ee256-08-lecture01 - 1 EE256 Numerical Electromagnetics H...

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Unformatted text preview: 1 EE256 Numerical Electromagnetics H. O. #3 Marshall 24 June 2008 Summer 2008 LECTURE 1 1 1.1 INTRODUCTION Our purpose in this course is to provide an introduction to numerical electromagnetics, more commonly referred to as computational electromagnetics (CEM), a subject much too broad to cover in a 10-week quarter. Proper coverage of the full range of underlying topics and different CEM techniques would require a two to three quarter sequence of courses. On the other hand, we note that our goal here is not completion (i.e., dutiful coverage of every CEM topic) but merely to provide the students with a working knowledge of at least some numerical electromagnetics tools and techniques so that they can solve real-world engineering problems. About a decade ago, we might have found it difficult to choose between the different techniques to emphasize in our relatively brief coverage. However, due to a number of developments 2 in the late 1980s and the 1990s, partial differential equation based methods, and in particular the so-called Finite-Difference Time-Domain (FDTD) method has emerged as the method with arguably the broadest range of applicability, especially for electromagnetic problems involving complex and dispersive media, photonics applications, and modeling of high-speed circuits and devices. In addition, FDTD modeling of practical problems can now be undertaken with computer resources readily available to individual users. Finally, and quite impor- tantly for our purposes, FDTD methods are relatively straightforward and intuitively follow from a physical understanding of Maxwell’s equations, making this topic particularly suitable for both undergraduate and first year graduate students in the context of a mezzanine level course. In view of these developments, we shall limit our attention in this course to understanding and applica- tion of FDTD methods for solving a variety of electromagnetic problems. If time permits, we shall provide a brief overview of other techniques during the last two weeks of the quarter, in particular the so-called Mo- ment Method technique, particularly applicable to antenna, radar and scattering problems in an otherwise unbounded free space medium. Any course on numerical electromagnetics must rely on a firm base of knowledge of the foundations of electromagnetics as stated in Maxwell’s equations. Accordingly, we undertake in this Lecture a review of Maxwell’s equations and associated boundary conditions. 1 Some of the material in this document has been adapted from U. S. Inan and A. S. Inan, Electromagnetic Waves , Prectice Hall, 2000. 2 See Section 1.1.2 of A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method , Artech House, 1995. 2 1.2 REVIEW OF MAXWELL’S EQUATIONS All classical electromagnetic phenomena are governed by a compact and elegant set of fundamental rules known as Maxwell’s equations . These set of four coupled partial differential equations were put forth as the....
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ee256-08-lecture01 - 1 EE256 Numerical Electromagnetics H...

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