES IN PLANAR
STRUCTURES . 30 2.3.3 EXAMPLES OF SYSTEM EQUATIONS 33 2.3.4
IMPEDANCE/ADMITTANCE TRANSFORMATION IN MULTILAYERED STRUCTURES 35 2.3.5
SYSTEM EQUATION IN TRANSFORMED DOMAIN 36 2.3.6 SYSTEM EQUATION IN
SPATIAL DOMAIN 38 2.3.7 MATRIX PARTITION TECHNIQUE: TWO EXAMPLES 40
2.3.8 NUMERICAL RESULTS 43 2.4 ANALYSIS OF PLANAR CIRCUITS 45 2.4.1
DISCRETISATION OF THE TRANSMISSION LINE EQUATIONS . . . . 45 2.4.2
DETERMINATION OF THE FIELD COMPONENTS 52 CONTENTS 2.5 FIELD AND
IMPEDANCE/ADMITTANCE TRANSFORMATION 52 2.5.1 INTRODUCTION 52 2.5.2
IMPEDANCE/ADMITTANCE TRANSFORMATION IN MULTILAYERED AND MULTISECTIONED
STRUCTURES 53 2.5.3 IMPEDANCE/ADMITTANCE TRANSFORMATION WITH FINITE
DIFFERENCES 61 2.5.4 STAHLE FIELD TRANSFORMATION THROUGH LAYERS AND
SECTIONS . 66 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS 73 3.1
INTRODUCTION 73 3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS 75 3.2.1 LSM
AND LSE MODES IN CIRCULAR WAVEGUIDE BENDS . . . . 76 3.2.2 LSM AND LSE
MODES IN STRAIGHT WAVEGUIDES 80 3.2.3 IMPEDANCE TRANSFORMATION AT
WAVEGUIDE INTERFACES . 82 3.2.4 NUMERICAL RESULTS FOR CONCATENATIONS
84 3.2.5 NUMERICAL RESULTS FOR WAVEGUIDE FUETERS 87 3.3 WAVEGUIDE
JUNCTIONS 90 3.3.1 E-PLANE JUNCTIONS 93 3.3.2 H-PLANE JUNCTIONS 96 3.3.3
ALGORITHM FOR GENERALISED SCATTERING PARAMETERS 98 3.3.4 SPECIAL
JUNCTIONS: E-PLANE 3-PORT JUNCTION 99 3.3.5 MATCHED E-PLANE BEND 100
3.3.6 ANALYSIS OF WAVEGUIDE BEND DISCONTINUITIES 103 3.3.7 SCATTERING
PARAMETERS 110 3.3.8 NUMERICAL RESULTS 110 3.4 ANALYSIS OF 3D WAVEGUIDE
JUNCTIONS 115 3.4.1 GENERAL DESCRIPTION 116 3.4.2 BASIC EQUATIONS 117
3.4.3 DISCRETISATION SCHEME FOR PROPAGATION BETWEEN A AND B 118 3.4.4
DISCONTINUITIES 121 3.4.5 COUPLING TO OTHER PORTS 122 3.4.6
IMPEDANCE/ADMITTANCE TRANSFORMATION 125 3.4.7 NUMERICAL RESULTS 126
ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES 131 4.1
INTRODUCTION 131 4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS 132
4.2.1 MATERIAL PARAMETERS IN A CYLINDRICAL COORDINATE SYSTEM . 132 4.2.2
GTL EQUATIONS FOR ^-DIRECTION 133 4.2.3 GTL EQUATIONS FOR / -DIRECTION
137 CONTENTS VII 4.2.4 ANALYSIS OF CIRCULAR (COAXIAL) WAVEGUIDES WITH
AZIMUTHALLY-MAGNETISED FERRITES AND AZIMUTHALLY- MAGNETISED SOLID PLASMA
. . . * 140 4.2.5 GTL EQUATIONS FOR R-DIRECTION 144 4.3 DISCRETISATION
