EE 8390: Fourier Optics
Spring 2008
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Course Description |
This course is directed at the
analysis of optical systems using multi-dimensional Fourier Analysis. Areas addressed include: Diffraction, Analysis of the Frequency Response
of Optical Imaging Systems, Optical Signal Processing, and Holography. This course should aid the student in
developing intuition regarding expected performance of optical systems. |
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Co/Pre-requisites |
EE5336/7336 or
Permission of Instructor |
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Time |
MW 3:30-4:50 |
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Location |
Junkins 203 |
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Course Website |
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Required Text |
Introduction to Fourier Optics, 3rd
Edition, Joseph W. Goodman, Roberts & Company publishers, ISBN
0-9747077-2-4. |
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Instructor |
Marc P.
Christensen JJ311 (inside
EE Suite) 214-768-3113 |
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Office Hours |
By appointment
(contact me or sbailey@engr.smu.edu
to arrange) |
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Honor Code |
Students in
this class must abide by the |
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SMU Incomplete Grades Policy |
An Incomplete (I) may be given if the majority of the course
requirements have been completed with passing grades but for some justifiable
reason, acceptable to the instructor, the student has been unable to complete
the full requirements of the course. Before an (I) is given, the instructor
should stipulate, in writing, to the student the requirements and completion
date that are to be met and the grade that will be given if the requirements
are not met by the completion date.
The maximum period of time allowed to clear the Incomplete grade is 12
months (except for graduate thesis and dissertation courses). If the Incomplete grade is not cleared by
the date set by the instructor or by the end of the 12-month deadline, the
(I) may be changed to an F or to another grade specified by the
instructor. The grade of (I) is not
given in lieu of an F, WP, or other grade, each of which is prescribed for
other specific circumstances. If the
student's work is incomplete and the quality has not been passing, an F will
be given. The grade of (I) does not
authorize the student to attend the course during a later semester. Graduation candidates must clear all
Incompletes prior to the deadline in the official University Calendar, which
may allow less time than 12 months.
Failure to do so can result in removal from the degree candidacy list
and/or conversion of the (I) to the grade indicated by the instructor at the
time the (I) was given. |
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Disability Accommodations |
Students
needing academic accommodations for a disability must first contact Ms.
Rebecca Marin, Coordinator, Services for Students
with Disabilities (214-768-4557) to verify the disability and establish
eligibility for accommodations. They
should then schedule an appointment with the professor to make appropriate
arrangements. (See University Policy
No. 2.4.) |
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Religious Observance |
Religiously
observant students wishing to be absent on holidays that require missing
class should notify their professors in writing at the beginning of the
semester, and should discuss with them, in advance, acceptable ways of making
up any work missed because of the absence.
(See University Policy No. 1.9.) |
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Official Absences |
Students participating in
an officially sanctioned, scheduled University extracurricular activity will
be given the opportunity to make up class assignments or other graded
assignments missed as a result of their participation. It is the responsibility of the student to
make arrangements with the instructor prior to any missed scheduled
examination or other missed assignment for making up the work. (University Undergraduate Catalogue). Please note that the third statement
references a new policy passed by the Faculty Senate last year ensuring that
students are not penalized in any way for excused absences and that they are
informed at the beginning of the semester of their instructors' make-up policies |
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Notes |
PowerPoint
slides used during lectures will be provided via the course website. |
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Email/web |
On the remote
chance that you do not have access to electronic mail and the internet, you
should contact a SEAS system manager at 214-768-7327 (214- |
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Grade Composition |
Homework 25% Preliminary Exam Review TEST 30% Project 15% |
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Homework |
Homework will be assigned on each chapter
of the text. The homework will be due
at the beginning of lecture, 1 week after it was assigned. Each homework problem is worth 10 points.
Students are encouraged to work together on the homework in person or by
email. Copying another student’s homework is not “working together” and is a
violation of the honor code. If you
are working with one or more persons, list their names as collaborators as
appropriate on each homework problem of each homework assignment. To avoid the appearance of copying, each
homework solution should be in your own words and style and should not be an
exact reproduction of another person’s solution. Please write large and legible on the
homework and the exams (especially important for faxed material). All homework will have the following
format: 1.
Full name, student ID, course
number, homework assignment number and date. 2.
If the homework is not legible, it
will be returned ungraded. 3.
For EACH problem: begin with a statement of what is given and
then state what is to be found. Use
words to explain steps along the way. 4.
Units need to be properly used
throughout the problem. If the units
are not given, no credit will be given for the problem. 5.
For questions requiring a written
answer, provide references for your answer.
Do not plagiarize. Rewrite in
your own words material that you find in reference books and on the web. 6. Staple
all pages together. |
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Late Penalty |
The penalty for homework submitted after
the due date is a reduction of the grade by 10% of the maximum score per
calendar day. |
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Exams: |
There will be one preliminary
examination and one final.
