The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations. The topics covered in this monograph include: Spheroidal coordinates and wave functions Dyadic Green's functions in spheroidal systems EM scattering by a conducting spheroid EM scattering by a coated dielectric spheroid Spheroid antennas SAR distributions in a spheroidal head model The programming codes and their applications are provided online and are written in Mathematica 3.0 or 4.0. Readers can also develop their own codes according to the theory or routine described in the book to find subsequent solutions of complicated structures. Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied physics.

Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions. Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal coordinates. Topics include separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relations, and expansions in spherical Bessel function products. Additional subjects include recurrence relations of Whittaker type, asymptotic expansions for large values of c, and vector wave functions. The text concludes with an appendix, references, and tables of numerical values.

Conformal components are used nowadays at higher rate than ever before. They can be found in curved mobile phones, communication, navigation, and imaging systems in land, water, air, and space vehicles. The integration of those components within the external structure became of significant importance for aerodynamic, electromagnetic, aesthetic, or physical reasons. As a result, many mathematical models were previously developed to analyze and optimize such conformed devices. In this thesis, we contributed to this field by developing various models for full wave analysis of spheroidal components. As a starting point, mathematical formulas for conforming antennas on oblate and prolate spheroids were obtained. Those conformation methods were validated by conforming many antennas on spheroidal surfaces. They were then used to formulate Method of Moments equations with spheroidally curved current functions for analyzing wire antennas of random shape conformed to spheroids in the frequency domain. The complete model was applied to a conformal Archimedean spiral antenna on an oblate spheroid and showed that the conformed spiral has similar current distribution as its planar counterpart but produces an unsymmetrical radiation pattern. The obtained model was then extended to spheroidal multi-layer structures by integrating the spheroidal dyadic Green’s Function within its mathematical derivation. However, due to a detected divergence in that function, the model couldn’t be implemented. On the side of time based analysis methods, a Finite Difference Time Domain method was developed for closed oblate and prolate spheroidal structures. Alternative formulas for the structure’s singularities and the condition of numerical stability were derived as well. The obtained model was then validated and used to characterize spheroidal cavities in the time and frequency domains. The method was extended later to unbounded spheroidal domain by deriving the Absorbing Boundary Conditions using the One Way Wave method. The whole model was then applied to characterize a patch antenna conformed to a prolate spheroid. Finally, an analytical solution for the transient fields in spherical multilayer media energized by spherical harmonics source and an algorithm for tracing back the path of all the reflected waves were obtained. The model was applied to different multilayer structures where the transient response was obtained and validated against a numerical solution.

A large amount of natural or artificially produced physical phenomena are exploited for practical applications, even though several of them give rise to unpleasant consequences. These ultimately manifest themselves under form of malfunction or definitive failure of components and systems, or environmental hazard. So far, manifold categories of inadvertent or deliberate sources have been discovered to simultaneously produce useful effects in some ways but adverse ones in others. In particular, responsible for the growing interest in the last decades for Electromagnetic Compatibility (EMC) has been the progressive miniaturisation and sensitivity of electronic components and circuits, often operating in close proximity to relatively powerful sources of electromagnetic interference. Potential authors of books on the subject-matter are fully aware of the fact that planning production of manageable handbooks capable to treat all the EMC case studies of practical and long-lasting interest could result in a questionable and difficult undertaking. Therefore, in addition to textbooks providing a thorough background on basic aspects, thus being well-tailored for students and those which want to get in contact with this discipline, the most can be made to jointly sustain a helpful and practicable publishing activity is to supply specialised monographs or miscellanies of selected topics. Such resources are preferentially addressed to post-graduate students, researchers and designers, often employed in the forefront of research or engaged for remodelling design paradigms. Hence, the prerequisite for such a class of publications should consist in arousing critical sense and promoting new ideas. This is the object of Electromagnetic Compatibility in Power Systems, which tries to rather discuss special subjects, or throw out suggestions for reformulating conventional approaches, than to appear as a reference text. A common motivation encouraged the contributors to bringing together a number of accounts of the research that they have undertaken over the late years: willing to fill the important need of covering EMC topics rather proper to transmission and distribution of electric power than, more usually, to Electronics and Telecommunication Systems. - EMC topics for Power Systems, at last! - Investigating EMC features of distributed and/or complex systems - A broad body of knowledge for specific applications - A stimulating support for those which are engaged in the forefront of research and design - An example of how breaking ideas should be encouraged and proudly applied - A fruitful critique to overcomplicated and unpractical models - A comprehensive resource to estimate the important role of EMC at lower frequencies