TY - JOUR

T1 - Rotational transformations of polarization singularities in three-dimensional optical fields

T2 - I. Ordinary points

AU - Freund, Isaac

PY - 2012/11/1

Y1 - 2012/11/1

N2 - In three-dimensional (3D) optical fields every ordinary point is a polarization singularity, here an ordinary polarization singularity, or O point, in three orthogonal planes oriented normal to the three principal axes (major, minor, and ellipse normal) of the polarization ellipse at the point. The canonical point polarization singularities: points of circular polarization, C points on C lines, and points of linear polarization, L points on L lines, are embedded in, and interact with, this sea of O points. O, C, and L points undergo a variety of democratic reactions in which O points collide with and replace C or L points, inverting the sign of the topological charge associated with the point. These reactions highlight the fact that not only must a consistent description of 3D light include O points and their reactions, but also that the charge of a C or L line segment is not an invariant, but is context dependent.

AB - In three-dimensional (3D) optical fields every ordinary point is a polarization singularity, here an ordinary polarization singularity, or O point, in three orthogonal planes oriented normal to the three principal axes (major, minor, and ellipse normal) of the polarization ellipse at the point. The canonical point polarization singularities: points of circular polarization, C points on C lines, and points of linear polarization, L points on L lines, are embedded in, and interact with, this sea of O points. O, C, and L points undergo a variety of democratic reactions in which O points collide with and replace C or L points, inverting the sign of the topological charge associated with the point. These reactions highlight the fact that not only must a consistent description of 3D light include O points and their reactions, but also that the charge of a C or L line segment is not an invariant, but is context dependent.

KW - Polarization singularities

KW - Singular optics

KW - Vortices

UR - http://www.scopus.com/inward/record.url?scp=84867580450&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2012.07.035

DO - 10.1016/j.optcom.2012.07.035

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AN - SCOPUS:84867580450

SN - 0030-4018

VL - 285

SP - 4745

EP - 4758

JO - Optics Communications

JF - Optics Communications

IS - 24

ER -