Marks are in for Winter 2016

I started my formal re-education program back in 2010 after 20 years out of school. The first few courses were particularly tough after such a long break from school (and exam based courses still are), but I’m getting the hang of playing that game again. Here’s my score so far:

Crs Code Title Wgt Mrk Grd CrsAvg PHY356H1 Quantum Mechanics I 0.50 78 B+ C+ PHY450H1 Rel Electrodynamics 0.50 78 B+ *…

Tangential and normal field components

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

The integral forms of Maxwell’s equations can be used to derive relations for the tangential and normal field components to the sources. These relations were mentioned in class. It’s a little late, but lets go over the derivation. This isn’t all review from first year electromagnetism since we are now using a magnetic source modifications…

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

In the last problem set we examined the array factor for a corner cube configuration, shown in fig. 1.

  fig. 1. A corner-cube antenna.

  Motivation

This is a horizontal dipole antenna placed next to a metallic corner. The radiation at points in the interior of the cube have contributions due to the line of sight field from the antenna as…

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…

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

This is a small addition to Phasor form of (extended) Maxwell’s equations in Geometric Algebra.

Relative to the observer frame implicitly specified by \( \gamma_0 \), here’s an expansion of the curl of the electric four potential

\begin{equation}\label{eqn:phasorMaxwellsWithElectricAndMagneticCharges:720} \begin{aligned} \grad \wedge…