i've done a google search "elliptical polarisation superposition" and also included the terms "jones vector" but have not found the exact answer that i seek.
i have some very specific criteria and suspect that the answer is straightforward but do not know how to prove it: help greatly appreciated.
in the following dissertation it provides a description of polarization by a jones vector http://www.diss.fu-berlin.de/diss/servlets/MCRFileNodeServlet/FUDISS_derivate_000000002688/04_chapter2.pdf
what i need to know is: if you superimpose two polarisations at:
- exactly the same position
- exactly the same size in both X and Y
- exactly the same orientation in both X and Y
- in exactly the same plane (XY) about Z
- with exactly the same phase
- with the SOLE EXCLUSIVE difference being their angle of rotation about Z
then what is the result?
intuitively i am guessing: is the end result simply a new polarisation field with exactly the same position, exactly the same size, still in the same XY plane about Z, still with exactly the same phase, but with the angle now being the SUM of the two polarisation's angles of rotation about Z?
or, is it more complex than that?
also, what happens in the case where the phase between the two is inverted by exactly 180 degrees?
in essence: given two jones vectors of same magnitude, frequency and location, how do i add them up?