The Art of Computer Systems Performance Analysis: Techniques for Experimental Design, Measurement, Simulation, and Modeling (Raj Jain)

The three parts into which this monograph is divided are loosely bound together by the fact that they have to do with singular behavior of time-harmonic or static electromagnetic fields. The first two parts are more closely connected. They discuss distributions and their application in formulating the presence and effects of sources concentrated on submanifolds (i.e., points, curves, surfaces). Here, in particular, multipole expansions and the Green’s tensor (dyadic) are discussed. Green’s tensors are presented for various physical situations and applied to representing solutions to the time-harmonic Maxwell equations (e.g., in free space, cavities, waveguides). The third part deals with the behavior of electromagnetic fields near corners, edges and conical points. It is well known that solutions with finite energy display interior regularity (if the data are regular) but may have singularities at singular boundary points (preventing for certain geometries, e.g., that all first derivatives are square-integrable). This type of singularity is studied by expansions in terms of function systems associated with separation of variables with respect to coordinates matching the local geometry of the boundary (cylinder, polar, spheroconal coordinates). The emphasis in this part "is laid on the presentation of numerical data useful to the practising electromagneticst." The focus on the important issues of a more realistic discussion of electromagnetic wave propagation in themquite commonmpresence of corners, edges, and conical points is the most prominent feature of this text. The monograph is complemented by six short appendices to several issues and prerequisites referred to in the course of the monograph. This monograph is an engineering text in the strict sense of the word. Mathematics is used as a means of symbolic communication rather than as an instrument of establishing the validity of statements; in the author’s words, "... the approach is unashamedly that of the ’applied mathematician.’" The risk inherent in the lack of mathematical rigor will be gladly accepted by the intended audience, due to the admissibility of supporting evidence (measurements, numerical results, experiments, etc.). The audience addressed with this monograph consisting of "graduate students of electrical engineering and physics, as well as to practising electromagneticists in industrial and academic laboratories" will find this a valuable addition to the many more general books on electromagnetism. Last but not least, the fairly extensive references given at the end of each chapter should be very useful for graduate students as well as practitioners in the field.