Appendix B

Vector Formulas

Although the material provided in Chapter 3 should be sufficient to manipulate any vector formula that will be encountered in antenna theory, it will be convenient to have a list of most commonly used vector formulas. A selection of these is presented in this appendix.

In the following we will make use of the vectors A, B and C and the scalars Φ and Ψ.

We start by writing the gradient, divergence and curl operations in rectangular coordinates:

B.1 B.1

B.2 B.2

B.3 B.3

Also

B.4 B.4

B.5 B.5

A list of useful vector identities is given below:

B.6 B.6

B.7 B.7

B.8 B.8

B.9 B.9

B.10

B.11

B.12

B.13

Get Antenna Theory and Applications now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.