EE 233: Fiber Optics and Integrated Optics

News and Announcements:

The Sellmeier equation in Integrated Photonics has a typo. Click here for the corrected form.
Homework problems in Integrated Photonics can by found here.
Correction to Problem 3.20 in Integrated Photonics: Part (a), "thickest" should be "thinest". The corresponding problem in the old book is correct.
If you need some hlep on Problem 4.9, here is some hint: Go backwards, i.e., start from Ex then derive Ez. An example.
Presentation Information
HW4 is due on Wednesday, 11/8, 4:30 pm, in my office.
There is no class on Thursday, 11/16.
Midterm 2 is due on Thursday, 11/16, in my office or my mailbox.
I have double checked Problem 3 in Midterm 2, the equation is correct as typed.
If you have not signed up for your presentation yet, please contact me ASAP. Here is a copy of the presentation schedule.
You can get your grades here.

Description
Concepts and analysis of optical wave propagation in optical fibers and waveguides. Topics include geometrical optics description and electromagnetic theory of slab waveguides; modes, dispersion, and birefringence in optical fibers; mode coupling and gratings in fibers; wavelength-division multiplexing; nonlinear optics in fibers and solitons; semiconductor optical amplifiers and Er doped fiber amplifiers. (5 credits)

Intended audience: Graduate or advanced undergraduate students.
Prerequisite: EE135 and EE145 or instructor permission

Textbooks:

Integrated Photonics / Clifford Pollock and Michal Lipson (Required)
Fundamentals of Optoelectronics / Clifford R. Pollock (Out of print)

Reference books:

Photonics, Optical Electronics in Modern Communications / Amnon Yariv and Pochi Yeh.
Optical Waves in Crystals / Amnon Yariv and Pochi Yeh.
Fiber-Optic Communication Systems / Govind P. Agrawal.
Applications of Nonlinear Fiber Optics / Govind P. Agrawal.
Fundamentals of Optical Waveguides / Katsunari Okamoto
Nonlinear Fiber Optics / Govind P. Agrawal
Elements of Photonics, Volume II / Keigo Iizuka

Time: Tuesday/Thursday 10:00-11:45am

Location: Porter 250

Course Instructor

Claire Gu

253B Baskin Engineering Building

Phone: (831) 459-5296

E-mail: c laire@soe.ucsc.edu

Office hours: M 2-4 pm (tentative)

Course Expectations

Learning occurs by the active involvement of the student. The student is expected to come to class prepared to think and learn. The lecture period will be used to establish fundamental concepts. During lecture time, you will be asked to participate in solving problems. Always bring your calculator. It also is helpful to bring your textbook along.

To get the most out of this class, you need to read the assigned sections in the textbook before coming to class.

Working Together

You are encouraged to work in groups and discuss about the homework assignments. However, each has to write his/her own solution and fully understand them.

Academic Dishonesty
Any confirmed academic dishonesty including but not limited to copying homeworks or cheating on exams, will result in a no-pass or failing grade. You are encouraged to read the campus policies regarding academic integrity. Examples of cheating include (but are not limited to):

Sharing results or other information during an examination.
Working on an exam before or after the official time allowed.
Submitting homework that is not your own work.
Reading another student's homework solution before it is due.
Allowing someone else to read your homework solution before the assignment is due.

If there is any question as to whether a given action might be construed as cheating, see me before you engage in any such action.

Homework Assignments

Homeworks will be assigned and collected during class sessions. Late homework will not be accepted or graded. Homework is graded in terms of it being complete, well organized, readable and showing evidence of thoughtful attention to the problem itself. Sloppy submissions will not be considered for grading.

Homework 1

Summary on Vector Calculus

Lecture Notes

Lectures 1 and 2

Correction 1

Correction (Appendix A)

Lecture 3

Lecture 4

Correction [Eq. (6.18) in Integrated Photonics]

Lectures 5 and 6

Paper on the limit of fiber thickness

Lecture 7

Lectures 8 and 9

Reference on Coupled Mode theory

Link to Photonic Crystals Tutorial

Grading Method

The course will not be graded on a curve. It is possible for everyone to earn an "A" or for everyone to earn an "F".

