ECE Course Outline

ECE6501

Fourier Optics and Holography (3-0-3)

Prerequisites
ECE 6500
Corequisites
None
Catalog Description
Applications of the Fourier transform and linear systems theory to the analysis of optical propagation, diffraction, imaging, holography, wavefront modulation, and signal processing.
Textbook(s)
Goodman, Introduction to Fourier Optics (3rd edition), Robert & Company Publishers, 2004. ISBN 9780974707723 (required)

Topical Outline
Two-dimensional functions and transforms
Optical wave fields and their representation
     Monochromatic waves, Plane and Spherical Waves
     Wave intensity and interference
     Optical transmittance functions
     Non-monochromatic waves and coherence 
     Complex wave amplitude transmittance
Propagation of waves - diffraction
     The angular spectrum
     Propagation in the Fresnel regime and in the Fraunhofer regime
     Inverse propagation
     Non-monochromatic wave propagation, quasimonochromatic condition
Lenses and their properties
     Ray optics modeling, Wave optics modeling
     Fourier transform property - various configurations
Image formation - monochromatic object distributions
     Imaging with Fourier transform modules
     Coherent impulse response and coherent transfer function
     General framework for analyzing coherent imaging systems
     Non-monochromatic coherent image formation
     Resolution in coherent imaging
Imaging spatially incoherent objects
     General analysis and the intensity point spread function
     The optical transfer function
     Pinhole masks and the OTF
     Resolution and the Rayleigh criterion
Imaging transparent objects
     Coherent and incoherent limits
     Practical configurations
     Modifications for microscopy - phase contrast and dark ground methods
     Differences between coherent and incoherent imaging
Wavefront modulation 
     Photographic film
     Spatial light modulators
     Diffractive optical elements
Holography
     The Gabor hologram, Off-axis reference wave hologram
     Display holograms
Coherent optical spectrum analysis
     Spectral resolution
     Practical lens systems
     Space-bandwidth product and dynamic range
     Channelized and falling-raster analysis methods
Coherent spatial filtering: convolvers and correlators
     Binary spatial filtering
     Vander Lugt and joint-transform correlators
Incoherent spatial filtering
     Shadow-casting
     Diffraction-based systems