Share Email Print

Proceedings Paper

Reversibility of scattered fields (Conference Presentation)

Paper Abstract

In recent years, tremendous efforts have been spent on deep tissue imaging using phase conjugation, a technique used to undo the effects of light scattering in a thick tissue. Despite the early debates between Yariv and Wolf, it is still not well understood physically how deep can a field propagate into biological tissue and still be phase conjugated. In order to answer this question, we developed a light scattering theory to describe the evolution of the phase associated with a field scattered by a thick tissue block. The multiple scattering through the sample is simplified to a series of single scattering through consecutive thin tissue slices. With this theory, we identify the limits of the phase conjugation operation and recover the previous results by Yariv and Wolf, which asserts that phase conjugation is rooted in small angle approximation. Importantly, we discover the fundamental principle that rules phase conjugation: the mean axial wavenumber of a field progressively decreases to zero as it scatters multiple times. At this point, phase becomes a spatially random variable and phase conjugation becomes impossible. This result describes a fundamental phenomenon: the interaction between a deterministic object and a deterministic field can result in a random scattered field. We show that this phenomenon is rooted into Heisenberg’s uncertainty principle.

Paper Details

Date Published: 27 April 2016
PDF: 1 pages
Proc. SPIE 9718, Quantitative Phase Imaging II, 97180E (27 April 2016); doi: 10.1117/12.2216388
Show Author Affiliations
Renjie Zhou, Massachusetts Institute of Technology (United States)
Taewoo Kim, Univ. of Illinois at Urbana-Champaign (United States)
Gabriel Popescu, Univ. of Illinois at Urbana-Champaign (United States)

Published in SPIE Proceedings Vol. 9718:
Quantitative Phase Imaging II
Gabriel Popescu; YongKeun Park, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?