Field Models in Electricity and Magnetism

1. Front Matter

   Pages i-x

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2. Introduction

   Pages 1-2

3. Vector Fields

   Pages 3-43

4. Analytical Methods for Solving Boundary-Value Problems

   Pages 45-76

5. Numerical Methods for Solving Boundary-Value Problems

   Pages 77-99

6. Time-Varying Electromagnetic Field

   Pages 101-133

7. Inverse Problems

   Pages 135-141

8. Optimization

   Pages 143-160

9. Conclusion

   Pages 161-161

10. Back Matter

    Pages 163-174

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The subject of computation in electricity and magnetism has so advanced in the past 40 years, since the advent of digital computers and thanks to the development of numerical methods, that today it urges and deserves adequate collocation also in curricula for electrical engineering. However, the time allotted to the subject in generalisnotverylargeinundergraduatestudies,wheremoreemphasisisstillusually attributed to circuits and systems than to ?elds. Moreover, ?eld models are generally not very popular among students, who are by far more familiar with circuit models. Even if one considers the quasi-static case, however, not only is electromagnetism fundamentalforpeopledealingwithelectricandmagneticdevices,butitprovidesthe basisfor,e.g.semiconductordevicedesign,bioengineeringapplicationsandsoforth. In the authors’opinion, therefore, time has come to present ?eld models in el- tricity and magnetism, in the frame of an introductory textbook to be used by senior undergraduateorgraduatestudentsintheareaofelectricalandcomputerengineering. Elementary electromagnetism, basic vector analysis and fundamentals of numerical analysis are assumed to be known subjects. Havingthisinmind,theauthorshavecollectedtheexperiencetheyhaveaccu- lated in teaching electromagnetic theory at various levels and in different countries; theyintendtoofferabookonappliedelectricityandmagnetism,describingthepr- lemsofcalculatingelectromagnetic?eldsandtheintegralparametersconnectedwith them in suf?ciently clear and short form. The aim is that of writing a textbook containing the necessary background, i.e. laws explaining electromagnetic phenomena, mathematical operators and equations as well as methods for electromagnetic ?eld calculation. The latter include both analytical and numericalmethods applied to the analysis as well as to the synthesis of electromagnetic devices.

• ALF
• Computational electricity and magnetism
• Computer-aided design in electromagnetism
• Direct and inverse problems
• Electrostatics
• Finite-element modelling of electric and magnetic devices
• Numerical methods in electrical engineering
• Operator
• differential equation
• electricity
• finite element method
• finite elements
• numerical methods
• optimization
• partial differential equation

• University of Pavia, Italy

  Paolo Barba, Antonio Savini

• Technical University of Lodz, Poland

  Slawomir Wiak

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