Applied frequency-domain electromagnetics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hoboken, New Jersey
John Wiley & Sons
2016
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| Subjects: | |
| Online Access: | FRO01 UBG01 Volltext Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index TEM waves -- Waveguides -- Potentials, concepts, and theorems -- Canonical problems -- Method of moments -- Finite element method -- Uniform theory of diffraction -- Physical theory of diffraction -- Scalar and dyadic Green's functions -- Green's functions construction I -- Green's functions construction II. |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 1118940547 1119127440 9781118940549 9781119127444 |
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| 100 | 1 | |a Paknys, Robert |0 (DE-588)1180531396 |4 aut | |
| 245 | 1 | 0 | |a Applied frequency-domain electromagnetics |c Robert Paknys |
| 264 | 1 | |a Hoboken, New Jersey |b John Wiley & Sons |c 2016 | |
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a TEM waves -- Waveguides -- Potentials, concepts, and theorems -- Canonical problems -- Method of moments -- Finite element method -- Uniform theory of diffraction -- Physical theory of diffraction -- Scalar and dyadic Green's functions -- Green's functions construction I -- Green's functions construction II. | ||
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| 650 | 4 | |a Electromagnetism / Mathematics | |
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| adam_text | Titel: Applied frequency-domain electromagnetics
Autor: Paknys, Robert
Jahr: 2016
Contents
About the Author xvii
Preface xix
Acknowledgements xxi
1 Background 1
1.1 Field Laws 1
1.2 Properties of Materials 2
1.3 Types of Currents 3
1.4 Capacitors, Inductors 4
1.5 Differential Form 6
1.6 Time-Harmonic Fields 7
1.7 Sufficient Conditions 8
1.8 Magnetic Currents, Duality 9
1.9 Poynting s Theorem 10
1.10 Lorentz Reciprocity Theorem 12
1.11 Friis and Radar Equations 13
1.12 Asymptotic Techniques 15
1.13 Further Reading 16
References 17
Problems 17
2 Transverse Electromagnetic Waves 20
2.1 Introduction 20
2.2 Plane Waves 21
2.2.7 Lossy Medium 23
2.2.2 Polarization 26
2.3 Oblique Plane Waves 27
2.4 Plane-Wave Reflection and Transmission 28
2.4.1 Perpendicular Polarization 29
2.4.2 Parallel Polarization 31
2.4.3 The Brewster Angle 32
2.4.4 Total Internal Reflection 33
2.5 Multilayer Slab 35
Contents
2.6 Impedance Boundary Condition 37
2.6.1 Penetrable Boundary 37
2.6.2 Impenetrable Boundary 39
2.7 Transmission Lines 43
2.7.1 Characteristic Impedance 46
2.7.2 LC Ladder 46
2.7.3 Small Losses 49
2.7.4 Transmission Line Parameters 51
2.7.5 Microstrip, Stripline and Coplanar Lines 52
2.7.6 Reflection and Transmission on a Transmission Line 55
2.7.7 Physical Meaning of Z0 57
2.8 Transverse Equivalent Network 59
2.9 Absorbers 60
2.10 Phase and Group Velocity 61
2.11 Further Reading 64
References 64
Problems 64
3 Waveguides and Resonators 69
3.1 Separation of Variables 69
3.2 Rectangular Waveguide 71
3.2.1 Dominant TE10 Mode 74
3.2.2 Fourier Series of Modes 76
3.3 Cylindrical Waves 78
3.4 Circular Waveguide 79
3.4.1 Coaxial Line 81
3.5 Waveguide Excitation 82
3.6 2D Waveguides 83
3.6.1 Parallel-Plate Waveguide 83
3.6.2 Dielectric Slab on PEC Ground 85
3.6.3 Dielectric Slab on PMC Ground 90
3.6.4 Ungrounded Dielectric Slab 91
3.7 Transverse Resonance Method 92
3.8 Other Waveguide Types 95
3.8.1 Ridge Waveguide 95
3.8.2 Finline 97
3.9 Waveguide Discontinuities 99
3.9.1 Irises and Posts 99
3.9.2 Waveguide Step 102
3.10 Mode Matching 102
3.10.1 H-Plane Step 102
3.10.2 Inductive Iris 106
3.11 Waveguide Cavity 109
3.11.1 Rectangular Cavity Q 110
