Computational electromagnetics for RF and microwave engineering:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XXII, 505 S. graph. Darst. |
| ISBN: | 0521518911 9780521518918 |
Staff View
MARC
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| 245 | 1 | 0 | |a Computational electromagnetics for RF and microwave engineering |c David B. Davidson |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2011 | |
| 300 | |a XXII, 505 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Electromagnetic fieldsxMathematical models | |
| 650 | 4 | |a RadioxMathematics | |
| 650 | 4 | |a Microwave devices | |
| 650 | 4 | |a Electronic apparatus and appliances | |
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| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021140548&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
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| adam_text | Contents)
Preface to the second edition page
xv
Preface to the first edition
xvii
Acknowledgements
xxi
To the reader
xxiii
List of notation
xxiv
An overview of computational electromagnetics for RF and microwave
applications l
1.1
Introduction
1
1.2
Full-wave
CEM
techniques
3
1.3
The method of moments (MoM)
8
1.4
The finite difference time domain (FDTD) method
10
1.5
The finite element method
(FEM)
13
1.6
Other methods
16
1.6.1
Transmission line matrix (TLM) method
16
1.6.2
The method of lines (MoL)
17
1.6.3
The generalized
multinole
technique (GMT)
17
1.7
The
CEM
modelling process
17
1.8
Verification and validation
19
1.8
J
An example: a frequency selective surface
20
1.9
Convergence and extrapolation
23
1.10
Extending the limits of full-wave
CEM
methods
24
1.11
CEM:
the future
25
1.12
A road map of this book
28
References
29
The finite difference time domain method: a one-dimensional introduction
32
David B. Davidson and James T.
Aberle
2.1
Introduction
32
2.2
An overview of finite differences
33
2.2.1
Partial differential equations
33
2.2.2
The basic solution procedure
34
2.2.3
Approximating derivatives using finite differences
34
viii Contents
23
A very brief history of the FDTD
36
2.4
A one-dimensional introduction to the FDTD
37
2.4.1
A one-dimensional model problem: a lossless transmission line
37
2.4.2
FDTD solution of the one-dimensional lossless transmission line
problem
40
2.4.3
Accuracy, convergence, consistency and stability of the method
46
2.5
Obtaining wideband data using the FDTD
52
2.5.1
The Gaussian pulse
52
2.5.2
The Gaussian derivative pulse
54
2.5.3
A polynomial pulse
54
2.5.4
The ID transmission line revisited from a wideband perspective
57
2.5.5
Estimating the Fourier transform
60
2.5.6
Simulation using Gaussian and Gaussian derivative pulses
62
2.6
Numerical dispersion in FDTD simulations
64
2.6.1
Dispersion
64
2.6.2
Derivation of the dispersion equation
66
2.6.3
Some closing comments on dispersion in FDTD grids
67
2.7
The
Courant
stability criterion derived by
von
Neumann analysis
69
2.8
Conclusion
71
References
71
Problems and assignments
72
The finite difference time domain method in two and three dimensions
74
3.1
Introduction
74
3.2
The 2D FDTD algorithm
74
3.2.1
Electromagnetic scattering problems
75
3.2.2
The
ТЕг
formulation
75
3.2.3
Including a source: the scattered/total field formulation
79
3.2.4
Meshing the scatterer
81
3.2.5
Absorbing boundary conditions
82
3.2.6
Developing the simulator
84
3.2.7
