Learn to solve both simple and complex electromagnetic problems with this text′s unique integration of theoretical and mathematical concepts. With the author′s guidance, readers discover a broad range of classic and cutting–edge applications across a wide array of fields, including biomedicine, wireless communication, process control, and instrumentation. Case studies, detailed derivations, and 170 fully solved examples deepen readers′ understanding of theory, and help them to apply numerical methods to real–world problems.
Following an introduction to complex numbers and functions and a chapter on vector analysis, the book covers:
- Basic laws of electromagnetics, including Maxwell′s equations and the Lorentz force equation
- Uniform plane waves
- Transmission line circuits
- Modified Maxwell′s equations and potential functions
- Source in infinite space
- Electrostatic and magnetostatic fields, including analysis of electrostatic problems via Poisson′s and Laplace′s equations
- Waveguides and cavity resonators
- Numerical techniques, including finite difference methods and the method of moments
In addition to the worked examples, 225 practice problems are provided to help readers apply their skills. Appendices include a wealth of helpful advanced mathematics data and information. For readers wishing to study particular topics in greater depth, extensive references are provided.
With its emphasis on applications, this text is ideal for practicing engineers and scientists. Based on more than twenty–five years of the author′s hands–on teaching experience, this text is also perfect for undergraduate and beginning graduate students in electrical engineering and physics. Chapters are self–contained and organized to allow instructors flexibility in presenting topics and integrating the text into their course.
1.1 Electrical sources and fundamental quantities.
1.2 Static and dynamic fields.
1.3 Working with complex numbers and functions.
2. VECTORS AND FIELDS.
2.1 Working with vectors.
2.2 Coordinate systems.
2.3 Differentiation and integration of vectors.
2.4 Gradient of the scalar field and its applications.
2.5 Divergence of the vector field and its applications.
2.6 Curl of the vector field and its applications.
2.7 The divergence theorem.
2.8 Stokes theorem. .
2.9 Other operations involving
2.10 Helmholtz theorem.
3. BASIC LAWS OF ELECTROMAGNETICS.
3.1 Maxwell s equations in large scale/integral form.
3.2 Maxwell s equations in point/differential form.
3.3 Constitutive relations.
3.4 Boundary conditions.
3.5 Lorentz force equation.
3.6 Poynting vector and power flow.
4. UNIFORM PLANE WAVES.
4.1 The wave equation and uniform plane wave solutions.
4.2 Plane electromagnetic waves in Lossy media.
4.3 Uniform plane wave incident normally on an interface.
4.4 Uniform plane wave incident obliquely on an interface.
5. TRANSMISSION LINES.
5.1 Transmission line equations.
5.2 Finite length transmission line.
5.3 Smith chart.
5.4 Transients on transmission lines.
6. MODIFIED MAXWELL′S EQUATIONS AND POTENTIAL FUNCTIONS.
6.1 Magnetic charge and current.
6.2 Magnetic vector and electric scalar potentials.
6.3 Electric vector and magnetic scalar potentials.
6.4 Construction of solution in rectangular coordinates.
6.5 Construction of solution in cylindrical coordinates.
6.6 Construction of solution in spherical coordinates.
7. SOURCE IN INFINITE SPACE.
7.1 Fields of an infinitesimal source.
7.2 Antenna parameters.
7.3 Linear antennas.
7.4 Antenna arrays.
7.5 Friis transmission formula and the radar range equation.
8. ELECTROSTATIC FIELDS.
8.1 Laws of electrostatic fields.
8.2 Gauss law.
8.3 Poisson s and Laplace s equations.
8.4 Capacitors and energy storage.
8.5 Further applications of Poisson s and Laplace s equations.
9. MAGNETOSTATIC FIELDS.
9.1 Laws of magnetostatic fields.
9.2 Inductors and energy storage.
9.3 Magnetic materials.
9.4 Magnetic Circuits.
10. WAVEGUIDES AND CAVITY RESONATORS.
1 Metallic rectangular waveguide.
2 Metallic circular cylindrical waveguide.
10.3 Rectangular cavity resonators.
10.4 Circular cylindrical cavity resonators.
11. NUMERICAL TECHNIQUES.
11.1 Finite difference methods.
11.2 The method of moments.
11.3 Scattering of plane EM waves from an infinitely long cylinder.
Appendix A. Mathematical formulas.
Appendix B. Delta function and evaluation of fields in unbounded media.
Appendix C. Bessel functions.
Appendix D. Legendre functions.
Appendix E. Characteristics of selected materials.
Appendix F. Physical constants.
Appendix G. Decibels and Neper.
Appendix H. Nomenclature and characteristics of standard rectangular waveguides.
SELECTED REFERENCE BOOKS .