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6.974 / 6.097 Fundamentals of Photonics: Quantum Electronics
Spring 2006
Octave Spanning, 5 Femtosecond Ti:sapphire Laser. MIT - Ultrafast Optics Laboratory. (Image courtesy of Richard Ell. Used with permission.)
Course Highlights
This course features a complete set of lecture notes. Quizzes and the final exam are also available in the exams section.
Course Description
This course explores the fundamentals of optical and optoelectronic phenomena and devices based on classical and quantum properties of radiation and matter culminating in lasers and applications. Fundamentals include: Maxwell's electromagnetic waves, resonators and beams, classical ray optics and optical systems, quantum theory of light, matter and its interaction, classical and quantum noise, lasers and laser dynamics, continuous wave and short pulse generation, light modulation; examples from integrated optics and semiconductor optoelectronics and nonlinear optics.
Syllabus
A list of topics covered in the course is available in the calendar.
Prerequisites
Requirements
The course will have 10 Problem Sets, 2 Quizzes, and Final Exam.
Grading Policy
The grade will be decided based on the results of two quizzes and final exam. The homework will or will not count towards the final grade, depending on the option you choose at the beginning of classes. The table below gives the emphasis that will be given to homework, quizzes, and the final exam in determining the final grade. Note that once you have chosen one of these two options, you will not be allowed to change your mind afterward.
activities | percentages | |
---|---|---|
"Homework" Option | "No Homework" Option | |
Homework | 20% | 0% |
Quizzes | 40% | 50% |
Final Exam | 40% | 50% |
Homework Policies
The class will have 10 problem sets which will be distributed during the lecture. Normally the solutions are due in the following week. If for some reason you cannot hand in the solution on time, please contact the teaching assistant before the solution is due. Solutions to the problems will usually be distributed at the next recitation.
As explained above, you will have a "no homework" option, in which case you will not have to solve problem sets. Note however that not doing homework is a bad idea because the homework is necessary to understand the material properly and also prepares you for the quizzes and the final.
Collaboration on problem sets is encouraged. However, you must write your own solutions to the problems rather then copying solutions from somebody else. Please cite all people with whom you have collaborated.
The problem set on which you get the lowest grade will not be counted towards the final grade. Only the top 9 graded problem sets out of the 10 problem sets you have to submit will count towards your final grade.
The grades for homework will depend not only on the correctness of the final result, but also on the ideas used in solution. If the idea is correct but there was some mathematical error during solution you still have a good chance of getting a good grade. It is a good idea to check the final result for physical consistency; if your answer is obviously wrong your grade will be low even if the initial ideas were correct.
The solution must have adequate explanations which demonstrate your approach towards the solution. This does not mean that you need to explain each equation you are writing. Doing so will provide us valuable feedback on your understanding of the concepts. Solutions without adequate explanations will be graded lower.
If you solve problems numerically, please always submit the code together with the results.
Quizzes and Final Exam
The class will have two quizzes and the final exam. The quizzes will be 1.5 hours long, the final exam will be 3 hours long. The problems in the quizzes and final exam are of the similar type than your homework.
Quizzes and final exam will be closed book, i.e. no books, class notes, or other materials are allowed. However, you may take one double-sided page of notes to the first quiz, two pages to the second, and three to the final exam. Using calculators is allowed. Cooperation of any kind is not permitted.
