Course
OutlineThe
first handoutReferencesClasses
Schedule
Material
Covered and Selected Lecture Notes (2001)
Lecture
notes (1999-2000)Marking
SchemeAid
Sheets
Assignments (2001)
Old
Problem Sets
Practice
Problems (do not hand in!)
Midterm
Mini
Conference Topics
and Participants Update
Mini Conference
ProgramSolutions
Copies of lecture notes are available from the instructor
MIDTERM
When: Thursday, March 1st, 2p.m.
Where: MP137
Details: 1 hour, open book (2 books are allowed)
2001
Assignments and Solutions :
Assignment 1: Due
by 1p.m., 9 February, 2001Solutions
Assignment #2: due by
4 p.m., 11 April, 2001 SolutionsPage
1 Page 2 Page
3 Page 4 Page
5 Page 6 Page
7
Midterm Solutions
Material Covered
and Selected Lecture Notes [L-2001]
Topics covered | References | More (optional) |
Maxwell's Equations (Summary) | [G]7.3.3, 7.3.4 | |
Electromagnetic waves equations | [H]: Appendix 1, [H] 3.2 and 3.2.1 | [G] 8.2.1 |
Plane, spherical and cylindrical waves | [H]:2.7, 2.8, 2.9, 2.10 | |
Electromagnetic waves in medium
1. Dielectric material 2.Conducting material 3.Energy transfer, Poynting vector,
4.Group velocity |
[G]: 8.3.1 The modified wave equation (in conductors); 8.4.1(Dispersion)
; 8.4.2 (Dispersion in nonconductors); 8.4.3 (Free electrons in conductors
and plasmas)
[H]:3.3.1, 3.3.2, 3.3.4 |
Radiometric units, Colorimetry |
Reflection and Refraction (electromagnetic approach) | [H]: 4.6.1- Waves at an Interface; 4.6.2, 4.6.3-The Fresnel Equations
and their interpretation: amplitude coefficients, phase shifts, reflectance
and transmittance at the dielectric-dielectric interface; 4.7- Total
Internal Reflection, Critical angle; 8.6-Polarization by Reflection, Brewster
angle; 4.7.1-Evanescent Wave, Frustrated Total
Internal Reflection.
[H] 4.8-Optical Properties of Metals, Reflection from a metal (Mirrors) |
|
Polarization | [H]-8.1.1., 8.1.2., 8.1.3.- Linear, Circular and Elliptical Polarization,
Natural Light.
Linear Polarizers, 8.2.1.-Malus's law, 8.7.1.- Wave Plates. Mathematical Treatment of Polarization: [H]-8.12.2, 8.12.3-Jones Vectors and Jones Matrices |
More About Polarization Mechanisms:
[H]-8.3.2., 8.3.3.Dichroism (selective absorption) 8.4.1,8.4.2-8.5.1. Birefringence 8.5.1-Polarization by Scattering 8.12.1-Stokes treatment of Polarization |
Interference | [H]9.1-Interference (general),
9.2.1-Temporal and Spacial Coherence, 9.3.1- Young's Experiment (two slits), Amplitude-Splitting , Dielectric Films: 9.4.1.- Double-beam Interference, Fringes of Equal Inclination, Fringes of Equal Thickness; 9.6.-Multiple Beam Interference, 9.7- Single and Multilayer Films, 9.7.1 -Boundary conditions + matrix treatment, 9.7.2- Antireflection Coating (Applications); Wavefront-Splitting Interferometers: 9.4.2-Michelson Interferometer; Amplitude-Splitting Interferometers: 9.6.1- Fabry-Perot Interferometer. |
[H]9.7.3-Multilayer Periodic Systems |
Diffration | Fraunhofer Diffraction
[H]-10.2: single slit, double slit, rectangular and circular apertures, grating, resolution Fresnel Diffraction, [H]- 10.3
|
more on Fraunhofer Diffraction,
Fourier Transforms and Fresnel Diffraction more on Fresnel Zones |
Gaussian Optics | Paraxial Approximation, Lenses, Mirrors, Prisms,Analytical Ray
Tracing
Gaussian Beams, Gaussian Beams (Higher Order) |
Tuesday (Lecture) | 2.00pm | MP137 |
Wednesday (Tutorial) | 4:00pm | MP137 |
Thursday (Lecture) | 2:00pm | MP137 |
Almost all documents on this web site are in portable
document format and require the Adobe Acrobat Reader to view. You can obtain
the latest version of the reader from http://www.adobe.com/
You will work in the groups of 2 or 3 people researching a topic
in optics. A list of suggested
topics is below, but you may choose
another topic after a consultation with me. You will present
the result of your study in a short oral presentation to your classmates
and your instructor and in a written report .The group of 2 students will
be given 15 minutes for the presentation and the group of 3 students
will be given 20 minutes. Each presentation will be followed by 5 minute
question period. Each person in the group should give some part of the
presentation. However, each presentation will be evaluated as a whole,
not a separate mark for each person. No single person should monopolize
an an excessive amount of the group's presentation time. Attendance
at all presentation is required. Each group should distribute workload
so that it is evenly shared.
