#magnetic current density

[peeterjoot]

Maxwell's equations with magnetic charge and current densities, from Lagrangian.

Maxwell’s equations with magnetic charge and current densities, from Lagrangian.

This is the 4th part in a series on finding Maxwell’s equations (including the fictitious magnetic sources that are useful in engineering) from a Lagrangian representation. [Click here for a PDF version of this series of posts, up to and including this one.]  The first and second, and third parts are also available here on this blog. Now, let’s suppose that we have a pseudoscalar Lagrangian…

View On WordPress

[peeterjoot]

Reciprocity theorem: background

[Click here for a PDF of this post with nicer formatting]

The class slides presented a derivation of the reciprocity theorem, a theorem that contained the integral of

\begin{equation}\label{eqn:reciprocityTheorem:360} \int \lr{ \BE^{(a)} \cross \BH^{(b)} – \BE^{(b)} \cross \BH^{(a)} } \cdot d\BS = \cdots \end{equation}

over a surface, where the RHS was a volume integral involving the fields and…

View On WordPress