FDTD analysis of
TE
scattering from a PEC cylinder
91
3.2.8
Computational aspects
96
3.3
The PML absorbing boundary condition
97
3.3.1
An historical perspective
97
3.3.2
A numerical absorber
-
pre-Berenger
99
3.33
Berenger s split field PML formulation
101
3 3.4
The FDTD update equations for a PML
102
3.3.5
PML implementation issues
104
3 3.6
Results for a split field PML
105
3.3.7
Drawbacks oftheBerenger PML
106
3.3.8
Uniaxial
absorber theory
107
33.9
Stretched coordinate theory
108
Contents
¡χ
3
.3.10
Further reading on PMLs
108
3.3.11
Conclusions on the PML
109
3.4
The
3D
FDTD algorithm
109
3.4.1
The Yee cell in
3D 110
3.4.2
An application: determining the resonant frequencies of a
PEC cavity
114
3.4.3
Dispersion in two and three dimensions
115
3.5
Commercial implementations
117
3.5.1
An introductory example
-
a waveguide through
118
3.5.2
A waveguide filter
120
3.5.3
A microstrip
patch antenna
121
3.6
Further reading
124
3.7
Conclusions
125
References
126
Problems and assignments
127
A one-dimensional introduction to the method of moments: modelling thin wires
and infinite cylinders
130
4.1
Introduction
130
4.2
An electrostatic example
131
4.2.1
Some simplifying approximations
132
4.2.2
Approximating the charge
133
4.2.3
Collocation
134
4.2.4
Solving the system of linear equations
135
4.2.5
Results and discussion
136
4.3
Thin-wire electrodynamics and the MoM
137
4.3.1
The electrically thin
dipole
137
4.3.2
A caveat regarding thin-wire formulations
144
4.4
More on basis functions
144
4.4.1
The numerical electromagnetic code (NEC)
—
method of moments
144
4.4.2
NEC basis functions
145
4.4.3
Piecewise linear basis functions
147
4.4.4
Junction treatments with piecewise linear basis functions
147
4.5
The method of weighted residuals
150
4.6
Scattering from infinite cylinders
152
4.6.1
General derivation of surface integral equation operators
153
4.6.2
The EFIE for TM scattering
154
4.6.3
MoM solution of EFIE for TM scattering
155
4.6.4
Coding in
Matlab
for right circular PEC cylinder
157
4.6.5
Post-processing: echo width and radar cross-section
157
4.6.6
Discussion, and the
Fredholm
alternative
159
4.7
Further reading
160
4.8
Conclusions
162
Contents
References
162
Problems
and assignments
164
5
The application of the FEKO and NEC-2 codes to thin-wire antenna modelling
166
5.1
Introduction
166
5.2
An introductory example: the
dipole
168
5.3
A wire antenna array: the Yagi-Uda antenna
172
5.4
A log-periodic antenna
177
5.5
An axial mode helix antenna
185
5.6
A Wu-King loaded
dipole
193
5.7
Conclusions
199
References
199
6
The method of moments for surface modelling
201
6.1
Electric and magnetic field integral equations
201
6.2
The Rao-Wilton-Glisson (RWG) element
203
6.3
A mixed potential electric field integral equation for electromagnetic
scattering by surfaces of arbitrary shape
206
6.3.1
The electric field integral equation (EFIE)
206
6.3.2
The RWG basis function revisited
207
6.3.3
The MoM formulation
208
6.3.4
Derivation of the matrix entries
210
6.3.5
Numerical approximation of the matrix entries
211
6.3.6
Coding issues
214
6.3.7
Verification
215
6.3.8
Discussion
217
6.4
Some examples of surface modelling
218
6.4.1
Scattering from a sphere
218
6.4.2
The analytical solution
222
6.5
Modelling homogeneous material bodies using equivalent currents
224
6.6
Scattering from a dielectric sphere
226
6.7
Computational implications of surface and volume modelling with
