OPTI 512R

8/08

OPTI 512R. Linear Systems, Fourier Transforms (3) I. Mathematical background; convolution; the Fourier transform; linear filtering and sampling; two-dimensional operations; diffraction; image formation.
P, Math 223; PHYS 142, 241.

Instructor:

J. Scott Tyo, Associate Professor
Meinel 623
626-8183
Office Hours:
Monday 10:30 – 11:30, Thursday 2:00 - 3:00
tyo@optics.arizona.edu

1. Course Objectives

a. Knowledge of the principles of operation of linear, shift-invariant systems.

b. Detailed understanding of the Fourier transform and related operations and

how they apply to signal processing and performance of optical systems.

c. Understanding of the discrete representation of the Fourier transform and how

to implement Fourier methods on a computer.

d. Understanding of the fundamentals of the propagation and diffraction of

electromagnetic waves

e. Familiarity of the physical optics basis for performance of image-forming

systems

2. Textbook

We will be using several chapters from Gaskill’s Linear Systems, Fourier Transforms, and Optics in the first half of the course, then we will use some material from Goodman’s classic text Introduction to Fourier Optics in the second half. The portions of these texts that we will be using have been formed into a course pack that will be available in the bookstore for approximately $20. Students are encouraged to purchase the full textbooks if they have the means.

Other reference textbooks:

J. W. Goodman, Introduction to Fourier Optics, 2nd Edition, Roberts and company Publishers, 2004

R.N. Bracewell The Fourier Transform and its Applications (3rd edition, revised), McGraw-Hill, New York, 1999

3. Course Website and Communications

After today, I will not be handing out any hard-copy material in class. All class

communications will be handled through the University of Arizona D2L class website.

In order to access D2L you MUST have a UA NetID to access the D2L site. The site is accessed by directing your browser to: http://d2l.arizona.edu.
 

Once you log in, you will see a list of all courses that you are registered for that are using D2L. All lecture material, homework assignments, supplemental materials, etc., will be distributed using D2L. Class announcements, including class cancellations, exam news, etc., will be distributed through D2L. Finally, all homework will be turned in, graded, and handed back through the D2L site.

4. Grading

The final grade for the course will be:

a. Homework: 15% or 0% (your choice)

b. Exams: 85% or 100% (your choice)

5. Examinations

There will be three examinations in the course, each of which is a one-hour exam. The three exams will not be cumulative, except in as much as the later parts of the course build on the material that we develop throughout the term.

All exams are in Meinel 307, and he dates/times of the exams will be:
 

October 2, 2008, 12:30 – 2:00

November 20, 2008 12:30 – 2:00

December 18, 2008 11:00 – 12:00 (note that this is the first half of the scheduled final

exam slot)

You may drop your lowest exam score, which means that if you are content with your

grade at the end of the term, you do not need to take the third exam.
 

Examinations will be CLOSED BOOK, CLOSED NOTES. All equations, formulas, etc., that you might need will be provided by the instructor.

6. Homework Policy

Homework is designed for your benefit, to help you learn, and to prepare you for exams. It can also be used to bolster your overall score in the class. I will figure your final grade with and without the homework assignments, and I will assign you the higher of the two grades.
 

There will be approximately 10 homework assignments during the term. The homework assignments will be due by midnight on Thursday for in-class students and Sunday for DL students. Homework assignments may include computer exercises, written out exercises, or both. In-class students may turn in homeworks by Sunday for 20% reduced credit. Solutions will be posted on Mondays, and late homework will not be accepted. Approximately 1/3 of the assigned problems will be graded each week, and the same problems will be graded for all students on any particular assignment. Students may drop their 2 lowest homework scores during the semester.

All homework assignments will be turned in electronically using the D2L website. Your assignments should be in a SINGLE PDF FILE that is no more than a few MB in size. If your assignment is in multiple files, if it’s in word or powerpoint, if it’s in tif or jpeg format, or if it’s 25 MB large IT WILL NOT BE GRADED and you will be asked to reformat it.

The copy machines in the 4th floor alcove, the 6th floor of the West Wing (outside my

office) and the 7th Floor near the grad student cubicles can all be used to create adequate PDFs. Simply log in using the ID 0001 [no password required] and click on the “send”

tab.

7. Computer Exercises

Some of the homework assignments will include problems that should be evaluated on a computer. The problems are designed by me in Matlab, however any numerical package (Mathcad, Mathematica, Maple, C, Basic, etc) is acceptable. If you do not have access to any such package, please see me AS SOON AS POSSIBLE (with a really good excuse).

8. Academic Integrity

Integrity and ethical behavior are expected of every student in all academic work. This Academic Integrity principle stands for honesty in all class work, and ethical conduct in all labs and clinical assignments. This principle is furthered by the student Code of conduct and disciplinary procedures established by ABOR Policies 5-308 through 5-404, all provisions of which apply to all University of Arizona students. The Code of Academic Integrity is intended to fulfill the requirement imposed by ABOR Policy 5- 403.A.4 and otherwise to supplement the Student Code of Conduct as permitted by ABOR Policy 5-308.C.1.

For more details please see: http://dos.web.arizona.edu/uapolicies/UACAIpolicies.pdf

You are expected and encouraged to consult with your colleagues in the preparation of your homework assignments. As I stated above, homework assignments are for the benefit of the student, so if you don’t understand the homework you are the only one that will suffer. However, please do not insult your colleagues, the grader, or me by turning in directly copied homework. If you work with a colleague closely enough that your solutions might appear (legitimately) to be copied, then please disclosure the collaboration on the top of the page. It is quite acceptable to consult references, other course notes, other faculty, senior graduate students, etc., in preparing your solutions. However, any consultation with an outside source that contributes significantly to the solution you turn in should be disclosed.