OF THE FIELDS AND SOLUTIONS . . 150 4.3.1 EQUATIONS FOR PROPAGATION IN
Z-DIRECTION 150 4.3.2 EQUATIONS FOR PROPAGATION IN ^-DIRECTION 153 4.3.3
SOLUTION OF THE WAVE EQUATIONS IN Z- AND / -DIRECTION . . 155 4.3.4
EQUATIONS FOR PROPAGATION IN R-DIRECTION 155 4.4 SOLUTION IN RADIAL
DIRECTION 155 4.4.1 DISCRETISATION IN Z-DIRECTION - CIRCULAR DIELECTRIC
RESONATORS 155 4.4.2 DISCRETISATION IN Z-DIRECTION - PROPAGATION IN
/ -DIRECTION 162 4.4.3 DISCRETISATION IN 0-DIRECTION - EIGENMODES IN
CIRCULAR MULTILAYERED WAVEGUIDES 171 4.4.4 EIGENMODES OF CIRCULAR
WAVEGUIDES WITH MAGNETISED FERRITE OR PLASMA - DISCRETISATION IN
R-DIRECTION 186 4.4.5 WAVEGUIDE BENDS - DISCRETISATION IN R-DIRECTION
202 4.4.6 UNIAXIAL ANISOTROPIC FIBRES WITH CIRCULAR AND NONCIRCULAR
CROSS-SECTION - DISCRETISATION IN ^-DIRECTION 208 4.5 DISCONTINUITIES IN
CIRCULAR WAVEGUIDES - ONE-DIMENSIONAL DISCRETISATION IN RADIAL DIRECTION
216 4.5.1 INTRODUCTION 216 4.5.2 BASIC EQUATIONS FOR ROTATIONAL SYMMETRY
217 4.5.3 SOLUTION OF THE EQUATIONS FOR ROTATIONAL SYMMETRY . . . . 218
4.5.4 ADMITTANCE AND IMPEDANCE TRANSFORMATION 219 4.5.5 OPEN ENDING
CIRCULAR WAVEGUIDE 220 4.5.6 NUMERICAL RESULTS FOR DISCONTINUITIES IN
CIRCULAR WAVEGUIDES 223 4.5.7 NUMERICAL RESULTS FOR COAXIAL LINE
DISCONTINUITIES AND COAXIAL FILTER DEVICES 223 4.5.8 NON-ROTATIONAL
MODES IN CIRCULAR WAVEGUIDES 225 4.5.9 NUMERICAL RESULTS AND DISCUSSION
228 4.6 ANALYSIS OF GENERAL AXIALLY SYMMETRIC ANTENNAS WITH COAXIAL FEED
LINES 229 4.6.1 INTRODUCTION 229 4.6.2 THEORY 230 4.6.3 REGIONS WITH
CROSSED LINES 239 4.6.4 TWO SPECIAL CASES 244 4.6.5 PORT RELATIONS OF
SECTION D 247 4.6.6 NUMERICAL RESULTS 248 4.6.7 FURTHER STRUCTURES AND
REMARKS 249 VIII CONTENTS 4.7 DEVICES IN CYLINDRICAL COORDINATES
TWO-DIMENSIONAL DISCRETISATION 250 4.7.1 DISCRETISATION IN R- AND
^»-DIRECTION 250 4.7.2 NUMERICAL RESULTS 253 4.7.3 DISCRETISATION IN R-
AND Z-DIRECTION 253 4.7.4 DISCRETISATION IN $- AND Z-DIRECTION 254
4.7.5 GTL EQUATIONS FOR R-DIRECTION 255 5 ANALYSIS OF PERIODIC
STRUCTURES 267 5.1 INTRODUCTION 267 5.2 PRINCIPLE BEHAVIOUR OF PERIODIC
STRUCTURES . . 269 5.3 GENERAL THEORY OF PERIODIC STRUCTURES 274 5.3.1
PORT RELATIONS FOR GENERAL TWO PORTS 274 5.3.2 FLOQUET MODES FOR
SYMMETRIE PERIODS 274 5.3.3 CONCATENATION OF N SYMMETRIE PERIODS 280
5.3.4 FLOQUET MODES FOR UNSYMMETRIC PERIODS 281 5.3.5 SOME FURTHER
