Spring 2019
ECE 398  Fourier Optics
Textbook: G. Popescu, Principles of Biophotonics, Volume 1, “Linear systems and the Fourier transform in Optics” (IOP Publishing, 2018).
Schedule: 12:301:50 TR, 3015 ECEB
Office Hours: Thursdays 23PM, 4055 Beckman
# 
Day 
Date 
Topic 
Supporting Material 
Homework 
Links 
28 
T 
Jan 15 
Introduction: Brief
history of Optics 


27 
R 
Jan 17 
Superposition principle: Green’s and Fourier’s methods 
Chapter 1 
Homework 1 

26 
T 
Jan 22 
Linear systems: linearity, shiftinvariance 
Chapter 2 

25 
R 
Jan 24 
Linear systems: causality, stability 

Homework 2 

24 
T 
Jan 29 
Spatial and temporal frequencies 
Chapter 3 

23 
R 
Jan 31 
1D Fourier transform: definition,
conditions, significance of spectral phase 
Chapter 4 

22 
T 
Feb 5 
1D Fourier transform: properties
of 1D FT 


21 
R 
Feb 7 
1D Fourier transform: common
1D FT pairs 

Homework 3 

20 
T 
Feb 12 
2D Fourier transform: definition,
conditions, significance of spectral phase 
Chapter 5 

19 
R 
Feb 14 
2D Fourier transform: properties
and common 2D FT pairs 

Homework 4 

18 
T 
Feb 19 
3D Fourier transform: definition,
conditions, significance of spectral phase 
Chapter 6 


17 
R 
Feb 21 
3D Fourier transform: properties
and common 3D FT pairs 

Homework 5 

16 
T 
Feb 26 
Midterm
1 


15 
R 
Feb 28 
The uncertainty relation: spatial and temporal
spread of optical fields 
Chapter 8 

14 
T 
Mar 5 
The uncertainty relation: effects of chirp on pulses, effects of aberrations on spatial
resolution 

Homework 6 

13 
R 
Mar 7 
Light emission: Radiometric
and photometric properties of light 
Vol. 2 


12 
T 
Mar 12 
Light emission: fluorescence 



R 
Mar 14 
Light emission: black
body radiation 

Homework 7 


T 
Mar 19 
Spring Break 




R 
Mar 21 
Spring Break 


11 
T 
Mar 26 
Light emission: LASER 

Homework 8 

10 
R 
Mar 28 
Midterm
2 



9 
T 
Apr 02 
Spatial wave propagation: impulse response 
Vol. 3 

8 
R 
Apr 04 
Spatial wave propagation: diffraction of scalar fields 


7 
T 
Apr 9 
Spatial wave propagation: Fresnel approximation 

Homework 9 

6 
R 
Apr 11 
Spatial wave propagation: Fraunhofer approximation 



5 
T 
Apr 16 
Spatial wave propagation: Fourier properties of lenses 

Homework 10 

4 
R 
Apr 18 
Temporal wave propagation: impulse response 



3 
T 
Apr 23 
Temporal wave propagation: propagation of pulses in dispersive media 


2 
R 
Apr 25 
Temporal wave propagation: phase group and signal velocities 

Homework 11 

1 
T 
Apr 30 
Review 




R 
May 2 
Reading
Day 




TBA 
Final
Exam 
ROOM
TBA 

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 (McGrawHill, 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
(McGrawHill, 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).