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Material Type: Exam; Class: OPTICS; Subject: Physics & Astronomy; University: University of Louisville; Term: Unknown 1989;
Typology: Exams
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Mid-Term Exam 1 – PHYS 355 - OPTICS
Mendes, Fall 2007, Sept 24, 2007
Start time: 9:30 a.m.,
End time: 10:45 am
Open textbook, notes, homeworks, and quizz
Calculators allowed; no other electronic device allowed
When it is appropriate, make sure to provide physical units to your numerical answer
× + × − ×
a) What is the angular frequency, ω?
b) What are the Cartesian components of the k-vector, k
r ?
c) What is the magnitude of the k-vector, k k
r =?
d) What is the wavelength, λ?
e) What is the phase velocity, vphase?
f) What is the refractive-index of the medium in which this wave is propagating?
g) What are the Cartesian components of the magnetic field associated with this electromagnetic wave?
summarized in the plot below:
0
1
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 Angle of Incidence (degrees)
Reflectance (Rp)
Based on the experimental data above and considering that the refractive-index of air is na = 1.00, then:
a) Determine the Brewster angle. (5 points)
b) Determine the critical angle. (5 points)
c) Using the Brewster angle, determine the refractive-index ng of the unknown glass. (5 points)
d) Using the critical angle, confirm your result for the refractive-index ng of the unknown glass (you may have a small discrepancy in your results due to lack of precision in reading the angles in the plot; don’t worry about a small discrepancy). (5 points)
e) If the polarization of the light beam is switched to s-polarization, predict what the reflectance will be at an angle of incidence of θ i = 200.
(30 points)
f) Also at the s-polarization for the light beam, predict what the transmittance will be at
(10 points)