- Use Matlab to do problems 6-3, 6-4, and 6-5 from the textbook.
- Do problem 6-9 from the textbook.
- Do problems 6-10, 6-11, and 6-12 from the textbook.
- Show the point spread function (images) for two waves of
the following astigmatism aberrations:
- W
_{1}(*x*,*y*) =*x*^{2} - W
_{2}(*x*,*y*) =*y*^{2} - W
_{3}(*x*,*y*) =*x*^{2}-*y*^{2} - W
_{4}(*x*,*y*) = 2*x**y*

- W
- Show the point spread function (images) for two waves of
the following coma aberrations. Add tilt to center the spread function
- W
_{1}(*x*,*y*) =*r*^{2}*y* - W
_{2}(*x*,*y*) =*r*^{4}*y*

*r*^{2}=*x*^{2}+*y*^{2} - W
- Show the point spread function (images) for one-half wave of
the following aberrations.
- W
_{1}(*r*) = 2*r*^{2}- 1 (focal shift) - W
_{2}(*r*) = 6*r*^{4}-6*r*^{2}+1 (fourth-order Zernike spherical aberration)

- W

Maintained b*y* John
Loomis, last updated *5 July 2009 *