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Oct 3, 2023 at 19:02 comment added Jagerber48 I think some messy algebra would still need to be done to get equations directly relating $E_x$ and $E_y$ (magnitudes and phases) to the ellipse major/minor axis magnitudes and the ellipse rotation angle
Jun 11, 2018 at 7:57 history edited Emilio Pisanty CC BY-SA 4.0
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Feb 21, 2017 at 18:02 history edited Emilio Pisanty CC BY-SA 3.0
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Feb 20, 2017 at 22:54 comment added Wolpertinger that's fair, I can see how this is neater. Initially it just seemed like a geometrical problem to me which is why I responded with a rather short answer. I also think that you're solution here provides more physical insight through the smart use of parametrization and complex operations. Therefore +1 from me
Feb 20, 2017 at 17:47 vote accept Emilio Pisanty
Feb 20, 2017 at 17:47 history answered Emilio Pisanty CC BY-SA 3.0