Fall 2020
ECE 498 - Fourier Optics
Textbook: G. Popescu, Principles of Biophotonics, Volume 1, “Linear systems and the Fourier transform in Optics” (IOP Publishing, 2018).
Schedule: 11:00-11:50 T,R Online
Office Hours: TBD
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Day |
Date |
Topic |
Supporting Material |
Homework |
Links |
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28 |
T |
Aug 25 |
Introduction: Brief history of Optics |
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27 |
R |
Aug 27 |
Superposition principle: Green’s and Fourier’s methods |
Chapter 1 |
Homework 1 |
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26 |
T |
Sep 1 |
Linear systems: linearity, shift-invariance |
Chapter 2 |
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25 |
R |
Sep 3 |
Linear systems: causality, stability |
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24 |
T |
Sep 8 |
Spatial and temporal frequencies |
Chapter 3 |
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23 |
R |
Sep 10 |
1D Fourier transform: definition, conditions, significance of spectral phase |
Chapter 4 |
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22 |
T |
Sep 15 |
1D Fourier transform: properties of 1D FT |
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21 |
R |
Sep 17 |
1D Fourier transform: common 1D FT pairs |
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Homework 3 |
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20 |
T |
Sep 22 |
2D Fourier transform: definition, conditions, significance of spectral phase |
Chapter 5 |
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19 |
R |
Sep 24 |
2D Fourier transform: properties and common 2D FT pairs |
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Homework 4 |
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18 |
T |
Sep 29 |
3D Fourier transform: definition, conditions, significance of spectral phase |
Chapter 6 |
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17 |
R |
Oct 1 |
3D Fourier transform: properties and common 3D FT pairs |
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Homework 5 |
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16 |
T |
Oct 6 |
Midterm 1 |
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15 |
R |
Oct 8 |
The uncertainty relation: spatial and temporal spread of optical fields |
Chapter 8 |
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14 |
T |
Oct 13 |
The uncertainty relation: effects of chirp on pulses, effects of aberrations on spatial resolution |
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Homework 6 |
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13 |
R |
Oct 15 |
Light emission: Radiometric and photometric properties of light |
Vol. 2 |
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12 |
T |
Oct 20 |
Light emission: fluorescence |
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11 |
R |
Oct 22 |
Light emission: black body radiation |
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Homework 7 |
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10 |
T |
Oct 27 |
Light emission: LASER |
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Homework 8 | |||
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9 |
R |
Oct 29 |
Midterm 2 |
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T |
Nov 3 |
Election Day |
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8 |
R |
Nov 5 |
Spatial wave propagation: impulse response |
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7 |
T |
Nov 10 |
Spatial wave propagation: diffraction of scalar fields |
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6 |
R |
Nov 12 |
Spatial wave propagation: Fresnel approximation |
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Homework 9 | |||
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5 |
T |
Nov 17 |
Spatial wave propagation: Fraunhofer approximation |
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4 |
R |
Nov 19 |
Temporal wave propagation: Fourier properties of lenses |
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Homework 10 |
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T |
Nov 24 |
Fall Break |
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R |
Nov 26 |
Fall Break |
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3 |
T |
Dec 1 |
Temporal wave propagation: impulse response |
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2 |
R |
Dec 3 |
Temporal wave propagation: propagation of pulses in dispersive media |
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1 |
T |
Dec 8 |
Temporal wave propagation: phase group and signal velocities |
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Homework 11 |
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R |
Dec 10 |
Reading Day |
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TBA |
Final Exam |
ROOM TBA |
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Grading formula: Midterm 20%; Midterm 2 20%, Final exam 30%; Homework - 20%; Class participation/ quizzes - 10% .
REFERENCES
1. A. Papoulis The Fourier integral and its applications (McGraw-Hill, New York,, 1962).
2. R. N. Bracewell The Fourier transform and its applications (McGraw Hill, Boston, 2000).
3. J. W. Goodman Introduction to Fourier optics (McGraw-Hill, New York, 1996).
4. M. Born and E. Wolf Principles of optics : electromagnetic theory of propagation, interference and diffraction of light (Cambridge University Press, Cambridge ; New York, 1999).
Statements relevant for courses with an in-person component for Fall 2020
COVID
Following University policy, all students are required to engage in appropriate behavior to protect the health and safety of the community, including wearing a facial covering properly, maintaining social distance (at least 6 feet from others at all times), disinfecting the immediate seating area, and using hand sanitizer. Students are also required to follow the campus COVID-19 testing protocol.
Students who feel ill must not come to class. In addition, students who test positive for COVID-19 or have had an exposure that requires testing and/or quarantine must not attend class. The University will provide information to the instructor, in a manner that complies with privacy laws, about students in these latter categories. These students are judged to have excused absences for the class period and should contact the instructor via email about making up the work.
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