The mini conference will take place during the week of March 18th
(tentatively on Tuesday, March 20 and Wednesday, March 21).
The exact place and duration of the conference will be determined
later depending on the number of teams. An overhead projector will be available
in the room. The order of the presentations will be decided at random ten
days prior to the event. The list will be posted at our website and
will be distributed during our lectures.
In the week following your oral presentation each team should
prepare a written presentation (an “extended abstract” of no more
than 5 typed pages (plus diagrams, if any, standard word processor line
spacing l2pt type or larger, 25.4mm margins all round)).
The deadline for the paper submission is March 30, 2001. The written
presentation should cover the material of your oral presentation.
It will be marked as a joint effort of each team.
Please inform me about your choice of topic and teammates (in class
or via e-mail) by March 1st, 2001.
The Physics of the Human Eye - James Gordon and
Navindra Persaud
Infrared Optics
Waveguides- Behi Fatholahzadeh, Ken Clark and
Chi-Hung Chan
Fabry-Perot Interferometers
Achromatic Optics
Twinkle, Twinkle Little Star - Light in the Atmosphere
-John Liska and Akos Bakos
The Physics of Sunglasses
Manufacture and Testing of Large Mirrors
Radiation and Antennas - Elanie Morrison
Modern Optical Design
Fiber optics
Colors and Their Perception - Patrick Gill and
Chris Harlow
Optical Activity
Holography ? - Asif Hussain
Topics and Participants Update
1. The Physics of the Human Eye - James Gordon
and Navindra Persaud
2. Twinkle, Twinkle Little Star ( Light in the
Atmosphere) - John Liska and Akos Bakos
3.Waveguides- Behi Fatholahzadeh, Ken Clark and
Chi-Hung Chan
4.Radiation and Antennas - Elanie Morrison
5.Colors and Their Perception - Patrick Gill
and Chris Harlow
6.Holography ? - Asif Hussain
7.Photonic Band Gap Materials - Christino
Torti and Carl Austin
Mini
Conference Program
Tuesday, March 20, 2001
2 p.m. - 3 p.m.
MP 137
and
Wednesday, March 21, 2001
4 p.m. - 7 p.m.
MP 408
Tuesday, March 20, 2001
2 p.m. - 3 p.m.
MP 137
1. 14.10 -14.25 Holography
- Asif Hussain
2. 14.30- 14.50 Twinkle,
Twinkle Little Star ( Light in the Atmosphere) - John Liska and Akos Bakos
Wednesday, March 21, 2001
4 p.m. - 7 p.m.
MP 408
3. 16.10-16.30 Colors and
Their Perception - Patrick Gill and Chris Harlow
4. 16.35-16.50 Radiation
and Antennas - Elanie Morrison
5. 16.55-17.20 Waveguides-
Behi Fatholahzadeh, Ken Clark and Chi-Hung Chan
6. 17.25- 17.45 The Physics of
the Human Eye - James Gordon and Navindra Persaud
7. 17.50 -18.10 Photonic Band Gap
Materials - Christino Torti and Carl Austin
Closing
One speaker- 10minutes
Group of two - 15 minutes
Group of 3 - 20 minutes
5 minutes question period after
each talk
REFERENCES:
1.Textbook: Optics - E. Hecht - Addison Wesley - 1998 - ISBN
0 201 83887 7 (app. $120) [H]
2. Introduction to Electrodynamics - D.J.Griffiths- (2nd edition or
later)(selscted topics only) [G]
3.Lecture notes (2000-2001) [L-2001] (current)
4. Lecture notes (1999-2000) [L-2000](last year)
Lecture 1Lecture
2Lecture
3Lecture
4Lecture
5Lecture
6Lecture
7Lecture
8
Lecture 9Lecture
10Lecture
11Lecture
12Lecture
13Lecture
14Lecture
15Lecture
16
Lecture 17Lecture
18Lecture
19Lecture
20Lecture
21Lecture
22Lecture
23Lecture
24
Lecture Note Corrections:
Lecture 16: Finesse Expression should read: F = p2 R/(1-R)2
Lecture 19: Fresnel Bright zones occur for Re(exp(iy ))>0 which requires 0 < y < p /2
Problem Set 1 (2000) Solutions to Problem Set 1
Problem Set 2(2000) Solutions to Problem Set 2
Midterm(2000) Midterm (additional) Solutions to Midterm
Week | Section | Topic | Application | Mathematics
Required |
Reading |
1 | Review | Review Maxwell’s Equations | Vectors | ||
Wave Solutions | ODE, PDE | ||||
Scalar &Vector Waves | Plasmas, Metals,
Dielectrics |
||||
Plane, Spherical & Cylindrical Waves | |||||
2.5 | Light Fantastic | Reflection | Metals & Mirrors | ||
Refraction | Brewster Windows | ||||
Jones Matrices, Polarization | Polaroid sunglasses | Matrix Algebra | |||
4 | Interference | Wavefront, Amplitude, films | Optical coating | ||
Fabry-Perot | |||||
Michelson | FTIR spectrometer | ||||
5 | Diffraction | Gratings, etc | laser-like beams | ||
6 | Gaussian optics | Paraxial Wave Equation, Gaussian Beams | |||
7 | Boundaries & Resonance | Waveguides & Cavities | Waveguides & Cavities | ||
8.5 | Magnetics | Klystrons, cyclotrons | Microwave Ovens | ||
9.5 | Vector Potential | Earth, radiation, Dipole Radiation | Antennas, Whistlers | ||
11 | Four vectors | Ferromagnets |
PHY 353S ELECTROMAGNETIC WAVES
(1001 things to do with Maxwell’s Equations)
Instructor: Tetyana Antimirova
TA: Barry Bruner
January- 2OO1
Introduction
Maxwell’s equations and their solution in terms of electromagnetic
waves are the mathematical foundation of a surprisingly large amount of
the technology in our society. Examples are: optical systems, radio communications,
optical fiber systems, computer displays, holograms and laser systems.
