#electric vector potential

[peeterjoot]

A comparison of Geometric Algebra electrodynamic potential methods

A comparison of Geometric Algebra electrodynamic potential methods

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

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}

View On WordPress

[peeterjoot]

Duality transformation of the far field fields.

Duality transformation of the far field fields.

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

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…

View On WordPress

[peeterjoot]

Notes for Balantis chapter 4: linear wire antennas.

Notes for Balantis chapter 4: linear wire antennas.

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

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…

View On WordPress