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Unformatted text preview: question you can use the applet at:
For the applet, set the slit width to 0.1 (small enough that the slits are approximately point sources)
and wavelength to 10.
(d) A CCD camera is placed 1 m away from the slits. The pixel size is 20 microns, what is the wavelength
resolution of this CCD+slit spectrometer if the fringes were inﬁnitely sharp? Again assume a slit
separation of d = 50µm and that the 10 µm fringe is at the middle of the CCD. 2 6.007 Spring 2011 Problem Set 7 Problem 7.3
Plane waves from the same source can form an interference pattern (subject to some conditions we’ll ignore
here). In practice that means that when waves reﬂect from boundaries a standing wave pattern can be
formed on the side of the boundary containing the incident and reﬂected waves.
The ﬁgures on the next page indicate the standing wave patterns resulting when an incident wave in medium
1 with amplitude equal to 1 V/m is incident on an interface. Label the graphs (a)-(d) to match them with
the description detailed below. Note that not all ﬁgures have a description (10 ﬁgures, 4 descriptions).
x Medium 1 Medium 2 z Image by MIT OpenCourseWare. (a) Plot of |Ey,total | with medium 1 being air, medium 2 n2 = 2. Normal Incidence
(b) Plot of |Ey,total | with medium 1 n1 = 2, medium 2 being air. Normal Incidence
(c) Plot of |Ey,total | with medium 1 being air, medium 2 being a perfect conductor
(d) Plot of |Hy,total | with medium 1 being air, medium 2 being a perfect conductor 3 6.007 Spring 2011 Problem Set 7 2 2
0 0 2
z 0 1.33 0.95 8 0.67
0 z 0 2 2 3 z z z 0
2.85 4 1.33
0 z 2 z 2 5 10
0 z 0 z Image by MIT OpenCourseWare. 4 6.007 Spring 2011 Problem Set 7 Problem 7.4 Mach-Zehnder Interferometer
Mach and Zehnder propose to use an interferometer to measure how much sugar is in a SUGAR-WATER
sample as compared to a control sample containing only WATER. The basic idea is to split a beam of light
into two beams (which are initially in phase), and send each through an identical path length, and then...
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- Spring '11