Midterm Exam 1 for Optics - Fall 2007 | PHYS 355, Exams of Optics

Material Type: Exam; Class: OPTICS; Subject: Physics & Astronomy; University: University of Louisville; Term: Unknown 1989;

Typology: Exams

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Uploaded on 09/17/2009

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NAME:
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
1
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pf4
pf5

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NAME:

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

  1. The electric field of an electromagnetic wave (in S.I. units) is described by:

i ( x z t )

E x y z t E ey e

  1. 22107 1. 22107 3. 141015

× + × − ×

r

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?

  1. Experimental measurements of reflectance at a planar glass/air interface were done with a light beam incoming from the glass side (see sketch below). The experimental

data of reflectance for a p-polarized light beam ( Rp ) versus the angle of incidence ( θ i ) are

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

an angle of incidence of θ i = 400.

(10 points)