ECE 569 - Inverse Problems in Optics

Official Description

Physical optics, solution of linear inverse problems, and computed imaging. Forward problems in diffraction, asymptotics, ray propagation, x-ray projections, scattering, sources, optical coherence tomography, and near-field optics. Solution of associated inverse problems including back-propagation, back-projection, Radon transforms (x-ray CT), inverse scattering, source localization, interferometric synthetic aperture microscopy, and near-field tomography. Special topics as time permits. Course Information: Prerequisite: ECE 460.

Subject Area

Electromagnetics, Optics and Remote Sensing

Course Director

Description

Forward and inverse problems in physical optics starting from Maxwell's equations and extending to ray optics.

Topics

  • Mathematical methods in linear inverse problems
  • Diffraction and propagation of light <-> inverse diffraction, back-propagation
  • Asymptotics, rays, shadow <-> inverse Radon transform, CAT
  • Scattering <-> diffraction tomography
  • RADAR <-> SAR
  • Optical coherence tomography <-> interferometric synthetic aperture microscopy
  • Near-field optics <-> near field tomography

Detailed Description and Outline

Topics:

  • Mathematical methods in linear inverse problems
  • Diffraction and propagation of light inverse diffraction, back-propagation
  • Asymptotics, rays, shadow inverse Radon transform, CAT
  • Scattering diffraction tomography
  • RADAR SAR
  • Optical coherence tomography interferometric synthetic aperture microscopy
  • Near-field optics near field tomography

Texts

Recommended:
E. Wolf and L. Mandel, Optical Coherence and Quantum Optics, Cambridge University Press, 1995.

Last updated

2/13/2013