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, plus proofs of the theorems when these are simple or enlightening.

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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.