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.

Prerequisites

Credit in ECE 460

Subject Area

Electromagnetics, Optics and Remote Sensing

Course Directors

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