Assignment 1

Problem 1:

A double concave lens is specified by the values R1 = -50 mm, R2 = +50 mm, thickness d = 15 mm and index of refraction n = 1.5.  Find the location of the principal planes and the effective focal length.

Problem 2:

The speed = diameter/(focal length) of an optical system is a measure of its ability to collect light.  Use OSLO LT to design a speed = f/4 doublet focusing lens working at 0.6328 microns, with an effective focal length of 60 mm covering essentially zero field of view.  Follow the instructions given in this tutorial from Sinclair Optics but make the appropriate changes when you enter the surface data.   Show your surface data and a lens drawing.

Note:

The axial ray, also called the marginal ray, is a ray from the center of the object surface through the edge of the paraxial entrance pupil. The chief ray, also called  the principal ray, is a ray from the edge of the object surface through the center of the entrance pupil.  In this problem the object is essentially an on-axis point source at infinity.

Problem 3:

To redirect the beam add a reflecting prism and a mirror to your design from problem 2, as is done in this tutorial from Sinclair Optics.  Show your surface data and a lens drawing.

Problem 4:

A thin positive lens with diameter 1 in. and focal length 2 in. covers the end of a 1-in,-diameter tube that is 5 in. long.   The closed end of the tube is pointed towards the object.  Find an expression for the location of the aperture stop as a function of the object distance.