Tentative Grading
Course Element:	Percentage of Course Grade:
Homework	25%
Midterm 1	25%
Midterm 2	25%
Final Presentation	25%
Total	100%

Additional Reference Materials
There are a number of other interesting Websites available. If you find others, let me know so they can be added to the list for next years' students!

A short history of fiber optics (http://www.sff.net/people/jeff.Hecht/history.html)

Tentative Schedule

Lect.

Date
Topic
Reading Assignment

Homework due

1

9/21

Introduction / Overview / Fundamentals

Pollock: 1.1-1.4

2

9/26

Fundamentals: Maxwell's Equations, The Wave Equation and Solutions, Phase Velocity and Group Velocity, Reflection and Refraction.

2.1-2.13

3

9/28

Optical Waveguides: Dielectric Waveguide, Slab Waveguides

3.1-3.12

4

10/3

Dispersion: Various Kinds of Dispersion

6.1-6.4

5

10/5

Optical Fibers -- Modes in Cylindrical Waveguides.

4.1-4.10

HW #1

6

10/10

Fiber modes, The Fundamental Mode,

7

10/12

Dispersion in Single-mode Fibers, Birefringence in Fibers.

6.5-6.7

8

10/17

Coupled Mode Theory: Coupled Mode Equations

10.1-10.4

HW #2

9

10/19

Directional Couplers, Fiber Bragg Gratings.

10.5-10.6

10

10/24

Nonlinear Optics in Fibers: SBS, SRS.

Agrawal 1.3, 2.3, 8.1, 9.1

Midterm 1

11

10/26

Dispersion Dominant Regime

Agrawal 3.1, 3.2, 3.3

12

10/31

c⁽³⁾ Nonlinearity, SPM

Agrawal 4.1, 4.2, 4.3

HW #3

13

11/2

Solitons and applications

Agrawal 5.2, 5.4

14

11/7

Rectangular Dielectric Waveguides

5.1-5.6

HW #4

15

11/9

Numeric Analysis: Beam Propagation Method, Finite Difference Time Domain Method.

9.1-9.10

16

11/14

Photonic Crystal Waveguides

13.1-13.8

17

11/16

No Class

Midterm 2

18

11/21

Final Presentations

11/23

Thanksgiving, no class

19

11/28

Final Presentations

20

11/30

Final Presentations

Claire Gu

Last updated: 11/8/2006

Lect.	Date	Topic	Reading Assignment	Homework due
1	9/21	Introduction / Overview / Fundamentals	Pollock: 1.1-1.4
2	9/26	Fundamentals: Maxwell's Equations, The Wave Equation and Solutions, Phase Velocity and Group Velocity, Reflection and Refraction.	2.1-2.13
3	9/28	Optical Waveguides: Dielectric Waveguide, Slab Waveguides	3.1-3.12
4	10/3	Dispersion: Various Kinds of Dispersion	6.1-6.4
5	10/5	Optical Fibers -- Modes in Cylindrical Waveguides.	4.1-4.10	HW #1
6	10/10	Fiber modes, The Fundamental Mode,
7	10/12	Dispersion in Single-mode Fibers, Birefringence in Fibers.	6.5-6.7
8	10/17	Coupled Mode Theory: Coupled Mode Equations	10.1-10.4	HW #2
9	10/19	Directional Couplers, Fiber Bragg Gratings.	10.5-10.6
10	10/24	Nonlinear Optics in Fibers: SBS, SRS.	Agrawal 1.3, 2.3, 8.1, 9.1	Midterm 1
11	10/26	Dispersion Dominant Regime	Agrawal 3.1, 3.2, 3.3
12	10/31	c⁽³⁾ Nonlinearity, SPM	Agrawal 4.1, 4.2, 4.3	HW #3
13	11/2	Solitons and applications	Agrawal 5.2, 5.4
14	11/7	Rectangular Dielectric Waveguides	5.1-5.6	HW #4
15	11/9	Numeric Analysis: Beam Propagation Method, Finite Difference Time Domain Method.	9.1-9.10
16	11/14	Photonic Crystal Waveguides	13.1-13.8
17	11/16	No Class		Midterm 2
18	11/21	Final Presentations
	11/23	Thanksgiving, no class
19	11/28	Final Presentations
20	11/30	Final Presentations