GENERAL RELATIONS IN PERIODIC STRUETURES . . 283 5.4 NUMERICAL RESULTS
FOR PERIODIC STRUCTURES IN ONE DIRECTION 286 5.5 ANALYSIS OF PHOTONIC
CRYSTALS 291 5.5.1 DETERMINATION OF BAND DIAGRAMS 291 5.5.2 WAVEGUIDE
CIREUITS IN PHOTONIC CRYSTALS 297 5.5.3 NUMERICAL RESULTS FOR PHOTONIC
CRYSTAL CIREUITS 299 6 ANALYSIS OF COMPLEX STRUCTURES 311 6.1 LAYERS OF
VARIABLE THICKNESS 311 6.1.1 INTRODUCTION 311 6.1.2 MATCHING CONDITIONS
AT CURVED INTERFACES 312 6.2 MICROSTRIP SHARP BEND 315 6.3 IMPEDANCE
TRANSFORMATION AT DISCONTINUITIES 318 6.3.1 IMPEDANCE TRANSFORMATION AT
CONCATENATED JUNETIONS . . 318 6.4 ANALYSIS OF PLANAR WAVEGUIDE
JUNCTIONS . . . . 320 6.4.1 MAIN DIAGONAL SUBMATRICES 322 6.4.2
OFF-DIAGONAL SUBMATRICES - COUPLING TO PERPENDICULAR PORTS 323 6.5
NUMERICAL RESULTS 327 6.5.1 DISCONTINUITIES IN MICROSTRIPS 328 6.5.2
WAVEGUIDE JUNETIONS 333 7 PRECISE RESOLUTION WITH AN ENHANCED AND
GENERALISED LINE ALGORITHM 345 7.1 INTRODUCTION 345 7.2 CROSSED
DISCRETISATION LINES AND CARTESIAN COORDINATES 346 7.2.1 THEORETICAL
BACKGROUND 346 CONTENTS IX 7.2.2 LINES IN VERTICAL DIRECTION 351 7.2.3
LINES IN HORIZONTAL DIRECTION 357 7.3 SPECIAL STRUCTURES IN CARTESIAN
COORDINATES . 361 7.3.1 GROOVE GUIDE 361 7.3.2 COPLANAR WAVEGUIDE 363
7.4 CROSSED DISCRETISATION LINES AND CYLINDRICAL COORDINATES 366 7.4.1
PRINCIPLE OF ANALYSIS 366 7.4.2 GENERAL FORMULAS FOR EIGENMODE
CALCULATION 366 7.4.3 DISCRETISATION LINES IN RADIAL DIRECTION 367 7.4.4
DISCRETISATION LINES IN AZIMUTHAL DIRECTION 368 7.4.5 COUPLING TO
NEIGHBOURING PORTS 369 7.4.6 STEPS OF THE ANALYSIS PROCEDURE 373 7.5
NUMERICAL RESULTS 373 8 WAVEGUIDE STRUCTURES WITH MATERIALS OF GENERAL
ANISOTROPY IN ARBITRARY ORTHOGONAL COORDINATE SYSTEMS 377 8.1
GENERALISED TRANSMISSION LINE EQUATIONS . . . . 377 8.1.1 MATERIAL
PROPERTIES 377 8.1.2 MAXWELL'S EQUATIONS IN MATRIX NOTATION 377 8.1.3
GENERALISED TRANSMISSION LINE EQUATIONS IN CARTESIAN COORDINATES FOR
GENERAL ANISOTROPIC MATERIAL 379 8.1.4 GENERALISED TRANSMISSION LINE
EQUATIONS FOR GENERAL ANISOTROPIC MATERIAL IN ARBITRARY ORTHOGONAL
COORDINATES 381 8.1.5 BOUNDARY CONDITIONS 383 8.1.6 INTERPOLATION
MATRICES 384 8.2 DISCRETISATION 385 8.2.1 TWO-DIMENSIONAL DISCRETISATION
385 8.2.2 ONE-DIMENSIONAL DISCRETISATION 386 8.3 SOLUTION OF THE
DIFFERENTIAL EQUATIONS 388 8.3.1 GENERAL SOLUTION 388 8.3.2 FIELD
