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Low-coherence interferometric imaging: solution of the one-dimensional inverse scattering problem

Citation

Chaubell, M. Julian (2004) Low-coherence interferometric imaging: solution of the one-dimensional inverse scattering problem. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-09092003-212358

Abstract

Optical coherence tomography (OCT) is a non-invasive imaging technique based on the use of light sources exhibiting a low degree of coherence. Low coherence interferometric microscopes have been successful in producing internal images of thin pieces of biological tissue; typically samples of the order of 1 milimeter in depth have been imaged, with a resolution of the order of 10 to 20 microns in some portions of the sample. In this thesis, I deal with the imaging problem of determining the internal structure of a body from backscattered laser light and low-coherence interferometry. In detail, I formulate and solve an inverse problem which, using the interference fringes that result as the back-scattering of low-coherence light is made to interfere with a reference beam, produces maps detailing the values of the refractive index within the imaged sample. Unlike previous approaches to this imaging problem, the solver I introduce does not require processing at data collection time, and it can therefore produce solutions for inverse problems of multi-layered structures containing thousands of layers from back-scattering interference fringes only. We expect that the approach presented in this work, which accounts fully for the statistical nature of the coherence phenomenon, should prove of interest in the fields of medicine, biology and materials science.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Helmholtz equation; optical coherence tomography
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied And Computational Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Bruno, Oscar P.
Thesis Committee:
  • Bruno, Oscar P. (chair)
  • Meiron, Daniel I.
  • Pierce, Niles A.
  • Fraser, Scott E.
Defense Date:5 September 2003
Author Email:julian (AT) acm.caltech.edu
Record Number:CaltechETD:etd-09092003-212358
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-09092003-212358
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3398
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:16 Sep 2003
Last Modified:26 Dec 2012 02:59

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