Discontinuities in the electromagnetic field /

• Κύριος συγγραφέας: Idemen, M. Mithat (Συγγραφέας)
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Piscataway, NJ : Hoboken, New Jersey : IEEE Press ; Wiley, [2011]
• Σειρά: IEEE Press series on electromagnetic wave theory.
• Θέματα: Electromagnetic fields > Mathematics.; Maxwell equations.; Electromagnetic waves.; SCIENCE > Electromagnetism.; SCIENCE > Waves & Wave Mechanics.; Electronic books.

"This book presents some new approaches and basic results connected with the discontinuities of the electromagnetic field. The discontinuities in question may be (1) the bounded jump discontinuities on the interfaces between two media or on the material sheets which model very thin layers or (2...

Πίνακας περιεχομένων:

• 1. Introduction. 2. Distributions and Derivatives in the Sense of Distribution. 2.1. Functions and Distributions. 2.2. Test Functions. The Space C[inifinity]₀. 2.3. Convergence in D. 2.4. Distribution. 2.5. Some Simple Operations in Dʹ. 2.6. Order of a Distribution. 2.7. The Support of a Distribution. 2.8. Some Generalizations
• 3. Maxwell Equations in the Sense of Distribution. 3.1. Maxwell Equations Reduced into the Vacuum. 3.2. Universal Boundary Conditions and Compatibility Relations. 3.3. The Concept of Material Sheet. 3.4. The Case of Monochromatic Fields
• 4. Boundary Conditions on Material Sheets at Rest. 4.1. Universal Boundary Conditions and Compatibility Relations for a Fixed Material Sheet. 4.2. Some General Results. 4.3. Some Particular Cases
• 5. Discontinuities on a Moving Sheet. 5.1. Special Theory of Relativity. 5.2. Discontinuities on a Uniformly Moving Surface. 5.3. Discontinuities on a Nonuniformly Moving Sheet
• 6. Edge Singularities on Material Wedges Bounded by Plane Boundaries. 6.1. Introduction. 6.2. Singularities at the Edges of Material Wedges. 6.3. The Wedge with Penetrable Boundaries. 6.4. The Wedge with Impenetrable Boundaries. 6.5. Examples. Application to Half-Planes. 6.6. Edge Conditions for the Induced Surface Currents
• 7. Tip Singularities at the Apex of a Material Cone. 7.1. Introduction. 7.2. Algebraic Singularities of an H-Type Field. 7.3. Algebraic Singularities of an E-Type Field. 7.4. The Case of Impenetrable Cones. 7.5. Confluence and Logarithmic Singularities. 7.6. Application to some Widely used Actual Boundary Conditions. 7.7. Numerical Solutions of the Transcendental Equations Satisfied by the Minimal Index
• 8. Temporal Discontinuities. 8.1. Universal Initial Conditions. 8.2. Linear Mediums in the Generalized Sense. 8.3. An Illustrative Example.