RELATION BETWEEN INTERFACES A AND B 389 8.4 ANALYSIS OF WAVEGUIDE
JUNCTIONS AND SHARP BENDS WITH GENERAL ANISOTROPIC MATERIAL BY USING
ORTHOGONAL PROPAGATING WAVES 389 8.4.1 INTRODUCTION 389 8.4.2 THEORY 389
8.4.3 MAIN DIAGONAL SUBMATRICES 391 8.4.4 OFF-DIAGONAL SUBMATRICES -
COUPLING TO OTHER PORTS . . . 393 8.4.5 STEPS OF THE ANALYSIS PROCEDURE
398 8.5 NUMERICAL RESULTS 398 8.6 ANALYSIS OF WAVEGUIDE STRUCTURES IN
SPHERICAL COORDINATES 399 X CONTENTS 8.6.1 INTRODUCTION 399 8.6.2
GENERALISED TRANSMISSION LINE EQUATIONS IN SPHERICAL COORDINATES 400
8.6.3 ANALYSIS OF SPECIAL DEVICES - CONFORMAL ANTENNAS . . . . 408 8.6.4
ANALYSIS OF SPECIAL DEVICES - CONICAL HOERN ANTENNAS . . . 413 8.6.5
NUMERICAL RESULTS 419 8.7 ELLIPTICAL COORDINATES 420 8.7.1 GTL EQUATIONS
FOR Z-DIRECTION 421 8.7.2 GTL EQUATIONS FOR -DIRECTION 422 8.7.3 GTL
EQUATIONS FOR 77-DIRECTION 423 8.7.4 HOLLOW WAVEGUIDES WITH ELLIPTIC
CROSS-SECTION 424 9 SUMMARY AND PROSPECT FOR THE FUTURE 429 A
DISCRETISATION SCHEMES AND DIFFERENCE OPERATORS 433 A.L DETERMINATION OF
THE EIGENVALUES AND EIGENVECTORS OF P 433 A.L.L CALCULATION OF THE
MATRICES S 436 A.1.2 DERIVATION OF THE EIGENVALUES OF THE NEUMANN
PROBLEM FROM THOSE OF THE DIRICHLET PROBLEM 438 A.L.3 THE COMPONENT OF E
R AT AN ABRUPT TRANSITION 439 A.1.4 EIGENVALUES AND EIGENVECTORS FOR
PERIODIC BOUNDARY CONDITIONS 441 A.L.5 DISCRETISATION FOR NON-IDEAL
PLACES OF THE BOUNDARIES . .442 A.2 ABSORBING BOUNDARY CONDITIONS (ABCS)
444 A.2.1 INTRODUCTION 1 444 A.2.2 FACTORISATION OF THE HELMHOLTZ
EQUATION 445 A.2.3 PADE APPROXIMATION 446 A.2.4 POLYNOMIAL
APPROXIMATIONS 447 A.2.5 CONSTRUCTION OF THE DIFFERENCE OPERATOR FOR
ABCS . . . . 449 A.2.6 SPECIAL BOUNDARY CONDITIONS (SBCS) 450 A.2.7
NUMERICAL RESULTS 450 A.2.8 ABCS FOR CYLINDRICAL COORDINATES 453 A.2.9
PERIODIC BOUNDARY CONDITIONS 455 A.3 HIGHER-ORDER DIFFERENCE OPERATORS
[11] 456 A.3.1 INTRODUCTION 3 456 A.3.2 THEORY 457 A.3.3 NUMERICAL
RESULTS 459 A.4 NON-EQUIDISTANT DISCRETISATION 460 A.4.1 INTRODUCTION
460 A.4.2 THEORY 460 A.4.3 INTERPOLATION 464 A.4.4 NUMERICAL RESULTS 466
CONTENTS XI A.5 REFLECTIONS IN DISCRETISATION GRIDS 468 A.5.1
INTRODUCTION 468 A.5.2 DISPERSION RELATIONS 468 A.5.3 REFLECTIONS AT
DISCRETISATION TRANSITIONS 471 A.6 FIELD EXTRAPOLATION FOR NEUMANN
BOUNDARY CONDITIONS 475 A.7 ABOUT THE NATURE OF THE METHOD OF LINES .
