ECE 51300 - Diffraction, Fourier Optics and Imaging

Lecture Hours: 3 Credits: 3

Counts as:
CMPE Special Content Elective
EE Elective

Normally Offered: Fall - odd years

Requisites:
ECE 30100 or (ECE 30411 or ECE 31100)

Catalog Description:
Modern theories of diffraction and Fourier optics for imaging, optical communications and networking, micro/nano technologies and related devices and systems. Imaging techniques involving diffraction and/or Fourier analysis such as tomography, magnetic resonance imaging, synthetic aperture radar and confocal microscopy. Topics in optical communications and networking including wave propagation in free space, fiber, and integrated optics, and related design issues. Micro/nano technologies involving diffraction and/or Fourier analysis. simulation studies using Matlab and other professional software packages for analysis and design.

Required Text(s):
  1. Diffraction, Fourier Optics and Imaging, Okan K. Ersoy, J. Wiley, 2007, ISBN No. 0-471-23816-3.
Recommended Text(s):
  1. Applications of Optical Fourier Transforms, H. Stark, Academic Press, 1982.
  2. Confocal Microscopy, T. Wilson, editor, Academic Press, 1990.
  3. Electromagnetic Diffraction and Propagation Problems, V.A. Fock, Pergamon Press, 1965.
  4. Electromagnetic Theory and Geometrical Optics, M. Kline, and I.W. Kay, Interscience Publishers, 1965.
  5. Fiber-Optic Communication Systems, G.P. Agrawal, J. Wiley, 1992, 1997.
  6. Fourier Series and Optical Transform Techniques in Contemporary Optics, R.G. Wilson, Wiley, 1995.
  7. Fundamentals of Magnetic Resonance Imaging, D.W. Chakeres, P. Schmalbrock, Williams & Wilkins, 1992.
  8. Fundamentals of Photonics, B.E. Saleh, M.C. Teich, J. Wiley, 1991.
  9. Introduction to Fourier Optics, 2nd Edition, J.W. Goodman, McGraw Hill, 1996.
  10. MRI: Basic Principles and Applications, M.A. Brown, Wiley-Liss, 1995.
  11. Optics, 2nd Edition, M.V. Klein, T.E. Furtak, J. Wiley, 1986.
  12. Principles of Computerized Tomographic Imaging, A.C. Kak, Malcolm Slaney, IEEE Press, New York, 1988.
  13. Progress in Optics, Vols. XIV, XVI, XXI, E. Wolf, Editor.
  14. Synthetic Aperture Radar, J.P.Fitch, Springer-Verlag, 1988.
  15. Theory of Dielectric Optical Waveguides, D. Marcuse, Academic Press, 1991.
  16. Waves in Focal Regions, J.J. Stamnes, Adam Hilger, 1986.
  17. .

Learning Outcomes:

A student who successfully fulfills the course requirements will have demonstrated:
  1. a knowledge of a number of important technologies based on wave propagation such as tomography, synthetic aperture radar, a number of other imaging modalities and optical devices, in particular, the ones used in optical communications and networking involving the principles of diffraction and/or Fourier analysis and synthesis techniques. [1,4]
  2. a knowledge of developments in the areas of device fabrication and computer technology for the fabrication of optical components and implementation of imaging modalities not possible until recently. [2,4,6]
  3. an ability to deal with the analysis of imaging techniques, especially with coherent waves often involving diffraction. [1,2,4,6]
  4. a knowledge of a number of other topics in optical communications and networking such as dense wavelength division multiplexing (DWDM) systems and devices, directional couplers in fiber and integrated optics, measurement and analysis of very short pulses, and image recovery involving Fourier analysis and Fourier iterative optimization techniques. [1,2,4]
  5. an ability to utilize the theoretical analysis of such topics based on Fourier analysis and synthesis for system and device fabrications. [1,2,6]

Lecture Outline:

Week Topics
1 Foundations of Diffraction Theory
2 Angular Spectrum Method
3 Fresnel and Fraunhofer Diffraction
4 Fourier Analysis of Optical Systems and Image Formation
5 Spatial Filtering and Optical Information Processing
6 Tomography and Synthetic Aperture Radar
7 Magnetic Resonance Imaging
8 Optimization Techniques
9 Wavefront Reconstruction (Holography)
10 Diffractive Optical Elements
11 Diffraction Gratings and Zone Plates I
12 Micro/Nano Devices and Rigorous Diffraction Theory
13 Numerical Methods
14 Wavelength Division Multiplexing and Demultiplexing
15 Exams

Engineering Design Content:

Establishment of Objectives and Criteria
Synthesis
Analysis
Construction
Testing
Evaluation