Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE318$ Fundamentals of Optics
Final Exam
April 30, 2008
Exam Type: X
(Non-programmable calculators are allowed)
Exam Duration: 2 1/2 hours
Marks:
Q3 Q4 Total
20 100
Name
ECE 318 Tutorial 10 Solutions
Mar. 26 & 28, 2013
Exercises:
1) Assume normal incidence. A 180deg phase shift is expected at each interface of increasing
refractive index. Hence, the equation for destructive interference of the rays from the first and
seco
ECE 318 Tutorial 7 Solutions
Mar. 5 & 7, 2013
Exercises:
1) Hecht 4.48:
2) Pedrotti 23.15:
`
Subtract 180o-41o, -28o and 0o
3) Pedrotti 23.16:
! Convert Pedrotti Solutions above to
Hecht using the two equations on right and
subtracting:
This is equivalent
ECE 318 Tutorial 5 Solutions
Feb 5, 2013
1) (a)
= 550nm , n = 1
c
= = 5.45 1014 [Hz ]
2
k=
a y = 1.14 10 7 m 1
[ ]
rad
= 2 = 3.43 1015
s
V
E 0 = 600
m
E
0
1
A
H0 = 0 =
E0 =
E0 = 1.59
0
377
m
E( y, t ) = E0 cos(ky t + )a z
E (0,0) = E0 c
Tutorial 12 Solutions
April 7, 2016
ECE 318
The 3rd order violet appears before (smaller angle) than 2nd order red. Note: the 3/2 factor on
increasing order is not big enough to compensate for the factor of ~1/2 change in wavelength
2
3.
4.
X
Pedrotti 9.1
Tutorial 4 Problems
Jan. 28, 2016
ECE 318
Test 1 (Feb 4 Jan. 28): Topics (Final): All of Geometric Optics including Matrix Optics and Thick
Lens. Relevant textbook sections can be found topic-by-topic on Course Content Guide (Course
Handout). Read the tex
Tutorial 6 Problems
Feb. 11, 2016
ECE 318
Exercises: These easier problems will assist with your learning (solutions are in Hecht but are
incorrect for 8.1(d) and 8.41):
8.1, 8.3, 8.21, 8.37, 8.53, 8.66
Notation:
- Hechts angle = y - x is the same as in c
Tutorial 3 Solutions
Jan 29 / 31, 2013
1)
ECE 318
See textbook for solutions to 5.60, 5.75, 5.77, 5.81, 5.86
5.39 These are two examples of beam expanders with magnification -f2/f1. Parallel rays entering lens 1
converge to focal point and then diverge to
Tutorial 12 Solutions
April 9, & 11, 2013
ECE 318
2
3.
4.
X
Pedrotti 9.11:
5.
6.
(a) S1, S2, and S3, respectively;
(b) Filter 2;
(c) Since Filter 1 is a low-pass filter, the low-frequency components are less attenuated than the
high-frequency components.
Tutorial 6 Problems
Feb. 26 / 26, 2013
ECE 318
Midterm: Friday March 1, 6:30-8:00 PM, Room EX 320;
Aid Sheet: less than two sides of 8.5x11 sheet, hand written only
Topics: All course material to end of Section 11 (Polarization), Tut. 1-6, Lab 1.
Exercise
Tutorial 9 Problems
Mar. 19 & 21, 2013
ECE 318
Exercises: These easier problems will assist with your learning (solutions in Hecht):
9.4, 9.7, 9.33, 9.35,
1. HECHT: 9.10, 9.14, 9.25, 9.27 (use nglass = 1.5), 9.32, 9.37
2. Interference of two coherent plan
Tutorial 4 Problems
Feb. 5 / 7, 2013
ECE 318
Test 1: Will examine Geometric Optics up to the end of the Jan. 31 lecture. To study, all course notes
and relevant textbook sections are posted on Blackboard. Read the text only as deeply as covered in
the cla
Tutorial 12 Problems
April 9, & 11, 2013
ECE 318
Last Lecture April 11: course review and teaching evaluation.
