Title
Differential polarization imaging. IV. Images in higher Born approximations
Date Issued
01 January 1991
Access level
open access
Resource Type
journal article
Author(s)
Universidad de Nuevo León
Publisher(s)
Biophysical Society
Abstract
The theory of differential polarization imaging developed previously within the framework of the first Born approximation is extended to higher Born approximations, taking into account interactions among the polarizable groups in the object. Several properties of differential polarization images, originally described using first Born approximation are modified when higher Born approximations are used. In particular, (a) when the polarizable groups are spherically symmetric, the off-diagonal Mueller elements Mij (i not equal to j) in bright field do not vanish in higher Born approximations, as they do in the first Born approximation case. (b) In higher Born approximations, the dark field Mi4 and M4i (i = 1, 2, 3) images do not vanish as in the first Born approximation, due to the anisotropy induced by the interactions among the groups. (c) When the polarizability tensor of each group is symmetric and real, the bright field M14 and M41 images always vanish in the first Born approximation. In higher Born approximations, these terms do not vanish if the groups bear a chiral relationship to each other. Quantitative criteria for the validity of the first Born approximation in differential polarization imaging are explicitly derived for three different types of media: (a) linearly anisotropic, (b) circularly anisotropic, and (c) linearly and circularly anisotropic (medium displaying linear birefringence and circular birefringence). These criteria define the limits of thickness and the degree of anisotropy of optically thin media. Finally, the possibility to perform optical sectioning in differential polarization imaging in the presence and absence of group interactions is discussed. © 1991, The Biophysical Society. All rights reserved.
Start page
1171
End page
1182
Volume
59
Issue
6
Language
English
OCDE Knowledge area
QuÃmica fÃsica
BiofÃsica
Scopus EID
2-s2.0-0025806880
PubMed ID
Source
Biophysical Journal
ISSN of the container
00063495
Sponsor(s)
National Institute of General Medical Sciences R37GM032543
Sources of information:
Directorio de Producción CientÃfica
Scopus