3.11.2 Cylindrical Cavity Resonator 113
3.11.3 Cylindrical Cavity Q 113
3.11.4 Dielectric Resonator 114
3.12 Perturbation Method 116
3.12.1 Material Perturbation 116
3.12.2 Geometry Perturbation 119
Contents
3.13 Further Reading 121
References 121
Problems 122
4 Potentials, Concepts and Theorems 129
4.1 Vector Potentials A and F 129
4.2 Hertz Potentials 134
4.3 Vector Potentials and Boundary Conditions 135
4.3.1 AzandFz 135
4.3.2 Hybrid Modes, Ay and Fy 138
4.4 Uniqueness Theorem 142
4.5 Radiation Condition 144
4.6 Image Theory 144
4.7 Physical Optics 146
4.8 Surface Equivalent 147
4.9 Love s Equivalent 151
4.10 Induction Equivalent 153
4.11 Volume Equivalent 154
4.12 Radiation by Planar Sources 156
4.13 2D Sources and Fields 157
4.13.1 z-Directed Source 157
4.13.2 Transverse Source 158
4.13.3 Radiation Integrals 158
4.13.4 2D and 3D Potentials 159
4.14 Derivation of Vector Potential Integral 160
4.15 Solution Without Using Potentials 162
4.16 Further Reading 164
References 164
Problems 164
5 Canonical Problems 169
5.1 Cylinder 169
5.1.1 Plane Wave Incidence 169
5.1.2 Line Source Incidence 172
5.1.3 TESlot 174
5.1.4 TM Dielectric Cylinder 175
5.2 Wedge 175
5.2.1 TMCase 176
5.2.2 TECase 178
5.3 The Relation Between 2D and 3D Solutions 179
5.3.1 Magnetic Dipole on a Cylinder 180
5.3.2 Electric Dipole Near a Wedge 182
5.3.3 Reciprocity-Based Solutions 183
5.4 Spherical Waves 184
5.4.1 Scattering by a Sphere 186
5.5 Method of Stationary Phase 190
5.6 Further Reading 192
References 193
Problems 193
Contents
6 Method of Moments 198
6.1 Introduction 198
6.2 General Concepts 198
6.2.1 Point Matching 199
6.2.2 Galerkin s Method 199
6.2.3 Fredholm Integral Equation 200
6.3 2D Conducting Strip 201
6.3.1 TMCase 201
6.3.2 TE Case 204
6.3.3 Self-Impedance Term for the TE Strip 206
6.3.4 Other Source Types 207
6.4 2D Thin Wire MoM 209
6.4.1 One Wire 209
6.4.2 WireArray 210
6.5 Periodic 2D Wire Array 212
6.5.1 Poisson Summation 212
6.5.2 Scattering Formulation 213
6.5.3 Numerical Considerations 215
6.6 3D Thin Wire MoM 216
6.6.1 The Scattering Problem 217
6.6.2 A Reciprocal Equivalent 218
6.6.3 The Antenna Problem 219
6.6.4 Numerical Considerations 221
6.7 EFIEandMFIE 221
6.8 Internal Resonances 223
6.9 PMCHWT Formulation 224
6.10 Basis Functions 225
6.10.1 Wires 226
6.10.2 Surfaces 226
6.10.3 Volumes 227
6.11 Further Reading 227
References 228
Problems 228
7 Finite Element Method 233
7.1 Introduction 233
7.2 Laplace s Equation 233
7.3 Piecewise-Planar Potential 234
7.4 Stored Energy 236
7.5 Connection of Elements 236
7.6 Energy Minimization 239
7.7 Natural Boundary Conditions 240
7.8 Capacitance and Inductance 243
7.9 Computer Program 244
7.10 Poisson s Equation 246
7.11 Scalar Wave Equation 249
7.12 Galerkin s Method 253
7.12.1 Discussion 254
7.12.2 Variational Method 256
7.13 Vector Wave Equation 257
Contents xi
7.14 Other Element Types 257
7.14.1 Node-Based Elements 257
7.14.2 Spurious Modes 259
7.14.3 Edge-Based Elements 259
7.15 Radiating Structures 261
7.15.1 Absorbing Boundary Condition 261
7.15.2 Artificial Absorber 263
7.15.3 Boundary Element Method 263
7.16 Further Reading 264
References 264
Problems 265
8 Uniform Theory of Diffraction 268
8.1 Fermat s Principle 268
8.2 2D Fields 269
8.2.1 Reflection 269
8.2.2 Wedge Diffraction 270
8.2.3 Some Rules for Wedge Diffraction 273
8.2.4 Behaviour Near ISB 275
8.3 Scattering and GTD 276
8.4 3D Fields 278
8.4.1 Slot Antenna on a Finite Ground Plane 280
8.4.2 Monopole Antenna on a Finite Ground Plane 282
8.4.3 Astigmatic Fields 283
8.4.4 Reflection 284
8.4.5 Edge Diffraction 285
8.4.6 Curved Edge 286
8.4.7 Monopole on a Disc 286
8.5 Curved Surface Reflection 288
8.5.1 2D Reflection 288
