where TSA = TSA3 + TSA5. Note that choosing K in Eq. (4.3.6) according to
Eq. (3.5.4) gives zero TSA, as expected. It is left as an exercise for the reader to
verify that Eq. (4.2.7b) follows fi-om Eq. (4.3.6) with K = Q.
Comparing the third-order terms in Eqs. (4.3.4) and (4.3.6) we see that they
are the same if r = y. In the paraxial approximation the height of a ray at the
surface is always the same as its projection on the tangent plane to the surface. It
turns out in general that all third-order aberrations can be expressed entirel ...
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