Appendix A

# The Generalized Symmetric Form of Maxwell's Equations

For a linear, homogeneous and isotropic medium, the time-harmonic, symmetric form of Maxwell's equations, i.e., the form in which both electric and fictitious magnetic charges and currents are taken into account, can be written as follows:

$\mathrm{\nabla }×\stackrel{\to }{E}=-j\omega \mu \stackrel{\to }{H}-\stackrel{\to }{M},$

(A.1)

$\mathrm{\nabla }×\stackrel{\to }{H}=j\omega \epsilon \stackrel{\to }{E}+\stackrel{\to }{J},$

(A.2)

$\mathrm{\nabla }\cdot \stackrel{\to }{E}=\frac{1}{\epsilon }{\rho }_{e},$

(A.3)

$\mathrm{\nabla }\cdot \stackrel{\to }{H}=\frac{1}{\mu }{\rho }_{m}.$

(A.4)

Note that $\stackrel{\to }{M}$ and ${\rho }_{m}$ are the fictitious magnetic surface current and charge density, ...

Get Human Interaction with Electromagnetic Fields now with the O’Reilly learning platform.

O’Reilly members experience live online training, plus books, videos, and digital content from nearly 200 publishers.