Homework #12

All problems MUST be in a SINGLE *.m file and be in separate blocks using '%% Problem X'. Otherwise you will not receive credit. You may need additional files for class definitions or functions. See class webpage for naming convention.

Contents

Problem 1

Laser light, which can be modeled as a plane wave, is incident on a finite width double slit. The wavelength of light is 633 nm. The slit width is 20 microns wide and the center of the slits are 100 microns apart. Use Huygen's principle to find the intensity of the light on a screen 10 cm away. Compare to the expected intensity disribution from theory. Normalize the intensity so that the maximum is equal to 1. Hint: Only calculate the intensity at the screen, not everywhere in between.

Problem 2

The file 'HW12Data.mat' contains two variables. 'Tvec' indicates the measurement time. 'Volts' is the measured data. Use a Fourier transform to find the the four frequency components that make up the signal.

Problem 3

Each student will submit a unique final exam project. The project must:

In a seperate PDF file, write a brief proposal for what you would like to do for your project. Address each point above. Do not include code at this time.