MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.71 Optics
Problem Set #8
Spring 09
Posted Wednesday, April 29, 2009 Due Wednesday, May 6, 2009
1. In a di ractionlimited imaging system, the contrast is measured at spatial frequency 25mm and it is found to be 68.75
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.710 Optics
Solutions to Problem Set #1
Spring 09
Posted Wednesday, Feb. 18, 2009
Problem 1: Spherical waves and energy conservation
In class we mentioned that the radiation from a point source can be characterized
b
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.710 Optics
Problem Set #1
Spring 09
Posted Feb. 9, 2009 Due Wednesday, Feb. 18, 2009
1. Spherical waves and energy conservation We mentioned in class that the
amplitude of the electric eld describing a plane wave re
3.052 Nanomechanics of Materials and Biomaterials
Assignment #5 Due 05.01.07
3.052 Nanomechanics of Materials and Biomaterials: Spring 2007
Assignment #5
Due Date: Tuesday 05.01.07
You are encouraged to use additional resources (e.g. journal papers, inter
Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6.013 Electromagnetics and Applications
Problem Set #11
Fall Term 2005
Issued: 11/29/2005
Due: 12/9/05
Suggested Reading Assignment: Staelin, Sections 6.1-6.4,
3.052NanomechanicsofMaterialsandBiomaterials
Assignment#4Due04.24.07
3.052 Nanomechanics of Materials and Biomaterials: Spring 2007
Assignment #4 Solutions Due Date:
Thursday04.24.07
Youareencouragedtouseadditionalresources(e.g.journalpapers,internet,etc.
Welcome to the rst 3.185 test of Fall 2003. Do not open this until you are told to begin.
0 Total time for answering test questions is 50 minutes.
0 This is an inclass, closednotes, closed book test, and you may not consult others during it, though
you ma
6.013/ESD.013J Electromagnetics and Applications
Fall 2005
Problem Set 11 - Solutions
Prof. Markus Zahn
MIT OpenCourseWare
Problem 11.1
A
Figure 1: Impedance model. (Image by MIT OpenCourseWare.)
V0
VRMS =
2
P =
2
VRMS
= VRMS =
Rr
= V0 =
P Rr
(2)(70)(105
2.71 Optics
Problem Set 8 Solutions
1. (a) For a diraction limited system the slopes of the OTF are constant.
m
u=25mm
= 68.75% = 0.6875
1
x i
1h
Iin =
1 + cos 2
2
in = 1 (u) + 1 u 1 + 1 u + 1
)I
2
4
4
out = Iin OTF = 1 (u) + a u 1 + a u + 1
I
2
4
4
0
1