Exercises:
These easier problems will assist with your learning (solutions in Hecht):
10:10, 10.16, 10.18, 10.23, 10.32, 10.39
1. Hecht: 10.11,
Tutorial 8 Problems
Mar. 12 & 14, 2013
ECE 318
Objectives for Tutorial 8
- Welcome T.A. Peyman Sarrafi
- Review any gaps remaining in the Tutorial 7 questions.
- Lab 3 on Interference runs in parallel with the lectures on Interference. To prepare for the
Tutorial 1 Solutions
Jan 15 / 17, 2013
1)
ECE 318
The distance from focus 1 to any point on the surface of the ellipse and then to the second focal point is
constant. This sum of distance times the refractive index of the medium in the ellipse is the opti
Tutorial 5 Problems
Feb. 12 / 14, 2013
ECE 318
Exercise: verity the time average functions in Hecht 3.10
1) a) A 550-nm harmonic EM-wave whose electric field is in the z-direction is travelling in the ydirection in vacuum. (a) What is the frequency of the
Tutorial 3 Problems
Jan 29 / 31, 2013
ECE 318
1) The following problems from Hecht are exercises of simple to medium difficulty that will test your
knowledge as you study the eye, magnifying lens, microscope and telescope:
Solutions in the textbook:
5.60,
Tutorial 10 Problems
Mar. 26 & 28, 2013
ECE 318
Test 2: held during both Tutorials this week, during 2:30 to 3pm
- Exams Sections 12 (Fresnel Eqns) and 13 (Interferometry)
- Aid Sheet: single 8.5 x 11 sheet, both sides, handwritten only
Exercises:
These e
Tutorial 5 Problems
Feb. 4, 2016
ECE 318
Exercise: verify the time average functions in Hecht 3.10
1) a) A 550-nm harmonic EM-wave whose electric field is in the z-direction is travelling in the ydirection in vacuum. (a) What is the frequency of the wave?
Tutorial 3 Problems
Jan 21 / 28, 2016
ECE 318
Jan 21: Magnifying power of eye and eyepiece: all questions except Telescope/Microscopes
Jan 28: Telescope/Microscope questions: Hecht: 5.65, 5.77, 5.88, and question 3 below
1) The following problems from Hec
ECE318S Tutorial 11 Problems
Week of Mar 24, 2016
1) Pedrotti 11-1:
A collimated beam of mercury green light at 546.1nm is normally incident on a slit 0.015cm wide. A lens
of focal length 60cm is placed behind the slit. A diffraction pattern is formed on
Tutorial 8 Problems
Mar. 11 & 13, 2014
ECE 318
Objectives for Tutorial 8
- Review any gaps remaining in the Tutorial 7 questions.
- Lab 3 on Interference runs in parallel with the lectures on Interference. To prepare for the lab,
you will need to go ahead
ECE 318 Tutorial 5 Solutions
Feb 11/13, 2014
1) (a)
= 550nm , n = 1
c
= = 5.45 1014 [Hz ]
! 2
k=
a y = 1.14 10 7 m 1
[ ]
rad
= 2 = 3.43 1015
s
V
E 0 = 600
m
E
0
1
A
H0 = 0 =
E0 =
E0 = 1.59
0
377
m
!
E( y, t ) = E0 cos(ky t + )a z
E (0,0)
Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE 318 - Fundamentals of Optics
Class Test 1a
January 28r 2015
Time Allowed: 30 minutes.
Name:
Student Number:
Answer
All
Questions in the space provided in this book.
Clearly state a
Tutorial 2 Solutions
2014
1)
2)
3)
ECE 318
See textbook for solutions!
Table 5.3 Hecht
(0.40mm)/(10.0mm) = R/300 mm); R = 1.2cm. So, the diameter is 2.4 cm
5.38 is designed strangely as
probably a 50 cm separation is
better. The solution as given:
s02 = -
ECE 318 Tutorial 6 Solutions
Feb 25, 27, 2014
1)
ne
8.41 Hecht Solution was wrong; correct one is:
1st polarizer passes 50% of unpolarized light to create vertical poln (0 angle)
1st quarter wave (/40): rotates polarization by +2 /40 from 02/40
2nd quarte