Examinations will be in an open notes, open
book, take home format. |
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Projects: |
There will be one project as part of
this class. This will comprise a
research paper or design activity with a report and presentation. A list of possible topics will be provided
to the class. |
Course Schedule:
|
Week(s) |
Topic |
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0.5 |
Introduction |
|
1 |
Scalar Diffraction Theory |
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2.5 |
Fresnel & Fraunhofer
Diffraction |
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2.5 |
Wave Optics & Coherent
Optical Systems |
|
2.5 |
Frequency Analysis of Optical
Systems |
|
1 |
Wavefront Modulation |
|
2 |
Analog Optical Information
Processing |
|
1 |
Holography |
|
1 |
Optical Communications |
|
14 |
Total |
Detailed Outline:
|
Level of Detail |
Topic |
|
|
1.0
Introduction |
|
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2.0
Analysis of 2-D Signals & Systems Viewgraphs |
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Intro |
2.1 Fourier Analysis in 2-D |
|
Background |
2.2 Spatial Frequency and
Space-Frequency Localization |
|
Background |
2.3 Linear System |
|
Background |
2.4 2-D Sampling Theory |
|
|
3.0
Foundations of Scalar Diffraction Theory Viewgraphs |
|
Background |
3.1 Historical Intro |
|
Background |
3.2 From Vector to Scalar Theory |
|
Background |
3.3 Some Mathematical Preliminaries |
|
Background |
3.4 Kirchoff
Fomulation of Diffraction by a Planar Screen |
|
Background |
3.5 Rayleigh Sommerfeld
Formulation of Diffraction |
|
Background |
3.6 Comparison of Kirchoff
& Rayleigh-Sommerfeld Diffraction |
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Covered |
3.7 Huygens-Fresnel Principle |
|
Extra |
3.8 Generalization to Monochromatic
Waves |
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Extra |
3.9 Diffraction at Boundaries |
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Covered |
3.10 The Angular Spectrum of Plane
Waves |
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4.0
Fresnel and Fraunhofer Diffraction Viewgraphs |
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Covered |
4.1 Background |
|
Covered |
4.2 The Fresnel Approximation |
|
Covered |
4.3 The Fraunhofer Approximation |
|
Covered |
4.4 Examples of Fraunhofer Diffraction
Patterns |
|
Covered |
4.4 Examples of Fresnel Diffraction
Calculations |
|
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5.0
Wave-Optics Analysis of Coherent Optical Systems Viewgraphs |
|
Covered |
5.1 A Thin Lens as a Phase
Transformation |
|
Covered |
5.2 Fourier Transforming Properties of
a Lens |
|
Covered |
5.3 Image Formation: Monochromatic Illumination |
|
Extra |
5.4 Analysis of Complex Coherent
Optical Systems (Operator Notation) |
|
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6.0
Frequency Analysis of Optical Systems Viewgraphs |
|
Covered |
6.1 Generalized Treatment of Imaging
Systems |
|
Covered |
6.2 Frequency Response for Diffraction
Limited Coherent Imaging |
|
Covered |
6.3 Frequency Response for Diffraction
Limited Incoherent Imaging |
|
Covered |
6.4 Aberrations |
|
Covered |
6.5 Comparison of Coherent and
Incoherent Imaging |
|
Covered |
6.6 Resolution Beyond the Classical
Diffraction Limit |
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7.0
Wavefront Modulation |
|
Topical |
7.1 Wavefront
Modulation with Photographic Film |
|
Topical |
7.2 Spatial Light Modulators |
|
Extra |
7.3 Diffractive Optical Elements |
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8.0
Analog Optical Information Processing Viewgraphs |
|
Topical |
8.1 Historical Background |
|
Topical |
8.2 Incoherent Image Processing
Systems |
|
Topical |
8.3 Coherent Optical Information
Processing Systems |
|
Topical |
8.4 The VanderLugt
Filter |
|
Covered |
8.5 The Joint Transform Correlator |
|
Covered |
8.6 Applications to Character
Recognition |
|
|
8.7 Optical Approaches to Invariant Pattern
Recognition |
|
Covered |
8.8 Image Restoration |
|
Topical |
8.9 Processing Synthetic Aperture
RADAR (SAR) Data |
|
Topical |
8.10 Acousto-Optic
Signal Processing Systems |
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Extra |
8.11 Discrete Analog Optical Processos |
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9.0 Holography Viewgraphs |
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Topical |
9.1 Historical Introduction |
|
Topical |
9.2 The Wavefront
Reconstruction Problem |
|
Topical |
9.3 The Gabor Hologram |
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Covered |
9.4 The Leith-Upatnieks
Hologram |
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Extra |
9.5 Image Locations and Magnification |
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Topical |
9.6 Some Different Types of Holograms |
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Extra |
9.7 Thick Holograms |
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Extra |
9.8 Recording Materials |
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Topical |
9.9 Computer Generated Holograms |
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Extra |
9.10 Degradations of Holographic Images |
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Extra |
9.11 Holography with Spatially
Incoherent Light |
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Topical |