Field models in electricity and magnetism

Covering the development of field computation in the past forty years, the book intends to be a concise, comprehensive and up-to-date introduction to methods for the analysis and synthesis of electric and magnetic fields. A broad view of the subject of field models in electricity and magnetism , ranging from basic theory to numerical applications, is offered. The approach coherently assumed throughout the whole book is to solve field problems directly from partial differential equations in terms of vector quantities. Theoretical issues are illustrated by practical examples. In particular, a single example is solved by different methods so that, by comparison of results, limitations and advantages of the various methods are made clear. The subject of the synthesis of fields and of the optimal design of devices, which are growing in research and so far have not been adequately covered in textbooks, are developed in addition to the more classical subject of analysis. Topics covered include: • vector fields: electrostatics, magnetostatics, steady conduction; • analytical methods for solving boundary-value problems; • numerical methods for solving boundary-value problems; • time-varying electromagnetic field; • inverse problems; • optimization. The book results from the cooperation of three authors, after collecting a separate experience in teaching electromagnetic theory at various levels and in different countries. The book is primarily addressed and recommended to senior undergraduate and graduate students of electrical and electronic engineering. Moreover, the book is intended to be a reference for students preparing their PhD projects. The book can also be helpful for scientists and engineers working, in general, with electric and magnetic fields.