Abstract
A monochromatic fully polarized electromagnetic wave propagating in free space possesses, in general, two families of singular lines (
C
lines) on which the transverse field is circularly polarized. The distribution of polarization ellipses around a
C
line shows that it obeys the same classification scheme as the isotropic points of a two-dimensional symmetric tensor: that is, a given section of a
C
line may belong to one of three different line patterns and it may be elliptic or hyperbolic. In addition it may be left-or right-handed. However, the way in which the polarization ellipses are executed in time shows that
C
lines may also be regarded as singularities of phase, analogous to line dislocations or interference fringes in scalar waves. From this point of view, a given line is of edge or screw type, according to its orientation, or, more generally, is a curved line of mixed edge-screw type. The whole field is divided into regions of opposite hand by surfaces
S
of linear polarization, and each family of
C
lines is confined to just one of these regions.
Reference6 articles.
1. Berry M. V. & Hannay J. H. 1977 J.Phys. A 10 1809-1821.
2. Born M. & Wolf E. 1970 In Principles of optics 4th edn p. 34. Oxford: Pergamon Press.
3. Hutchinson H. J. Nye J. F. & Salmon P. S. 1983 Journal of Structural Mechanics. (In the press.)
4. Polarization effects in the diffraction of electromagnetic waves: the role of disclinations
5. Dislocations in wave trains
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