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I'm coding a software for an optics lab I'm working in and I need to know how to derive expressions for Jones matrices for various polarizes.

What does a Jones matrix represent and how would you derive them for say a linear polarizer with transmission axis oriented at an angle of $60$ deg with the vertical?

Or even the simpler case of a half-wave plate with fast axis horizontal?

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Hi! Could you please try to study en.wikipedia.org/wiki/Jones_matrix and if something is unclear over there, be more specific about what it is? – Luboš Motl May 21 '12 at 18:17

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