the MoM
228
6.8
Hybrid MoM/asymptotic techniques for large problems
230
6.8.1
Introduction
230
6.8.2
Moment method/asymptotic hybrids
231
6.8.3
Physical optics and MoM hybridization
231
6.8.4
A FEKO example using the MoM/PO hybrid
234
6.9
Other approaches for the solution of electromagnetically large problems
237
6.9.1
Background
237
6.9.2
High-performance computing
238
6.9.3
FFT-based methods
248
6.9.4
The fast multipole method
251
Contents xi
6.10
Further reading
258
6.11
Concluding comments
260
References
260
Problem
263
7
The method of moments and stratified media: theory
264
7.1
Introduction
264
7.2
Dyadic Green functions: some introductory notes
264
7.3
A static example of a stratified medium problem: the grounded
dielectric slab
266
7.4
The
Sommerfeld
potentials
269
7.4.1
A brief revision of potential theory
269
7.4.2
The
Sommerfeld
potentials
270
7.4.3
An example: derivation of Gx/ for single-layer
microstrip
273
7.4.4
The scalar potential and the mixed potential integral equation
276
7.4.5
Surface waves
277
7.5
Evaluating the
Sommerfeld
integrals
278
7.5.1
Approximate evaluation of the
Sommerfeld
integrals
278
7.5.2
Numerical integration in the spectral domain
279
7.5.3
Locating the pole
287
7.5.4
General source locations
288
7.5.5
Some results for the
Sommerfeld
potentials
289
7.6
MoM solution using the
Sommerfeld
potentials
289
7.7
Further reading
297
References
298
Assignments
299
8
The method of moments and stratified media: practical applications of a
commercial code
300
8.
1 Printed antenna and
microstrip
technology: a brief review
300
8.2
A simple patch antenna
301
8.3
Mutual coupling between
microstrip
antennas
303
8.4
An array with scan blindness
308
8.5
A concluding discussion of stratified media formulations
314
References
315
9
A one-dimensional introduction to the finite element method
317
9.1
Introduction
317
9.2
The variarional boundary value problem: the transmission line
problem revisited
318
9.2.1
The model problem
319
9.2.2
The
equivalent
variatìonal
functional
320
xij Contents
9.2.3
The finite
element
approximation
of the functional
321
9.2.4
Evaluating the elemental matrices
323
9.2.5
Assembling the system
325
9.2.6
Rendering the functional stationary and solving the problem
327
9.2.7
Coding the
FEM
328
9.2.8
Results and rate of convergence
329
9.3
Improving and generalizing the
FEM
solution
331
9.3.
1 Higher-order elements
331
9.3.2
More general boundary conditions
337
9.4
Further reading
339
9.5
Conclusions
340
References
340
Problems and assignments
341
10
The finite dement method in two dimensions: scalar and vector elements
342
10.1
Introduction
342
10.2
Finite element solution of the Laplace equation in two dimensions using
scalar elements
343
10.2.1
The variational boundary value problem approach
343
10.2.2
Some practical issues: assembling the system
349
10.2.3
An application to
microstrip
352
10.2.4
More on variational functionals
355
10.2.5
The
Poisson
equation: incorporating a source term
358
10.2.6
Discussion
358
10.3
The Galerkin (weighted residual) formulation
359
10.4
Simplex coordinates
364
10.4.1
Simplex coordinates in one, two and three dimensions
365
10.4.2
Some properties of simplex coordinates
366
10.5
The high-frequency variational functional
367
10.6
The null space of the curl operator and spurious modes
367
10.7
Vector (edge) elements
371
10.7.
