# EOP513 Fourier Optics - Syllabus

## Catalog Description

Mathematical techniques pertaining to linear systems theory; Fresnel and Fraunhoffer
diffraction; Fourier transform properties of lenses; frequency analysis of optical systems,
spatial filtering, application such as optical information processing
and holography.

*January 2003 Graduate School Bulletin*

## Textbook

Joseph Goodman, *Introduction to Fourier Optics*, 3rd Ed.,
Roberts and Company, 2005.

(ISBN 0-9747077-2-4)

## Topics

- standard 1D and 2D functions and Matlab representation
- Dirac delta function
- convolution, 1D and 2D
- Fourier transforms
- Scalar diffraction theory
- Near-field and Far-field wave propagation
- Propagation of spherical waves
- Propagation in inhomogeneous media
- Effect of lenses in an optical system
- Gaussian beam propagation
- Interference patterns from multiple apertures
- Gratings
- Correlation
- Coherent optical processing
- point spread functions, optical transfer functions
- Holography

Maintained by John
Loomis, last updated *12 May 2003 *