Class is Monday, Wednesday, Friday 11:0011:50 in EPS 110.
The professor this term is David Dickensheets, davidd@ee.montana.edu, (406) 9947874, 530 Cobleigh Hall.
David's Office Hours are Tues. 10:0012:00.
The way your camera lens collects and focuses light is governed by the physics of diffraction. Under many situations we can cast this diffraction problem in the form of a Fourier integral. Furthermore, since optical systems tend to be linear over a large range of light intensities, we can take advantage of all that we know about linear systems theory and Fourier transforms to analyze and better understand optical systems. Concepts such as convolution and transfer functions that electrical engineers are accustomed to applying to electrical systems are central to the understanding of optical imaging systems as well. This systemsview of the diffraction problem has come to be known as "Fourier optics", and the concepts and tools covered in this class find wide application in optical instrument design and system analysis.
Welcome to EE581!
To be completed prior to lecture on the indicated dates
Lecture Date  Reading Assignment  Lecture Topic 
8/29  Introduction, Review of Fourier Transforms  
8/31  Chapter 1 and Chapter 2, sect. 2.1  Fourier Transform properties review 
9/2  2.1,2.2  2D Fourier transforms; Fourier Bessel Transforms 
9/5  No Class  Labor Day  
9/7  2.3,2.4  Linear Shift Invariant Systems; 2D sampling 
9/9  Chapter 3: 3.1  Huygen's principle; scalar wave equation; monochromatic waves 
9/12  3.2,3.3  Green's function applied to diffraction 
9/14  3.4,3.5,3.6  Kirchoff Diffraction 
9/16  3.7,3.8,3.9  Rayleigh Sommerfeld Diffraction 
9/19  3.10  Angular Spectrum of Plane Waves, Numerical Techniques 
9/21  4.1,4.2  Fresnel Diffraction 
9/23  4.3  Fresnel and Fraunhofer Diffraction 
9/26  4.3  Fraunhofer Diffraction of rectangular and circular apertures 
9/28  4.4  Far field diffraction from phase gratings 
9/30  4.4  Periodic apertures using Fourier series 
10/3  catch up  
10/5  4.5  Fresnel diffraction  rectangular symmetry; paraxial transfer function 
10/7  4.5  Fresnel diffraction example with circular symmetry 
10/10  4.5  Talbot planes 
10/12  5.1,5.2  Young's interferometer demo; Lenses as a phase transformation 
10/14  no class meeting  
10/17  Midterm #1 (first 4 chapters of Goodman)  
10/19  5.2,5.3  Fourier transforming properties of lenses 
10/21  5.3  image formation as a convolution 
10/24  5.3  more on image formation 
10/26  5.3,5.4 (operator notation optional)  more examples of image formation, more complex systems 
10/28  6.1, 6.2  Geometrical Optics Review, first look at ATF 
10/31  6.1, 6.2  Diffraction Limits for maximum resolvable frequency: Abbe's limit, exit pupil diffraction and the Amplitude Transfer Function 
11/2  6.1, 6.2  Temporal and Spatial Coherence; Correlation and Coherence of Functions 
11/4  6.3  Derivation of system response for coherent and incoherent cases 
11/7  6.3  Optical Transfer Function and Modulation Transfer Function 
11/9  6.4  Examples comparing OTF and ATF for imaging systems; physical view of OTF; Aberrated systems 
11/11  No Class  Veterans' Day  
11/14  6.5, 6.6  Wrapup of Frequency Domain Analysis 
11/16  catch up  
11/18  Midterm #2 (chapters 5 and 6 of Goodman)  
11/21  7.17.2  Introduction to wavefront modulation; LCD spatial light modulators 
11/23, 11/25  No Class  Thanksgiving Holiday  
11/28  LCD SLMs  
11/30  MEMS display technologies  
12/2  Diffractive Optics  
12/5  Diffractive optics wrapup  
12/7 
synthetic aperture systems  
12/9  synthetic aperture systems  
12/15  8:009:50 am Final Exam  
set #  Due Date  Problems  Solutions 
1  9/7  21, 22, 23, 25  handed out in class 
2  9/14  26, 28, 211  handed out in class 
3  9/23  32,35,37  handed out in class 
4  9/28 
1D angular spectrum propagation my version of 1D code in Matlab: oneDdiffract.m simple Rayleigh Sommerfeld integral calculation for reference: RSintegral.m RSkernel.m 

5  10/5  2D angular spectrum propagation  
6  10/10  Fresnel and Fraunhofer diffraction homework  handed out in class 
7  10/26  52, 53  handed out in class 
8  11/2  510, 511, 514  handed out in class 
9  11/14  62, 64, 67  handed out in class 
10  11/14  610, 613, 615  handed out in class 
11  12/2  psf and OTF for aberrated systems 
Date  Group  Demo Title 
9/30 
B  2D FFT and Fourier domain filtering 
10/7  C  Spot of Arago 
10/14  A  Young's two pinhole interferometer 
10/21  D  Talbot Self Imaging 
10/28  C  Acoustooptic Modulator 
11/4  B  Optical Fourier Transforms 
11/30  A  Computer Generated Hologram 1xN Beam FanOut 
12/2  D  
This page is maintained by David Dickensheets.