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Unformatted text preview: OPTI 280 Assignment 8 Spring 2010 Due Date: 3/29/2010, 1:00 PM Each assignment is worth 100 points. Assignments that are handed in late will be penalized 15 points per week. NOTE: To receive full credit for any problem, you must hand in printouts of all programs you are asked to write as well as printouts of all command window output and any plots that the programs produce. All programs must conform to the programming rules handed out at the beginning of the semester. Write the answers to the question(s) associated with each problem at the end of program for that problem (on the same sheet, if possible). Read sections 26, 27 and 28 in the MatLab Tutorial and section 8.2 of Herniter to get an overview of the materials covered in this assignment. 1. If an object is placed at a distance z from a lens and an image is formed at a distance z from the lens, the lens focal length can be found as f = zz z- z (a) Use the general rule for propagation of error to derive a formula for the uncertainty f in terms of z , z , and their uncertainties, z and z . (b) For each of the two cases below, make a three dimensional surface plot of f for z =- 2 to 2cm and z =- 2 to 2cm: i. z =- 15cm and z = 15cm ii. z =- 25cm and z = 18cm You can use MatLab functions meshgrid () and mesh (). Turn in the plot with labels. (c) To minimize the propagation of error and thus the uncertainty f on the focal length, one needs to measure the values of z and z with the smallest possible uncertainties z and z respectively....
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This note was uploaded on 05/23/2010 for the course OPTI 280 taught by Professor Pau during the Spring '10 term at University of Arizona- Tucson.
- Spring '10