We will not have time in this course to delve into all these areas, so
our examples will be selective and somewhat idiosyncratic. This course
follows PHY352F, but is not intended as “Part 2” of that course. The development
we will be following is somewhat different and the issues that we deal
with are different as well.
In this course we will cover three broad areas: The theoretical basis of Maxwell’s equations, ray optics and optical systems. We might stray a little into laser systems if there is time.
Assignments (2 problem sets) 30%
Mid-Term (February) 20%
Paper 20%
Final Exam
30%
TOTAL 100%
Course Providers
Instructor: Dr.Tetyana Antimirova
Rm. MP 251A
phone: 9464071
e-mail: antimirova@physics.utoronto.ca
I am in charge of the course. I will lecture the course,
I will prepare problem sets, exams etc. I am also
available for consultation, etc. I will mark your final exam.
TA: Mr. B. Bruner
phone: 978-0353
e-mail: bruner@frontenac.physics.utoronto.ca
Mr.Bruner will do the marking (assignments and midterms) and run the
problem-solving sessions
(tutorials). As a matter of procedure, Mr. Bruner is not allowed to
alter marks once work has been
returned to you.
Communications - Please don’t hesitate to contact me during my office
hours (tentatively on Tuesdays
from 1p.m. to 2p.m.). I have rather busy teaching schedule and therefore
it might be difficult to find me
outside my office hours, but you can always try to arrange the
appointment in advance. I am committed
to working with you and helping you achieve the course objectives.
World-Wide Web. There is a simple web site set up for this course and
we will all try to publish as much
material as we can on that site. Lecture notes and last additions
(as we go), problems sets (current and
old), additional handouts, noted problems, all announcements,
etc will go on that site. The format will be
mostly plain HTML, .doc files or “PDF” files (Portable Document Format).
You can get the latest PDF
reader from www.adobe.com –
Examinations and tests will be “open book” -
There will be some limitations!!
Penalties
For any piece of work a penalty of 2% of the grade per working
day. After one week the work will not be accepted. Exceptions must be requested
at least 24 hours before the deadline and may or may not be granted.
REFERENCES
Out main textbook: Optics - E. Hecht - Addison Wesley - 1998 -
ISBN 0 201 83887 7 (app. $120)
A new edition of an old favorite - has a lot of very useful material
- the older editions were good as well.
For several selected topics we will also use Introduction to electrodynamics by Griffith.
Lecture notes posted on the website is a valuable resource.
Optional reading
Some supplementary reading (optional) is always a good idea. Here
are some texts which you might find useful to consult from time to time:
-
Insight into Optics - 0.5. Heavens and R.W. Ditchburn - Wiley - 1991
- ISBN 0 471 92769 4/0 471 92901 8 (app. $100) Ditchburn’ s “Light” was
for many years a standard text - this is a severely updated version - don’t
let the title fool you, there is a lot more than optics here.
Electricity - C. Coulson and T.J.M. Boyd - Longman - 1979 - ISBN 0 835 76103 7 (out of print) (app. $190) All the best books are out of print! Coulson is concise and precise in both his mathematics an his explanations
A Treatise on Electricity and Magnetism - J. C. Maxwell - Dover (Reprint)
- 189 1/1954 - ISBN 0486 60636 8 (app. $20) Why read a copy when you can
get the original courtesy of the Dover reprint machine! A very long book
covering more than we will and leaving out everything that Maxwell didn’t
know!