...feed.1
The generic IF-channel labels $ \sf p$ and $ \sf q$ are known as X and Y for WSRT and ATCA, and R and L for the VLA. They should not be confused with the two receptors $ \sf a$ and $ \sf b$, since the signal in an IF-channel may be a linear combination of the receptor signals.
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... product'2
Also called the outer matrix product, or tensor product, or Kronecker product. See [2].
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... write:3
In one influential book [12], the factor 0.5 is omitted from $ \sf S^{\odot}_{}$. This is clearly incorrect, since a single receptor can never measure more than one half of the total flux of an unpolarised source.
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...with4
One might argue that a more consistent form of $ \cal {H}$ would be an expression in terms of the $ \pm$$ \pi$/4 ellipticities that are intrinsic to a circular receptor:

$\displaystyle \cal {H}$alternative  =  $\displaystyle \sf Ell$($\displaystyle \pi$/4, - $\displaystyle \pi$/4)  =  $\displaystyle {\frac{1}{\sqrt{2}}}$ $\displaystyle \left(\vphantom{\begin{array}{cc}1 & i\\  i & 1 \end{array}}\right.$$\displaystyle \begin{array}{cc}1 & i\\  i & 1 \end{array}$ $\displaystyle \left.\vphantom{\begin{array}{cc}1 & i\\  i & 1 \end{array}}\right)$  =  $\displaystyle \left(\vphantom{\begin{array}{cc}1 & 0\\  0 & i \end{array}}\right.$$\displaystyle \begin{array}{cc}1 & 0\\  0 & i \end{array}$ $\displaystyle \left.\vphantom{\begin{array}{cc}1 & 0\\  0 & i \end{array}}\right)$ $\displaystyle \cal {H}$ (17)

However, a choice for a different $ \cal {H}$ should not be made lightly, since it would affect the deeply entrenched form of the Stokes matrices.
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2006-10-15