Exam preparation: 

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, Irradiance, Power, Presuure and Momentum 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  Propagation of Spherical wave,  Rectangular aperture, Cornu spiral,Singlr slit, Semi-infinite obstacle, Circular aperture, Vibration curve, Cicular obstacles, Fresnel zone plates,Babinet Principle; 10.4-Scalar diffraction theory	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)

Old Problem Sets:

                                            2001   CLASEES SCHEDULE
 

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/
 

MINI CONFERENCE

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.
 

Here are some possibilities:

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 notes (1999-2000):

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

Old Problem Sets:

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

Problem Set 1 (1999)

Problem Set 2 (1999)

COURSE OUTLINE
 

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

THE FIRST HANDOUT

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.

MARKING SCHEME

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!