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.

This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.

A one-stop reference to the major techniques for analyzing microwave planar transmission line structures The last two decades have seen important progress in the development of methods for the analysis of microwave and millimeter-wave passive structures, which contributed greatly to microwave integrated circuit design while also stimulating the development of new planar transmission lines. This timely and authoritative work introduces microwave engineers to the most commonly used techniques for analyzing microwave planar transmission line structures. Designed to be easily accessible to readers with only a fundamental background in electromagnetic theory, the book provides clear explanations of the theory and applications of Green's function, the conformal-mapping method, spectral domain methods, variational methods, and the mode-matching methods. Coverage for each method is self-contained and supplemented with problems and solutions as well as useful figures. In addition to providing detailed formulations of the methods under discussion, this highly practical book also demonstrates how to apply the principles of electromagnetic theory to the analysis of microwave boundary value problems, customize methods for specific needs, and develop new techniques. Analysis Methods for RF, Microwave, and Millimeter-Wave Planar Transmission Line Structures is an excellent working resource for anyone involved in the design and engineering of RF, microwave, and millimeter-wave integrated circuits.

The most comprehensive work on a number of practical numerical methods for analyzing passive structures in microwave and millimeter-wave integrated circuits. The introduction presents a brief comparison of the various numerical methods and how they may be integrated into computer-aided design programs, so the reader can make the appropriate choice. Chapters following present step-by-step, detailed descriptions of the methods, each chapter written by the utmost authority on the subject. Chapters provide illustrative examples and are written so that the reader can write his own computer program based on the numerical method described (some chapters include sample computer programs).

"This book thoroughly explains the application of Finite-difference Time-domain (FDTD) method to microwave structures. Providing the reader with the most comprehensive collection of material available on this subject, each chapter is composed of an introductory section that addresses the theoretical background of a specific component of the FDTD method and a collection of reprints of the most important papers. Each chapter is contributed by a well-known authority in the field and contains illustrative examples. Topics covered include: * The numerical issues * Geometry description of microwave structures * Methods to reduce the requirements for excessive computational resources * Parallel and vector processing All the topics covered in this book are essential components for successful application of the FDTD method to realistic structures."

Single mode equivalent network representations have been a key tool for the industrial design and development of a large variety of microwave systems. The reduced dimensions and increased complexity of modern microwave equipment, however, makes the inclusion of the higher order mode interactions essential for the correct industrial design and optimization of all microwave hardware. In this context, the analytical techniques originally exploited to develop single mode networks have recently been extended to produce multi-mode algorithms that can form the basis of fast and accurate Computer Aided Design tools. Furthermore, alternative multi-modal techniques, involving resonant rather than guided modes, have recently been developed for the design of waveguide components of arbitrary shape. This book describes in detail a number of modern multi-modal techniques for the analysis and design of passive microwave components. The authors comprehensively cover modal analysis of waveguides and cavities; discuss several multi-mode procedures for the study of both basic and arbitrarily shaped waveguide junctions and, finally, describe specific applications such as inductively coupled filters, waveguide couplers, metal insert and dual-mode filters. The book will be of interest to professional engineers and researchers in the microwave engineering field as well as students engaged in research at an advanced level. Distinctive features of this book include: * detailed explanation of several multi-mode analysis techniques for the analysis of waveguide components based on both canonical and arbitrary waveguide profiles * measured versus simulated results for a number of specific application examples * accompanying software that allows the reader to input their own data thereby demonstrating how the techniques described can be effectively used to develop fast and accurate CAD tools.

The field of electromagnetics has seen considerable advances in recent years, based on the wide applications of numerical methods for investigating electromagnetic fields, microwaves, and other devices. Wide-Band Slow-Wave Systems: Simulation and Applications presents new technical solutions and research results for the analysis, synthesis, and design of slow-wave structures for modern electronic devices with super-wide pass-bands. It makes available, for the first time in English, significant research from the past 20 years that was previously published only in Russian and Lithuanian. The authors examine electrodynamics, multiconductor lines, and numerical methods for the modeling, simulation, analysis, and design of various super-wide-band slow-wave structures, including helical, meander, and gutter-type systems. The book features: The electrodynamic method for analysis of helical structures containing periodical inhomogeneities The multiconductor line method for analysis of complex helical, meander, and gutter-type wide-band slow-wave structures The method of moments for modeling and analysis of multiconductor lines containing a limited number of lines and meander structures with limited length Use of powerful software systems Microwave Office®, MICROWAVE STUDIO®, and MATLAB® for modeling, analysis, and design A synergy of various methods for investigating and designing wide-band slow-wave structures Solution of specific problems related to the design of wide-band and super-wide-band electrodynamic delay and deflection systems Principles of computer-aided design of slow-wave structures Presenting the theory, principles, properties, and applications of wide-band and super-wide-band slow-wave structures, this book will be of interest to students, engineers, researchers, and designers in the fields of electronic and microwave engineering.