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## Homework Statement

What state of polarization do the following represent (Give your answer in terms of an angle relative to the transmission axis).

(a). |t> + |a>

(b) |t> + 2|a>

(c) 2|t>-|a>

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My professor has given us the solutions:

(a). arctan(1) = 45 deg.

(b). arctan(2)~65 deg

(c). arctan(-1/2)~27 deg.

From this, I've reverse-engineered that to find the answer in general, for m|t>+n|a> you take arctan(n/m).

But.... what the hell does this mean, and how is it derived?

Thanks.