Calculating skew quadrupole strengths

[elafmusa]

Hi

I have a basic question, when introducing shifts to sextuple elements, how can I compute the resulting skew quadrupole strengths that arise from these errors? E.g. to be used in RDTs formulas.

Thank you in advance

[lcarver]

The formula for a sextupole kick is:

x' = b3 ( x^2 - y^2)
y' = -2 b3 x y

if you assume a vertical offset (to give you skew quad)

y' = -2 b3 x (y + dy) = -2 b3 x y - 2 b3 x dy

So the skew quadrupole component is -2 b3 dy