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Marks are in for Winter 2016
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+ *…
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Tangential and normal field components
Tangential and normal field components
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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…
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Image theorem
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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…
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Duality transformation of the far field fields.
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…
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Recovering the fields
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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…
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