Optical Design Assignment 1

  1. Plot the index of refraction of the glass N-SK15 over the range 0.40-0.70 µm using the Sellmeier equation.

  2. Specify a 50-mm focal length thin lens using the glass N-SK15 and the λd wavelength. Plot the focal shift (from nominal 50-mm value) on the x-axis for wavelengths from 0.4-0.7 µm on the y-axis. Determine the difference in focal length between λF and λC.

  3. Using the lens description in Smith, p. 131, do the following:
    1. draw the lens
    2. find its system matrix (from front to rear surface)
    3. find the effective focal length (1/power) from the system matrix

  4. Using the same lens, find the following:
    1. back focal distance
    2. location of principal planes
    3. the hiatus (distance bewteen principal planes)
    4. vertex length (from first to last surface)
    5. object/image distances for m = -1/6
    6. edge thickness of the three lens elements in the triplet

  5. Using the same lens, produce a drawing of the lens with the location of the principal planes superimposed.

Maintained by John Loomis, last updated 25 May 2011