The behavior of the pointing vector in the area of elementary polarization singularities

The behavior of the Pointing vector in the area of elementary polarization singularities with one or two C-points, which are bounded by regular shape s-contour is considered. It was shown that the disclinations, which move, are born and annihilate along s-contour, correspond to the singularities of the distribution of the parameters of instantaneous Poynting vector. C-points are associated with the "vortex" kind singularities of the averaged Pointing vector field if the handedness factor and topological charge of C-point are characterized by the different signs. "Impassive" Pointing singularities arise in the area, if the signs are the same. Elementary topology for the Pointing vector field is formulated. The results of the computer simulation are presented.

[1]  John Frederick Nye,et al.  Polarization effects in the diffraction of electromagnetic waves: the role of disclinations , 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[2]  Santiago Ibáñez,et al.  Singularities of vector fields on , 1998 .

[3]  Michael V. Berry,et al.  Paraxial beams of spinning light , 1998, Other Conferences.

[4]  M. Soskin,et al.  The relationship between topological characteristics of component vortices and polarization singularities , 2002 .

[5]  Steven M Block,et al.  Resource Letter: LBOT-1: Laser-based optical tweezers. , 2003, American journal of physics.

[6]  John F Nye,et al.  Natural focusing and fine structure of light: caustics and wave dislocations , 1999 .

[7]  Isaac Freund,et al.  Optical dislocation networks in highly random media , 1993 .

[8]  I. Mokhun,et al.  Angular momentum of electromagnetic field in areas of optical singularities , 2004, International Conference on Correlation Optics.

[9]  A. V. Mamaev,et al.  Wave-front dislocations: topological limitations for adaptive systems with phase conjugation , 1983 .

[10]  M V Berry,et al.  Phase vortex spirals , 2005 .

[11]  Miles J. Padgett,et al.  IV The Orbital Angular Momentum of Light , 1999 .

[12]  Miles J. Padgett,et al.  The Poynting vector in Laguerre–Gaussian beams and the interpretation of their angular momentum density , 2000 .

[13]  Oleg V. Angelsky,et al.  Singularities in vectoral fields , 1999, Correlation Optics.

[14]  Dan Cojoc,et al.  Orbital angular momentum of inhomogeneous electromagnetic field produced by polarized optical beams , 2004, SPIE Optics + Photonics.