Assignment 5

Read Smith, Sections 2.1-2.5.

  1. How do Smith's sign conventions differ from ours? Give examples of how this affects his formulas.

  2. Do exercises 1-5 from chapter 2 in Smith.

  3. Using the lens description in Smith, page 506, do the following:
    1. find the back focal distance (BFD). Smith calls this BFL.
    2. find the principal planes and hiatus
    3. draw the lens using Matlab, showing the position of the principal planes and the rear focal plane.

  4. Do problems 2-3 through 2-6 from the class notes (chapter 2).

  5. Do problem 2-9 from the class notes. Use either Matlab or Excel.

  6. Consider a hemispherical lens of radius 7.5 cm and index 1.5, as shown below

    1. Find the axial distance d from the rear surface to the point of intersection on the axis for rays entering parallel to the optical axis at heights of 3.5 cm and 0.1 cm.

    2. For the same lens, find the maximum height at which a parallel input ray can enter without undergoing total internal reflection.


Maintained by John Loomis, last updated 18 Sept 2006