PHYS 355 Midterm: PHYS 355 Louisville Exam 201

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15 Feb 2019
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Mid-Term Exam 1 PHYS 355 - OPTICS
Mendes, Fall 2013, Oct 04
Start time: 10:00 a.m.
End time: 10:50 am
Open textbook, notes, homeworks, and quizzes
Calculators allowed; no other electronic device allowed
Where it is appropriate, make sure to provide physical units to your numerical answer
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2/8
(total = 50 points)
1) The electric field of an electromagnetic plane wave propagating in a certain medium is
described by:
7 7 15
1.22 10 1.22 10 3.14 10
0ˆ
( , , , ) i x z t
y
E x y z t E e e  
in S.I. units.
(5/50 points)
a) What is the time period for one full cycle of this wave?
(5/50 points)
b) What is the wavelength of this wave in this medium?
(5/50 points)
c) What is the velocity of this wave in this medium?
(5/50 points)
d) What is the refractive-index of the medium?
(15/50 points)
e) Determine the Cartesian components of the magnetic field associated with this
electromagnetic wave?
(15/50 points)
f) If E0 = 50 V/m, what is the power per unit area that one would measure for this
electromagnetic wave?
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3/8
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Document Summary

Mid-term exam 1 phys 355 - optics. Where it is appropriate, make sure to provide physical units to your numerical answer. 1/8 (total = 50 points: the electric field of an electromagnetic plane wave propagating in a certain medium is described by: 5/8 (total = 50 points: experimental measurements of reflectance at a planar glass/air interface were performed with the light beam incoming from the glass side (see sketch below). The experimental data of reflectance for the light beam polarized in the plane of incidence ( ) versus the angle of incidence ( i ) are summarized in the plot below: By using the refractive index you previously determined, then perform the calculations to predict what the reflectance will be at an angle of incidence of. 015 i (20/50 points: also at the perpendicular polarization for the light beam, predict what the transmittance will be at an angle of incidence of.

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