P114-Morning –Summer’08

Extra Credit #6

Due August 21, 2008

Team #____________

Member #1_____________________

Member #2_____________________

Member #3_____________________

Member #4_____________________

-Only members with their names on this cover sheet will receive credits.

-Collaborations between team members are encouraged; however one or two authors will be responsible for one problem and may be asked to explain it.

-The authors should present the solution on a blank sheet with their names on it. Submissions from a same team should be stapled together

-Solutions should include “self-explained” diagrams/sketches, with minimal wording. Neat presentation will count toward the problem grading.

1.- Lenses: design a system in which you need to use two converging (convex) and one diverging (concave) to increase the beam size, that is, spread parallel light rays of a beam into a larger cross-sectional area. Draw the complete system of 3 lenses and trace two parallel rays limiting the beam coming in from the left throughout the system.

2.- Diffraction: what is the diffraction limit, what is its implication in building optical instruments such as a microscope, and a telescope.

3.- Interference: explain in details at least three practical applications of EM wave interference.