Calendar
lec # | TOPICS | KEY DATES |
---|---|---|
1 | Introduction | |
2 | Maxwell's Equations of Isotropic Media (Review) | Problem set 1 out |
3 | Electromagnetic Waves and Interfaces I (Review) | |
4 | Electromagnetic Waves and Interfaces II | Problem set 1 due Problem set 2 out |
5 | Mirrors, Interferometers and Thin-Film Structures | Problem set 2 due Problem set 3 out |
6 | Gaussian Beams and Paraxial Wave Equation | |
7 | Ray Optics and Optical Systems | Problem set 3 due |
8 | Optical Resonators | |
9 | Integrated Optics: Waveguides | Quiz 1 week Problem set 4 out |
10 | Integrated Optics: Coupled Mode Theory | |
11 | Optical Fibers | Problem set 4 due Problem set 5 out |
12 | Anisotropic Media: Crystal Optics and Polarization | |
13 | Quantum Nature of Light and Matter | Problem set 5 due Problem set 6 out |
14 | Schrödinger Equation and Stationary States | |
15 | Harmonic Oscillator and Hydrogen Atom | Problem set 6 due Problem set 7 out |
16 | Wave Mechanics | |
17 | Dirac Formalism and Matrix Mechanics | Problem set 7 due |
18 | Harmonic Oscillator Revisited | Quiz 2 week Problem set 8 out |
19 | Coherent States | |
20 | Interaction of Light and Mater the Two-Level Atom: Rabi-Oscillations | Problem set 8 due Problem set 9 out |
21 | Density Matrix, Energy and Phase Relaxation | |
22 | Rate Equations, Dispersion, Absorption and Gain | Problem set 9 due Problem set 10 out |
23 | Optical Amplifiers and Lasers | |
24 | Homogenous and Inhomogenous Broadening and Related Effects | Problem set 10 due |
25 | Q-Switching and Mode Locking | |
26 | Electro- and Acousto-Optic Modulation |
Readings
Help support MIT OpenCourseWare by shopping at Amazon.com! MIT OpenCourseWare offers direct links to Amazon.com to purchase the books cited in this course. Click on the book titles and purchase the book from Amazon.com, and MIT OpenCourseWare will receive up to 10% of all purchases you make. Your support will enable MIT to continue offering open access to MIT courses. |
Required Text
Class notes, available in the lecture notes section.
Recommended Texts
Saleh, B. E. A., and M. C. Teich. Fundamentals of Photonics. New York, NY: John Wiley and Sons, 1991. ISBN: 0471839655.
Hecht, E., and A. Zajac. Optics. 3rd ed. Reading, MA: Addison-Wesley, 1997. ISBN: 0201838877.
Griffiths, D. Introduction to Quantum Mechanics. 2nd ed. Upper Saddle River, NJ: Prentice Hall, 1995. ISBN: 0131118927.
Cohen-Tannoudji, C., B. Diu, and F. Laloe. Quantum Mechanics I. New York, NY: John Wiley and Sons, 1992. ISBN: 0471569526.
Additional Texts
Yariv, A. Optical Electronics in Modern Communications. 5th ed. New York, NY: Oxford University Press, 1997. ISBN: 0195106261.
Svelto, O. Principles of Lasers. New York, NY: Springer-Verlag, 2004. ISBN: 0306457482.
Haus, H. A. Waves and Fields in Optoelectronics. Upper Saddle River, NJ: Prentice Hall, 1983. ISBN: 0139460535.
Allen, L., and J. H. Eberly. Optical Resonance and Two-Level Atoms. New ed. New York, NY: Dover, 1987. ISBN: 0486655334.
Liu, Jia-Ming. Photonic Devices. Cambridge, UK: Cambridge University Press, 2005. ISBN: 0521551951.
Meystre, P., and M. Sargent, III. Elements of Quantum Optics. 3rd ed. New York, NY: Springer-Verlag, 1986. ISBN: 354064220X.
Lecture Notes
This section contains documents that could not be made accessible to screen reader software. A "#" symbol is used to denote such documents.
LEC # | TOPICS | LECTURE NOTES |
---|---|---|
1 | Introduction | (PDF)^{#} |
2-12 | Maxwell's Equations of Isotropic Media (Review) | (PDF - 2.5 MB)^{#} |
13 | Quantum Nature of Light and Matter | (PDF)^{#} |
14-16 | Schrödinger Equation and Stationary States Harmonic Oscillator and Hydrogen Atom Wave Mechanics | (PDF)^{#} |
17-19 | Dirac Formalism and Matrix Mechanics Harmonic Oscillator Revisited Coherent States | (PDF)^{#} |
20-22 | Interaction of Light and Mater the Two-Level Atom: Rabi-Oscillations Density Matrix, Energy and Phase Relaxation Rate Equations, Dispersion, Absorption and Gain | (PDF)^{#} |
23-26 | Optical Amplifiers and Lasers Homogenous and Inhomogenous Broadening and Related Effects Q-Switching and Mode Locking Electro- and Acousto-Optic Modulation | (PDF)^{#} |
Exams
This section contains the quizzes and final exam given in the course.
Quiz 1 (PDF)
Quiz 2 (PDF)
Final Exam (PDF)
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