#electric vector potential

A comparison of Geometric Algebra electrodynamic potential methods

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Motivation

Geometric algebra (GA) allows for a compact description of Maxwell’s equations in either an explicit 3D representation or a STA (SpaceTime Algebra [2]) representation. The 3D GA and STA representations Maxwell’s equation both the form

\begin{equation}\label{eqn:potentialMethods:1280} L \boldsymbol{\mathcal{F}} = J, \end{equation}

Duality transformation of the far field fields.

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We’ve seen that the far field electric and magnetic fields associated with a magnetic vector potential were

\begin{equation}\label{eqn:dualFarField:40} \BE = -j \omega \textrm{Proj}_\T \BA, \end{equation} \begin{equation}\label{eqn:dualFarField:60} \BH = \inv{\mu_0} \kcap \cross \BE. \end{equation}

It’s worth a quick note that the duality…

Notes for Balantis chapter 4: linear wire antennas.

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These are notes for the UofT course ECE1229, Advanced Antenna Theory, taught by Prof. Eleftheriades, covering ch. 4 [1] content.

Unlike most of the other classes I have taken, I am not attempting to take comprehensive notes for this class. The class is taught on slides that match the textbook so closely, there is little value to me taking…