476 A.7.1 INTRODUCTION 476 A.7.2 RELATION BETWEEN SHIELDED STRUCTURES
AND PERIODIC ONES . 477 A.7.3 METHOD OF LINES AND DISCRETE FOURIER
TRANSFORMATION . . 478 A.7.4 DISCUSSION 479 A.8 RELATION BETWEEN THE
MODE MATCHING METHOD (MMM) AND THE METHOD OF LINES (MOL) FOR
INHOMOGENEOUS MEDIA 480 A.9 RECIPROCITY AND ITS CONSEQUENCES 483 B
TRANSMISSION LINE EQUATIONS 491 B.L TRANSMISSION LINE EQUATIONS IN FIELD
VECTOR NOTATION 491 B.2 DERIVATION OF THE MULTICONDUCTOR TRANSMISSION
LINE EQUATIONS 492 C SCATTERING PARAMETERS 497 D EQUIVALENT CIRCUITS FOR
DISCONTINUITIES 499 E APPROXIMATE METALLIC LOSS CALCULATION IN CONFORMAL
STRUCTURES 501 INDEX 503 |
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| author | Pregla, Reinhold 1938- |
| author_GND | (DE-588)120489414 |
| author_facet | Pregla, Reinhold 1938- |
| author_role | aut |
| author_sort | Pregla, Reinhold 1938- |
| author_variant | r p rp |
| building | Verbundindex |
| bvnumber | BV023225198 |
| callnumber-first | T - Technology |
| callnumber-label | TK7872 |
| callnumber-raw | TK7872.M25 |
| callnumber-search | TK7872.M25 |
| callnumber-sort | TK 47872 M25 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | UH 3000 |
| ctrlnum | (OCoLC)604893639 (DE-599)HBZHT015547469 |
| dewey-full | 530.14/1 530.141 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/1 530.141 |
| dewey-search | 530.14/1 530.141 |
| dewey-sort | 3530.14 11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
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| id | DE-604.BV023225198 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:17:40Z |
| indexdate | 2024-07-09T21:13:31Z |
| institution | BVB |
| isbn | 9780470033609 |
| language | English |
| lccn | 2008003751 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016411032 |
| oclc_num | 604893639 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XI, 507 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Wiley [u.a.] |
| record_format | marc |
| spelling | Pregla, Reinhold 1938- Verfasser (DE-588)120489414 aut Analysis of electromagnetic fields and waves the method of lines Reinhold Pregla Chichester Wiley [u.a.] 2008 XI, 507 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index CHAMP ÉLECTROMAGNÉTIQUE, CHAMP MAGNÉTIQUE DES COURANTS ELECTROMAGNETIC FIELDS, MAGNETIC FIELD OF CURRENTS ELEKTROMAGNETISCHES FELD, MAGNETISCHES FELD VON STRÖMEN LINIENMETHODE (NUMERISCHE MATHEMATIK) METHOD OF LINES (NUMERICAL MATHEMATICS) TECHNIQUE LINÉAIRE (ANALYSE NUMÉRIQUE) Elektromagnetische Welle - Partielle Differentialgleichung idsbb Elektromagnetisches Feld - Partielle Differentialgleichung idsbb Partielle Differentialgleichung - Elektromagnetische Welle idsbb Partielle Differentialgleichung - Elektromagnetisches Feld idsbb Mathematik Mathematisches Modell Electromagnetic devices Mathematical models Electromagnetism Mathematics Differential equations, Partial Numerical solutions http://www.loc.gov/catdir/enhancements/fy0808/2008003751-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016411032&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pregla, Reinhold 1938- Analysis of electromagnetic fields and waves the method of