Spatial correlation singularity of a vortex field.

Experimental and numerical techniques allowed us to predict and verify the existence of a robust phase singularity in the spatial coherence function when a vortex is present. Though observed in the optical domain, this phenomenon may occur in any partially coherent vortex wave.

[1]  David Palacios,et al.  Observed scattering into a dark optical vortex core. , 2002, Physical review letters.

[2]  Emil Wolf,et al.  Partially coherent vortex beams with a separable phase. , 2003, Optics letters.

[3]  J. Peřina,et al.  Non-diffracting beams with controlled spatial coherence , 2002 .

[4]  G. Swartzlander,et al.  Peering into darkness with a vortex spatial filter. , 2001, Optics letters.

[5]  Andrew G. White,et al.  Generation of optical phase singularities by computer-generated holograms. , 1992, Optics letters.

[6]  T. Visser,et al.  Coherence vortices in partially coherent beams , 2003 .

[7]  J. Goodman.  Statistical Optics , 1985 .

[8]  Galina Khitrova,et al.  Transverse modes, vortices and vertical-cavity surface-emitting lasers , 1994 .

[9]  M. Berry,et al.  Dislocations in wave trains , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[10]  Z. Sacks,et al.  Holographic formation of optical-vortex filaments , 1998 .

[11]  S. Ponomarenko,et al.  A class of partially coherent beams carrying optical vortices. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  L. Mertz.  Transformations in optics , 1965 .

[13]  Arvind S. Marathay,et al.  Elements of optical coherence theory , 1982 .

[14]  Emil Wolf,et al.  Two-Beam Interference with Partially Coherent Light , 1957 .

[15]  Greg Gbur,et al.  Phase singularities of the coherence functions in Young's interference pattern. , 2003, Optics letters.

[16]  Marco W. Beijersbergen,et al.  Helical-wavefront laser beams produced with a spiral phaseplate , 1994 .