Operator Theory for Electromagnetics [E-Book] : An Introduction / by George W. Hanson, Alexander B. Yakovlev.
The purpose of this book is to describe methods for solving problems in applied electromagnetic theory using basic concepts from functional anal ysis and the theory of operators. Although the book focuses on certain mathematical fundamentals, it is written from an applications perspective for engin...
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Full text |
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Personal Name(s): | Hanson, George W., author |
Yakovlev, Alexander B., author | |
Imprint: |
New York, NY :
Springer,
2002
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Physical Description: |
XIX, 634 p. 28 illus. online resource. |
Note: |
englisch |
ISBN: |
9781475736793 |
DOI: |
10.1007/978-1-4757-3679-3 |
Subject (LOC): |
- I: Basic Theory
- 1 Electromagnetic Fundamentals
- 2 Introductory Functional Analysis
- 3 Introductory Linear Operator Theory
- 4 Spectral Theory of Linear Operators
- 5 Sturm—Liouville Operators
- 6 Poisson’s and Laplace’s Boundary Value Problems: Potential Theory
- 7 Transmission-Line Analysis
- 8 Planarly Layered Media Problems
- 9 Cylindrical Waveguide Problems
- 10 Electromagnetic Cavities
- A Vector, Dyadic, and Integral Relations
- A.1 Vector Identities
- A.2 Dyadic Identities
- A.3 Dyadic Analysis
- A.4 Integral Identities
- A.5 Useful Formulas Involving the Position Vector and Scalar Green’s Functions
- A.6 Scalar and Vector Differential Operators in the Three Principal Coordinate Systems
- B Derivation of Second-Derivative Formula (1.59)
- C Gram—Schmidt Orthogonalization Procedure
- D Coefficients of Planar-Media Green’s Dyadics
- E Additional Function Spaces.