Lens Report
Monday, August 9th, 2004
Following this procedure, we derived the image distance, shown here:
This formula illustrates many things about the relationship of image and object distance. First of all, image and object distance are interchangeable in the formula. We can also make some statements about the object distance if the determinant is set equal to zero. If d is equal to 4f, then there is one focus. If d is less than 4f, then there are no focal points because the discriminant is negative, so the image distance is imaginary. If d is greater than 4f, there are two focal points. Once again, all of these statements can be made for either d or i.
After the derivation, Dr. Noé suggested that we use Danielle's
carriage to illustrate the relationship between image size and
distance from the lens. As the lens was moved so that the light source
was between f and 2f and then outside 2f, we watched the image size
dilating and then contracting as it approached the focus. Then,
Dr. Noé suggested that we all take data points so that we could
compare our values for the focal length of the lens. Here is our data:

Anirudh Ramesh Danielle Bourguet Matthew Whitrock Jon Wu Yaagnik Kosuri 