ECE 51300 - Diffraction, Fourier Optics and Imaging

Course Details

Lecture Hours: 3 Credits: 3

Counts as:

  • EE Elective
  • CMPE Special Content Elective

Normally Offered:

Fall - odd years

Campus/Online:

On-campus and online

Requisites:

ECE 30100 or (ECE 30411 or ECE 31100)

Requisites by Topic:

Signals and systems and electromagnetic fields

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. Computational Fourier Optics: A MATLAB Tutorial , D. Voelz , SPIE Press , 2011
  3. Computational Methods for Electromechanical and Optical Systems , 2nd Edition , J. M. Jarem, P. B. Banerjee , CRC Press , 2011
  4. Confocal Microscopy , T. Wilson, editor , Academic Press , 1990
  5. Electromagnetic Diffraction and Propagation Problems , V.A. Fock , Pergamon Press , 1965
  6. Electromagnetic Theory and Geometrical Optics , M. Kline, and I.W. Kay , Interscience Publishers , 1965
  7. Engineering Optics with MATLAB , T-C Poon, T. Kim , World Scientific , 2006
  8. Fiber-Optic Communication Systems , G.P. Agrawal , J. Wiley , 1992, 1997
  9. Fourier Series and Optical Transform Techniques in Contemporary Optics , R.G. Wilson , Wiley , 1995
  10. Fundamentals of Magnetic Resonance Imaging , D.W. Chakeres, P. Schmalbrock , Williams & Wilkins , 1992
  11. Fundamentals of Photonics , B.E. Saleh, M.C. Teich , J. Wiley , 1991
  12. Image Recovery: Theory and Application , H. Stark , Academic Press , 1987
  13. Introduction to Fourier Optics , 2nd Edition , J.W. Goodman , McGraw Hill , 1996
  14. MRI: Basic Principles and Applications , M.A. Brown , Wiley-Liss , 1995
  15. Numerical Simulation of Optical Wave Propogation , J.D. Schmidt , SPIE Press , 2010
  16. Optics , 2nd Edition , M.V. Klein, T.E. Furtak , J. Wiley , 1986
  17. Optics , 2nd Edition , K.D. Moller , Springer , 2002
  18. Principles of Computerized Tomographic Imaging , A.C. Kak, Malcolm Slaney , IEEE Press, New York , 1988
  19. Progress in Optics, Vols. XIV, XVI, XXI , E. Wolf, Editor
  20. Synthetic Aperture Radar , J.P.Fitch , Springer-Verlag , 1988
  21. Theory of Dielectric Optical Waveguides , D. Marcuse , Academic Press , 1991
  22. Waves in Focal Regions , J.J. Stamnes , Adam Hilger , 1986

Learning Outcomes:

A student who successfully fulfills the course requirements will have demonstrated:
  1. A knowledge of a number of important technologies based on diffractive wave propagation, multidimensional Fourier analysis and synthesis techniques. [1,4]
  2. An understanding of machine learning techniques, such as deep learning for inverse problems and modern . [2,4,6]
  3. Knowledge of developments in the areas of modern imaging modalities. [2,4,6]
  4. A knowledge of a number of other topics, such as image and phase recovery with related applications in areas such as lensless imaging and superresolution. [1,2,6]
  5. An ability to utilize the theoretical analysis of topics based on multidimensional Fourier analysis and synthesis and machine learning for various system designs. [1,2,6]

Lecture Outline:

Week(s) Topics
1 Foundations of Diffraction Theory
1 Angular Spectrum Method
1 Fresnel and Fraunhofer Diffraction
1 Fourier Analysis of Optical Systems and Image Formation
1 Machine Learning Techniques in Imaging and Inverse Problems
2 Image/Phase Recovery
2 Superresolution
1 Lensless Imaging
1 Optimization Techniques
1 Wavefront Reconstruction (Holography)
1 Digital Holography
1 Digital Microscope

Engineering Design Content:

  • Establishment of Objectives and Criteria
  • Synthesis
  • Analysis
  • Construction
  • Testing
  • Evaluation

Assessment Method:

Weekly homework, exams, final project based on simulation