Read chapter 6 from Smith.

- Do problems 6-1 through 6-5 from Smith.
- Do problem 3-3 from the printed class notes.
- Do problems 3-7 and 3-8 from the printed class notes.
- Use the data in asgn7.xls, generated from an OSLO paraxial raytrace to draw the vignetting diagram and find the percent vignetted.
- Using the lens description in Smith, page 518,
make the object distance 400 mm
and object height 120 mm, set the working f/number to f/4, and do the following using OSLO:
- Find the image plane using a paraxial solve.
- Show a paraxial raytrace using OSLO.
- Show the paraxial setup from OSLO.

- For the previous lens, find the paraxial raytrace using Excel and MATLAB. The results should match the OSLO results. Find the location and diameter of the entrance and exit pupils from the paraxial raytrace. These numbers are also available in OSLO.
- Given the following lens and paraxial raytrace (object at infinity)
# rd th rn ap *y*_{a}*y*_{c}*u*_{a}*u*_{c}0

1e20 1

0.0000

0.3697 1 21.5 2 1.622861 7 5.55556 -2.99023 -0.09917 0.27766 2 -124.1 5.26 1 7 5.35721 -2.43491 -0.18783 0.46282 3 -19.1 1.25 1.620577 5 4.36920 -0.00049 -0.02831 0.28558 4 22 4.69 1 5 4.33382 0.35649 0.07637 0.47286 6 328.9 2.25 1.622861 6.8 4.69201 2.57520 0.04159 0.28837 7 -16.7 ? 1 6.8 4.78558 3.22303 -0.11100 0.34777 8

0.0000 ?

where

**rd**is the radius of curvature,**th**is the axial thickness,**ap**is the aperture height (radius), and**rn**is the refractive index.Find the following from the paraxial ray trace

- effective focal length and f/number
- half-field of view (radians)
- image distance and image height
- location of stop
- # vignetting surfaces
- maximum unvignetted field (as a fraction of the original field)

Maintained by John Loomis,
last updated *8 Oct 2007 *