8.5.2 3D Reflection 289
8.6 Curved Wedge Face 291
8.7 Non-Metallic Wedge 291
8.8 Slope Diffraction 292
8.9 Double Diffraction 293
8.10 GTD Equivalent Edge Currents 294
8.11 Surface Ray Diffraction 297
8.11.1 Scattering 297
8.11.2 Radiation 299
8.11.3 Coupling 302
8.11.4 2D and 3D Radiation 304
8.12 Further Reading 306
References 306
Problems 307
9 Physical Theory of Diffraction 317
9.1 PO and an Edge 317
9.2 Asymptotic Evaluation 318
9.2.1 PO Endpoint Correction 321
xii Contents
9.2.2 Relationship Between PTD and GTD 322
9.2.3 General Formulas ill
9.3 Reflector Antenna 323
9.3.1 POPart 324
9.3.2 PTD Part 325
9.4 RCSofaDisc 327
9.4.1 POPart 327
9.4.2 PTD Part 328
9.5 PTD Equivalent Edge Currents 330
9.6 Further Reading 331
References 331
Problems 331
10 Scalar and Dyadic Green s Functions 335
10.1 Impulse Response 335
10.2 Green s Function for A 337
10.3 2D Field Solutions Using Green s Functions 338
10.3.1 2D TM Fields 339
10.3.2 2D TE Fields 340
10.3.3 Free-Space Interpretation 340
10.3.4 Special Green s Functions 341
10.4 3D Dyadic Green s Functions 342
10.5 Some Dyadic Identities 343
10.6 Solution Using a Dyadic Green s Function 344
10.7 Symmetry Property of G 345
10.8 Interpretation of the Radiation Integrals 346
10.9 Free Space Dyadic Green s Function 347
10.10 Dyadic Green s Function Singularity 348
10.10.1 Derivation of Equation (10.71) 349
10.11 Dielectric Rod 350
10.11.1 Numerical Considerations 351
10.12 Further Reading 352
References 352
Problems 352
11 Green s Functions Construction I 355
11.1 Sturm-Liouville Problem 355
11.2 Green s Second Identity 356
11.3 Hermitian Property 356
11.4 Particular Solution 357
11.5 Properties of the Green s Function 357
11.6 UT Method 358
11.6.1 Independent Solutions of the SLP 361
11.7 Discrete and Continuous Spectra 362
11.7.1 Complete Set of Eigenfunctions 363
11.7.2 Another Representation of 5{x — x ) 364
11.7.3 A Discrete Spectrum of Eigenfunctions 364
11.7.4 A Continuous Spectrum of Eigenfunctions 366
Contents
11.8 Generalized Separation of Variables 368
11.8.1 Reduction to 2D 372
11.8.2 Relation Between 2D and 3D 375
11.9 Further Reading 376
References 376
Problems 376
12 Green s Function Construction II 381
12.1 Sommerfeld Integrals 381
12.2 The Function k(v) = Vfc2 - v2 383
12.3 The Transformation v = k sin w 385
12.4 Saddle Point Method 387
12.4.1 First-Order Saddle Point 389
12.4.2 Pole Near Saddle Point 392
12.5 SDP Branch Cuts 393
12.6 Grounded Dielectric Slab 395
12.6.1 Saddle Point Evaluation ofGs 397
12.6.2 Surface and Leaky Waves 400
12.6.3 TE Case 402
12.6.4 Summary 403
12.7 Half Space 403
12.7.1 Asymptotic Evaluation 406
72.7.2 Vertical Electric Dipole 409
12.8 Circular Cylinder 411
12.8.1 Creeping Waves 414
72.5.2 Residue Series 417
12.8.3 Other Boundary Conditions 418
12.9 Strip Grating on a Dielectric Slab 419
12.9.1 Spectral Domain 421
72.9.2 Floquet Harmonics 422
12.9.3 Reflection 425
72.9.4 Discussion 428
72.9.5 Other Related Cases 430
12.10 Further Reading 430
References 431
Problems 431
A Constants and Formulas 435
A. 1 Constants 435
A.2 Definitions 435
A.3 Trigonometry 436
A.4 The Impulse Function 437
Reference 437
B Coordinates and Vector Calculus 438
B.l Coordinate Transformations 438
B.2 Volume and Surface Elements 438
B.3 Vector Derivatives 440
Contents
B.4 Vector Identities 441
B.5 Integral Relations 442
B.5.1 Green s Identities 443
B.5.2 Helmholtz s Theorem 444
Reference 444
C Bessel s Differential Equation 445
C.l Bessel Functions 445
C.2 Roots of TJM (a;) = 0 448
C.3 Integrals 448
C.4 Orthogonality 449
C.5 Recursion Relations 449
C.6 Gamma Function 449
C.7 Wronskians 450
C.8 Spherical Bessel Functions 451
References 452
D Legendre s Differential Equation 453