1 An historical perspective
371
10.7.2
Theory of vector elements
372
10.7.3
Vector elements on triangles
-
the Whitney element
374
10.8
Application to waveguide eigenvalue analysis
378
10.8.1
The two-dimensional variational functional for an homogeneous
waveguide
378
10.8.2
Explicit formula for the elemental matrix entries
379
10.8.3
Coding
382
10.8.4
Results
386
10.8.5
Degenerate modes
389
10.8.6
Higher-order vector elements
391
10.9
Waveguide dispersion analysis
394
Contents
xiii
10.9.1
A vector formulation based on the transverse and axial field
components
394
10.9.2
The cut-off eigenanalysis formulation
396
10.9.3
Homogeneously filled guides:
TE
modes only
397
10.9.4
Eigensolution
398
10.9.5
Results: a half-filled dielectric loaded rectangular waveguide
398
10.9.6
Alternate formulations for inhomogeneously loaded waveguides
400
10.10
Further reading
400
10.11
Conclusions
402
References
403
Problems and assignments
406
11
The finite element method in three dimensions
407
11.1
The three-dimensional Whitney element
407
11.1.1
Explicit formula for the tetrahedral elemental matrix entries
408
11.1.2
Coding
411
11.2
Higher-order elements
415
11.2.1
Complete versus mixed-order elements
416
11.2.2
Hierarchal vector basis functions
416
11.2.3
Properties of hierarchal basis functions
419
11.2.4
Practical impact of higher-order basis functions in an
FEM
code
421
11.3
The
FEM
from the variational boundary value problem viewpoint
427
11.4
A deterministic
3D
application: waveguide obstacle analysis
429
11.4.1
Introduction
429
11.4.2
The waveguide formulation
430
11.5
Application to two waveguide discontinuity problems
432
11.5.1
Application to a Magic-T
432
11.5.2
Application to
a capacitive
iris
436
11.6
Open-region finite element method formulations: absorbing boundary
conditions (ABCs)
441
11.6.1
Formulation in terms of the scattered field
442
Π
.6.2
Formulation in terms of the total field
443
11.6.3
Discussion
444
11.7
Further reading
444
11.8
Conclusions
445
References
445
Problems and assignments
448
12
A selection of more advanced topics in fun-wave computational electromagnetics
451
12.1
Hybrid finite element/method of moments formulations
451
12.1.1
Introduction
451
12.1.2
Theoretical background
452
12.2
Ал
application of the FEM/MoM hybrid
-
GSM base stations
454
xiv Contents
12.2.1 Applications
of FEM/MoM
hybrid
formulations
454
12.2.2 Human
exposure assessment near GSM base stations
455
12.3
Time domain
FEM
457
12.3.1
Basic formulation and implementation
458
12.3.2
Preliminary results
461
12.3.3
The FDTD as a special case of the FETD
464
12.3.4
Hybrid FDTD/FETD schemes
468
12.4
Sparse matrix solvers
468
12.4.1
Profile-in skyline storage
469
12.4.2
Compressed row storage
470
12.4.3
Implementation of matrix solution using these storage schemes
471
12.4.4
Results for sparse storage schemes
471
12.5
A posteriori error estimation and adaptive meshing
473
12.5.
1 Explicit, residual-based error estimators
474
12.5.2
An example of the application of an error estimator
476
12.6
Further reading and conclusions
478
References
481
Appendix A: The Whitney element
484
Appendix B: The
Newmark-ß
time-stepping algorithm
486
References
488
Appendix C: On the convergence of the MoM
489
Reference
490
Appendix D: Useful formulas for simplex coordinates
491
Appendix
E: Web
resources
493
Appendix
F: Matlab
files supporting this text
496
Index
498
This hands-on introduction to computational electromagnetics
(CEM)
links
theoretical coverage of the three key methods
-
the FDTD, MoM, and
FEM
-
to
open source
MATLAB
codes (freely available online) in ID, 2D, and
3D,
together
with many practical hints and tips gleaned from the author s
25
years of
experience in the field. There is also extensive coverage of leading commercial
CEM
software, including many application examples. Updated and extensively
revised, this second edition includes a new chapter on
1
D
FEM
analysis, and
extended
3D
treatments of the FDTD, MoM, and
FEM,
with entirely new
3D
MATLAB
codes. Coverage of higher-order finite elements in
1
D, 2D,
and
3D
is
also provided, with supporting code, in addition to a detailed
1
D
example of
the FDTD from a FEM perspective. With running examples throughout the book
and end-of-chapter problems to aid understanding, this is ideal for professional
engineers and senior undergraduate/graduate students who need to master
CEM
and avoid common pitfalls in writing code and using existing software.