lines CHAMP ÉLECTROMAGNÉTIQUE, CHAMP MAGNÉTIQUE DES COURANTS ELECTROMAGNETIC FIELDS, MAGNETIC FIELD OF CURRENTS ELEKTROMAGNETISCHES FELD, MAGNETISCHES FELD VON STRÖMEN LINIENMETHODE (NUMERISCHE MATHEMATIK) METHOD OF LINES (NUMERICAL MATHEMATICS) TECHNIQUE LINÉAIRE (ANALYSE NUMÉRIQUE) Elektromagnetische Welle - Partielle Differentialgleichung idsbb Elektromagnetisches Feld - Partielle Differentialgleichung idsbb Partielle Differentialgleichung - Elektromagnetische Welle idsbb Partielle Differentialgleichung - Elektromagnetisches Feld idsbb Mathematik Mathematisches Modell Electromagnetic devices Mathematical models Electromagnetism Mathematics Differential equations, Partial Numerical solutions |
| title | Analysis of electromagnetic fields and waves the method of lines |
| title_auth | Analysis of electromagnetic fields and waves the method of lines |
| title_exact_search | Analysis of electromagnetic fields and waves the method of lines |
| title_exact_search_txtP | Analysis of electromagnetic fields and waves the method of lines |
| title_full | Analysis of electromagnetic fields and waves the method of lines Reinhold Pregla |
| title_fullStr | Analysis of electromagnetic fields and waves the method of lines Reinhold Pregla |
| title_full_unstemmed | Analysis of electromagnetic fields and waves the method of lines Reinhold Pregla |
| title_short | Analysis of electromagnetic fields and waves |
| title_sort | analysis of electromagnetic fields and waves the method of lines |
| title_sub | the method of lines |
| topic | CHAMP ÉLECTROMAGNÉTIQUE, CHAMP MAGNÉTIQUE DES COURANTS ELECTROMAGNETIC FIELDS, MAGNETIC FIELD OF CURRENTS ELEKTROMAGNETISCHES FELD, MAGNETISCHES FELD VON STRÖMEN LINIENMETHODE (NUMERISCHE MATHEMATIK) METHOD OF LINES (NUMERICAL MATHEMATICS) TECHNIQUE LINÉAIRE (ANALYSE NUMÉRIQUE) Elektromagnetische Welle - Partielle Differentialgleichung idsbb Elektromagnetisches Feld - Partielle Differentialgleichung idsbb Partielle Differentialgleichung - Elektromagnetische Welle idsbb Partielle Differentialgleichung - Elektromagnetisches Feld idsbb Mathematik Mathematisches Modell Electromagnetic devices Mathematical models Electromagnetism Mathematics Differential equations, Partial Numerical solutions |
| topic_facet | CHAMP ÉLECTROMAGNÉTIQUE, CHAMP MAGNÉTIQUE DES COURANTS ELECTROMAGNETIC FIELDS, MAGNETIC FIELD OF CURRENTS ELEKTROMAGNETISCHES FELD, MAGNETISCHES FELD VON STRÖMEN LINIENMETHODE (NUMERISCHE MATHEMATIK) METHOD OF LINES (NUMERICAL MATHEMATICS) TECHNIQUE LINÉAIRE (ANALYSE NUMÉRIQUE) Elektromagnetische Welle - Partielle Differentialgleichung Elektromagnetisches Feld - Partielle Differentialgleichung Partielle Differentialgleichung - Elektromagnetische Welle Partielle Differentialgleichung - Elektromagnetisches Feld Mathematik Mathematisches Modell Electromagnetic devices Mathematical models Electromagnetism Mathematics Differential equations, Partial Numerical solutions |
| url | http://www.loc.gov/catdir/enhancements/fy0808/2008003751-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016411032&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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