George W. Hanson, Alexander B. Yakovlev

Operator Theory for Electromagnetics (eBook, PDF)

An Introduction

• Format: PDF

Produktbeschreibung

This text discusses electromagnetics from the view of operator theory, in a manner more commonly seen in textbooks of quantum mechanics. It includes a self-contained introduction to operator theory, presenting definitions and theorems, as well as proofs of the theorems when these are simple or enlightening. It then applies these tools to problems in classical electromagnetic theory. The emphasis throughout the discussions of both mathematics and applications is on electromagnetics in engineering.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 634
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9781475736793
• Artikelnr.: 43994042

Inhaltsangabe

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.