Help understanding easy state problem

  • Thread starter narfarnst
  • Start date
  • #1
narfarnst
14
0
First off, I don't need a solution, I just need to make sens of the solution I already have.

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>
-------
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.
 

Answers and Replies

  • #2
sgd37
213
8
't' stands for transverse and 'a' for axial and all that means is that they are the basis vectors of the polarisation vector and their coefficients are the components. Similar to (x,y) and the angle between them is arctan (y/x)
 
  • #3
narfarnst
14
0
Thanks.

But why use bra-ket notation? Couldn't you just as easially express them as (a, t). For example, (2, -1) or (1, 1).
 
  • #4
sgd37
213
8
yes they're equivalent, but the advantages of bra-ket notation are lost in this examble
 
  • #5
narfarnst
14
0
Ahhh, well thanks again.
 

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