OPTI 330
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Physical Optics II (3 units). Linear system theory, Fourier optics, image formation, interference, optical transfer function. Prerequisite: OPTI 310.

Instructor:
Amit Ashok

Office Hours:
Monday: 11am-12noon, Wednesday:11am-12noon
Room 421 | ashoka@optics.arizona.edu | 626 4815

Course Objectives:

  1. Become proficient in analyzing linear shift-invariant systems.
  2. Learn the Fourier transform and its properties.
  3. Understand discrete representation of continuous signals and Fourier transform.
  4. Learn to manipulate discrete signals on a computer.
  5. Understand diffraction and image formation using physical optics principles.
  6. Understand the principles of Fourier optics and Spatial Image processing.
Textbook:
Course notes will be provided for all the lectures, free of charge via the class website. However, it is strongly recommended that the students purchase the following textbook:
Gaskill, J.D. (1978). Linear Systems, Fourier Transform, and Optics. John Wiley and Sons.
Course D2L Site
The course’s online component will be conducted via the University of Arizona’s Desire2Learn software system. The D2L can by accessed by this link: www.d2l.arizona.edu

Examinations
There will be two 1-hour, in-class examinations and the final examination will be a cumulative 2-hour examination in the regular class location.

Grading
The final grade for the class will have following components:
  1. Homework: 20%
  2. Matlab Assignments: 10%
  3. Midterm Exams: 40%
  4. Final Exam: 30%
Course Outline
  1. Mathematical and Physical Background (1 Week)
    1. Huygen’s principle
    2. Complex numbers
    3. Signals and Special functions

  2. Linear Systems Theory (2 Weeks)
    1. Linear Shift Invariant (LSI) Systems
    2. Convolution and Correlation operators

  3. Fourier Transforms, Linear Systems, and Filtering (3 weeks)
    1. Fourier series
    2. Fourier transform and its properties
    3. Convolution theorem
    4. Filters and signal processing

  4. Sampling and Discrete Signal Processing (3 weeks)
    1. Sampling theorem and reconstruction
    2. Discrete Fourier Transform (DFT) and its properties
    3. Interpolation, sub-sampling, and discrete filters
    4. Discrete convolution

  5. Diffraction and Propagation (2 weeks)
    1. Wave propagation and coherence
    2. Fresnel diffraction
    3. Fraunhofer diffraction
    4. Diffraction from lenses

  6. Diffraction Effects in Imaging Systems (3 weeks)
    1. Image formation
    2. Fourier optics and frequency domain description
    3. Coherence and resolution