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Unformatted text preview: 1 School of Electrical and Computer Engineering, Cornell University ECE 303: Electromagnetic Fields and Waves Fall 2005 Homework 9 Due on Oct. 28, 2005 by 5:00 PM Reading Assignments: i) Review the lecture notes. ii) Review sections 6.4-6.5 of the paperback book Electromagnetic Waves . Special Note: Graders have been instructed to take off points (as much as 50%) if proper units are not included in your numerical answers. You must specify the correct units with your numerical answers. Problem 9.1: (Design of AR coatings) You have been hired by NASA for their top-secret spy satellite program. Your job is to design a Silicon CCD camera that can image any vehicle on Earth while in an orbit. Your first task is to design an AR coating for the camera. The AR coating has to be such that light incident from vacuum has zero reflection coefficient for the wavelength corresponding to green light (wavelength 0.52 m in vacuum). a) You choose a single dielectric layer quarter-wavelength thick to make the AR coating. What ought to be the refractive index and thickness (in meters) for this coating layer? b) Generate a plot of the reflectivity | | 2 vs the vacuum wavelength of the incident light to see how good the single layer AR coating performs for wavelengths other than the design wavelength of 0.52 m. Your plot should look like the one in the lecture notes (check to make sure) . To generate this plot you will need to write a Matlab routine to calculate the reflectivity for vacuum wavelengths starting from 0.3 m to 0.9 to 0....
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- Fall '06