Appendix C Intermediate Tensor Calculus in Support of Chapters 3 and 4

doi:10.1117/3.581869.apC

Book: Field Mathematics for Electromagnetics, Photonics, and Materials Science: A Guide for the Scientist and Engineer

Author(s): Bernard Maxum

Published: 2004

https://doi.org/10.1117/3.581869.apC

Author Affiliations +

Abstract

This appendix details the proofs of several important postulations used in Chapters 3 and 4. Each of these proofs is performed for tensors of general rank expressed in explicit standard notation.** Section C.1 provides the precise formulation of the use of this notation for general rank tensors. In addition the dot-, cross-, and tensor-product operations are shown for general rank tensors with the introduction of a generalized operator symbol denoted by an asterisk “*” used to denote any one of these three operators.