D.l Legendre Functions 453
D.2 Associated Legendre Functions 454
D.3 Orthogonality 454
D.4 Recursion Relations 455
D.5 Spherical Form 455
Reference 455
E Complex Variables 456
E.l Residue Calculus 456
E.2 Branch Cuts 457
References 458
F Compilers and Programming 459
F.l Getting Started 459
F.l.l Running Linux 460
F.l.2 Running Windows 461
F.l.3 Running OSX 461
F.2 Fortran 90 461
7^2.7 External Subprograms 462
7^2.2 Internal Subprograms 463
7^2.5 Modules 463
F.2.4 Shared Data 464
7^2.5 Integer, Real and Complex Numbers 465
F.2.6 Arrays 465
7^2.7 Input/Output 466
7^2.8 Format Statement 468
F.3 More on the OS 468
F.3.1 Redirection and Pipes 468
F.3.2 Crash Messages 469
F.3.3 Object Files 469
F.3.4 Libraries 470
F.3.5 Paths and Dots 470
Contents______________________ ________________________________________________xv
F.4 Plotting 470
F.5 Further Reading 471
References 471
G Numerical Methods 473
G. 1 Numerical Integration 473
G.2 Root Finding 476
G.3 Matrix Equations 478
G.4 Matrix Eigenvalues 480
G.5 Bessel Functions 480
G.6 Legendre Polynomials 481
References 481
H Software Provided 483
Index 485
|
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| publisher | John Wiley & Sons |
| record_format | marc |
| spelling | Paknys, Robert (DE-588)1180531396 aut Applied frequency-domain electromagnetics Robert Paknys Hoboken, New Jersey John Wiley & Sons 2016 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index TEM waves -- Waveguides -- Potentials, concepts, and theorems -- Canonical problems -- Method of moments -- Finite element method -- Uniform theory of diffraction -- Physical theory of diffraction -- Scalar and dyadic Green's functions -- Green's functions construction I -- Green's functions construction II. Electromagnetic waves fast Electromagnetism / Mathematics fast SCIENCE / Physics / Electricity bisacsh SCIENCE / Physics / Electromagnetism bisacsh Mathematik Electromagnetic waves Electromagnetism / Mathematics Erscheint auch als Druck-Ausgabe 978-1-118-94056-3 Erscheint auch als Druckausgabe 978-1-118-94056-3 https://onlinelibrary.wiley.com/doi/book/10.1002/9781119127444 Verlag URL des Erstveröffentlichers Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029237138&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Paknys, Robert Applied frequency-domain electromagnetics Electromagnetic waves fast Electromagnetism / Mathematics fast SCIENCE / Physics / Electricity bisacsh SCIENCE / Physics / Electromagnetism bisacsh Mathematik Electromagnetic waves Electromagnetism / Mathematics |
| title | Applied frequency-domain electromagnetics |
| title_auth | Applied frequency-domain electromagnetics |
| title_exact_search | Applied frequency-domain electromagnetics |
| title_full | Applied frequency-domain electromagnetics Robert Paknys |
| title_fullStr | Applied frequency-domain electromagnetics Robert Paknys |
| title_full_unstemmed | Applied frequency-domain electromagnetics Robert Paknys |
| title_short | Applied frequency-domain electromagnetics |
| title_sort | applied frequency domain electromagnetics |
| topic | Electromagnetic waves fast Electromagnetism / Mathematics fast SCIENCE / Physics / Electricity bisacsh SCIENCE / Physics / Electromagnetism bisacsh Mathematik Electromagnetic waves Electromagnetism / Mathematics |
| topic_facet | Electromagnetic waves Electromagnetism / Mathematics SCIENCE / Physics / Electricity SCIENCE / Physics / Electromagnetism Mathematik |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781119127444 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029237138&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT paknysrobert appliedfrequencydomainelectromagnetics |