Discontinuities in the Electromagnetic Field
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Description
A multifaceted approach to understanding, calculating, and managing electromagnetic discontinuities Presenting new, innovative approaches alongside basic results, this text helps readers better understand, calculate, and manage the discontinuities that occur within the electromagnetic field. Among the electromagnetic discontinuities explored in this volume are: Bounded jump discontinuities at the interfaces between two media or on the material sheets that model very thin layersUnbounded values at the edges of wedge-type structuresUnbounded values at the tips of conical structuresThe text examines all the key issues related to the bodies that carry the interfaces, edges, or tips, whether these bodies are at rest or in motion with respect to an observer. In addition to its clear explanations, the text offers plenty of step-by-step examples to clarify complex theory and calculations. Moreover, readers are encouraged to fine-tune their skills and knowledge by solving the text's problem sets. Three fundamental, classical theories serve as the foundation for this text: distributions, confluence, and the special theory of relativity. The text sets forth the fundamentals of all three of these theories for readers who are not fully familiar with them. Moreover, the author demonstrates how to solve electromagnetic discontinuity problems by seamlessly combining all three theories into a single approach. With this text as their guide, readers can apply a unique philosophy and approach to the investigation and development of structures that have the potential to enhance the capabilities of electronics, antennas, microwaves, acoustics, medicine, and many more application areas.Content: Chapter 1 Introduction (pages 1–6): Chapter 2 Distributions and Derivatives in the Sense of Distribution (pages 7–48): Chapter 3 Maxwell Equations in the Sense of Distribution (pages 49–66): Chapter 4 Boundary Conditions on Material Sheets at Rest (pages 67–107): Chapter 5 Discontinuities on a Moving Sheet (pages 109–148): Chapter 6 Edge Singularities on Material Wedges Bounded by Plane Boundaries (pages 149–177): Chapter 7 Tip Singularities at the Apex of a Material Cone (pages 179–207): Chapter 8 Temporal Discontinuities (pages 209–213):
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