David B. Davidson holds the Square Kilometer Array Research Chair in the
Department of Electrical and Electronic Engineering at
Stellenbosch
University,
South Africa, from where he received his Ph.D. in
1991.
He is a Senior Member of
the IEEE, edits the EM Programmer s Notebook in the IEEE Antennas
ond
Propagation
Magazine
ano
is the recipient of a number of awards, including the
South African National Research Foundation President s Award and the Rector s
Award for Excellent Research from
Stellenbosch
University. His main research
interest is
CEM;
he has published extensively on this topic and has contributed to
commercial software.
From the first edition
...highly readable and an excellent introduction with lucid explanations of
CEM.
...I would recommend this book as essential reading for RF and microwave
engineers, as well as for students.
Reza
Danesfahani, IEE Communications Engineer
|
| any_adam_object | 1 |
| author | Davidson, David B. |
| author_GND | (DE-588)137085931 |
| author_facet | Davidson, David B. |
| author_role | aut |
| author_sort | Davidson, David B. |
| author_variant | d b d db dbd |
| building | Verbundindex |
| bvnumber | BV037226786 |
| classification_rvk | UH 3000 ZN 3240 |
| ctrlnum | (OCoLC)731935745 (DE-599)GBV632566973 |
| dewey-full | 621.384 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.384 |
| dewey-search | 621.384 |
| dewey-sort | 3621.384 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV037226786 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:53:53Z |
| institution | BVB |
| isbn | 0521518911 9780521518918 |
| language | English |
| lccn | 2010032992 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021140548 |
| oclc_num | 731935745 |
| open_access_boolean | |
| owner | DE-634 DE-83 DE-703 DE-573 DE-29T DE-861 |
| owner_facet | DE-634 DE-83 DE-703 DE-573 DE-29T DE-861 |
| physical | XXII, 505 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Davidson, David B. Verfasser (DE-588)137085931 aut Computational electromagnetics for RF and microwave engineering David B. Davidson 2. ed. Cambridge [u.a.] Cambridge Univ. Press 2011 XXII, 505 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Electromagnetic fieldsxMathematical models RadioxMathematics Microwave devices Electronic apparatus and appliances Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Mikrowelle (DE-588)4039246-6 gnd rswk-swf Elektromagnetisches Feld (DE-588)4014305-3 s Mikrowelle (DE-588)4039246-6 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021140548&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021140548&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Davidson, David B. Computational electromagnetics for RF and microwave engineering Electromagnetic fieldsxMathematical models RadioxMathematics Microwave devices Electronic apparatus and appliances Finite-Elemente-Methode (DE-588)4017233-8 gnd Elektromagnetisches Feld (DE-588)4014305-3 gnd Mikrowelle (DE-588)4039246-6 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4014305-3 (DE-588)4039246-6 |
| title | Computational electromagnetics for RF and microwave engineering |
| title_auth | Computational electromagnetics for RF and microwave engineering |
| title_exact_search | Computational electromagnetics for RF and microwave engineering |
| title_full | Computational electromagnetics for RF and microwave engineering David B. Davidson |
| title_fullStr | Computational electromagnetics for RF and microwave engineering David B. Davidson |
| title_full_unstemmed | Computational electromagnetics for RF and microwave engineering David B. Davidson |
| title_short | Computational electromagnetics for RF and microwave engineering |
| title_sort | computational electromagnetics for rf and microwave engineering |
| topic | Electromagnetic fieldsxMathematical models RadioxMathematics Microwave devices Electronic apparatus and appliances Finite-Elemente-Methode (DE-588)4017233-8 gnd Elektromagnetisches Feld (DE-588)4014305-3 gnd Mikrowelle (DE-588)4039246-6 gnd |
| topic_facet | Electromagnetic fieldsxMathematical models RadioxMathematics Microwave devices Electronic apparatus and appliances Finite-Elemente-Methode Elektromagnetisches Feld Mikrowelle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021140548&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021140548&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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